{"id":900,"date":"2023-08-11T18:18:30","date_gmt":"2023-08-11T12:48:30","guid":{"rendered":"https:\/\/iitmadrasstudentscommunity.me\/?p=900"},"modified":"2023-08-12T09:45:34","modified_gmt":"2023-08-12T04:15:34","slug":"statistics-week-8-graded-assignments-iit-madras","status":"publish","type":"post","link":"https:\/\/iitmadrasstudentscommunity.me\/statistics-week-8-graded-assignments-iit-madras\/","title":{"rendered":"Statistics Week 8 Graded Assignments IIT Madras"},"content":{"rendered":"\t\t<div data-elementor-type=\"wp-post\" data-elementor-id=\"900\" class=\"elementor elementor-900\" data-elementor-post-type=\"post\">\n\t\t\t\t\t\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-d257729 elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"d257729\" data-element_type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-abdab93\" data-id=\"abdab93\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t\t\t<div class=\"elementor-element elementor-element-40eafa8 elementor-widget elementor-widget-text-editor\" data-id=\"40eafa8\" data-element_type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t<style>\/*! elementor - v3.15.0 - 02-08-2023 *\/\n.elementor-widget-text-editor.elementor-drop-cap-view-stacked .elementor-drop-cap{background-color:#69727d;color:#fff}.elementor-widget-text-editor.elementor-drop-cap-view-framed .elementor-drop-cap{color:#69727d;border:3px solid;background-color:transparent}.elementor-widget-text-editor:not(.elementor-drop-cap-view-default) .elementor-drop-cap{margin-top:8px}.elementor-widget-text-editor:not(.elementor-drop-cap-view-default) .elementor-drop-cap-letter{width:1em;height:1em}.elementor-widget-text-editor .elementor-drop-cap{float:left;text-align:center;line-height:1;font-size:50px}.elementor-widget-text-editor .elementor-drop-cap-letter{display:inline-block}<\/style>\t\t\t\t<p><em>Statistics week 8 graded assignment Complete\u00a0 Solutions Are Discussed In This Blog We Hope This Might Help You All In Matching Answers . Or For Some Others Reasons Not Able To Complete Graded Assignments\u00a0<\/em><\/p>\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-ad46de8 elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"ad46de8\" data-element_type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-7fc4a72\" data-id=\"7fc4a72\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t\t\t<div class=\"elementor-element elementor-element-85ae320 elementor-widget elementor-widget-text-editor\" data-id=\"85ae320\" data-element_type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t<div style=\"margin: 0px; padding: 0px; font-family: sans-serif; color: rgba(0, 0, 0, 0.87); font-size: 14px; background-color: #fafafc;\"><div id=\"bsX3jLzGz0ZA\" class=\"qt-question-group\" style=\"margin: 0px; padding: 0px;\"><div class=\"gcb-cols gcb-question-counter-increment gcb-question-row\" style=\"margin: 0px 0px 16px; padding: 2rem; counter-increment: question-number 1; background-color: #ffffff; box-shadow: #e1e1e1 1px 1px 1px;\"><div id=\"bsX3jLzGz0ZA.0.5046244627972096\" class=\"qt-mc-question qt-embedded\" style=\"margin: 0px; padding: 0px;\"><h4 class=\"qt-question\" style=\"margin: 0px; padding: 0px;\">1.Zaheer Khan has taken 4 five-wicket hauls in his last 15 matches. His match records are selected at random, one by one, and analyzed. If none of the match records is analyzed more than once, then what is the probability that the 11th one analyzed is his last five-wicket haul match?<\/h4><\/div><\/div><div>\u00a0<\/div><div class=\"gcb-cols gcb-question-counter-increment gcb-question-row\" style=\"margin: 0px 0px 16px; padding: 2rem; counter-increment: question-number 1; background-color: #ffffff; box-shadow: #e1e1e1 1px 1px 1px;\"><div id=\"bsX3jLzGz0ZA.0.5046244627972096\" class=\"qt-mc-question qt-embedded\" style=\"margin: 0px; padding: 0px;\"><div class=\"qt-choices\" style=\"margin: 16px 0px 0px; padding: 0px;\"><div class=\"gcb-mcq-choice\" style=\"margin: 0px 0px 18px; padding: 0px; display: flex; align-items: center;\"><input id=\"bsX3jLzGz0ZA.0.5046244627972096.0\" style=\"padding: 0px; font-family: inherit; font-size: inherit; width: 15px; height: 15px; background-color: #05a660;\" disabled=\"disabled\" name=\"bsX3jLzGz0ZA.0.5046244627972096\" type=\"radio\" data-index=\"0\" \/><div style=\"margin: 0px; padding: 0px;\">\u00a0<\/div><label style=\"margin: 0px 0px 0px 16px; padding: 0px; font-size: 16px;\" for=\"bsX3jLzGz0ZA.0.5046244627972096.0\"><label style=\"margin: 0px 0px 0px 16px; padding: 0px; font-size: 16px;\" for=\"bsX3jLzGz0ZA.0.5046244627972096.0\"><span class=\"inline-equation\" style=\"margin: 0px; padding: 0px;\"><span class=\"katex\" style=\"margin: 0px; padding: 0px; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-kerning: auto; font-optical-sizing: auto; font-feature-settings: normal; font-variation-settings: normal; font-stretch: normal; font-size: 1.21em; line-height: 1.2; font-family: KaTeX_Main, 'Times New Roman', serif; text-rendering: auto;\"><span class=\"katex-mathml\" style=\"margin: 0px; padding: 0px; font-family: sans-serif; border: 0px; clip: rect(1px, 1px, 1px, 1px); height: 1px; overflow: hidden; position: absolute; width: 1px;\">15<\/span><span class=\"katex-html\" style=\"margin: 0px; padding: 0px; font-family: sans-serif; border-color: currentcolor;\" aria-hidden=\"true\"><span class=\"base\" style=\"margin: 0px; padding: 0px; border-color: currentcolor; position: relative; text-wrap: nowrap; width: min-content; display: inline-block;\"><span class=\"mord\" style=\"margin: 0px; padding: 0px; border-color: currentcolor;\"><span class=\"mfrac\" style=\"margin: 0px; padding: 0px; border-color: currentcolor;\"><span class=\"vlist-t vlist-t2\" style=\"margin: 0px -2px 0px 0px; padding: 0px; border-color: currentcolor; border-collapse: collapse; display: inline-table; table-layout: fixed;\"><span class=\"vlist-r\" style=\"margin: 0px; padding: 0px; border-color: currentcolor; display: table-row; text-align: center;\"><span class=\"vlist\" style=\"margin: 0px; padding: 0px; border-color: currentcolor; display: table-cell; position: relative; vertical-align: bottom; height: 1.32144em;\"><span class=\"\" style=\"margin: 0px; padding: 0px; border-color: currentcolor; display: block; height: 0px; position: relative; top: -2.314em;\"><span class=\"mord\" style=\"margin: 0px; padding: 0px; border-color: currentcolor; display: inline-block;\"><span class=\"mord\" style=\"margin: 0px; padding: 0px; border-color: currentcolor;\">5<\/span><\/span><\/span><span class=\"\" style=\"margin: 0px; padding: 0px; border-color: currentcolor; display: block; height: 0px; position: relative; top: -3.677em;\"><span class=\"mord\" style=\"margin: 0px; padding: 0px; border-color: currentcolor; display: inline-block;\"><span class=\"mord\" style=\"margin: 0px; padding: 0px; border-color: currentcolor;\">1<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/label><\/label><div style=\"margin: 0px; padding: 0px;\">\u00a0<\/div><\/div><div class=\"gcb-mcq-choice\" style=\"margin: 0px 0px 18px; padding: 0px; display: flex; align-items: center;\"><input id=\"bsX3jLzGz0ZA.0.5046244627972096.1\" style=\"padding: 0px; font-family: inherit; font-size: inherit; width: 15px; height: 15px; background-color: #05a660;\" disabled=\"disabled\" name=\"bsX3jLzGz0ZA.0.5046244627972096\" type=\"radio\" data-index=\"1\" \/><div style=\"margin: 0px; padding: 0px;\">\u00a0<\/div><label style=\"margin: 0px 0px 0px 16px; padding: 0px; font-size: 16px;\" for=\"bsX3jLzGz0ZA.0.5046244627972096.1\"><label style=\"margin: 0px 0px 0px 16px; padding: 0px; font-size: 16px;\" for=\"bsX3jLzGz0ZA.0.5046244627972096.1\"><span class=\"inline-equation\" style=\"margin: 0px; padding: 0px;\"><span class=\"katex\" style=\"margin: 0px; padding: 0px; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-kerning: auto; font-optical-sizing: auto; font-feature-settings: normal; font-variation-settings: normal; font-stretch: normal; font-size: 1.21em; line-height: 1.2; font-family: KaTeX_Main, 'Times New Roman', serif; text-rendering: auto;\"><span class=\"katex-mathml\" style=\"margin: 0px; padding: 0px; font-family: sans-serif; border: 0px; clip: rect(1px, 1px, 1px, 1px); height: 1px; overflow: hidden; position: absolute; width: 1px;\">\u2074\ufffd\u2083\u00d7\u00b9\u00b9\ufffd\u2087\u00b9\u2075\ufffd\u2081\u2080<\/span><span class=\"katex-html\" style=\"margin: 0px; padding: 0px; font-family: sans-serif; border-color: currentcolor;\" aria-hidden=\"true\"><span class=\"base\" style=\"margin: 0px; padding: 0px; border-color: currentcolor; position: relative; text-wrap: nowrap; width: min-content; display: inline-block;\"><span class=\"mord\" style=\"margin: 0px; padding: 0px; border-color: currentcolor;\"><span class=\"mfrac\" style=\"margin: 0px; padding: 0px; border-color: currentcolor;\"><span class=\"vlist-t vlist-t2\" style=\"margin: 0px -2px 0px 0px; padding: 0px; border-color: currentcolor; border-collapse: collapse; display: inline-table; table-layout: fixed;\"><span class=\"vlist-r\" style=\"margin: 0px; padding: 0px; border-color: currentcolor; display: table-row; text-align: center;\"><span class=\"vlist\" style=\"margin: 0px; padding: 0px; border-color: currentcolor; display: table-cell; position: relative; vertical-align: bottom; height: 1.36033em;\"><span class=\"\" style=\"margin: 0px; padding: 0px; border-color: currentcolor; display: block; height: 0px; position: relative; top: -2.314em;\"><span class=\"mord\" style=\"margin: 0px; padding: 0px; border-color: currentcolor; display: inline-block;\"><span class=\"mord\" style=\"margin: 0px; padding: 0px; border-color: currentcolor;\">\u00b9\u2075<\/span><span class=\"mord mathnormal\" style=\"margin: 0px 0.07153em 0px 0px; padding: 0px; font-family: KaTeX_Math; border-color: currentcolor; font-style: italic;\">C<\/span><span class=\"mord\" style=\"margin: 0px; padding: 0px; border-color: currentcolor;\">\u2081\u2080<\/span><\/span><\/span><span class=\"\" style=\"margin: 0px; padding: 0px; border-color: currentcolor; display: block; height: 0px; position: relative; top: -3.677em;\"><span class=\"mord\" style=\"margin: 0px; padding: 0px; border-color: currentcolor; display: inline-block;\"><span class=\"mord\" style=\"margin: 0px; padding: 0px; border-color: currentcolor;\">\u2074<\/span><span class=\"mord mathnormal\" style=\"margin: 0px 0.07153em 0px 0px; padding: 0px; font-family: KaTeX_Math; border-color: currentcolor; font-style: italic;\">C<\/span><span class=\"mord\" style=\"margin: 0px; padding: 0px; border-color: currentcolor;\">\u2083<\/span><span class=\"mbin\" style=\"margin: 0px; padding: 0px; border-color: currentcolor;\">\u00d7<\/span><span class=\"mord\" style=\"margin: 0px; padding: 0px; border-color: currentcolor;\">\u00b9\u00b9<\/span><span class=\"mord mathnormal\" style=\"margin: 0px 0.07153em 0px 0px; padding: 0px; font-family: KaTeX_Math; border-color: currentcolor; font-style: italic;\">C<\/span><span class=\"mord\" style=\"margin: 0px; padding: 0px; border-color: currentcolor;\">\u2087<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/label><\/label><div style=\"margin: 0px; padding: 0px;\">\u00a0<\/div><\/div><div class=\"gcb-mcq-choice\" style=\"margin: 0px 0px 18px; padding: 0px; display: flex; align-items: center;\"><input id=\"bsX3jLzGz0ZA.0.5046244627972096.2\" style=\"padding: 0px; font-family: inherit; font-size: inherit; width: 15px; height: 15px; background-color: #05a660;\" disabled=\"disabled\" name=\"bsX3jLzGz0ZA.0.5046244627972096\" type=\"radio\" data-index=\"2\" \/><div style=\"margin: 0px; padding: 0px;\">\u00a0<\/div><label style=\"margin: 0px 0px 0px 16px; padding: 0px; font-size: 16px;\" for=\"bsX3jLzGz0ZA.0.5046244627972096.2\"><label style=\"margin: 0px 0px 0px 16px; padding: 0px; font-size: 16px;\" for=\"bsX3jLzGz0ZA.0.5046244627972096.2\"><span class=\"inline-equation\" style=\"margin: 0px; padding: 0px;\"><span class=\"katex\" style=\"margin: 0px; padding: 0px; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-kerning: auto; font-optical-sizing: auto; font-feature-settings: normal; font-variation-settings: normal; font-stretch: normal; font-size: 1.21em; line-height: 1.2; font-family: KaTeX_Main, 'Times New Roman', serif; text-rendering: auto;\"><span class=\"katex-mathml\" style=\"margin: 0px; padding: 0px; font-family: sans-serif; border: 0px; clip: rect(1px, 1px, 1px, 1px); height: 1px; overflow: hidden; position: absolute; width: 1px;\">\u00b9\u00b9\ufffd\u2087\u00b9\u2075\ufffd\u2081\u2080<\/span><span class=\"katex-html\" style=\"margin: 0px; padding: 0px; font-family: sans-serif; border-color: currentcolor;\" aria-hidden=\"true\"><span class=\"base\" style=\"margin: 0px; padding: 0px; border-color: currentcolor; position: relative; text-wrap: nowrap; width: min-content; display: inline-block;\"><span class=\"mord\" style=\"margin: 0px; padding: 0px; border-color: currentcolor;\"><span class=\"mfrac\" style=\"margin: 0px; padding: 0px; border-color: currentcolor;\"><span class=\"vlist-t vlist-t2\" style=\"margin: 0px -2px 0px 0px; padding: 0px; border-color: currentcolor; border-collapse: collapse; display: inline-table; table-layout: fixed;\"><span class=\"vlist-r\" style=\"margin: 0px; padding: 0px; border-color: currentcolor; display: table-row; text-align: center;\"><span class=\"vlist\" style=\"margin: 0px; padding: 0px; border-color: currentcolor; display: table-cell; position: relative; vertical-align: bottom; height: 1.36033em;\"><span class=\"\" style=\"margin: 0px; padding: 0px; border-color: currentcolor; display: block; height: 0px; position: relative; top: -2.314em;\"><span class=\"mord\" style=\"margin: 0px; padding: 0px; border-color: currentcolor; display: inline-block;\"><span class=\"mord\" style=\"margin: 0px; padding: 0px; border-color: currentcolor;\">\u00b9\u2075<\/span><span class=\"mord mathnormal\" style=\"margin: 0px 0.07153em 0px 0px; padding: 0px; font-family: KaTeX_Math; border-color: currentcolor; font-style: italic;\">C<\/span><span class=\"mord\" style=\"margin: 0px; padding: 0px; border-color: currentcolor;\">\u2081\u2080<\/span><\/span><\/span><span class=\"\" style=\"margin: 0px; padding: 0px; border-color: currentcolor; display: block; height: 0px; position: relative; top: -3.677em;\"><span class=\"mord\" style=\"margin: 0px; padding: 0px; border-color: currentcolor; display: inline-block;\"><span class=\"mord\" style=\"margin: 0px; padding: 0px; border-color: currentcolor;\">\u00b9\u00b9<\/span><span class=\"mord mathnormal\" style=\"margin: 0px 0.07153em 0px 0px; padding: 0px; font-family: KaTeX_Math; border-color: currentcolor; font-style: italic;\">C<\/span><span class=\"mord\" style=\"margin: 0px; padding: 0px; border-color: currentcolor;\">\u2087<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/label><\/label><div style=\"margin: 0px; padding: 0px;\">\u00a0<\/div><\/div><div class=\"gcb-mcq-choice\" style=\"margin: 0px 0px 18px; padding: 0px; display: flex; align-items: center;\"><input id=\"bsX3jLzGz0ZA.0.5046244627972096.3\" style=\"padding: 0px; font-family: inherit; font-size: inherit; width: 15px; height: 15px; background-color: #05a660;\" disabled=\"disabled\" name=\"bsX3jLzGz0ZA.0.5046244627972096\" type=\"radio\" data-index=\"3\" \/><div style=\"margin: 0px; padding: 0px;\">\u00a0<\/div><label style=\"margin: 0px 0px 0px 16px; padding: 0px; font-size: 16px;\" for=\"bsX3jLzGz0ZA.0.5046244627972096.3\"><label style=\"margin: 0px 0px 0px 16px; padding: 0px; font-size: 16px;\" for=\"bsX3jLzGz0ZA.0.5046244627972096.3\"><span class=\"inline-equation\" style=\"margin: 0px; padding: 0px;\"><span class=\"katex\" style=\"margin: 0px; padding: 0px; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-kerning: auto; font-optical-sizing: auto; font-feature-settings: normal; font-variation-settings: normal; font-stretch: normal; font-size: 1.21em; line-height: 1.2; font-family: KaTeX_Main, 'Times New Roman', serif; text-rendering: auto;\"><span class=\"katex-mathml\" style=\"margin: 0px; padding: 0px; font-family: sans-serif; border: 0px; clip: rect(1px, 1px, 1px, 1px); height: 1px; overflow: hidden; position: absolute; width: 1px;\">\u2074\ufffd\u2083\u00d7\u00b9\u00b9\ufffd\u2087\u00b9\u2075\ufffd\u2081\u2080\u00d715<\/span><span class=\"katex-html\" style=\"margin: 0px; padding: 0px; font-family: sans-serif; border-color: currentcolor;\" aria-hidden=\"true\"><span class=\"base\" style=\"margin: 0px; padding: 0px; border-color: currentcolor; position: relative; text-wrap: nowrap; width: min-content; display: inline-block;\"><span class=\"mord\" style=\"margin: 0px; padding: 0px; border-color: currentcolor;\"><span class=\"mfrac\" style=\"margin: 0px; padding: 0px; border-color: currentcolor;\"><span class=\"vlist-t vlist-t2\" style=\"margin: 0px -2px 0px 0px; padding: 0px; border-color: currentcolor; border-collapse: collapse; display: inline-table; table-layout: fixed;\"><span class=\"vlist-r\" style=\"margin: 0px; padding: 0px; border-color: currentcolor; display: table-row; text-align: center;\"><span class=\"vlist\" style=\"margin: 0px; padding: 0px; border-color: currentcolor; display: table-cell; position: relative; vertical-align: bottom; height: 1.36033em;\"><span class=\"\" style=\"margin: 0px; padding: 0px; border-color: currentcolor; display: block; height: 0px; position: relative; top: -2.314em;\"><span class=\"mord\" style=\"margin: 0px; padding: 0px; border-color: currentcolor; display: inline-block;\"><span class=\"mord\" style=\"margin: 0px; padding: 0px; border-color: currentcolor;\">\u00b9\u2075<\/span><span class=\"mord mathnormal\" style=\"margin: 0px 0.07153em 0px 0px; padding: 0px; font-family: KaTeX_Math; border-color: currentcolor; font-style: italic;\">C<\/span><span class=\"mord\" style=\"margin: 0px; padding: 0px; border-color: currentcolor;\">\u2081\u2080<\/span><\/span><\/span><span class=\"\" style=\"margin: 0px; padding: 0px; border-color: currentcolor; display: block; height: 0px; position: relative; top: -3.677em;\"><span class=\"mord\" style=\"margin: 0px; padding: 0px; border-color: currentcolor; display: inline-block;\"><span class=\"mord\" style=\"margin: 0px; padding: 0px; border-color: currentcolor;\">\u2074<\/span><span class=\"mord mathnormal\" style=\"margin: 0px 0.07153em 0px 0px; padding: 0px; font-family: KaTeX_Math; border-color: currentcolor; font-style: italic;\">C<\/span><span class=\"mord\" style=\"margin: 0px; padding: 0px; border-color: currentcolor;\">\u2083<\/span><span class=\"mbin\" style=\"margin: 0px; padding: 0px; border-color: currentcolor;\">\u00d7<\/span><span class=\"mord\" style=\"margin: 0px; padding: 0px; border-color: currentcolor;\">\u00b9\u00b9<\/span><span class=\"mord mathnormal\" style=\"margin: 0px 0.07153em 0px 0px; padding: 0px; font-family: KaTeX_Math; border-color: currentcolor; font-style: italic;\">C<\/span><span class=\"mord\" style=\"margin: 0px; padding: 0px; border-color: currentcolor;\">\u2087<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mbin\" style=\"margin: 0px; padding: 0px; border-color: currentcolor;\">\u00d7<\/span><\/span><span class=\"base\" style=\"margin: 0px; padding: 0px; border-color: currentcolor; position: relative; text-wrap: nowrap; width: min-content; display: inline-block;\"><span class=\"mord\" style=\"margin: 0px; padding: 0px; border-color: currentcolor;\"><span class=\"mfrac\" style=\"margin: 0px; padding: 0px; border-color: currentcolor;\"><span class=\"vlist-t vlist-t2\" style=\"margin: 0px -2px 0px 0px; padding: 0px; border-color: currentcolor; border-collapse: collapse; display: inline-table; table-layout: fixed;\"><span class=\"vlist-r\" style=\"margin: 0px; padding: 0px; border-color: currentcolor; display: table-row; text-align: center;\"><span class=\"vlist\" style=\"margin: 0px; padding: 0px; border-color: currentcolor; display: table-cell; position: relative; vertical-align: bottom; height: 1.32144em;\"><span class=\"\" style=\"margin: 0px; padding: 0px; border-color: currentcolor; display: block; height: 0px; position: relative; top: -2.314em;\"><span class=\"mord\" style=\"margin: 0px; padding: 0px; border-color: currentcolor; display: inline-block;\"><span class=\"mord\" style=\"margin: 0px; padding: 0px; border-color: currentcolor;\">5<\/span><\/span><\/span><span class=\"\" style=\"margin: 0px; padding: 0px; border-color: currentcolor; display: block; height: 0px; position: relative; top: -3.677em;\"><span class=\"mord\" style=\"margin: 0px; padding: 0px; border-color: currentcolor; display: inline-block;\"><span class=\"mord\" style=\"margin: 0px; padding: 0px; border-color: currentcolor;\">1<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/label><\/label><div style=\"margin: 0px; padding: 0px;\">\u00a0<\/div><\/div><\/div><div class=\"qt-feedback\" style=\"margin: 0px; padding: 0px;\" role=\"alert\"><div style=\"margin: 0px; padding: 0px;\"><h3 class=\"feedback-header\" style=\"margin-bottom: 16px; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-kerning: auto; font-optical-sizing: auto; font-feature-settings: normal; font-variation-settings: normal; font-weight: 400; font-stretch: normal; font-size: 16px; line-height: 28px; font-family: Roboto, 'Helvetica Neue', sans-serif; letter-spacing: normal;\"><span class=\"incorrect\" style=\"margin: 1rem 0px; padding: 0px; font-family: sans-serif; color: #ff3b3b;\">No, the answer is incorrect.<\/span><br style=\"margin: 1rem 0px; padding: 0px; font-family: sans-serif;\" \/><span class=\"incorrect\" style=\"margin: 1rem 0px; padding: 0px; font-family: sans-serif; color: #ff3b3b;\">Score: 0<\/span><\/h3><h3 class=\"feedback-header faculty-answer\" style=\"margin-bottom: 16px; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-kerning: auto; font-optical-sizing: auto; font-feature-settings: normal; font-variation-settings: normal; font-weight: 400; font-stretch: normal; font-size: 16px; line-height: 28px; font-family: Roboto, 'Helvetica Neue', sans-serif; color: #05a660; letter-spacing: normal;\">Accepted Answers:<\/h3><div class=\"faculty-answer\" style=\"margin: 0px; padding: 0px; color: #05a660;\"><div style=\"margin: 0px; padding: 0px;\"><div style=\"margin: 0px; padding: 0px;\"><div style=\"margin: 0px; padding: 0px;\">\u00a0<\/div><label style=\"margin: 0px; padding: 0px;\" for=\"bsX3jLzGz0ZA.0.5046244627972096.3\"><label style=\"margin: 0px; padding: 0px;\" for=\"bsX3jLzGz0ZA.0.5046244627972096.3\"><span class=\"inline-equation\" style=\"margin: 0px; padding: 0px;\"><span class=\"katex\" style=\"margin: 0px; padding: 0px; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-kerning: auto; font-optical-sizing: auto; font-feature-settings: normal; font-variation-settings: normal; font-stretch: normal; font-size: 1.21em; line-height: 1.2; font-family: KaTeX_Main, 'Times New Roman', serif; text-rendering: auto;\"><span class=\"katex-mathml\" style=\"margin: 0px; padding: 0px; font-family: sans-serif; border: 0px; clip: rect(1px, 1px, 1px, 1px); height: 1px; overflow: hidden; position: absolute; width: 1px;\">\u2074\ufffd\u2083\u00d7\u00b9\u00b9\ufffd\u2087\u00b9\u2075\ufffd\u2081\u2080\u00d715<\/span><span class=\"katex-html\" style=\"margin: 0px; padding: 0px; font-family: sans-serif; border-color: currentcolor;\" aria-hidden=\"true\"><span class=\"base\" style=\"margin: 0px; padding: 0px; border-color: currentcolor; position: relative; text-wrap: nowrap; width: min-content; display: inline-block;\"><span class=\"mord\" style=\"margin: 0px; padding: 0px; border-color: currentcolor;\"><span class=\"mfrac\" style=\"margin: 0px; padding: 0px; border-color: currentcolor;\"><span class=\"vlist-t vlist-t2\" style=\"margin: 0px -2px 0px 0px; padding: 0px; border-color: currentcolor; border-collapse: collapse; display: inline-table; table-layout: fixed;\"><span class=\"vlist-r\" style=\"margin: 0px; padding: 0px; border-color: currentcolor; display: table-row; text-align: center;\"><span class=\"vlist\" style=\"margin: 0px; padding: 0px; border-color: currentcolor; display: table-cell; position: relative; vertical-align: bottom; height: 1.36033em;\"><span class=\"\" style=\"margin: 0px; padding: 0px; border-color: currentcolor; display: block; height: 0px; position: relative; top: -2.314em;\"><span class=\"mord\" style=\"margin: 0px; padding: 0px; border-color: currentcolor; display: inline-block;\"><span class=\"mord\" style=\"margin: 0px; padding: 0px; border-color: currentcolor;\">\u00b9\u2075<\/span><span class=\"mord mathnormal\" style=\"margin: 0px 0.07153em 0px 0px; padding: 0px; font-family: KaTeX_Math; border-color: currentcolor; font-style: italic;\">C<\/span><span class=\"mord\" style=\"margin: 0px; padding: 0px; border-color: currentcolor;\">\u2081\u2080<\/span><\/span><\/span><span class=\"\" style=\"margin: 0px; padding: 0px; border-color: currentcolor; display: block; height: 0px; position: relative; top: -3.677em;\"><span class=\"mord\" style=\"margin: 0px; padding: 0px; border-color: currentcolor; display: inline-block;\"><span class=\"mord\" style=\"margin: 0px; padding: 0px; border-color: currentcolor;\">\u2074<\/span><span class=\"mord mathnormal\" style=\"margin: 0px 0.07153em 0px 0px; padding: 0px; font-family: KaTeX_Math; border-color: currentcolor; font-style: italic;\">C<\/span><span class=\"mord\" style=\"margin: 0px; padding: 0px; border-color: currentcolor;\">\u2083<\/span><span class=\"mbin\" style=\"margin: 0px; padding: 0px; border-color: currentcolor;\">\u00d7<\/span><span class=\"mord\" style=\"margin: 0px; padding: 0px; border-color: currentcolor;\">\u00b9\u00b9<\/span><span class=\"mord mathnormal\" style=\"margin: 0px 0.07153em 0px 0px; padding: 0px; font-family: KaTeX_Math; border-color: currentcolor; font-style: italic;\">C<\/span><span class=\"mord\" style=\"margin: 0px; padding: 0px; border-color: currentcolor;\">\u2087<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mbin\" style=\"margin: 0px; padding: 0px; border-color: currentcolor;\">\u00d7<\/span><\/span><span class=\"base\" style=\"margin: 0px; padding: 0px; border-color: currentcolor; position: relative; text-wrap: nowrap; width: min-content; display: inline-block;\"><span class=\"mord\" style=\"margin: 0px; padding: 0px; border-color: currentcolor;\"><span class=\"mfrac\" style=\"margin: 0px; padding: 0px; border-color: currentcolor;\"><span class=\"vlist-t vlist-t2\" style=\"margin: 0px -2px 0px 0px; padding: 0px; border-color: currentcolor; border-collapse: collapse; display: inline-table; table-layout: fixed;\"><span class=\"vlist-r\" style=\"margin: 0px; padding: 0px; border-color: currentcolor; display: table-row; text-align: center;\"><span class=\"vlist\" style=\"margin: 0px; padding: 0px; border-color: currentcolor; display: table-cell; position: relative; vertical-align: bottom; height: 1.32144em;\"><span class=\"\" style=\"margin: 0px; padding: 0px; border-color: currentcolor; display: block; height: 0px; position: relative; top: -2.314em;\"><span class=\"mord\" style=\"margin: 0px; padding: 0px; border-color: currentcolor; display: inline-block;\"><span class=\"mord\" style=\"margin: 0px; padding: 0px; border-color: currentcolor;\">5<\/span><\/span><\/span><span class=\"\" style=\"margin: 0px; padding: 0px; border-color: currentcolor; display: block; height: 0px; position: relative; top: -3.677em;\"><span class=\"mord\" style=\"margin: 0px; padding: 0px; border-color: currentcolor; display: inline-block;\"><span class=\"mord\" style=\"margin: 0px; padding: 0px; border-color: currentcolor;\">1<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/label><\/label><div style=\"margin: 0px; padding: 0px;\">\u00a0<\/div><\/div><\/div><\/div><\/div><\/div><\/div><\/div><div class=\"qt-feedback qt-hidden\" style=\"margin: 0px; padding: 0px;\" role=\"alert\">\u00a0<\/div><\/div><\/div><p>\u00a0<\/p><div style=\"margin: 0px; padding: 0px; font-family: sans-serif; color: rgba(0, 0, 0, 0.87); font-size: 14px; background-color: #fafafc;\"><div id=\"H0CoudfSdr5M\" class=\"qt-question-group\" style=\"margin: 0px; padding: 0px;\"><div class=\"qt-introduction\" style=\"margin: 0px 0px 8px; padding: 0px; font-size: 1.6rem;\">\u00a0<\/div><div class=\"gcb-cols gcb-question-counter-increment gcb-question-row\" style=\"margin: 0px 0px 16px; padding: 2rem; counter-increment: question-number 1; background-color: #ffffff; box-shadow: #e1e1e1 1px 1px 1px;\"><div class=\"gcb-col-counters gcb-show-question-counter\" style=\"margin: 0px; padding: 0px 5px 0px 0px; float: left;\">\u00a0<\/div><div id=\"H0CoudfSdr5M.0.5268095601999872\" class=\"qt-mc-question qt-embedded\" style=\"margin: 0px; padding: 0px;\"><div class=\"qt-points\" style=\"margin: 0px; padding: 0px; float: right; font-weight: bold; text-align: right;\"><em style=\"margin: 0px; padding: 0px;\">1 point<\/em><\/div><div class=\"qt-question\" style=\"margin: 0px; padding: 0px;\"><div style=\"margin: 0px; padding: 0px;\">\u00a0<\/div>2. A and B predicts the outcomes of a cricket match and their chances of predicting the runs scored by a specific batsman correctly are\u00a0<span class=\"inline-equation\" style=\"margin: 0px; padding: 0px;\"><span class=\"katex\" style=\"margin: 0px; padding: 0px; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-kerning: auto; font-optical-sizing: auto; font-feature-settings: normal; font-variation-settings: normal; font-stretch: normal; font-size: 1.21em; line-height: 1.2; font-family: KaTeX_Main, 'Times New Roman', serif; text-rendering: auto;\"><span class=\"katex-mathml\" style=\"margin: 0px; padding: 0px; font-family: sans-serif; border: 0px; clip: rect(1px, 1px, 1px, 1px); height: 1px; overflow: hidden; position: absolute; width: 1px;\">23<\/span><span class=\"katex-html\" style=\"margin: 0px; padding: 0px; font-family: sans-serif; border-color: currentcolor;\" aria-hidden=\"true\"><span class=\"base\" style=\"margin: 0px; padding: 0px; border-color: currentcolor; position: relative; text-wrap: nowrap; width: min-content; display: inline-block;\"><span class=\"mord\" style=\"margin: 0px; padding: 0px; border-color: currentcolor;\"><span class=\"mfrac\" style=\"margin: 0px; padding: 0px; border-color: currentcolor;\"><span class=\"vlist-t vlist-t2\" style=\"margin: 0px -2px 0px 0px; padding: 0px; border-color: currentcolor; border-collapse: collapse; display: inline-table; table-layout: fixed;\"><span class=\"vlist-r\" style=\"margin: 0px; padding: 0px; border-color: currentcolor; display: table-row; text-align: center;\"><span class=\"vlist\" style=\"margin: 0px; padding: 0px; border-color: currentcolor; display: table-cell; position: relative; vertical-align: bottom; height: 1.32144em;\"><span class=\"\" style=\"margin: 0px; padding: 0px; border-color: currentcolor; display: block; height: 0px; position: relative; top: -2.314em;\"><span class=\"mord\" style=\"margin: 0px; padding: 0px; border-color: currentcolor; display: inline-block;\"><span class=\"mord\" style=\"margin: 0px; padding: 0px; border-color: currentcolor;\">3<\/span><\/span><\/span><span class=\"\" style=\"margin: 0px; padding: 0px; border-color: currentcolor; display: block; height: 0px; position: relative; top: -3.677em;\"><span class=\"mord\" style=\"margin: 0px; padding: 0px; border-color: currentcolor; display: inline-block;\"><span class=\"mord\" style=\"margin: 0px; padding: 0px; border-color: currentcolor;\">2<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>\u00a0and\u00a0<span class=\"inline-equation\" style=\"margin: 0px; padding: 0px;\"><span class=\"katex\" style=\"margin: 0px; padding: 0px; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-kerning: auto; font-optical-sizing: auto; font-feature-settings: normal; font-variation-settings: normal; font-stretch: normal; font-size: 1.21em; line-height: 1.2; font-family: KaTeX_Main, 'Times New Roman', serif; text-rendering: auto;\"><span class=\"katex-mathml\" style=\"margin: 0px; padding: 0px; font-family: sans-serif; border: 0px; clip: rect(1px, 1px, 1px, 1px); height: 1px; overflow: hidden; position: absolute; width: 1px;\">25<\/span><span class=\"katex-html\" style=\"margin: 0px; padding: 0px; font-family: sans-serif; border-color: currentcolor;\" aria-hidden=\"true\"><span class=\"base\" style=\"margin: 0px; padding: 0px; border-color: currentcolor; position: relative; text-wrap: nowrap; width: min-content; display: inline-block;\"><span class=\"mord\" style=\"margin: 0px; padding: 0px; border-color: currentcolor;\"><span class=\"mfrac\" style=\"margin: 0px; padding: 0px; border-color: currentcolor;\"><span class=\"vlist-t vlist-t2\" style=\"margin: 0px -2px 0px 0px; padding: 0px; border-color: currentcolor; border-collapse: collapse; display: inline-table; table-layout: fixed;\"><span class=\"vlist-r\" style=\"margin: 0px; padding: 0px; border-color: currentcolor; display: table-row; text-align: center;\"><span class=\"vlist\" style=\"margin: 0px; padding: 0px; border-color: currentcolor; display: table-cell; position: relative; vertical-align: bottom; height: 1.32144em;\"><span class=\"\" style=\"margin: 0px; padding: 0px; border-color: currentcolor; display: block; height: 0px; position: relative; top: -2.314em;\"><span class=\"mord\" style=\"margin: 0px; padding: 0px; border-color: currentcolor; display: inline-block;\"><span class=\"mord\" style=\"margin: 0px; padding: 0px; border-color: currentcolor;\">5<\/span><\/span><\/span><span class=\"\" style=\"margin: 0px; padding: 0px; border-color: currentcolor; display: block; height: 0px; position: relative; top: -3.677em;\"><span class=\"mord\" style=\"margin: 0px; padding: 0px; border-color: currentcolor; display: inline-block;\"><span class=\"mord\" style=\"margin: 0px; padding: 0px; border-color: currentcolor;\">2<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>\u00a0respectively independent of each other. If the probability of them predicting the same wrong score is\u00a0<span class=\"inline-equation\" style=\"margin: 0px; padding: 0px;\"><span class=\"katex\" style=\"margin: 0px; padding: 0px; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-kerning: auto; font-optical-sizing: auto; font-feature-settings: normal; font-variation-settings: normal; font-stretch: normal; font-size: 1.21em; line-height: 1.2; font-family: KaTeX_Main, 'Times New Roman', serif; text-rendering: auto;\"><span class=\"katex-mathml\" style=\"margin: 0px; padding: 0px; font-family: sans-serif; border: 0px; clip: rect(1px, 1px, 1px, 1px); height: 1px; overflow: hidden; position: absolute; width: 1px;\">6207<\/span><span class=\"katex-html\" style=\"margin: 0px; padding: 0px; font-family: sans-serif; border-color: currentcolor;\" aria-hidden=\"true\"><span class=\"base\" style=\"margin: 0px; padding: 0px; border-color: currentcolor; position: relative; text-wrap: nowrap; width: min-content; display: inline-block;\"><span class=\"mord\" style=\"margin: 0px; padding: 0px; border-color: currentcolor;\"><span class=\"mfrac\" style=\"margin: 0px; padding: 0px; border-color: currentcolor;\"><span class=\"vlist-t vlist-t2\" style=\"margin: 0px -2px 0px 0px; padding: 0px; border-color: currentcolor; border-collapse: collapse; display: inline-table; table-layout: fixed;\"><span class=\"vlist-r\" style=\"margin: 0px; padding: 0px; border-color: currentcolor; display: table-row; text-align: center;\"><span class=\"vlist\" style=\"margin: 0px; padding: 0px; border-color: currentcolor; display: table-cell; position: relative; vertical-align: bottom; height: 1.32144em;\"><span class=\"\" style=\"margin: 0px; padding: 0px; border-color: currentcolor; display: block; height: 0px; position: relative; top: -2.314em;\"><span class=\"mord\" style=\"margin: 0px; padding: 0px; border-color: currentcolor; display: inline-block;\"><span class=\"mord\" style=\"margin: 0px; padding: 0px; border-color: currentcolor;\">207<\/span><\/span><\/span><span class=\"\" style=\"margin: 0px; padding: 0px; border-color: currentcolor; display: block; height: 0px; position: relative; top: -3.677em;\"><span class=\"mord\" style=\"margin: 0px; padding: 0px; border-color: currentcolor; display: inline-block;\"><span class=\"mord\" style=\"margin: 0px; padding: 0px; border-color: currentcolor;\">6<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>. Given that they predicted the same score, find the probability that their answer is correct.<div style=\"margin: 0px; padding: 0px;\">\u00a0<\/div><\/div><\/div><\/div><div>\u00a0<\/div><div class=\"gcb-cols gcb-question-counter-increment gcb-question-row\" style=\"margin: 0px 0px 16px; padding: 2rem; counter-increment: question-number 1; background-color: #ffffff; box-shadow: #e1e1e1 1px 1px 1px;\"><div id=\"H0CoudfSdr5M.0.5268095601999872\" class=\"qt-mc-question qt-embedded\" style=\"margin: 0px; padding: 0px;\"><div class=\"qt-feedback\" style=\"margin: 0px; padding: 0px;\" role=\"alert\"><div style=\"margin: 0px; padding: 0px;\"><h3 class=\"feedback-header\" style=\"margin-bottom: 16px; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-kerning: auto; font-optical-sizing: auto; font-feature-settings: normal; font-variation-settings: normal; font-weight: 400; font-stretch: normal; font-size: 16px; line-height: 28px; font-family: Roboto, 'Helvetica Neue', sans-serif; letter-spacing: normal;\">\u00a0<\/h3><h3 class=\"feedback-header faculty-answer\" style=\"margin-bottom: 16px; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-kerning: auto; font-optical-sizing: auto; font-feature-settings: normal; font-variation-settings: normal; font-weight: 400; font-stretch: normal; font-size: 16px; line-height: 28px; font-family: Roboto, 'Helvetica Neue', sans-serif; color: #05a660; letter-spacing: normal;\">Accepted Answers:<\/h3><div class=\"faculty-answer\" style=\"margin: 0px; padding: 0px; color: #05a660;\"><div style=\"margin: 0px; padding: 0px;\"><div style=\"margin: 0px; padding: 0px;\"><div style=\"margin: 0px; padding: 0px;\">\u00a0<\/div><label style=\"margin: 0px; padding: 0px;\" for=\"H0CoudfSdr5M.0.5268095601999872.1\"><label style=\"margin: 0px; padding: 0px;\" for=\"H0CoudfSdr5M.0.5268095601999872.1\"><span class=\"inline-equation\" style=\"margin: 0px; padding: 0px;\"><span class=\"katex\" style=\"margin: 0px; padding: 0px; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-kerning: auto; font-optical-sizing: auto; font-feature-settings: normal; font-variation-settings: normal; font-stretch: normal; font-size: 1.21em; line-height: 1.2; font-family: KaTeX_Main, 'Times New Roman', serif; text-rendering: auto;\"><span class=\"katex-mathml\" style=\"margin: 0px; padding: 0px; font-family: sans-serif; border: 0px; clip: rect(1px, 1px, 1px, 1px); height: 1px; overflow: hidden; position: absolute; width: 1px;\">828846<\/span><span class=\"katex-html\" style=\"margin: 0px; padding: 0px; font-family: sans-serif; border-color: currentcolor;\" aria-hidden=\"true\"><span class=\"base\" style=\"margin: 0px; padding: 0px; border-color: currentcolor; position: relative; text-wrap: nowrap; width: min-content; display: inline-block;\"><span class=\"mord\" style=\"margin: 0px; padding: 0px; border-color: currentcolor;\"><span class=\"mfrac\" style=\"margin: 0px; padding: 0px; border-color: currentcolor;\"><span class=\"vlist-t vlist-t2\" style=\"margin: 0px -2px 0px 0px; padding: 0px; border-color: currentcolor; border-collapse: collapse; display: inline-table; table-layout: fixed;\"><span class=\"vlist-r\" style=\"margin: 0px; padding: 0px; border-color: currentcolor; display: table-row; text-align: center;\"><span class=\"vlist\" style=\"margin: 0px; padding: 0px; border-color: currentcolor; display: table-cell; position: relative; vertical-align: bottom; height: 1.32144em;\"><span class=\"\" style=\"margin: 0px; padding: 0px; border-color: currentcolor; display: block; height: 0px; position: relative; top: -2.314em;\"><span class=\"mord\" style=\"margin: 0px; padding: 0px; border-color: currentcolor; display: inline-block;\"><span class=\"mord\" style=\"margin: 0px; padding: 0px; border-color: currentcolor;\">846<\/span><\/span><\/span><span class=\"\" style=\"margin: 0px; padding: 0px; border-color: currentcolor; display: block; height: 0px; position: relative; top: -3.677em;\"><span class=\"mord\" style=\"margin: 0px; padding: 0px; border-color: currentcolor; display: inline-block;\"><span class=\"mord\" style=\"margin: 0px; padding: 0px; border-color: currentcolor;\">828<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/label><\/label><div style=\"margin: 0px; padding: 0px;\">\u00a0<\/div><\/div><\/div><\/div><\/div><\/div><\/div><\/div><div class=\"qt-feedback qt-hidden\" style=\"margin: 0px; padding: 0px;\" role=\"alert\">\u00a0<\/div><\/div><\/div><p>\u00a0<\/p><div style=\"margin: 0px; padding: 0px; font-family: sans-serif; color: rgba(0, 0, 0, 0.87); font-size: 14px; background-color: #fafafc;\"><div id=\"AVvLQp8AWIGk\" class=\"qt-question-group\" style=\"margin: 0px; padding: 0px;\"><div class=\"qt-introduction\" style=\"margin: 0px 0px 8px; padding: 0px; font-size: 1.6rem;\">\u00a0<\/div><div class=\"gcb-cols gcb-question-counter-increment gcb-question-row\" style=\"margin: 0px 0px 16px; padding: 2rem; counter-increment: question-number 1; background-color: #ffffff; box-shadow: #e1e1e1 1px 1px 1px;\"><div class=\"gcb-col-counters gcb-show-question-counter\" style=\"margin: 0px; padding: 0px 5px 0px 0px; float: left;\">\u00a0<\/div><div id=\"AVvLQp8AWIGk.0.5110624476463104\" class=\"qt-sa-question qt-embedded\" style=\"margin: 0px; padding: 0px;\"><div style=\"margin: 0px; padding: 0px;\">\u00a0<\/div><h4 class=\"qt-question\" style=\"margin: 0px; padding: 0px;\">3. An item is produced in three factories\u00a0<span class=\"inline-equation\" style=\"margin: 0px; padding: 0px;\"><span class=\"katex\" style=\"margin: 0px; padding: 0px; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-kerning: auto; font-optical-sizing: auto; font-feature-settings: normal; font-variation-settings: normal; font-stretch: normal; font-size: 1.21em; line-height: 1.2; font-family: KaTeX_Main, 'Times New Roman', serif; text-rendering: auto;\"><span class=\"katex-mathml\" style=\"margin: 0px; padding: 0px; font-family: sans-serif; border: 0px; clip: rect(1px, 1px, 1px, 1px); height: 1px; overflow: hidden; position: absolute; width: 1px;\">\ufffd<\/span><span class=\"katex-html\" style=\"margin: 0px; padding: 0px; font-family: sans-serif; border-color: currentcolor;\" aria-hidden=\"true\"><span class=\"base\" style=\"margin: 0px; padding: 0px; border-color: currentcolor; position: relative; text-wrap: nowrap; width: min-content; display: inline-block;\"><span class=\"mord mathnormal\" style=\"margin: 0px; padding: 0px; font-family: KaTeX_Math; border-color: currentcolor; font-style: italic;\">A<\/span><\/span><\/span><\/span><\/span>,\u00a0<span class=\"inline-equation\" style=\"margin: 0px; padding: 0px;\"><span class=\"katex\" style=\"margin: 0px; padding: 0px; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-kerning: auto; font-optical-sizing: auto; font-feature-settings: normal; font-variation-settings: normal; font-stretch: normal; font-size: 1.21em; line-height: 1.2; font-family: KaTeX_Main, 'Times New Roman', serif; text-rendering: auto;\"><span class=\"katex-mathml\" style=\"margin: 0px; padding: 0px; font-family: sans-serif; border: 0px; clip: rect(1px, 1px, 1px, 1px); height: 1px; overflow: hidden; position: absolute; width: 1px;\">\ufffd<\/span><span class=\"katex-html\" style=\"margin: 0px; padding: 0px; font-family: sans-serif; border-color: currentcolor;\" aria-hidden=\"true\"><span class=\"base\" style=\"margin: 0px; padding: 0px; border-color: currentcolor; position: relative; text-wrap: nowrap; width: min-content; display: inline-block;\"><span class=\"mord mathnormal\" style=\"margin: 0px 0.05017em 0px 0px; padding: 0px; font-family: KaTeX_Math; border-color: currentcolor; font-style: italic;\">B<\/span><\/span><\/span><\/span><\/span>\u00a0and\u00a0<span class=\"inline-equation\" style=\"margin: 0px; padding: 0px;\"><span class=\"katex\" style=\"margin: 0px; padding: 0px; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-kerning: auto; font-optical-sizing: auto; font-feature-settings: normal; font-variation-settings: normal; font-stretch: normal; font-size: 1.21em; line-height: 1.2; font-family: KaTeX_Main, 'Times New Roman', serif; text-rendering: auto;\"><span class=\"katex-mathml\" style=\"margin: 0px; padding: 0px; font-family: sans-serif; border: 0px; clip: rect(1px, 1px, 1px, 1px); height: 1px; overflow: hidden; position: absolute; width: 1px;\">\ufffd<\/span><span class=\"katex-html\" style=\"margin: 0px; padding: 0px; font-family: sans-serif; border-color: currentcolor;\" aria-hidden=\"true\"><span class=\"base\" style=\"margin: 0px; padding: 0px; border-color: currentcolor; position: relative; text-wrap: nowrap; width: min-content; display: inline-block;\"><span class=\"mord mathnormal\" style=\"margin: 0px 0.07153em 0px 0px; padding: 0px; font-family: KaTeX_Math; border-color: currentcolor; font-style: italic;\">C<\/span><\/span><\/span><\/span><\/span>. Factory\u00a0<span class=\"inline-equation\" style=\"margin: 0px; padding: 0px;\"><span class=\"katex\" style=\"margin: 0px; padding: 0px; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-kerning: auto; font-optical-sizing: auto; font-feature-settings: normal; font-variation-settings: normal; font-stretch: normal; font-size: 1.21em; line-height: 1.2; font-family: KaTeX_Main, 'Times New Roman', serif; text-rendering: auto;\"><span class=\"katex-mathml\" style=\"margin: 0px; padding: 0px; font-family: sans-serif; border: 0px; clip: rect(1px, 1px, 1px, 1px); height: 1px; overflow: hidden; position: absolute; width: 1px;\">\ufffd<\/span><span class=\"katex-html\" style=\"margin: 0px; padding: 0px; font-family: sans-serif; border-color: currentcolor;\" aria-hidden=\"true\"><span class=\"base\" style=\"margin: 0px; padding: 0px; border-color: currentcolor; position: relative; text-wrap: nowrap; width: min-content; display: inline-block;\"><span class=\"mord mathnormal\" style=\"margin: 0px; padding: 0px; font-family: KaTeX_Math; border-color: currentcolor; font-style: italic;\">A<\/span><\/span><\/span><\/span><\/span>\u00a0produces 2 times the number of items produced by factory\u00a0<span class=\"inline-equation\" style=\"margin: 0px; padding: 0px;\"><span class=\"katex\" style=\"margin: 0px; padding: 0px; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-kerning: auto; font-optical-sizing: auto; font-feature-settings: normal; font-variation-settings: normal; font-stretch: normal; font-size: 1.21em; line-height: 1.2; font-family: KaTeX_Main, 'Times New Roman', serif; text-rendering: auto;\"><span class=\"katex-mathml\" style=\"margin: 0px; padding: 0px; font-family: sans-serif; border: 0px; clip: rect(1px, 1px, 1px, 1px); height: 1px; overflow: hidden; position: absolute; width: 1px;\">\ufffd<\/span><span class=\"katex-html\" style=\"margin: 0px; padding: 0px; font-family: sans-serif; border-color: currentcolor;\" aria-hidden=\"true\"><span class=\"base\" style=\"margin: 0px; padding: 0px; border-color: currentcolor; position: relative; text-wrap: nowrap; width: min-content; display: inline-block;\"><span class=\"mord mathnormal\" style=\"margin: 0px 0.05017em 0px 0px; padding: 0px; font-family: KaTeX_Math; border-color: currentcolor; font-style: italic;\">B<\/span><\/span><\/span><\/span><\/span>, and the factories\u00a0<span class=\"inline-equation\" style=\"margin: 0px; padding: 0px;\"><span class=\"katex\" style=\"margin: 0px; padding: 0px; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-kerning: auto; font-optical-sizing: auto; font-feature-settings: normal; font-variation-settings: normal; font-stretch: normal; font-size: 1.21em; line-height: 1.2; font-family: KaTeX_Main, 'Times New Roman', serif; text-rendering: auto;\"><span class=\"katex-mathml\" style=\"margin: 0px; padding: 0px; font-family: sans-serif; border: 0px; clip: rect(1px, 1px, 1px, 1px); height: 1px; overflow: hidden; position: absolute; width: 1px;\">\ufffd<\/span><span class=\"katex-html\" style=\"margin: 0px; padding: 0px; font-family: sans-serif; border-color: currentcolor;\" aria-hidden=\"true\"><span class=\"base\" style=\"margin: 0px; padding: 0px; border-color: currentcolor; position: relative; text-wrap: nowrap; width: min-content; display: inline-block;\"><span class=\"mord mathnormal\" style=\"margin: 0px 0.05017em 0px 0px; padding: 0px; font-family: KaTeX_Math; border-color: currentcolor; font-style: italic;\">B<\/span><\/span><\/span><\/span><\/span>\u00a0and\u00a0<span class=\"inline-equation\" style=\"margin: 0px; padding: 0px;\"><span class=\"katex\" style=\"margin: 0px; padding: 0px; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-kerning: auto; font-optical-sizing: auto; font-feature-settings: normal; font-variation-settings: normal; font-stretch: normal; font-size: 1.21em; line-height: 1.2; font-family: KaTeX_Main, 'Times New Roman', serif; text-rendering: auto;\"><span class=\"katex-mathml\" style=\"margin: 0px; padding: 0px; font-family: sans-serif; border: 0px; clip: rect(1px, 1px, 1px, 1px); height: 1px; overflow: hidden; position: absolute; width: 1px;\">\ufffd<\/span><span class=\"katex-html\" style=\"margin: 0px; padding: 0px; font-family: sans-serif; border-color: currentcolor;\" aria-hidden=\"true\"><span class=\"base\" style=\"margin: 0px; padding: 0px; border-color: currentcolor; position: relative; text-wrap: nowrap; width: min-content; display: inline-block;\"><span class=\"mord mathnormal\" style=\"margin: 0px 0.07153em 0px 0px; padding: 0px; font-family: KaTeX_Math; border-color: currentcolor; font-style: italic;\">C<\/span><\/span><\/span><\/span><\/span>\u00a0produces the same number of items. It is known that 8%, 7%, 3% of the items produced by factories\u00a0<span class=\"inline-equation\" style=\"margin: 0px; padding: 0px;\"><span class=\"katex\" style=\"margin: 0px; padding: 0px; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-kerning: auto; font-optical-sizing: auto; font-feature-settings: normal; font-variation-settings: normal; font-stretch: normal; font-size: 1.21em; line-height: 1.2; font-family: KaTeX_Main, 'Times New Roman', serif; text-rendering: auto;\"><span class=\"katex-mathml\" style=\"margin: 0px; padding: 0px; font-family: sans-serif; border: 0px; clip: rect(1px, 1px, 1px, 1px); height: 1px; overflow: hidden; position: absolute; width: 1px;\">\ufffd<\/span><span class=\"katex-html\" style=\"margin: 0px; padding: 0px; font-family: sans-serif; border-color: currentcolor;\" aria-hidden=\"true\"><span class=\"base\" style=\"margin: 0px; padding: 0px; border-color: currentcolor; position: relative; text-wrap: nowrap; width: min-content; display: inline-block;\"><span class=\"mord mathnormal\" style=\"margin: 0px; padding: 0px; font-family: KaTeX_Math; border-color: currentcolor; font-style: italic;\">A<\/span><\/span><\/span><\/span><\/span>,\u00a0<span class=\"inline-equation\" style=\"margin: 0px; padding: 0px;\"><span class=\"katex\" style=\"margin: 0px; padding: 0px; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-kerning: auto; font-optical-sizing: auto; font-feature-settings: normal; font-variation-settings: normal; font-stretch: normal; font-size: 1.21em; line-height: 1.2; font-family: KaTeX_Main, 'Times New Roman', serif; text-rendering: auto;\"><span class=\"katex-mathml\" style=\"margin: 0px; padding: 0px; font-family: sans-serif; border: 0px; clip: rect(1px, 1px, 1px, 1px); height: 1px; overflow: hidden; position: absolute; width: 1px;\">\ufffd<\/span><span class=\"katex-html\" style=\"margin: 0px; padding: 0px; font-family: sans-serif; border-color: currentcolor;\" aria-hidden=\"true\"><span class=\"base\" style=\"margin: 0px; padding: 0px; border-color: currentcolor; position: relative; text-wrap: nowrap; width: min-content; display: inline-block;\"><span class=\"mord mathnormal\" style=\"margin: 0px 0.05017em 0px 0px; padding: 0px; font-family: KaTeX_Math; border-color: currentcolor; font-style: italic;\">B<\/span><\/span><\/span><\/span><\/span>\u00a0and\u00a0<span class=\"inline-equation\" style=\"margin: 0px; padding: 0px;\"><span class=\"katex\" style=\"margin: 0px; padding: 0px; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-kerning: auto; font-optical-sizing: auto; font-feature-settings: normal; font-variation-settings: normal; font-stretch: normal; font-size: 1.21em; line-height: 1.2; font-family: KaTeX_Main, 'Times New Roman', serif; text-rendering: auto;\"><span class=\"katex-mathml\" style=\"margin: 0px; padding: 0px; font-family: sans-serif; border: 0px; clip: rect(1px, 1px, 1px, 1px); height: 1px; overflow: hidden; position: absolute; width: 1px;\">\ufffd<\/span><span class=\"katex-html\" style=\"margin: 0px; padding: 0px; font-family: sans-serif; border-color: currentcolor;\" aria-hidden=\"true\"><span class=\"base\" style=\"margin: 0px; padding: 0px; border-color: currentcolor; position: relative; text-wrap: nowrap; width: min-content; display: inline-block;\"><span class=\"mord mathnormal\" style=\"margin: 0px 0.07153em 0px 0px; padding: 0px; font-family: KaTeX_Math; border-color: currentcolor; font-style: italic;\">C<\/span><\/span><\/span><\/span><\/span>\u00a0respectively are defective. All items produced in the three factories are stocked, and an item is selected at random. What is the probability that the selected item is defective? (Enter the answer correct to two decimal places)<\/h4><div style=\"margin: 0px; padding: 0px;\">\u00a0<\/div><div class=\"qt-response\" style=\"margin: 0px; padding: 0px;\">\u00a0<\/div><div class=\"qt-feedback\" style=\"margin: 0px; padding: 0px;\" role=\"alert\"><div style=\"margin: 0px; padding: 0px;\"><h3 class=\"feedback-header\" style=\"margin-bottom: 16px; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-kerning: auto; font-optical-sizing: auto; font-feature-settings: normal; font-variation-settings: normal; font-weight: 400; font-stretch: normal; font-size: 16px; line-height: 28px; font-family: Roboto, 'Helvetica Neue', sans-serif; letter-spacing: normal;\">\u00a0<\/h3><div style=\"margin: 0px; padding: 0px;\"><h3 class=\"feedback-header faculty-answer\" style=\"margin-bottom: 16px; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-kerning: auto; font-optical-sizing: auto; font-feature-settings: normal; font-variation-settings: normal; font-weight: 400; font-stretch: normal; font-size: 16px; line-height: 28px; font-family: Roboto, 'Helvetica Neue', sans-serif; color: #05a660; letter-spacing: normal;\">Accepted Answers:<\/h3><div class=\"faculty-answer\" style=\"margin: 0px; padding: 0px; color: #05a660;\">(Type: Range) 0.04,0.1<\/div><\/div><\/div><\/div><\/div><div class=\"qt-points\" style=\"margin: 0px; padding: 0px; float: right; font-weight: bold; text-align: right;\"><em style=\"margin: 0px; padding: 0px;\">1 point<\/em><\/div><\/div><div class=\"gcb-cols gcb-question-counter-increment gcb-question-row\" style=\"margin: 0px 0px 16px; padding: 2rem; counter-increment: question-number 1; background-color: #ffffff; box-shadow: #e1e1e1 1px 1px 1px;\"><div class=\"gcb-col-counters gcb-show-question-counter\" style=\"margin: 0px; padding: 0px 5px 0px 0px; float: left;\">\u00a0<\/div><div id=\"AVvLQp8AWIGk.1.6590681120243712\" class=\"qt-sa-question qt-embedded\" style=\"margin: 0px; padding: 0px;\"><div style=\"margin: 0px; padding: 0px;\">\u00a0<\/div><h4 class=\"qt-question\" style=\"margin: 0px; padding: 0px;\">4. An item is produced in three factories\u00a0<span class=\"inline-equation\" style=\"margin: 0px; padding: 0px;\"><span class=\"katex\" style=\"margin: 0px; padding: 0px; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-kerning: auto; font-optical-sizing: auto; font-feature-settings: normal; font-variation-settings: normal; font-stretch: normal; font-size: 1.21em; line-height: 1.2; font-family: KaTeX_Main, 'Times New Roman', serif; text-rendering: auto;\"><span class=\"katex-mathml\" style=\"margin: 0px; padding: 0px; font-family: sans-serif; border: 0px; clip: rect(1px, 1px, 1px, 1px); height: 1px; overflow: hidden; position: absolute; width: 1px;\">\ufffd<\/span><span class=\"katex-html\" style=\"margin: 0px; padding: 0px; font-family: sans-serif; border-color: currentcolor;\" aria-hidden=\"true\"><span class=\"base\" style=\"margin: 0px; padding: 0px; border-color: currentcolor; position: relative; text-wrap: nowrap; width: min-content; display: inline-block;\"><span class=\"mord mathnormal\" style=\"margin: 0px; padding: 0px; font-family: KaTeX_Math; border-color: currentcolor; font-style: italic;\">A<\/span><\/span><\/span><\/span><\/span>,\u00a0<span class=\"inline-equation\" style=\"margin: 0px; padding: 0px;\"><span class=\"katex\" style=\"margin: 0px; padding: 0px; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-kerning: auto; font-optical-sizing: auto; font-feature-settings: normal; font-variation-settings: normal; font-stretch: normal; font-size: 1.21em; line-height: 1.2; font-family: KaTeX_Main, 'Times New Roman', serif; text-rendering: auto;\"><span class=\"katex-mathml\" style=\"margin: 0px; padding: 0px; font-family: sans-serif; border: 0px; clip: rect(1px, 1px, 1px, 1px); height: 1px; overflow: hidden; position: absolute; width: 1px;\">\ufffd<\/span><span class=\"katex-html\" style=\"margin: 0px; padding: 0px; font-family: sans-serif; border-color: currentcolor;\" aria-hidden=\"true\"><span class=\"base\" style=\"margin: 0px; padding: 0px; border-color: currentcolor; position: relative; text-wrap: nowrap; width: min-content; display: inline-block;\"><span class=\"mord mathnormal\" style=\"margin: 0px 0.05017em 0px 0px; padding: 0px; font-family: KaTeX_Math; border-color: currentcolor; font-style: italic;\">B<\/span><\/span><\/span><\/span><\/span>\u00a0and\u00a0<span class=\"inline-equation\" style=\"margin: 0px; padding: 0px;\"><span class=\"katex\" style=\"margin: 0px; padding: 0px; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-kerning: auto; font-optical-sizing: auto; font-feature-settings: normal; font-variation-settings: normal; font-stretch: normal; font-size: 1.21em; line-height: 1.2; font-family: KaTeX_Main, 'Times New Roman', serif; text-rendering: auto;\"><span class=\"katex-mathml\" style=\"margin: 0px; padding: 0px; font-family: sans-serif; border: 0px; clip: rect(1px, 1px, 1px, 1px); height: 1px; overflow: hidden; position: absolute; width: 1px;\">\ufffd<\/span><span class=\"katex-html\" style=\"margin: 0px; padding: 0px; font-family: sans-serif; border-color: currentcolor;\" aria-hidden=\"true\"><span class=\"base\" style=\"margin: 0px; padding: 0px; border-color: currentcolor; position: relative; text-wrap: nowrap; width: min-content; display: inline-block;\"><span class=\"mord mathnormal\" style=\"margin: 0px 0.07153em 0px 0px; padding: 0px; font-family: KaTeX_Math; border-color: currentcolor; font-style: italic;\">C<\/span><\/span><\/span><\/span><\/span>. Factory\u00a0<span class=\"inline-equation\" style=\"margin: 0px; padding: 0px;\"><span class=\"katex\" style=\"margin: 0px; padding: 0px; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-kerning: auto; font-optical-sizing: auto; font-feature-settings: normal; font-variation-settings: normal; font-stretch: normal; font-size: 1.21em; line-height: 1.2; font-family: KaTeX_Main, 'Times New Roman', serif; text-rendering: auto;\"><span class=\"katex-mathml\" style=\"margin: 0px; padding: 0px; font-family: sans-serif; border: 0px; clip: rect(1px, 1px, 1px, 1px); height: 1px; overflow: hidden; position: absolute; width: 1px;\">\ufffd<\/span><span class=\"katex-html\" style=\"margin: 0px; padding: 0px; font-family: sans-serif; border-color: currentcolor;\" aria-hidden=\"true\"><span class=\"base\" style=\"margin: 0px; padding: 0px; border-color: currentcolor; position: relative; text-wrap: nowrap; width: min-content; display: inline-block;\"><span class=\"mord mathnormal\" style=\"margin: 0px; padding: 0px; font-family: KaTeX_Math; border-color: currentcolor; font-style: italic;\">A<\/span><\/span><\/span><\/span><\/span>\u00a0produces 2 times the number of items produced by factory\u00a0<span class=\"inline-equation\" style=\"margin: 0px; padding: 0px;\"><span class=\"katex\" style=\"margin: 0px; padding: 0px; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-kerning: auto; font-optical-sizing: auto; font-feature-settings: normal; font-variation-settings: normal; font-stretch: normal; font-size: 1.21em; line-height: 1.2; font-family: KaTeX_Main, 'Times New Roman', serif; text-rendering: auto;\"><span class=\"katex-mathml\" style=\"margin: 0px; padding: 0px; font-family: sans-serif; border: 0px; clip: rect(1px, 1px, 1px, 1px); height: 1px; overflow: hidden; position: absolute; width: 1px;\">\ufffd<\/span><span class=\"katex-html\" style=\"margin: 0px; padding: 0px; font-family: sans-serif; border-color: currentcolor;\" aria-hidden=\"true\"><span class=\"base\" style=\"margin: 0px; padding: 0px; border-color: currentcolor; position: relative; text-wrap: nowrap; width: min-content; display: inline-block;\"><span class=\"mord mathnormal\" style=\"margin: 0px 0.05017em 0px 0px; padding: 0px; font-family: KaTeX_Math; border-color: currentcolor; font-style: italic;\">B<\/span><\/span><\/span><\/span><\/span>, and the factories\u00a0<span class=\"inline-equation\" style=\"margin: 0px; padding: 0px;\"><span class=\"katex\" style=\"margin: 0px; padding: 0px; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-kerning: auto; font-optical-sizing: auto; font-feature-settings: normal; font-variation-settings: normal; font-stretch: normal; font-size: 1.21em; line-height: 1.2; font-family: KaTeX_Main, 'Times New Roman', serif; text-rendering: auto;\"><span class=\"katex-mathml\" style=\"margin: 0px; padding: 0px; font-family: sans-serif; border: 0px; clip: rect(1px, 1px, 1px, 1px); height: 1px; overflow: hidden; position: absolute; width: 1px;\">\ufffd<\/span><span class=\"katex-html\" style=\"margin: 0px; padding: 0px; font-family: sans-serif; border-color: currentcolor;\" aria-hidden=\"true\"><span class=\"base\" style=\"margin: 0px; padding: 0px; border-color: currentcolor; position: relative; text-wrap: nowrap; width: min-content; display: inline-block;\"><span class=\"mord mathnormal\" style=\"margin: 0px 0.05017em 0px 0px; padding: 0px; font-family: KaTeX_Math; border-color: currentcolor; font-style: italic;\">B<\/span><\/span><\/span><\/span><\/span>\u00a0and\u00a0<span class=\"inline-equation\" style=\"margin: 0px; padding: 0px;\"><span class=\"katex\" style=\"margin: 0px; padding: 0px; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-kerning: auto; font-optical-sizing: auto; font-feature-settings: normal; font-variation-settings: normal; font-stretch: normal; font-size: 1.21em; line-height: 1.2; font-family: KaTeX_Main, 'Times New Roman', serif; text-rendering: auto;\"><span class=\"katex-mathml\" style=\"margin: 0px; padding: 0px; font-family: sans-serif; border: 0px; clip: rect(1px, 1px, 1px, 1px); height: 1px; overflow: hidden; position: absolute; width: 1px;\">\ufffd<\/span><span class=\"katex-html\" style=\"margin: 0px; padding: 0px; font-family: sans-serif; border-color: currentcolor;\" aria-hidden=\"true\"><span class=\"base\" style=\"margin: 0px; padding: 0px; border-color: currentcolor; position: relative; text-wrap: nowrap; width: min-content; display: inline-block;\"><span class=\"mord mathnormal\" style=\"margin: 0px 0.07153em 0px 0px; padding: 0px; font-family: KaTeX_Math; border-color: currentcolor; font-style: italic;\">C<\/span><\/span><\/span><\/span><\/span>\u00a0produces the same number of items. It is known that 8%, 7%, 3% of the items produced by factories\u00a0<span class=\"inline-equation\" style=\"margin: 0px; padding: 0px;\"><span class=\"katex\" style=\"margin: 0px; padding: 0px; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-kerning: auto; font-optical-sizing: auto; font-feature-settings: normal; font-variation-settings: normal; font-stretch: normal; font-size: 1.21em; line-height: 1.2; font-family: KaTeX_Main, 'Times New Roman', serif; text-rendering: auto;\"><span class=\"katex-mathml\" style=\"margin: 0px; padding: 0px; font-family: sans-serif; border: 0px; clip: rect(1px, 1px, 1px, 1px); height: 1px; overflow: hidden; position: absolute; width: 1px;\">\ufffd<\/span><span class=\"katex-html\" style=\"margin: 0px; padding: 0px; font-family: sans-serif; border-color: currentcolor;\" aria-hidden=\"true\"><span class=\"base\" style=\"margin: 0px; padding: 0px; border-color: currentcolor; position: relative; text-wrap: nowrap; width: min-content; display: inline-block;\"><span class=\"mord mathnormal\" style=\"margin: 0px; padding: 0px; font-family: KaTeX_Math; border-color: currentcolor; font-style: italic;\">A<\/span><\/span><\/span><\/span><\/span>,\u00a0<span class=\"inline-equation\" style=\"margin: 0px; padding: 0px;\"><span class=\"katex\" style=\"margin: 0px; padding: 0px; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-kerning: auto; font-optical-sizing: auto; font-feature-settings: normal; font-variation-settings: normal; font-stretch: normal; font-size: 1.21em; line-height: 1.2; font-family: KaTeX_Main, 'Times New Roman', serif; text-rendering: auto;\"><span class=\"katex-mathml\" style=\"margin: 0px; padding: 0px; font-family: sans-serif; border: 0px; clip: rect(1px, 1px, 1px, 1px); height: 1px; overflow: hidden; position: absolute; width: 1px;\">\ufffd<\/span><span class=\"katex-html\" style=\"margin: 0px; padding: 0px; font-family: sans-serif; border-color: currentcolor;\" aria-hidden=\"true\"><span class=\"base\" style=\"margin: 0px; padding: 0px; border-color: currentcolor; position: relative; text-wrap: nowrap; width: min-content; display: inline-block;\"><span class=\"mord mathnormal\" style=\"margin: 0px 0.05017em 0px 0px; padding: 0px; font-family: KaTeX_Math; border-color: currentcolor; font-style: italic;\">B<\/span><\/span><\/span><\/span><\/span>\u00a0and\u00a0<span class=\"inline-equation\" style=\"margin: 0px; padding: 0px;\"><span class=\"katex\" style=\"margin: 0px; padding: 0px; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-kerning: auto; font-optical-sizing: auto; font-feature-settings: normal; font-variation-settings: normal; font-stretch: normal; font-size: 1.21em; line-height: 1.2; font-family: KaTeX_Main, 'Times New Roman', serif; text-rendering: auto;\"><span class=\"katex-mathml\" style=\"margin: 0px; padding: 0px; font-family: sans-serif; border: 0px; clip: rect(1px, 1px, 1px, 1px); height: 1px; overflow: hidden; position: absolute; width: 1px;\">\ufffd<\/span><span class=\"katex-html\" style=\"margin: 0px; padding: 0px; font-family: sans-serif; border-color: currentcolor;\" aria-hidden=\"true\"><span class=\"base\" style=\"margin: 0px; padding: 0px; border-color: currentcolor; position: relative; text-wrap: nowrap; width: min-content; display: inline-block;\"><span class=\"mord mathnormal\" style=\"margin: 0px 0.07153em 0px 0px; padding: 0px; font-family: KaTeX_Math; border-color: currentcolor; font-style: italic;\">C<\/span><\/span><\/span><\/span><\/span>\u00a0respectively are defective. All items produced in the three factories are stocked, and an item is selected at random. If an item selected at random is found to be defective, what is the probability that it was produced by factory B? (Enter the answer correct to two decimal places)<\/h4><div style=\"margin: 0px; padding: 0px;\">\u00a0<\/div><div class=\"qt-response\" style=\"margin: 0px; padding: 0px;\">\u00a0<\/div><div class=\"qt-feedback\" style=\"margin: 0px; padding: 0px;\" role=\"alert\"><div style=\"margin: 0px; padding: 0px;\"><h3 class=\"feedback-header\" style=\"margin-bottom: 16px; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-kerning: auto; font-optical-sizing: auto; font-feature-settings: normal; font-variation-settings: normal; font-weight: 400; font-stretch: normal; font-size: 16px; line-height: 28px; font-family: Roboto, 'Helvetica Neue', sans-serif; letter-spacing: normal;\"><span class=\"incorrect\" style=\"margin: 1rem 0px; padding: 0px; font-family: sans-serif; color: #ff3b3b;\">No, the answer is incorrect.<\/span><br style=\"margin: 1rem 0px; padding: 0px; font-family: sans-serif;\" \/><span class=\"incorrect\" style=\"margin: 1rem 0px; padding: 0px; font-family: sans-serif; color: #ff3b3b;\">Score: 0<\/span><\/h3><div style=\"margin: 0px; padding: 0px;\"><h3 class=\"feedback-header faculty-answer\" style=\"margin-bottom: 16px; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-kerning: auto; font-optical-sizing: auto; font-feature-settings: normal; font-variation-settings: normal; font-weight: 400; font-stretch: normal; font-size: 16px; line-height: 28px; font-family: Roboto, 'Helvetica Neue', sans-serif; color: #05a660; letter-spacing: normal;\">Accepted Answers:<\/h3><div class=\"faculty-answer\" style=\"margin: 0px; padding: 0px; color: #05a660;\">(Type: Range) 0.24,0.3<\/div><\/div><\/div><\/div><\/div><div class=\"qt-points\" style=\"margin: 0px; padding: 0px; float: right; font-weight: bold; text-align: right;\"><em style=\"margin: 0px; padding: 0px;\">1 point<\/em><\/div><\/div><div class=\"qt-feedback qt-hidden\" style=\"margin: 0px; padding: 0px;\" role=\"alert\">\u00a0<\/div><\/div><\/div><p>\u00a0<\/p><div style=\"margin: 0px; padding: 0px; font-family: sans-serif; color: rgba(0, 0, 0, 0.87); font-size: 14px; background-color: #fafafc;\"><div id=\"FML83PmxbI8s\" class=\"qt-question-group\" style=\"margin: 0px; padding: 0px;\"><div class=\"qt-introduction\" style=\"margin: 0px 0px 8px; padding: 0px; font-size: 1.6rem;\">\u00a0<\/div><div class=\"gcb-cols gcb-question-counter-increment gcb-question-row\" style=\"margin: 0px 0px 16px; padding: 2rem; counter-increment: question-number 1; background-color: #ffffff; box-shadow: #e1e1e1 1px 1px 1px;\"><div class=\"gcb-col-counters gcb-show-question-counter\" style=\"margin: 0px; padding: 0px 5px 0px 0px; float: left;\">\u00a0<\/div><div id=\"FML83PmxbI8s.0.4886564622565376\" class=\"qt-sa-question qt-embedded\" style=\"margin: 0px; padding: 0px;\"><div style=\"margin: 0px; padding: 0px;\">\u00a0<\/div><h4 class=\"qt-question\" style=\"margin: 0px; padding: 0px;\">5. A particular task is given to three persons, Manoj, Kalpana and Ananya whose probabilities of completing it are\u00a0<span class=\"inline-equation\" style=\"margin: 0px; padding: 0px;\"><span class=\"katex\" style=\"margin: 0px; padding: 0px; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-kerning: auto; font-optical-sizing: auto; font-feature-settings: normal; font-variation-settings: normal; font-stretch: normal; font-size: 1.21em; line-height: 1.2; font-family: KaTeX_Main, 'Times New Roman', serif; text-rendering: auto;\"><span class=\"katex-mathml\" style=\"margin: 0px; padding: 0px; font-family: sans-serif; border: 0px; clip: rect(1px, 1px, 1px, 1px); height: 1px; overflow: hidden; position: absolute; width: 1px;\">25<\/span><span class=\"katex-html\" style=\"margin: 0px; padding: 0px; font-family: sans-serif; border-color: currentcolor;\" aria-hidden=\"true\"><span class=\"base\" style=\"margin: 0px; padding: 0px; border-color: currentcolor; position: relative; text-wrap: nowrap; width: min-content; display: inline-block;\"><span class=\"mord\" style=\"margin: 0px; padding: 0px; border-color: currentcolor;\"><span class=\"mfrac\" style=\"margin: 0px; padding: 0px; border-color: currentcolor;\"><span class=\"vlist-t vlist-t2\" style=\"margin: 0px -2px 0px 0px; padding: 0px; border-color: currentcolor; border-collapse: collapse; display: inline-table; table-layout: fixed;\"><span class=\"vlist-r\" style=\"margin: 0px; padding: 0px; border-color: currentcolor; display: table-row; text-align: center;\"><span class=\"vlist\" style=\"margin: 0px; padding: 0px; border-color: currentcolor; display: table-cell; position: relative; vertical-align: bottom; height: 1.32144em;\"><span class=\"\" style=\"margin: 0px; padding: 0px; border-color: currentcolor; display: block; height: 0px; position: relative; top: -2.314em;\"><span class=\"mord\" style=\"margin: 0px; padding: 0px; border-color: currentcolor; display: inline-block;\"><span class=\"mord\" style=\"margin: 0px; padding: 0px; border-color: currentcolor;\">5<\/span><\/span><\/span><span class=\"\" style=\"margin: 0px; padding: 0px; border-color: currentcolor; display: block; height: 0px; position: relative; top: -3.677em;\"><span class=\"mord\" style=\"margin: 0px; padding: 0px; border-color: currentcolor; display: inline-block;\"><span class=\"mord\" style=\"margin: 0px; padding: 0px; border-color: currentcolor;\">2<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>,\u00a0<span class=\"inline-equation\" style=\"margin: 0px; padding: 0px;\"><span class=\"katex\" style=\"margin: 0px; padding: 0px; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-kerning: auto; font-optical-sizing: auto; font-feature-settings: normal; font-variation-settings: normal; font-stretch: normal; font-size: 1.21em; line-height: 1.2; font-family: KaTeX_Main, 'Times New Roman', serif; text-rendering: auto;\"><span class=\"katex-mathml\" style=\"margin: 0px; padding: 0px; font-family: sans-serif; border: 0px; clip: rect(1px, 1px, 1px, 1px); height: 1px; overflow: hidden; position: absolute; width: 1px;\">45<\/span><span class=\"katex-html\" style=\"margin: 0px; padding: 0px; font-family: sans-serif; border-color: currentcolor;\" aria-hidden=\"true\"><span class=\"base\" style=\"margin: 0px; padding: 0px; border-color: currentcolor; position: relative; text-wrap: nowrap; width: min-content; display: inline-block;\"><span class=\"mord\" style=\"margin: 0px; padding: 0px; border-color: currentcolor;\"><span class=\"mfrac\" style=\"margin: 0px; padding: 0px; border-color: currentcolor;\"><span class=\"vlist-t vlist-t2\" style=\"margin: 0px -2px 0px 0px; padding: 0px; border-color: currentcolor; border-collapse: collapse; display: inline-table; table-layout: fixed;\"><span class=\"vlist-r\" style=\"margin: 0px; padding: 0px; border-color: currentcolor; display: table-row; text-align: center;\"><span class=\"vlist\" style=\"margin: 0px; padding: 0px; border-color: currentcolor; display: table-cell; position: relative; vertical-align: bottom; height: 1.32144em;\"><span class=\"\" style=\"margin: 0px; padding: 0px; border-color: currentcolor; display: block; height: 0px; position: relative; top: -2.314em;\"><span class=\"mord\" style=\"margin: 0px; padding: 0px; border-color: currentcolor; display: inline-block;\"><span class=\"mord\" style=\"margin: 0px; padding: 0px; border-color: currentcolor;\">5<\/span><\/span><\/span><span class=\"\" style=\"margin: 0px; padding: 0px; border-color: currentcolor; display: block; height: 0px; position: relative; top: -3.677em;\"><span class=\"mord\" style=\"margin: 0px; padding: 0px; border-color: currentcolor; display: inline-block;\"><span class=\"mord\" style=\"margin: 0px; padding: 0px; border-color: currentcolor;\">4<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>\u00a0and\u00a0<span class=\"inline-equation\" style=\"margin: 0px; padding: 0px;\"><span class=\"katex\" style=\"margin: 0px; padding: 0px; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-kerning: auto; font-optical-sizing: auto; font-feature-settings: normal; font-variation-settings: normal; font-stretch: normal; font-size: 1.21em; line-height: 1.2; font-family: KaTeX_Main, 'Times New Roman', serif; text-rendering: auto;\"><span class=\"katex-mathml\" style=\"margin: 0px; padding: 0px; font-family: sans-serif; border: 0px; clip: rect(1px, 1px, 1px, 1px); height: 1px; overflow: hidden; position: absolute; width: 1px;\">28<\/span><span class=\"katex-html\" style=\"margin: 0px; padding: 0px; font-family: sans-serif; border-color: currentcolor;\" aria-hidden=\"true\"><span class=\"base\" style=\"margin: 0px; padding: 0px; border-color: currentcolor; position: relative; text-wrap: nowrap; width: min-content; display: inline-block;\"><span class=\"mord\" style=\"margin: 0px; padding: 0px; border-color: currentcolor;\"><span class=\"mfrac\" style=\"margin: 0px; padding: 0px; border-color: currentcolor;\"><span class=\"vlist-t vlist-t2\" style=\"margin: 0px -2px 0px 0px; padding: 0px; border-color: currentcolor; border-collapse: collapse; display: inline-table; table-layout: fixed;\"><span class=\"vlist-r\" style=\"margin: 0px; padding: 0px; border-color: currentcolor; display: table-row; text-align: center;\"><span class=\"vlist\" style=\"margin: 0px; padding: 0px; border-color: currentcolor; display: table-cell; position: relative; vertical-align: bottom; height: 1.32144em;\"><span class=\"\" style=\"margin: 0px; padding: 0px; border-color: currentcolor; display: block; height: 0px; position: relative; top: -2.314em;\"><span class=\"mord\" style=\"margin: 0px; padding: 0px; border-color: currentcolor; display: inline-block;\"><span class=\"mord\" style=\"margin: 0px; padding: 0px; border-color: currentcolor;\">8<\/span><\/span><\/span><span class=\"\" style=\"margin: 0px; padding: 0px; border-color: currentcolor; display: block; height: 0px; position: relative; top: -3.677em;\"><span class=\"mord\" style=\"margin: 0px; padding: 0px; border-color: currentcolor; display: inline-block;\"><span class=\"mord\" style=\"margin: 0px; padding: 0px; border-color: currentcolor;\">2<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>\u00a0respectively, independent of each other. What is the probability that the task will be completed? (Enter the answer correct to two decimal places)<\/h4><div style=\"margin: 0px; padding: 0px;\">\u00a0<\/div><h4 class=\"qt-response\" style=\"margin: 0px; padding: 0px;\">\u00a0<\/h4><div class=\"qt-feedback\" style=\"margin: 0px; padding: 0px;\" role=\"alert\"><div style=\"margin: 0px; padding: 0px;\"><h3 class=\"feedback-header\" style=\"margin-bottom: 16px; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-kerning: auto; font-optical-sizing: auto; font-feature-settings: normal; font-variation-settings: normal; font-weight: 400; font-stretch: normal; font-size: 16px; line-height: 28px; font-family: Roboto, 'Helvetica Neue', sans-serif; letter-spacing: normal;\"><span class=\"incorrect\" style=\"margin: 1rem 0px; padding: 0px; font-family: sans-serif; color: #ff3b3b;\">No, the answer is incorrect.<\/span><br style=\"margin: 1rem 0px; padding: 0px; font-family: sans-serif;\" \/><span class=\"incorrect\" style=\"margin: 1rem 0px; padding: 0px; font-family: sans-serif; color: #ff3b3b;\">Score: 0<\/span><\/h3><div style=\"margin: 0px; padding: 0px;\"><h3 class=\"feedback-header faculty-answer\" style=\"margin-bottom: 16px; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-kerning: auto; font-optical-sizing: auto; font-feature-settings: normal; font-variation-settings: normal; font-weight: 400; font-stretch: normal; font-size: 16px; line-height: 28px; font-family: Roboto, 'Helvetica Neue', sans-serif; color: #05a660; letter-spacing: normal;\">Accepted Answers:<\/h3><div class=\"faculty-answer\" style=\"margin: 0px; padding: 0px; color: #05a660;\">(Type: Range) 0.88,0.94<\/div><\/div><\/div><\/div><\/div><div class=\"qt-points\" style=\"margin: 0px; padding: 0px; float: right; font-weight: bold; text-align: right;\"><em style=\"margin: 0px; padding: 0px;\">1 point<\/em><\/div><\/div><div class=\"qt-feedback qt-hidden\" style=\"margin: 0px; padding: 0px;\" role=\"alert\">\u00a0<\/div><\/div><\/div><p>\u00a0<\/p><div style=\"margin: 0px; padding: 0px; font-family: sans-serif; color: rgba(0, 0, 0, 0.87); font-size: 14px; background-color: #fafafc;\"><div id=\"Low9usc8NQqQ\" class=\"qt-question-group\" style=\"margin: 0px; padding: 0px;\"><div class=\"qt-introduction\" style=\"margin: 0px 0px 8px; padding: 0px; font-size: 1.6rem;\">\u00a0<\/div><div class=\"gcb-cols gcb-question-counter-increment gcb-question-row\" style=\"margin: 0px 0px 16px; padding: 2rem; counter-increment: question-number 1; background-color: #ffffff; box-shadow: #e1e1e1 1px 1px 1px;\"><div class=\"gcb-col-counters gcb-show-question-counter\" style=\"margin: 0px; padding: 0px 5px 0px 0px; float: left;\">\u00a0<\/div><div id=\"Low9usc8NQqQ.0.5887922121211904\" class=\"qt-sa-question qt-embedded\" style=\"margin: 0px; padding: 0px;\"><div style=\"margin: 0px; padding: 0px;\">\u00a0<\/div><h4 class=\"qt-question\" style=\"margin: 0px; padding: 0px;\">6.If A and B are two independent events such that<span class=\"inline-equation\" style=\"margin: 0px; padding: 0px;\"><span class=\"katex\" style=\"margin: 0px; padding: 0px; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-kerning: auto; font-optical-sizing: auto; font-feature-settings: normal; font-variation-settings: normal; font-stretch: normal; font-size: 1.21em; line-height: 1.2; font-family: KaTeX_Main, 'Times New Roman', serif; text-rendering: auto;\"><span class=\"katex-mathml\" style=\"margin: 0px; padding: 0px; font-family: sans-serif; border: 0px; clip: rect(1px, 1px, 1px, 1px); height: 1px; overflow: hidden; position: absolute; width: 1px;\">\ufffd(\ufffd\ufffd)=0.74<\/span><span class=\"katex-html\" style=\"margin: 0px; padding: 0px; font-family: sans-serif; border-color: currentcolor;\" aria-hidden=\"true\"><span class=\"base\" style=\"margin: 0px; padding: 0px; border-color: currentcolor; position: relative; text-wrap: nowrap; width: min-content; display: inline-block;\"><span class=\"mord mathnormal\" style=\"margin: 0px 0.13889em 0px 0px; padding: 0px; font-family: KaTeX_Math; border-color: currentcolor; font-style: italic;\">P<\/span><span class=\"mopen\" style=\"margin: 0px; padding: 0px; border-color: currentcolor;\">(<\/span><span class=\"mord\" style=\"margin: 0px; padding: 0px; border-color: currentcolor;\"><span class=\"mord mathnormal\" style=\"margin: 0px; padding: 0px; font-family: KaTeX_Math; border-color: currentcolor; font-style: italic;\">A<\/span><span class=\"msupsub\" style=\"margin: 0px; padding: 0px; border-color: currentcolor;\"><span class=\"vlist-t\" style=\"margin: 0px; padding: 0px; border-color: currentcolor; border-collapse: collapse; display: inline-table; table-layout: fixed;\"><span class=\"vlist-r\" style=\"margin: 0px; padding: 0px; border-color: currentcolor; display: table-row;\"><span class=\"vlist\" style=\"margin: 0px; padding: 0px; border-color: currentcolor; display: table-cell; position: relative; vertical-align: bottom; height: 0.664392em;\"><span class=\"\" style=\"margin: 0px 0.05em 0px 0px; padding: 0px; border-color: currentcolor; display: block; height: 0px; position: relative; top: -3.063em;\"><span class=\"sizing reset-size6 size3 mtight\" style=\"margin: 0px; padding: 0px; border-color: currentcolor; display: inline-block; font-size: 0.7em;\"><span class=\"mord mathnormal mtight\" style=\"margin: 0px; padding: 0px; font-family: KaTeX_Math; border-color: currentcolor; font-style: italic;\">c<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mclose\" style=\"margin: 0px; padding: 0px; border-color: currentcolor;\">)<\/span><span class=\"mrel\" style=\"margin: 0px; padding: 0px; border-color: currentcolor;\">=<\/span><\/span><span class=\"base\" style=\"margin: 0px; padding: 0px; border-color: currentcolor; position: relative; text-wrap: nowrap; width: min-content; display: inline-block;\"><span class=\"mord\" style=\"margin: 0px; padding: 0px; border-color: currentcolor;\">0.74<\/span><\/span><\/span><\/span><\/span>,\u00a0<span class=\"inline-equation\" style=\"margin: 0px; padding: 0px;\"><span class=\"katex\" style=\"margin: 0px; padding: 0px; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-kerning: auto; font-optical-sizing: auto; font-feature-settings: normal; font-variation-settings: normal; font-stretch: normal; font-size: 1.21em; line-height: 1.2; font-family: KaTeX_Main, 'Times New Roman', serif; text-rendering: auto;\"><span class=\"katex-mathml\" style=\"margin: 0px; padding: 0px; font-family: sans-serif; border: 0px; clip: rect(1px, 1px, 1px, 1px); height: 1px; overflow: hidden; position: absolute; width: 1px;\">\ufffd(\ufffd\ufffd)=\ufffd<\/span><span class=\"katex-html\" style=\"margin: 0px; padding: 0px; font-family: sans-serif; border-color: currentcolor;\" aria-hidden=\"true\"><span class=\"base\" style=\"margin: 0px; padding: 0px; border-color: currentcolor; position: relative; text-wrap: nowrap; width: min-content; display: inline-block;\"><span class=\"mord mathnormal\" style=\"margin: 0px 0.13889em 0px 0px; padding: 0px; font-family: KaTeX_Math; border-color: currentcolor; font-style: italic;\">P<\/span><span class=\"mopen\" style=\"margin: 0px; padding: 0px; border-color: currentcolor;\">(<\/span><span class=\"mord\" style=\"margin: 0px; padding: 0px; border-color: currentcolor;\"><span class=\"mord mathnormal\" style=\"margin: 0px 0.05017em 0px 0px; padding: 0px; font-family: KaTeX_Math; border-color: currentcolor; font-style: italic;\">B<\/span><span class=\"msupsub\" style=\"margin: 0px; padding: 0px; border-color: currentcolor;\"><span class=\"vlist-t\" style=\"margin: 0px; padding: 0px; border-color: currentcolor; border-collapse: collapse; display: inline-table; table-layout: fixed;\"><span class=\"vlist-r\" style=\"margin: 0px; padding: 0px; border-color: currentcolor; display: table-row;\"><span class=\"vlist\" style=\"margin: 0px; padding: 0px; border-color: currentcolor; display: table-cell; position: relative; vertical-align: bottom; height: 0.664392em;\"><span class=\"\" style=\"margin: 0px 0.05em 0px 0px; padding: 0px; border-color: currentcolor; display: block; height: 0px; position: relative; top: -3.063em;\"><span class=\"sizing reset-size6 size3 mtight\" style=\"margin: 0px; padding: 0px; border-color: currentcolor; display: inline-block; font-size: 0.7em;\"><span class=\"mord mathnormal mtight\" style=\"margin: 0px; padding: 0px; font-family: KaTeX_Math; border-color: currentcolor; font-style: italic;\">c<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mclose\" style=\"margin: 0px; padding: 0px; border-color: currentcolor;\">)<\/span><span class=\"mrel\" style=\"margin: 0px; padding: 0px; border-color: currentcolor;\">=<\/span><\/span><span class=\"base\" style=\"margin: 0px; padding: 0px; border-color: currentcolor; position: relative; text-wrap: nowrap; width: min-content; display: inline-block;\"><span class=\"mord mathnormal\" style=\"margin: 0px; padding: 0px; font-family: KaTeX_Math; border-color: currentcolor; font-style: italic;\">x<\/span><\/span><\/span><\/span><\/span>\u00a0and\u00a0<span class=\"inline-equation\" style=\"margin: 0px; padding: 0px;\"><span class=\"katex\" style=\"margin: 0px; padding: 0px; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-kerning: auto; font-optical-sizing: auto; font-feature-settings: normal; font-variation-settings: normal; font-stretch: normal; font-size: 1.21em; line-height: 1.2; font-family: KaTeX_Main, 'Times New Roman', serif; text-rendering: auto;\"><span class=\"katex-mathml\" style=\"margin: 0px; padding: 0px; font-family: sans-serif; border: 0px; clip: rect(1px, 1px, 1px, 1px); height: 1px; overflow: hidden; position: absolute; width: 1px;\">\ufffd(\ufffd\u222a\ufffd)=0.85<\/span><span class=\"katex-html\" style=\"margin: 0px; padding: 0px; font-family: sans-serif; border-color: currentcolor;\" aria-hidden=\"true\"><span class=\"base\" style=\"margin: 0px; padding: 0px; border-color: currentcolor; position: relative; text-wrap: nowrap; width: min-content; display: inline-block;\"><span class=\"mord mathnormal\" style=\"margin: 0px 0.13889em 0px 0px; padding: 0px; font-family: KaTeX_Math; border-color: currentcolor; font-style: italic;\">P<\/span><span class=\"mopen\" style=\"margin: 0px; padding: 0px; border-color: currentcolor;\">(<\/span><span class=\"mord mathnormal\" style=\"margin: 0px; padding: 0px; font-family: KaTeX_Math; border-color: currentcolor; font-style: italic;\">A<\/span><span class=\"mbin\" style=\"margin: 0px; padding: 0px; border-color: currentcolor;\">\u222a<\/span><\/span><span class=\"base\" style=\"margin: 0px; padding: 0px; border-color: currentcolor; position: relative; text-wrap: nowrap; width: min-content; display: inline-block;\"><span class=\"mord mathnormal\" style=\"margin: 0px 0.05017em 0px 0px; padding: 0px; font-family: KaTeX_Math; border-color: currentcolor; font-style: italic;\">B<\/span><span class=\"mclose\" style=\"margin: 0px; padding: 0px; border-color: currentcolor;\">)<\/span><span class=\"mrel\" style=\"margin: 0px; padding: 0px; border-color: currentcolor;\">=<\/span><\/span><span class=\"base\" style=\"margin: 0px; padding: 0px; border-color: currentcolor; position: relative; text-wrap: nowrap; width: min-content; display: inline-block;\"><span class=\"mord\" style=\"margin: 0px; padding: 0px; border-color: currentcolor;\">0.85<\/span><\/span><\/span><\/span><\/span>, then calculate the value of\u00a0<span class=\"inline-equation\" style=\"margin: 0px; padding: 0px;\"><span class=\"katex\" style=\"margin: 0px; padding: 0px; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-kerning: auto; font-optical-sizing: auto; font-feature-settings: normal; font-variation-settings: normal; font-stretch: normal; font-size: 1.21em; line-height: 1.2; font-family: KaTeX_Main, 'Times New Roman', serif; text-rendering: auto;\"><span class=\"katex-mathml\" style=\"margin: 0px; padding: 0px; font-family: sans-serif; border: 0px; clip: rect(1px, 1px, 1px, 1px); height: 1px; overflow: hidden; position: absolute; width: 1px;\">\ufffd<\/span><span class=\"katex-html\" style=\"margin: 0px; padding: 0px; font-family: sans-serif; border-color: currentcolor;\" aria-hidden=\"true\"><span class=\"base\" style=\"margin: 0px; padding: 0px; border-color: currentcolor; position: relative; text-wrap: nowrap; width: min-content; display: inline-block;\"><span class=\"mord mathnormal\" style=\"margin: 0px; padding: 0px; font-family: KaTeX_Math; border-color: currentcolor; font-style: italic;\">x<\/span><\/span><\/span><\/span><\/span>. (Enter the answer correct to two decimal places)<\/h4><div style=\"margin: 0px; padding: 0px;\">\u00a0<\/div><div class=\"qt-response\" style=\"margin: 0px; padding: 0px;\">\u00a0<\/div><div class=\"qt-feedback\" style=\"margin: 0px; padding: 0px;\" role=\"alert\"><div style=\"margin: 0px; padding: 0px;\"><h3 class=\"feedback-header\" style=\"margin-bottom: 16px; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-kerning: auto; font-optical-sizing: auto; font-feature-settings: normal; font-variation-settings: normal; font-weight: 400; font-stretch: normal; font-size: 16px; line-height: 28px; font-family: Roboto, 'Helvetica Neue', sans-serif; letter-spacing: normal;\"><span class=\"incorrect\" style=\"margin: 1rem 0px; padding: 0px; font-family: sans-serif; color: #ff3b3b;\">No, the answer is incorrect.<\/span><br style=\"margin: 1rem 0px; padding: 0px; font-family: sans-serif;\" \/><span class=\"incorrect\" style=\"margin: 1rem 0px; padding: 0px; font-family: sans-serif; color: #ff3b3b;\">Score: 0<\/span><\/h3><div style=\"margin: 0px; padding: 0px;\"><h3 class=\"feedback-header faculty-answer\" style=\"margin-bottom: 16px; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-kerning: auto; font-optical-sizing: auto; font-feature-settings: normal; font-variation-settings: normal; font-weight: 400; font-stretch: normal; font-size: 16px; line-height: 28px; font-family: Roboto, 'Helvetica Neue', sans-serif; color: #05a660; letter-spacing: normal;\">Accepted Answers:<\/h3><div class=\"faculty-answer\" style=\"margin: 0px; padding: 0px; color: #05a660;\">(Type: Range) 0.17,0.23<\/div><\/div><\/div><\/div><\/div><div class=\"qt-points\" style=\"margin: 0px; padding: 0px; float: right; font-weight: bold; text-align: right;\"><em style=\"margin: 0px; padding: 0px;\">1 point<\/em><\/div><\/div><div class=\"qt-feedback qt-hidden\" style=\"margin: 0px; padding: 0px;\" role=\"alert\">\u00a0<\/div><\/div><\/div><p><br style=\"margin: 0px; padding: 0px; font-family: sans-serif; color: rgba(0, 0, 0, 0.87); font-size: 14px; background-color: #fafafc;\" \/><br style=\"margin: 0px; padding: 0px; font-family: sans-serif; color: rgba(0, 0, 0, 0.87); font-size: 14px; background-color: #fafafc;\" \/><\/p><div style=\"margin: 0px; padding: 0px; font-family: sans-serif; color: rgba(0, 0, 0, 0.87); font-size: 14px; background-color: #fafafc;\"><div id=\"mW8A7oOabJYn\" class=\"qt-question-group\" style=\"margin: 0px; padding: 0px;\"><div class=\"qt-introduction\" style=\"margin: 0px 0px 8px; padding: 0px; font-size: 1.6rem;\"><span style=\"margin: 0px; padding: 0px; font-weight: bolder;\">7th Question is the common data. Use the data in the question 7 to answer from Question number 8 to question number 10.<\/span><\/div><div class=\"gcb-cols gcb-question-counter-increment gcb-question-row\" style=\"margin: 0px 0px 16px; padding: 2rem; counter-increment: question-number 1; background-color: #ffffff; box-shadow: #e1e1e1 1px 1px 1px;\"><div class=\"gcb-col-counters gcb-show-question-counter\" style=\"margin: 0px; padding: 0px 5px 0px 0px; float: left;\">\u00a0<\/div><div id=\"mW8A7oOabJYn.0.6694465439793152\" class=\"qt-sa-question qt-embedded\" style=\"margin: 0px; padding: 0px;\"><div class=\"qt-question\" style=\"margin: 0px; padding: 0px;\">Two researchers adopted different sampling techniques while investigating the same group of students to find the number of students falling in different intelligence levels. The results are given in Table Q8.1.G:<center style=\"margin: 0px; padding: 0px;\"><table class=\"content-table\" style=\"margin-top: 25px; margin-bottom: 25px; padding: 0px; caption-side: bottom; border-collapse: collapse; font-size: 0.9em; min-width: 400px; border-radius: 5px 5px 0px 0px; overflow: hidden; box-shadow: rgba(0, 0, 0, 0.15) 0px 0px 20px;\"><thead style=\"margin: 0px; padding: 0px; border-width: 0px; border-image: initial;\"><tr style=\"margin: 0px; padding: 0px; border-width: 0px; border-image: initial; background-color: #009879; color: #ffffff; font-weight: bold;\"><th style=\"margin: 0px; padding: 12px 15px; text-align: center; border-color: inherit; border-width: 0px; border-image: initial;\">Researcher<\/th><th style=\"margin: 0px; padding: 12px 15px; text-align: center; border-color: inherit; border-width: 0px; border-image: initial;\" colspan=\"3\">No. of students in each level<\/th><\/tr><\/thead><tbody style=\"margin: 0px; padding: 0px; border-width: 0px; border-image: initial;\"><tr style=\"margin: 0px; padding: 0px; border-width: 0px 0px 1px; border-bottom-style: solid; border-bottom-color: #dddddd; border-image: initial;\"><td style=\"margin: 0px; padding: 12px 15px; border-color: inherit; border-bottom-style: solid; border-width: 0px; border-image: initial; text-align: center;\">\u00a0<\/td><td style=\"margin: 0px; padding: 12px 15px; border-color: inherit; border-bottom-style: solid; border-width: 0px; border-image: initial; text-align: center;\">Below Avg.<\/td><td style=\"margin: 0px; padding: 12px 15px; border-color: inherit; border-bottom-style: solid; border-width: 0px; border-image: initial; text-align: center;\">Avg.<\/td><td style=\"margin: 0px; padding: 12px 15px; border-color: inherit; border-bottom-style: solid; border-width: 0px; border-image: initial; text-align: center;\">Above Avg.<\/td><\/tr><tr style=\"margin: 0px; padding: 0px; border-width: 0px 0px 1px; border-bottom-style: solid; border-bottom-color: #dddddd; border-image: initial;\"><td style=\"margin: 0px; padding: 12px 15px; border-color: inherit; border-bottom-style: solid; border-width: 0px; border-image: initial; text-align: center;\">X<\/td><td style=\"margin: 0px; padding: 12px 15px; border-color: inherit; border-bottom-style: solid; border-width: 0px; border-image: initial; text-align: center;\">77<\/td><td style=\"margin: 0px; padding: 12px 15px; border-color: inherit; border-bottom-style: solid; border-width: 0px; border-image: initial; text-align: center;\">67<\/td><td style=\"margin: 0px; padding: 12px 15px; border-color: inherit; border-bottom-style: solid; border-width: 0px; border-image: initial; text-align: center;\">53<\/td><\/tr><tr style=\"margin: 0px; padding: 0px; border-width: 0px 0px 2px; border-bottom-style: solid; border-bottom-color: #009879; border-image: initial;\"><td style=\"margin: 0px; padding: 12px 15px; border-color: inherit; border-bottom-style: solid; border-width: 0px; border-image: initial; text-align: center;\">Y<\/td><td style=\"margin: 0px; padding: 12px 15px; border-color: inherit; border-bottom-style: solid; border-width: 0px; border-image: initial; text-align: center;\">50<\/td><td style=\"margin: 0px; padding: 12px 15px; border-color: inherit; border-bottom-style: solid; border-width: 0px; border-image: initial; text-align: center;\">19<\/td><td style=\"margin: 0px; padding: 12px 15px; border-color: inherit; border-bottom-style: solid; border-width: 0px; border-image: initial; text-align: center;\">26<\/td><\/tr><\/tbody><caption style=\"margin: 0px; padding: 0.5rem 0px; color: #6c757d; text-align: left;\" align=\"bottom\">Table Q8.1.G: Intelligence Level<\/caption><\/table><\/center>Are you able to see all the six values in a contigency Table Q8.1.G?(Type 0 for No and type 1 for Yes)<\/div><div class=\"qt-response\" style=\"margin: 0px; padding: 0px;\">\u00a0<\/div><div class=\"qt-feedback\" style=\"margin: 0px; padding: 0px;\" role=\"alert\"><div style=\"margin: 0px; padding: 0px;\"><h3 class=\"feedback-header\" style=\"margin-bottom: 16px; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-kerning: auto; font-optical-sizing: auto; font-feature-settings: normal; font-variation-settings: normal; font-weight: 400; font-stretch: normal; font-size: 16px; line-height: 28px; font-family: Roboto, 'Helvetica Neue', sans-serif; letter-spacing: normal;\">\u00a0<\/h3><div style=\"margin: 0px; padding: 0px;\"><h3 class=\"feedback-header faculty-answer\" style=\"margin-bottom: 16px; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-kerning: auto; font-optical-sizing: auto; font-feature-settings: normal; font-variation-settings: normal; font-weight: 400; font-stretch: normal; font-size: 16px; line-height: 28px; font-family: Roboto, 'Helvetica Neue', sans-serif; color: #05a660; letter-spacing: normal;\">Accepted Answers:<\/h3><div class=\"faculty-answer\" style=\"margin: 0px; padding: 0px; color: #05a660;\">(Type: Numeric) 1<\/div><\/div><\/div><\/div><\/div><div class=\"qt-points\" style=\"margin: 0px; padding: 0px; float: right; font-weight: bold; text-align: right;\"><em style=\"margin: 0px; padding: 0px;\">0 points<\/em><\/div><\/div><div class=\"gcb-cols gcb-question-counter-increment gcb-question-row\" style=\"margin: 0px 0px 16px; padding: 2rem; counter-increment: question-number 1; background-color: #ffffff; box-shadow: #e1e1e1 1px 1px 1px;\"><div class=\"gcb-col-counters gcb-show-question-counter\" style=\"margin: 0px; padding: 0px 5px 0px 0px; float: left;\">\u00a0<\/div><div id=\"mW8A7oOabJYn.1.6300527449079808\" class=\"qt-sa-question qt-embedded\" style=\"margin: 0px; padding: 0px;\"><div class=\"qt-question\" style=\"margin: 0px; padding: 0px;\">What is the probability that a student falls in below average level? (Enter the answer correct to 2 decimal accuracy)<\/div><div class=\"qt-feedback\" style=\"margin: 0px; padding: 0px;\" role=\"alert\"><div style=\"margin: 0px; padding: 0px;\"><h3 class=\"feedback-header\" style=\"margin-bottom: 16px; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-kerning: auto; font-optical-sizing: auto; font-feature-settings: normal; font-variation-settings: normal; font-weight: 400; font-stretch: normal; font-size: 16px; line-height: 28px; font-family: Roboto, 'Helvetica Neue', sans-serif; letter-spacing: normal;\">\u00a0<\/h3><div style=\"margin: 0px; padding: 0px;\"><h3 class=\"feedback-header faculty-answer\" style=\"margin-bottom: 16px; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-kerning: auto; font-optical-sizing: auto; font-feature-settings: normal; font-variation-settings: normal; font-weight: 400; font-stretch: normal; font-size: 16px; line-height: 28px; font-family: Roboto, 'Helvetica Neue', sans-serif; color: #05a660; letter-spacing: normal;\">Accepted Answers:<\/h3><div class=\"faculty-answer\" style=\"margin: 0px; padding: 0px; color: #05a660;\">(Type: Range) 0.4,0.46<\/div><\/div><\/div><\/div><\/div><div class=\"qt-points\" style=\"margin: 0px; padding: 0px; float: right; font-weight: bold; text-align: right;\"><em style=\"margin: 0px; padding: 0px;\">1 point<\/em><\/div><\/div><div class=\"gcb-cols gcb-question-counter-increment gcb-question-row\" style=\"margin: 0px 0px 16px; padding: 2rem; counter-increment: question-number 1; background-color: #ffffff; box-shadow: #e1e1e1 1px 1px 1px;\"><div class=\"gcb-col-counters gcb-show-question-counter\" style=\"margin: 0px; padding: 0px 5px 0px 0px; float: left;\">\u00a0<\/div><div id=\"mW8A7oOabJYn.2.4986620625289216\" class=\"qt-sa-question qt-embedded\" style=\"margin: 0px; padding: 0px;\"><div class=\"qt-question\" style=\"margin: 0px; padding: 0px;\">What is the probability that a student is of average level given that the investigation is done by researcher Y? (Enter the answer correct to 2 decimal accuracy)<\/div><div class=\"qt-response\" style=\"margin: 0px; padding: 0px;\">\u00a0<\/div><div class=\"qt-feedback\" style=\"margin: 0px; padding: 0px;\" role=\"alert\"><div style=\"margin: 0px; padding: 0px;\"><h3 class=\"feedback-header\" style=\"margin-bottom: 16px; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-kerning: auto; font-optical-sizing: auto; font-feature-settings: normal; font-variation-settings: normal; font-weight: 400; font-stretch: normal; font-size: 16px; line-height: 28px; font-family: Roboto, 'Helvetica Neue', sans-serif; letter-spacing: normal;\">\u00a0<\/h3><div style=\"margin: 0px; padding: 0px;\"><h3 class=\"feedback-header faculty-answer\" style=\"margin-bottom: 16px; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-kerning: auto; font-optical-sizing: auto; font-feature-settings: normal; font-variation-settings: normal; font-weight: 400; font-stretch: normal; font-size: 16px; line-height: 28px; font-family: Roboto, 'Helvetica Neue', sans-serif; color: #05a660; letter-spacing: normal;\">Accepted Answers:<\/h3><div class=\"faculty-answer\" style=\"margin: 0px; padding: 0px; color: #05a660;\">(Type: Range) 0.17,0.23<\/div><\/div><\/div><\/div><\/div><div class=\"qt-points\" style=\"margin: 0px; padding: 0px; float: right; font-weight: bold; text-align: right;\"><em style=\"margin: 0px; padding: 0px;\">1 point<\/em><\/div><\/div><div class=\"gcb-cols gcb-question-counter-increment gcb-question-row\" style=\"margin: 0px 0px 16px; padding: 2rem; counter-increment: question-number 1; background-color: #ffffff; box-shadow: #e1e1e1 1px 1px 1px;\"><div class=\"gcb-col-counters gcb-show-question-counter\" style=\"margin: 0px; padding: 0px 5px 0px 0px; float: left;\">\u00a0<\/div><div id=\"mW8A7oOabJYn.3.6085641645326336\" class=\"qt-sa-question qt-embedded\" style=\"margin: 0px; padding: 0px;\"><div class=\"qt-question\" style=\"margin: 0px; padding: 0px;\">What is the probability that investigation is done by researcher X given that the student is of below average level? (Enter the answer correct to 2 decimal accuracy)<\/div><div class=\"qt-response\" style=\"margin: 0px; padding: 0px;\">\u00a0<\/div><div class=\"qt-feedback\" style=\"margin: 0px; padding: 0px;\" role=\"alert\"><div style=\"margin: 0px; padding: 0px;\"><h3 class=\"feedback-header\" style=\"margin-bottom: 16px; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-kerning: auto; font-optical-sizing: auto; font-feature-settings: normal; font-variation-settings: normal; font-weight: 400; font-stretch: normal; font-size: 16px; line-height: 28px; font-family: Roboto, 'Helvetica Neue', sans-serif; letter-spacing: normal;\">\u00a0<\/h3><div style=\"margin: 0px; padding: 0px;\"><h3 class=\"feedback-header faculty-answer\" style=\"margin-bottom: 16px; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-kerning: auto; font-optical-sizing: auto; font-feature-settings: normal; font-variation-settings: normal; font-weight: 400; font-stretch: normal; font-size: 16px; line-height: 28px; font-family: Roboto, 'Helvetica Neue', sans-serif; color: #05a660; letter-spacing: normal;\">Accepted Answers:<\/h3><div class=\"faculty-answer\" style=\"margin: 0px; padding: 0px; color: #05a660;\">(Type: Range) 0.58,0.64<\/div><\/div><\/div><\/div><\/div><div class=\"qt-points\" style=\"margin: 0px; padding: 0px; float: right; font-weight: bold; text-align: right;\"><em style=\"margin: 0px; padding: 0px;\">1 point<\/em><\/div><\/div><div class=\"qt-feedback qt-hidden\" style=\"margin: 0px; padding: 0px;\" role=\"alert\">\u00a0<\/div><\/div><\/div><p>\u00a0<\/p><div style=\"margin: 0px; padding: 0px; font-family: sans-serif; color: rgba(0, 0, 0, 0.87); font-size: 14px; background-color: #fafafc;\"><div id=\"D5fbBKwA56j4\" class=\"qt-question-group\" style=\"margin: 0px; padding: 0px;\"><div class=\"qt-introduction\" style=\"margin: 0px 0px 8px; padding: 0px; font-size: 1.6rem;\">\u00a0<\/div><div class=\"gcb-cols gcb-question-counter-increment gcb-question-row\" style=\"margin: 0px 0px 16px; padding: 2rem; counter-increment: question-number 1; background-color: #ffffff; box-shadow: #e1e1e1 1px 1px 1px;\"><div class=\"gcb-col-counters gcb-show-question-counter\" style=\"margin: 0px; padding: 0px 5px 0px 0px; float: left;\">\u00a0<\/div><div id=\"D5fbBKwA56j4.0.6315080383725568\" class=\"qt-mc-question qt-embedded\" style=\"margin: 0px; padding: 0px;\"><div class=\"qt-points\" style=\"margin: 0px; padding: 0px; float: right; font-weight: bold; text-align: right;\"><em style=\"margin: 0px; padding: 0px;\">1 point<\/em><\/div><div class=\"qt-question\" style=\"margin: 0px; padding: 0px;\"><div style=\"margin: 0px; padding: 0px;\">\u00a0<\/div>During the monsoon, it rains one-third of the days and affects students travel to school. The probability that there will be heavy traffic on a rainy day is\u00a0<span class=\"inline-equation\" style=\"margin: 0px; padding: 0px;\"><span class=\"katex\" style=\"margin: 0px; padding: 0px; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-kerning: auto; font-optical-sizing: auto; font-feature-settings: normal; font-variation-settings: normal; font-stretch: normal; font-size: 1.21em; line-height: 1.2; font-family: KaTeX_Main, 'Times New Roman', serif; text-rendering: auto;\"><span class=\"katex-mathml\" style=\"margin: 0px; padding: 0px; font-family: sans-serif; border: 0px; clip: rect(1px, 1px, 1px, 1px); height: 1px; overflow: hidden; position: absolute; width: 1px;\">0.5<\/span><span class=\"katex-html\" style=\"margin: 0px; padding: 0px; font-family: sans-serif; border-color: currentcolor;\" aria-hidden=\"true\"><span class=\"base\" style=\"margin: 0px; padding: 0px; border-color: currentcolor; position: relative; text-wrap: nowrap; width: min-content; display: inline-block;\"><span class=\"mord\" style=\"margin: 0px; padding: 0px; border-color: currentcolor;\">0.5<\/span><\/span><\/span><\/span><\/span>\u00a0and on a non-rainy day is\u00a0<span class=\"inline-equation\" style=\"margin: 0px; padding: 0px;\"><span class=\"katex\" style=\"margin: 0px; padding: 0px; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-kerning: auto; font-optical-sizing: auto; font-feature-settings: normal; font-variation-settings: normal; font-stretch: normal; font-size: 1.21em; line-height: 1.2; font-family: KaTeX_Main, 'Times New Roman', serif; text-rendering: auto;\"><span class=\"katex-mathml\" style=\"margin: 0px; padding: 0px; font-family: sans-serif; border: 0px; clip: rect(1px, 1px, 1px, 1px); height: 1px; overflow: hidden; position: absolute; width: 1px;\">0.25<\/span><span class=\"katex-html\" style=\"margin: 0px; padding: 0px; font-family: sans-serif; border-color: currentcolor;\" aria-hidden=\"true\"><span class=\"base\" style=\"margin: 0px; padding: 0px; border-color: currentcolor; position: relative; text-wrap: nowrap; width: min-content; display: inline-block;\"><span class=\"mord\" style=\"margin: 0px; padding: 0px; border-color: currentcolor;\">0.25<\/span><\/span><\/span><\/span><\/span>. If it rains and there is heavy traffic, the probability of a student arriving late to school is 0.5. If it is a clear day and there is no traffic, this probability is reduced by\u00a0<span class=\"inline-equation\" style=\"margin: 0px; padding: 0px;\"><span class=\"katex\" style=\"margin: 0px; padding: 0px; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-kerning: auto; font-optical-sizing: auto; font-feature-settings: normal; font-variation-settings: normal; font-stretch: normal; font-size: 1.21em; line-height: 1.2; font-family: KaTeX_Main, 'Times New Roman', serif; text-rendering: auto;\"><span class=\"katex-mathml\" style=\"margin: 0px; padding: 0px; font-family: sans-serif; border: 0px; clip: rect(1px, 1px, 1px, 1px); height: 1px; overflow: hidden; position: absolute; width: 1px;\">38<\/span><span class=\"katex-html\" style=\"margin: 0px; padding: 0px; font-family: sans-serif; border-color: currentcolor;\" aria-hidden=\"true\"><span class=\"base\" style=\"margin: 0px; padding: 0px; border-color: currentcolor; position: relative; text-wrap: nowrap; width: min-content; display: inline-block;\"><span class=\"mord\" style=\"margin: 0px; padding: 0px; border-color: currentcolor;\"><span class=\"mfrac\" style=\"margin: 0px; padding: 0px; border-color: currentcolor;\"><span class=\"vlist-t vlist-t2\" style=\"margin: 0px -2px 0px 0px; padding: 0px; border-color: currentcolor; border-collapse: collapse; display: inline-table; table-layout: fixed;\"><span class=\"vlist-r\" style=\"margin: 0px; padding: 0px; border-color: currentcolor; display: table-row; text-align: center;\"><span class=\"vlist\" style=\"margin: 0px; padding: 0px; border-color: currentcolor; display: table-cell; position: relative; vertical-align: bottom; height: 1.32144em;\"><span class=\"\" style=\"margin: 0px; padding: 0px; border-color: currentcolor; display: block; height: 0px; position: relative; top: -2.314em;\"><span class=\"mord\" style=\"margin: 0px; padding: 0px; border-color: currentcolor; display: inline-block;\"><span class=\"mord\" style=\"margin: 0px; padding: 0px; border-color: currentcolor;\">8<\/span><\/span><\/span><span class=\"\" style=\"margin: 0px; padding: 0px; border-color: currentcolor; display: block; height: 0px; position: relative; top: -3.677em;\"><span class=\"mord\" style=\"margin: 0px; padding: 0px; border-color: currentcolor; display: inline-block;\"><span class=\"mord\" style=\"margin: 0px; padding: 0px; border-color: currentcolor;\">3<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>. In other possible situations, the probability of a student reaching school late\u00a0<span class=\"inline-equation\" style=\"margin: 0px; padding: 0px;\"><span class=\"katex\" style=\"margin: 0px; padding: 0px; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-kerning: auto; font-optical-sizing: auto; font-feature-settings: normal; font-variation-settings: normal; font-stretch: normal; font-size: 1.21em; line-height: 1.2; font-family: KaTeX_Main, 'Times New Roman', serif; text-rendering: auto;\"><span class=\"katex-mathml\" style=\"margin: 0px; padding: 0px; font-family: sans-serif; border: 0px; clip: rect(1px, 1px, 1px, 1px); height: 1px; overflow: hidden; position: absolute; width: 1px;\">0.25<\/span><span class=\"katex-html\" style=\"margin: 0px; padding: 0px; font-family: sans-serif; border-color: currentcolor;\" aria-hidden=\"true\"><span class=\"base\" style=\"margin: 0px; padding: 0px; border-color: currentcolor; position: relative; text-wrap: nowrap; width: min-content; display: inline-block;\"><span class=\"mord\" style=\"margin: 0px; padding: 0px; border-color: currentcolor;\">0.25<\/span><\/span><\/span><\/span><\/span>. If on a randomly selected day, a student arrives late to school, then what is the probability that it rained that day?<br style=\"margin: 0px; padding: 0px;\" \/><br style=\"margin: 0px; padding: 0px;\" \/><div style=\"margin: 0px; padding: 0px;\">\u00a0<\/div>Hint: Consider the event as,<br style=\"margin: 0px; padding: 0px;\" \/><span class=\"inline-equation\" style=\"margin: 0px; padding: 0px;\"><span class=\"katex\" style=\"margin: 0px; padding: 0px; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-kerning: auto; font-optical-sizing: auto; font-feature-settings: normal; font-variation-settings: normal; font-stretch: normal; font-size: 1.21em; line-height: 1.2; font-family: KaTeX_Main, 'Times New Roman', serif; text-rendering: auto;\"><span class=\"katex-mathml\" style=\"margin: 0px; padding: 0px; font-family: sans-serif; border: 0px; clip: rect(1px, 1px, 1px, 1px); height: 1px; overflow: hidden; position: absolute; width: 1px;\">\ufffd<\/span><span class=\"katex-html\" style=\"margin: 0px; padding: 0px; font-family: sans-serif; border-color: currentcolor;\" aria-hidden=\"true\"><span class=\"base\" style=\"margin: 0px; padding: 0px; border-color: currentcolor; position: relative; text-wrap: nowrap; width: min-content; display: inline-block;\"><span class=\"mord mathnormal\" style=\"margin: 0px 0.08125em 0px 0px; padding: 0px; font-family: KaTeX_Math; border-color: currentcolor; font-style: italic;\">H<\/span><\/span><\/span><\/span><\/span>= There is heavy traffic<br style=\"margin: 0px; padding: 0px;\" \/><span class=\"inline-equation\" style=\"margin: 0px; padding: 0px;\"><span class=\"katex\" style=\"margin: 0px; padding: 0px; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-kerning: auto; font-optical-sizing: auto; font-feature-settings: normal; font-variation-settings: normal; font-stretch: normal; font-size: 1.21em; line-height: 1.2; font-family: KaTeX_Main, 'Times New Roman', serif; text-rendering: auto;\"><span class=\"katex-mathml\" style=\"margin: 0px; padding: 0px; font-family: sans-serif; border: 0px; clip: rect(1px, 1px, 1px, 1px); height: 1px; overflow: hidden; position: absolute; width: 1px;\">\ufffd\ufffd<\/span><span class=\"katex-html\" style=\"margin: 0px; padding: 0px; font-family: sans-serif; border-color: currentcolor;\" aria-hidden=\"true\"><span class=\"base\" style=\"margin: 0px; padding: 0px; border-color: currentcolor; position: relative; text-wrap: nowrap; width: min-content; display: inline-block;\"><span class=\"mord\" style=\"margin: 0px; padding: 0px; border-color: currentcolor;\"><span class=\"mord mathnormal\" style=\"margin: 0px 0.08125em 0px 0px; padding: 0px; font-family: KaTeX_Math; border-color: currentcolor; font-style: italic;\">H<\/span><span class=\"msupsub\" style=\"margin: 0px; padding: 0px; border-color: currentcolor;\"><span class=\"vlist-t\" style=\"margin: 0px; padding: 0px; border-color: currentcolor; border-collapse: collapse; display: inline-table; table-layout: fixed;\"><span class=\"vlist-r\" style=\"margin: 0px; padding: 0px; border-color: currentcolor; display: table-row;\"><span class=\"vlist\" style=\"margin: 0px; padding: 0px; border-color: currentcolor; display: table-cell; position: relative; vertical-align: bottom; height: 0.664392em;\"><span class=\"\" style=\"margin: 0px 0.05em 0px 0px; padding: 0px; border-color: currentcolor; display: block; height: 0px; position: relative; top: -3.063em;\"><span class=\"sizing reset-size6 size3 mtight\" style=\"margin: 0px; padding: 0px; border-color: currentcolor; display: inline-block; font-size: 0.7em;\"><span class=\"mord mathnormal mtight\" style=\"margin: 0px; padding: 0px; font-family: KaTeX_Math; border-color: currentcolor; font-style: italic;\">c<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>= There is no traffic.<div style=\"margin: 0px; padding: 0px;\">\u00a0<\/div><\/div><div class=\"qt-choices\" style=\"margin: 16px 0px 0px; padding: 0px;\"><div class=\"gcb-mcq-choice\" style=\"margin: 0px 0px 18px; padding: 0px; display: flex; align-items: center;\"><input id=\"D5fbBKwA56j4.0.6315080383725568.0\" style=\"padding: 0px; font-family: inherit; font-size: inherit; width: 15px; height: 15px; background-color: #05a660;\" disabled=\"disabled\" name=\"D5fbBKwA56j4.0.6315080383725568\" type=\"radio\" data-index=\"0\" \/><div style=\"margin: 0px; padding: 0px;\">\u00a0<\/div><label style=\"margin: 0px 0px 0px 16px; padding: 0px; font-size: 16px;\" for=\"D5fbBKwA56j4.0.6315080383725568.0\"><label style=\"margin: 0px 0px 0px 16px; padding: 0px; font-size: 16px;\" for=\"D5fbBKwA56j4.0.6315080383725568.0\"><span class=\"inline-equation\" style=\"margin: 0px; padding: 0px;\"><span class=\"katex\" style=\"margin: 0px; padding: 0px; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-kerning: auto; font-optical-sizing: auto; font-feature-settings: normal; font-variation-settings: normal; font-stretch: normal; font-size: 1.21em; line-height: 1.2; font-family: KaTeX_Main, 'Times New Roman', serif; text-rendering: auto;\"><span class=\"katex-mathml\" style=\"margin: 0px; padding: 0px; font-family: sans-serif; border: 0px; clip: rect(1px, 1px, 1px, 1px); height: 1px; overflow: hidden; position: absolute; width: 1px;\">18<\/span><span class=\"katex-html\" style=\"margin: 0px; padding: 0px; font-family: sans-serif; border-color: currentcolor;\" aria-hidden=\"true\"><span class=\"base\" style=\"margin: 0px; padding: 0px; border-color: currentcolor; position: relative; text-wrap: nowrap; width: min-content; display: inline-block;\"><span class=\"mord\" style=\"margin: 0px; padding: 0px; border-color: currentcolor;\"><span class=\"mfrac\" style=\"margin: 0px; padding: 0px; border-color: currentcolor;\"><span class=\"vlist-t vlist-t2\" style=\"margin: 0px -2px 0px 0px; padding: 0px; border-color: currentcolor; border-collapse: collapse; display: inline-table; table-layout: fixed;\"><span class=\"vlist-r\" style=\"margin: 0px; padding: 0px; border-color: currentcolor; display: table-row; text-align: center;\"><span class=\"vlist\" style=\"margin: 0px; padding: 0px; border-color: currentcolor; display: table-cell; position: relative; vertical-align: bottom; height: 1.32144em;\"><span class=\"\" style=\"margin: 0px; padding: 0px; border-color: currentcolor; display: block; height: 0px; position: relative; top: -2.314em;\"><span class=\"mord\" style=\"margin: 0px; padding: 0px; border-color: currentcolor; display: inline-block;\"><span class=\"mord\" style=\"margin: 0px; padding: 0px; border-color: currentcolor;\">8<\/span><\/span><\/span><span class=\"\" style=\"margin: 0px; padding: 0px; border-color: currentcolor; display: block; height: 0px; position: relative; top: -3.677em;\"><span class=\"mord\" style=\"margin: 0px; padding: 0px; border-color: currentcolor; display: inline-block;\"><span class=\"mord\" style=\"margin: 0px; padding: 0px; border-color: currentcolor;\">1<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/label><\/label><div style=\"margin: 0px; padding: 0px;\">\u00a0<\/div><\/div><div class=\"gcb-mcq-choice\" style=\"margin: 0px 0px 18px; padding: 0px; display: flex; align-items: center;\"><input id=\"D5fbBKwA56j4.0.6315080383725568.1\" style=\"padding: 0px; font-family: inherit; font-size: inherit; width: 15px; height: 15px; background-color: #05a660;\" disabled=\"disabled\" name=\"D5fbBKwA56j4.0.6315080383725568\" type=\"radio\" data-index=\"1\" \/><div style=\"margin: 0px; padding: 0px;\">\u00a0<\/div><label style=\"margin: 0px 0px 0px 16px; padding: 0px; font-size: 16px;\" for=\"D5fbBKwA56j4.0.6315080383725568.1\"><label style=\"margin: 0px 0px 0px 16px; padding: 0px; font-size: 16px;\" for=\"D5fbBKwA56j4.0.6315080383725568.1\"><span class=\"inline-equation\" style=\"margin: 0px; padding: 0px;\"><span class=\"katex\" style=\"margin: 0px; padding: 0px; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-kerning: auto; font-optical-sizing: auto; font-feature-settings: normal; font-variation-settings: normal; font-stretch: normal; font-size: 1.21em; line-height: 1.2; font-family: KaTeX_Main, 'Times New Roman', serif; text-rendering: auto;\"><span class=\"katex-mathml\" style=\"margin: 0px; padding: 0px; font-family: sans-serif; border: 0px; clip: rect(1px, 1px, 1px, 1px); height: 1px; overflow: hidden; position: absolute; width: 1px;\">611<\/span><span class=\"katex-html\" style=\"margin: 0px; padding: 0px; font-family: sans-serif; border-color: currentcolor;\" aria-hidden=\"true\"><span class=\"base\" style=\"margin: 0px; padding: 0px; border-color: currentcolor; position: relative; text-wrap: nowrap; width: min-content; display: inline-block;\"><span class=\"mord\" style=\"margin: 0px; padding: 0px; border-color: currentcolor;\"><span class=\"mfrac\" style=\"margin: 0px; padding: 0px; border-color: currentcolor;\"><span class=\"vlist-t vlist-t2\" style=\"margin: 0px -2px 0px 0px; padding: 0px; border-color: currentcolor; border-collapse: collapse; display: inline-table; table-layout: fixed;\"><span class=\"vlist-r\" style=\"margin: 0px; padding: 0px; border-color: currentcolor; display: table-row; text-align: center;\"><span class=\"vlist\" style=\"margin: 0px; padding: 0px; border-color: currentcolor; display: table-cell; position: relative; vertical-align: bottom; height: 1.32144em;\"><span class=\"\" style=\"margin: 0px; padding: 0px; border-color: currentcolor; display: block; height: 0px; position: relative; top: -2.314em;\"><span class=\"mord\" style=\"margin: 0px; padding: 0px; border-color: currentcolor; display: inline-block;\"><span class=\"mord\" style=\"margin: 0px; padding: 0px; border-color: currentcolor;\">11<\/span><\/span><\/span><span class=\"\" style=\"margin: 0px; padding: 0px; border-color: currentcolor; display: block; height: 0px; position: relative; top: -3.677em;\"><span class=\"mord\" style=\"margin: 0px; padding: 0px; border-color: currentcolor; display: inline-block;\"><span class=\"mord\" style=\"margin: 0px; padding: 0px; border-color: currentcolor;\">6<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/label><\/label><div style=\"margin: 0px; padding: 0px;\">\u00a0<\/div><\/div><div class=\"gcb-mcq-choice\" style=\"margin: 0px 0px 18px; padding: 0px; display: flex; align-items: center;\"><input id=\"D5fbBKwA56j4.0.6315080383725568.2\" style=\"padding: 0px; font-family: inherit; font-size: inherit; width: 15px; height: 15px; background-color: #05a660;\" disabled=\"disabled\" name=\"D5fbBKwA56j4.0.6315080383725568\" type=\"radio\" data-index=\"2\" \/><div style=\"margin: 0px; padding: 0px;\">\u00a0<\/div><label style=\"margin: 0px 0px 0px 16px; padding: 0px; font-size: 16px;\" for=\"D5fbBKwA56j4.0.6315080383725568.2\"><label style=\"margin: 0px 0px 0px 16px; padding: 0px; font-size: 16px;\" for=\"D5fbBKwA56j4.0.6315080383725568.2\"><span class=\"inline-equation\" style=\"margin: 0px; padding: 0px;\"><span class=\"katex\" style=\"margin: 0px; padding: 0px; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-kerning: auto; font-optical-sizing: auto; font-feature-settings: normal; font-variation-settings: normal; font-stretch: normal; font-size: 1.21em; line-height: 1.2; font-family: KaTeX_Main, 'Times New Roman', serif; text-rendering: auto;\"><span class=\"katex-mathml\" style=\"margin: 0px; padding: 0px; font-family: sans-serif; border: 0px; clip: rect(1px, 1px, 1px, 1px); height: 1px; overflow: hidden; position: absolute; width: 1px;\">1148<\/span><span class=\"katex-html\" style=\"margin: 0px; padding: 0px; font-family: sans-serif; border-color: currentcolor;\" aria-hidden=\"true\"><span class=\"base\" style=\"margin: 0px; padding: 0px; border-color: currentcolor; position: relative; text-wrap: nowrap; width: min-content; display: inline-block;\"><span class=\"mord\" style=\"margin: 0px; padding: 0px; border-color: currentcolor;\"><span class=\"mfrac\" style=\"margin: 0px; padding: 0px; border-color: currentcolor;\"><span class=\"vlist-t vlist-t2\" style=\"margin: 0px -2px 0px 0px; padding: 0px; border-color: currentcolor; border-collapse: collapse; display: inline-table; table-layout: fixed;\"><span class=\"vlist-r\" style=\"margin: 0px; padding: 0px; border-color: currentcolor; display: table-row; text-align: center;\"><span class=\"vlist\" style=\"margin: 0px; padding: 0px; border-color: currentcolor; display: table-cell; position: relative; vertical-align: bottom; height: 1.32144em;\"><span class=\"\" style=\"margin: 0px; padding: 0px; border-color: currentcolor; display: block; height: 0px; position: relative; top: -2.314em;\"><span class=\"mord\" style=\"margin: 0px; padding: 0px; border-color: currentcolor; display: inline-block;\"><span class=\"mord\" style=\"margin: 0px; padding: 0px; border-color: currentcolor;\">48<\/span><\/span><\/span><span class=\"\" style=\"margin: 0px; padding: 0px; border-color: currentcolor; display: block; height: 0px; position: relative; top: -3.677em;\"><span class=\"mord\" style=\"margin: 0px; padding: 0px; border-color: currentcolor; display: inline-block;\"><span class=\"mord\" style=\"margin: 0px; padding: 0px; border-color: currentcolor;\">11<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/label><\/label><div style=\"margin: 0px; padding: 0px;\">\u00a0<\/div><\/div><div class=\"gcb-mcq-choice\" style=\"margin: 0px 0px 18px; padding: 0px; display: flex; align-items: center;\"><input id=\"D5fbBKwA56j4.0.6315080383725568.3\" style=\"padding: 0px; font-family: inherit; font-size: inherit; width: 15px; height: 15px; background-color: #05a660;\" disabled=\"disabled\" name=\"D5fbBKwA56j4.0.6315080383725568\" type=\"radio\" data-index=\"3\" \/><label style=\"margin: 0px 0px 0px 16px; padding: 0px; font-size: 16px;\" for=\"D5fbBKwA56j4.0.6315080383725568.3\">None of the above<\/label><\/div><\/div><div class=\"qt-feedback\" style=\"margin: 0px; padding: 0px;\" role=\"alert\"><div style=\"margin: 0px; padding: 0px;\"><h3 class=\"feedback-header\" style=\"margin-bottom: 16px; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-kerning: auto; font-optical-sizing: auto; font-feature-settings: normal; font-variation-settings: normal; font-weight: 400; font-stretch: normal; font-size: 16px; line-height: 28px; font-family: Roboto, 'Helvetica Neue', sans-serif; letter-spacing: normal;\">\u00a0<\/h3><h3 class=\"feedback-header faculty-answer\" style=\"margin-bottom: 16px; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-kerning: auto; font-optical-sizing: auto; font-feature-settings: normal; font-variation-settings: normal; font-weight: 400; font-stretch: normal; font-size: 16px; line-height: 28px; font-family: Roboto, 'Helvetica Neue', sans-serif; color: #05a660; letter-spacing: normal;\">Accepted Answers:<\/h3><div class=\"faculty-answer\" style=\"margin: 0px; padding: 0px; color: #05a660;\"><div style=\"margin: 0px; padding: 0px;\"><div style=\"margin: 0px; padding: 0px;\"><div style=\"margin: 0px; padding: 0px;\">\u00a0<\/div><label style=\"margin: 0px; padding: 0px;\" for=\"D5fbBKwA56j4.0.6315080383725568.1\"><label style=\"margin: 0px; padding: 0px;\" for=\"D5fbBKwA56j4.0.6315080383725568.1\"><span class=\"inline-equation\" style=\"margin: 0px; padding: 0px;\"><span class=\"katex\" style=\"margin: 0px; padding: 0px; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-kerning: auto; font-optical-sizing: auto; font-feature-settings: normal; font-variation-settings: normal; font-stretch: normal; font-size: 1.21em; line-height: 1.2; font-family: KaTeX_Main, 'Times New Roman', serif; text-rendering: auto;\"><span class=\"katex-mathml\" style=\"margin: 0px; padding: 0px; font-family: sans-serif; border: 0px; clip: rect(1px, 1px, 1px, 1px); height: 1px; overflow: hidden; position: absolute; width: 1px;\">611<\/span><span class=\"katex-html\" style=\"margin: 0px; padding: 0px; font-family: sans-serif; border-color: currentcolor;\" aria-hidden=\"true\"><span class=\"base\" style=\"margin: 0px; padding: 0px; border-color: currentcolor; position: relative; text-wrap: nowrap; width: min-content; display: inline-block;\"><span class=\"mord\" style=\"margin: 0px; padding: 0px; border-color: currentcolor;\"><span class=\"mfrac\" style=\"margin: 0px; padding: 0px; border-color: currentcolor;\"><span class=\"vlist-t vlist-t2\" style=\"margin: 0px -2px 0px 0px; padding: 0px; border-color: currentcolor; border-collapse: collapse; display: inline-table; table-layout: fixed;\"><span class=\"vlist-r\" style=\"margin: 0px; padding: 0px; border-color: currentcolor; display: table-row; text-align: center;\"><span class=\"vlist\" style=\"margin: 0px; padding: 0px; border-color: currentcolor; display: table-cell; position: relative; vertical-align: bottom; height: 1.32144em;\"><span class=\"\" style=\"margin: 0px; padding: 0px; border-color: currentcolor; display: block; height: 0px; position: relative; top: -2.314em;\"><span class=\"mord\" style=\"margin: 0px; padding: 0px; border-color: currentcolor; display: inline-block;\"><span class=\"mord\" style=\"margin: 0px; padding: 0px; border-color: currentcolor;\">11<\/span><\/span><\/span><span class=\"\" style=\"margin: 0px; padding: 0px; border-color: currentcolor; display: block; height: 0px; position: relative; top: -3.677em;\"><span class=\"mord\" style=\"margin: 0px; padding: 0px; border-color: currentcolor; display: inline-block;\"><span class=\"mord\" style=\"margin: 0px; padding: 0px; border-color: currentcolor;\">6<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/label><\/label><div style=\"margin: 0px; padding: 0px;\">\u00a0<\/div><\/div><\/div><\/div><\/div><\/div><\/div><\/div><div class=\"gcb-cols gcb-question-counter-increment gcb-question-row\" style=\"margin: 0px 0px 16px; padding: 2rem; counter-increment: question-number 1; background-color: #ffffff; box-shadow: #e1e1e1 1px 1px 1px;\"><div class=\"gcb-col-counters gcb-show-question-counter\" style=\"margin: 0px; padding: 0px 5px 0px 0px; float: left;\">\u00a0<\/div><div id=\"D5fbBKwA56j4.1.6310520462245888\" class=\"qt-mc-question qt-embedded\" style=\"margin: 0px; padding: 0px;\"><div class=\"qt-points\" style=\"margin: 0px; padding: 0px; float: right; font-weight: bold; text-align: right;\"><em style=\"margin: 0px; padding: 0px;\">1 point<\/em><\/div><div class=\"qt-question\" style=\"margin: 0px; padding: 0px;\"><div style=\"margin: 0px; padding: 0px;\">\u00a0<\/div>There are two shops,\u00a0<span class=\"inline-equation\" style=\"margin: 0px; padding: 0px;\"><span class=\"katex\" style=\"margin: 0px; padding: 0px; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-kerning: auto; font-optical-sizing: auto; font-feature-settings: normal; font-variation-settings: normal; font-stretch: normal; font-size: 1.21em; line-height: 1.2; font-family: KaTeX_Main, 'Times New Roman', serif; text-rendering: auto;\"><span class=\"katex-mathml\" style=\"margin: 0px; padding: 0px; font-family: sans-serif; border: 0px; clip: rect(1px, 1px, 1px, 1px); height: 1px; overflow: hidden; position: absolute; width: 1px;\">\ufffd<\/span><span class=\"katex-html\" style=\"margin: 0px; padding: 0px; font-family: sans-serif; border-color: currentcolor;\" aria-hidden=\"true\"><span class=\"base\" style=\"margin: 0px; padding: 0px; border-color: currentcolor; position: relative; text-wrap: nowrap; width: min-content; display: inline-block;\"><span class=\"mord mathnormal\" style=\"margin: 0px; padding: 0px; font-family: KaTeX_Math; border-color: currentcolor; font-style: italic;\">A<\/span><\/span><\/span><\/span><\/span>\u00a0and\u00a0<span class=\"inline-equation\" style=\"margin: 0px; padding: 0px;\"><span class=\"katex\" style=\"margin: 0px; padding: 0px; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-kerning: auto; font-optical-sizing: auto; font-feature-settings: normal; font-variation-settings: normal; font-stretch: normal; font-size: 1.21em; line-height: 1.2; font-family: KaTeX_Main, 'Times New Roman', serif; text-rendering: auto;\"><span class=\"katex-mathml\" style=\"margin: 0px; padding: 0px; font-family: sans-serif; border: 0px; clip: rect(1px, 1px, 1px, 1px); height: 1px; overflow: hidden; position: absolute; width: 1px;\">\ufffd<\/span><span class=\"katex-html\" style=\"margin: 0px; padding: 0px; font-family: sans-serif; border-color: currentcolor;\" aria-hidden=\"true\"><span class=\"base\" style=\"margin: 0px; padding: 0px; border-color: currentcolor; position: relative; text-wrap: nowrap; width: min-content; display: inline-block;\"><span class=\"mord mathnormal\" style=\"margin: 0px 0.05017em 0px 0px; padding: 0px; font-family: KaTeX_Math; border-color: currentcolor; font-style: italic;\">B<\/span><\/span><\/span><\/span><\/span>, selling t-shirts in the market. Shop\u00a0<span class=\"inline-equation\" style=\"margin: 0px; padding: 0px;\"><span class=\"katex\" style=\"margin: 0px; padding: 0px; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-kerning: auto; font-optical-sizing: auto; font-feature-settings: normal; font-variation-settings: normal; font-stretch: normal; font-size: 1.21em; line-height: 1.2; font-family: KaTeX_Main, 'Times New Roman', serif; text-rendering: auto;\"><span class=\"katex-mathml\" style=\"margin: 0px; padding: 0px; font-family: sans-serif; border: 0px; clip: rect(1px, 1px, 1px, 1px); height: 1px; overflow: hidden; position: absolute; width: 1px;\">\ufffd<\/span><span class=\"katex-html\" style=\"margin: 0px; padding: 0px; font-family: sans-serif; border-color: currentcolor;\" aria-hidden=\"true\"><span class=\"base\" style=\"margin: 0px; padding: 0px; border-color: currentcolor; position: relative; text-wrap: nowrap; width: min-content; display: inline-block;\"><span class=\"mord mathnormal\" style=\"margin: 0px; padding: 0px; font-family: KaTeX_Math; border-color: currentcolor; font-style: italic;\">A<\/span><\/span><\/span><\/span><\/span>\u00a0has stock of\u00a0<span class=\"inline-equation\" style=\"margin: 0px; padding: 0px;\"><span class=\"katex\" style=\"margin: 0px; padding: 0px; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-kerning: auto; font-optical-sizing: auto; font-feature-settings: normal; font-variation-settings: normal; font-stretch: normal; font-size: 1.21em; line-height: 1.2; font-family: KaTeX_Main, 'Times New Roman', serif; text-rendering: auto;\"><span class=\"katex-mathml\" style=\"margin: 0px; padding: 0px; font-family: sans-serif; border: 0px; clip: rect(1px, 1px, 1px, 1px); height: 1px; overflow: hidden; position: absolute; width: 1px;\">\ufffd<\/span><span class=\"katex-html\" style=\"margin: 0px; padding: 0px; font-family: sans-serif; border-color: currentcolor;\" aria-hidden=\"true\"><span class=\"base\" style=\"margin: 0px; padding: 0px; border-color: currentcolor; position: relative; text-wrap: nowrap; width: min-content; display: inline-block;\"><span class=\"mord mathnormal\" style=\"margin: 0px; padding: 0px; font-family: KaTeX_Math; border-color: currentcolor; font-style: italic;\">n<\/span><\/span><\/span><\/span><\/span>\u00a0red and\u00a0<span class=\"inline-equation\" style=\"margin: 0px; padding: 0px;\"><span class=\"katex\" style=\"margin: 0px; padding: 0px; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-kerning: auto; font-optical-sizing: auto; font-feature-settings: normal; font-variation-settings: normal; font-stretch: normal; font-size: 1.21em; line-height: 1.2; font-family: KaTeX_Main, 'Times New Roman', serif; text-rendering: auto;\"><span class=\"katex-mathml\" style=\"margin: 0px; padding: 0px; font-family: sans-serif; border: 0px; clip: rect(1px, 1px, 1px, 1px); height: 1px; overflow: hidden; position: absolute; width: 1px;\">2<\/span><span class=\"katex-html\" style=\"margin: 0px; padding: 0px; font-family: sans-serif; border-color: currentcolor;\" aria-hidden=\"true\"><span class=\"base\" style=\"margin: 0px; padding: 0px; border-color: currentcolor; position: relative; text-wrap: nowrap; width: min-content; display: inline-block;\"><span class=\"mord\" style=\"margin: 0px; padding: 0px; border-color: currentcolor;\">2<\/span><\/span><\/span><\/span><\/span>\u00a0black t-shirts and Shop\u00a0<span class=\"inline-equation\" style=\"margin: 0px; padding: 0px;\"><span class=\"katex\" style=\"margin: 0px; padding: 0px; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-kerning: auto; font-optical-sizing: auto; font-feature-settings: normal; font-variation-settings: normal; font-stretch: normal; font-size: 1.21em; line-height: 1.2; font-family: KaTeX_Main, 'Times New Roman', serif; text-rendering: auto;\"><span class=\"katex-mathml\" style=\"margin: 0px; padding: 0px; font-family: sans-serif; border: 0px; clip: rect(1px, 1px, 1px, 1px); height: 1px; overflow: hidden; position: absolute; width: 1px;\">\ufffd<\/span><span class=\"katex-html\" style=\"margin: 0px; padding: 0px; font-family: sans-serif; border-color: currentcolor;\" aria-hidden=\"true\"><span class=\"base\" style=\"margin: 0px; padding: 0px; border-color: currentcolor; position: relative; text-wrap: nowrap; width: min-content; display: inline-block;\"><span class=\"mord mathnormal\" style=\"margin: 0px 0.05017em 0px 0px; padding: 0px; font-family: KaTeX_Math; border-color: currentcolor; font-style: italic;\">B<\/span><\/span><\/span><\/span><\/span>\u00a0has a stock of\u00a0<span class=\"inline-equation\" style=\"margin: 0px; padding: 0px;\"><span class=\"katex\" style=\"margin: 0px; padding: 0px; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-kerning: auto; font-optical-sizing: auto; font-feature-settings: normal; font-variation-settings: normal; font-stretch: normal; font-size: 1.21em; line-height: 1.2; font-family: KaTeX_Main, 'Times New Roman', serif; text-rendering: auto;\"><span class=\"katex-mathml\" style=\"margin: 0px; padding: 0px; font-family: sans-serif; border: 0px; clip: rect(1px, 1px, 1px, 1px); height: 1px; overflow: hidden; position: absolute; width: 1px;\">2<\/span><span class=\"katex-html\" style=\"margin: 0px; padding: 0px; font-family: sans-serif; border-color: currentcolor;\" aria-hidden=\"true\"><span class=\"base\" style=\"margin: 0px; padding: 0px; border-color: currentcolor; position: relative; text-wrap: nowrap; width: min-content; display: inline-block;\"><span class=\"mord\" style=\"margin: 0px; padding: 0px; border-color: currentcolor;\">2<\/span><\/span><\/span><\/span><\/span>\u00a0red and\u00a0<span class=\"inline-equation\" style=\"margin: 0px; padding: 0px;\"><span class=\"katex\" style=\"margin: 0px; padding: 0px; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-kerning: auto; font-optical-sizing: auto; font-feature-settings: normal; font-variation-settings: normal; font-stretch: normal; font-size: 1.21em; line-height: 1.2; font-family: KaTeX_Main, 'Times New Roman', serif; text-rendering: auto;\"><span class=\"katex-mathml\" style=\"margin: 0px; padding: 0px; font-family: sans-serif; border: 0px; clip: rect(1px, 1px, 1px, 1px); height: 1px; overflow: hidden; position: absolute; width: 1px;\">\ufffd<\/span><span class=\"katex-html\" style=\"margin: 0px; padding: 0px; font-family: sans-serif; border-color: currentcolor;\" aria-hidden=\"true\"><span class=\"base\" style=\"margin: 0px; padding: 0px; border-color: currentcolor; position: relative; text-wrap: nowrap; width: min-content; display: inline-block;\"><span class=\"mord mathnormal\" style=\"margin: 0px; padding: 0px; font-family: KaTeX_Math; border-color: currentcolor; font-style: italic;\">n<\/span><\/span><\/span><\/span><\/span>\u00a0black t-shirts. One of the shops is selected at random and two t-shirts are purchased from it. If both the t-shirts purchased are red and the probability that it was purchased from a shop\u00a0<span class=\"inline-equation\" style=\"margin: 0px; padding: 0px;\"><span class=\"katex\" style=\"margin: 0px; padding: 0px; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-kerning: auto; font-optical-sizing: auto; font-feature-settings: normal; font-variation-settings: normal; font-stretch: normal; font-size: 1.21em; line-height: 1.2; font-family: KaTeX_Main, 'Times New Roman', serif; text-rendering: auto;\"><span class=\"katex-mathml\" style=\"margin: 0px; padding: 0px; font-family: sans-serif; border: 0px; clip: rect(1px, 1px, 1px, 1px); height: 1px; overflow: hidden; position: absolute; width: 1px;\">\ufffd<\/span><span class=\"katex-html\" style=\"margin: 0px; padding: 0px; font-family: sans-serif; border-color: currentcolor;\" aria-hidden=\"true\"><span class=\"base\" style=\"margin: 0px; padding: 0px; border-color: currentcolor; position: relative; text-wrap: nowrap; width: min-content; display: inline-block;\"><span class=\"mord mathnormal\" style=\"margin: 0px; padding: 0px; font-family: KaTeX_Math; border-color: currentcolor; font-style: italic;\">A<\/span><\/span><\/span><\/span><\/span>\u00a0is\u00a0<span class=\"inline-equation\" style=\"margin: 0px; padding: 0px;\"><span class=\"katex\" style=\"margin: 0px; padding: 0px; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-kerning: auto; font-optical-sizing: auto; font-feature-settings: normal; font-variation-settings: normal; font-stretch: normal; font-size: 1.21em; line-height: 1.2; font-family: KaTeX_Main, 'Times New Roman', serif; text-rendering: auto;\"><span class=\"katex-mathml\" style=\"margin: 0px; padding: 0px; font-family: sans-serif; border: 0px; clip: rect(1px, 1px, 1px, 1px); height: 1px; overflow: hidden; position: absolute; width: 1px;\">67<\/span><span class=\"katex-html\" style=\"margin: 0px; padding: 0px; font-family: sans-serif; border-color: currentcolor;\" aria-hidden=\"true\"><span class=\"base\" style=\"margin: 0px; padding: 0px; border-color: currentcolor; position: relative; text-wrap: nowrap; width: min-content; display: inline-block;\"><span class=\"mord\" style=\"margin: 0px; padding: 0px; border-color: currentcolor;\"><span class=\"mfrac\" style=\"margin: 0px; padding: 0px; border-color: currentcolor;\"><span class=\"vlist-t vlist-t2\" style=\"margin: 0px -2px 0px 0px; padding: 0px; border-color: currentcolor; border-collapse: collapse; display: inline-table; table-layout: fixed;\"><span class=\"vlist-r\" style=\"margin: 0px; padding: 0px; border-color: currentcolor; display: table-row; text-align: center;\"><span class=\"vlist\" style=\"margin: 0px; padding: 0px; border-color: currentcolor; display: table-cell; position: relative; vertical-align: bottom; height: 1.32144em;\"><span class=\"\" style=\"margin: 0px; padding: 0px; border-color: currentcolor; display: block; height: 0px; position: relative; top: -2.314em;\"><span class=\"mord\" style=\"margin: 0px; padding: 0px; border-color: currentcolor; display: inline-block;\"><span class=\"mord\" style=\"margin: 0px; padding: 0px; border-color: currentcolor;\">7<\/span><\/span><\/span><span class=\"\" style=\"margin: 0px; padding: 0px; border-color: currentcolor; display: block; height: 0px; position: relative; top: -3.677em;\"><span class=\"mord\" style=\"margin: 0px; padding: 0px; border-color: currentcolor; display: inline-block;\"><span class=\"mord\" style=\"margin: 0px; padding: 0px; border-color: currentcolor;\">6<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>, find the value of\u00a0<span class=\"inline-equation\" style=\"margin: 0px; padding: 0px;\"><span class=\"katex\" style=\"margin: 0px; padding: 0px; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-kerning: auto; font-optical-sizing: auto; font-feature-settings: normal; font-variation-settings: normal; font-stretch: normal; font-size: 1.21em; line-height: 1.2; font-family: KaTeX_Main, 'Times New Roman', serif; text-rendering: auto;\"><span class=\"katex-mathml\" style=\"margin: 0px; padding: 0px; font-family: sans-serif; border: 0px; clip: rect(1px, 1px, 1px, 1px); height: 1px; overflow: hidden; position: absolute; width: 1px;\">\ufffd<\/span><span class=\"katex-html\" style=\"margin: 0px; padding: 0px; font-family: sans-serif; border-color: currentcolor;\" aria-hidden=\"true\"><span class=\"base\" style=\"margin: 0px; padding: 0px; border-color: currentcolor; position: relative; text-wrap: nowrap; width: min-content; display: inline-block;\"><span class=\"mord mathnormal\" style=\"margin: 0px; padding: 0px; font-family: KaTeX_Math; border-color: currentcolor; font-style: italic;\">n<\/span><\/span><\/span><\/span><\/span>.<div style=\"margin: 0px; padding: 0px;\">\u00a0<\/div><\/div><div class=\"qt-choices\" style=\"margin: 16px 0px 0px; padding: 0px;\"><div class=\"gcb-mcq-choice\" style=\"margin: 0px 0px 18px; padding: 0px; display: flex; align-items: center;\"><input id=\"D5fbBKwA56j4.1.6310520462245888.0\" style=\"padding: 0px; font-family: inherit; font-size: inherit; width: 15px; height: 15px; background-color: #05a660;\" disabled=\"disabled\" name=\"D5fbBKwA56j4.1.6310520462245888\" type=\"radio\" data-index=\"0\" \/><div style=\"margin: 0px; padding: 0px;\">\u00a0<\/div><label style=\"margin: 0px 0px 0px 16px; padding: 0px; font-size: 16px;\" for=\"D5fbBKwA56j4.1.6310520462245888.0\"><label style=\"margin: 0px 0px 0px 16px; padding: 0px; font-size: 16px;\" for=\"D5fbBKwA56j4.1.6310520462245888.0\"><span class=\"inline-equation\" style=\"margin: 0px; padding: 0px;\"><span class=\"katex\" style=\"margin: 0px; padding: 0px; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-kerning: auto; font-optical-sizing: auto; font-feature-settings: normal; font-variation-settings: normal; font-stretch: normal; font-size: 1.21em; line-height: 1.2; font-family: KaTeX_Main, 'Times New Roman', serif; text-rendering: auto;\"><span class=\"katex-mathml\" style=\"margin: 0px; padding: 0px; font-family: sans-serif; border: 0px; clip: rect(1px, 1px, 1px, 1px); height: 1px; overflow: hidden; position: absolute; width: 1px;\">3<\/span><span class=\"katex-html\" style=\"margin: 0px; padding: 0px; font-family: sans-serif; border-color: currentcolor;\" aria-hidden=\"true\"><span class=\"base\" style=\"margin: 0px; padding: 0px; border-color: currentcolor; position: relative; text-wrap: nowrap; width: min-content; display: inline-block;\"><span class=\"mord\" style=\"margin: 0px; padding: 0px; border-color: currentcolor;\">3<\/span><\/span><\/span><\/span><\/span><\/label><\/label><div style=\"margin: 0px; padding: 0px;\">\u00a0<\/div><\/div><div class=\"gcb-mcq-choice\" style=\"margin: 0px 0px 18px; padding: 0px; display: flex; align-items: center;\"><input id=\"D5fbBKwA56j4.1.6310520462245888.1\" style=\"padding: 0px; font-family: inherit; font-size: inherit; width: 15px; height: 15px; background-color: #05a660;\" disabled=\"disabled\" name=\"D5fbBKwA56j4.1.6310520462245888\" type=\"radio\" data-index=\"1\" \/><div style=\"margin: 0px; padding: 0px;\">\u00a0<\/div><label style=\"margin: 0px 0px 0px 16px; padding: 0px; font-size: 16px;\" for=\"D5fbBKwA56j4.1.6310520462245888.1\"><label style=\"margin: 0px 0px 0px 16px; padding: 0px; font-size: 16px;\" for=\"D5fbBKwA56j4.1.6310520462245888.1\"><span class=\"inline-equation\" style=\"margin: 0px; padding: 0px;\"><span class=\"katex\" style=\"margin: 0px; padding: 0px; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-kerning: auto; font-optical-sizing: auto; font-feature-settings: normal; font-variation-settings: normal; font-stretch: normal; font-size: 1.21em; line-height: 1.2; font-family: KaTeX_Main, 'Times New Roman', serif; text-rendering: auto;\"><span class=\"katex-mathml\" style=\"margin: 0px; padding: 0px; font-family: sans-serif; border: 0px; clip: rect(1px, 1px, 1px, 1px); height: 1px; overflow: hidden; position: absolute; width: 1px;\">4<\/span><span class=\"katex-html\" style=\"margin: 0px; padding: 0px; font-family: sans-serif; border-color: currentcolor;\" aria-hidden=\"true\"><span class=\"base\" style=\"margin: 0px; padding: 0px; border-color: currentcolor; position: relative; text-wrap: nowrap; width: min-content; display: inline-block;\"><span class=\"mord\" style=\"margin: 0px; padding: 0px; border-color: currentcolor;\">4<\/span><\/span><\/span><\/span><\/span><\/label><\/label><div style=\"margin: 0px; padding: 0px;\">\u00a0<\/div><\/div><div class=\"gcb-mcq-choice\" style=\"margin: 0px 0px 18px; padding: 0px; display: flex; align-items: center;\"><input id=\"D5fbBKwA56j4.1.6310520462245888.2\" style=\"padding: 0px; font-family: inherit; font-size: inherit; width: 15px; height: 15px; background-color: #05a660;\" disabled=\"disabled\" name=\"D5fbBKwA56j4.1.6310520462245888\" type=\"radio\" data-index=\"2\" \/><div style=\"margin: 0px; padding: 0px;\">\u00a0<\/div><label style=\"margin: 0px 0px 0px 16px; padding: 0px; font-size: 16px;\" for=\"D5fbBKwA56j4.1.6310520462245888.2\"><label style=\"margin: 0px 0px 0px 16px; padding: 0px; font-size: 16px;\" for=\"D5fbBKwA56j4.1.6310520462245888.2\"><span class=\"inline-equation\" style=\"margin: 0px; padding: 0px;\"><span class=\"katex\" style=\"margin: 0px; padding: 0px; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-kerning: auto; font-optical-sizing: auto; font-feature-settings: normal; font-variation-settings: normal; font-stretch: normal; font-size: 1.21em; line-height: 1.2; font-family: KaTeX_Main, 'Times New Roman', serif; text-rendering: auto;\"><span class=\"katex-mathml\" style=\"margin: 0px; padding: 0px; font-family: sans-serif; border: 0px; clip: rect(1px, 1px, 1px, 1px); height: 1px; overflow: hidden; position: absolute; width: 1px;\">5<\/span><span class=\"katex-html\" style=\"margin: 0px; padding: 0px; font-family: sans-serif; border-color: currentcolor;\" aria-hidden=\"true\"><span class=\"base\" style=\"margin: 0px; padding: 0px; border-color: currentcolor; position: relative; text-wrap: nowrap; width: min-content; display: inline-block;\"><span class=\"mord\" style=\"margin: 0px; padding: 0px; border-color: currentcolor;\">5<\/span><\/span><\/span><\/span><\/span><\/label><\/label><div style=\"margin: 0px; padding: 0px;\">\u00a0<\/div><\/div><div class=\"gcb-mcq-choice\" style=\"margin: 0px 0px 18px; padding: 0px; display: flex; align-items: center;\"><input id=\"D5fbBKwA56j4.1.6310520462245888.3\" style=\"padding: 0px; font-family: inherit; font-size: inherit; width: 15px; height: 15px; background-color: #05a660;\" disabled=\"disabled\" name=\"D5fbBKwA56j4.1.6310520462245888\" type=\"radio\" data-index=\"3\" \/><div style=\"margin: 0px; padding: 0px;\">\u00a0<\/div><label style=\"margin: 0px 0px 0px 16px; padding: 0px; font-size: 16px;\" for=\"D5fbBKwA56j4.1.6310520462245888.3\"><label style=\"margin: 0px 0px 0px 16px; padding: 0px; font-size: 16px;\" for=\"D5fbBKwA56j4.1.6310520462245888.3\"><span class=\"inline-equation\" style=\"margin: 0px; padding: 0px;\"><span class=\"katex\" style=\"margin: 0px; padding: 0px; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-kerning: auto; font-optical-sizing: auto; font-feature-settings: normal; font-variation-settings: normal; font-stretch: normal; font-size: 1.21em; line-height: 1.2; font-family: KaTeX_Main, 'Times New Roman', serif; text-rendering: auto;\"><span class=\"katex-mathml\" style=\"margin: 0px; padding: 0px; font-family: sans-serif; border: 0px; clip: rect(1px, 1px, 1px, 1px); height: 1px; overflow: hidden; position: absolute; width: 1px;\">6<\/span><span class=\"katex-html\" style=\"margin: 0px; padding: 0px; font-family: sans-serif; border-color: currentcolor;\" aria-hidden=\"true\"><span class=\"base\" style=\"margin: 0px; padding: 0px; border-color: currentcolor; position: relative; text-wrap: nowrap; width: min-content; display: inline-block;\"><span class=\"mord\" style=\"margin: 0px; padding: 0px; border-color: currentcolor;\">6<\/span><\/span><\/span><\/span><\/span><\/label><\/label><div style=\"margin: 0px; padding: 0px;\">\u00a0<\/div><\/div><\/div><div class=\"qt-feedback\" style=\"margin: 0px; padding: 0px;\" role=\"alert\"><div style=\"margin: 0px; padding: 0px;\"><h3 class=\"feedback-header\" style=\"margin-bottom: 16px; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-kerning: auto; font-optical-sizing: auto; font-feature-settings: normal; font-variation-settings: normal; font-weight: 400; font-stretch: normal; font-size: 16px; line-height: 28px; font-family: Roboto, 'Helvetica Neue', sans-serif; letter-spacing: normal;\">\u00a0<\/h3><h3 class=\"feedback-header faculty-answer\" style=\"margin-bottom: 16px; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-kerning: auto; font-optical-sizing: auto; font-feature-settings: normal; font-variation-settings: normal; font-weight: 400; font-stretch: normal; font-size: 16px; line-height: 28px; font-family: Roboto, 'Helvetica Neue', sans-serif; color: #05a660; letter-spacing: normal;\">Accepted Answers:<\/h3><\/div><\/div><\/div><\/div><\/div><\/div>\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-cf55816 elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"cf55816\" data-element_type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-18ad76a\" data-id=\"18ad76a\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t\t\t<div class=\"elementor-element elementor-element-6333c76 elementor-button-info elementor-align-center elementor-widget elementor-widget-button\" data-id=\"6333c76\" data-element_type=\"widget\" data-widget_type=\"button.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<div class=\"elementor-button-wrapper\">\n\t\t\t<a class=\"elementor-button elementor-button-link elementor-size-sm\" href=\"https:\/\/drive.google.com\/drive\/folders\/14b4zsoM_A6QFwFZudJjC8I4Fgu-Navb1?usp=drive_link\" target=\"_blank\" rel=\"noopener\">\n\t\t\t\t\t\t<span class=\"elementor-button-content-wrapper\">\n\t\t\t\t\t\t<span class=\"elementor-button-text\">Graded Assignments Full Solutions PDF <\/span>\n\t\t<\/span>\n\t\t\t\t\t<\/a>\n\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-bb61098 elementor-share-buttons--view-icon-text elementor-share-buttons--skin-gradient elementor-share-buttons--shape-square elementor-grid-0 elementor-share-buttons--color-official elementor-widget elementor-widget-share-buttons\" data-id=\"bb61098\" data-element_type=\"widget\" data-widget_type=\"share-buttons.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t<link rel=\"stylesheet\" href=\"https:\/\/iitmadrasstudentscommunity.me\/wp-content\/plugins\/elementor-pro\/assets\/css\/widget-share-buttons.min.css\">\t\t<div class=\"elementor-grid\">\n\t\t\t\t\t\t\t\t<div class=\"elementor-grid-item\">\n\t\t\t\t\t\t<div\n\t\t\t\t\t\t\tclass=\"elementor-share-btn elementor-share-btn_whatsapp\"\n\t\t\t\t\t\t\trole=\"button\"\n\t\t\t\t\t\t\ttabindex=\"0\"\n\t\t\t\t\t\t\taria-label=\"Share on whatsapp\"\n\t\t\t\t\t\t>\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<span class=\"elementor-share-btn__icon\">\n\t\t\t\t\t\t\t\t<i class=\"fab fa-whatsapp\" aria-hidden=\"true\"><\/i>\t\t\t\t\t\t\t<\/span>\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<div class=\"elementor-share-btn__text\">\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<span class=\"elementor-share-btn__title\">\n\t\t\t\t\t\t\t\t\t\tWhatsApp\t\t\t\t\t\t\t\t\t<\/span>\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t\t<div class=\"elementor-grid-item\">\n\t\t\t\t\t\t<div\n\t\t\t\t\t\t\tclass=\"elementor-share-btn elementor-share-btn_telegram\"\n\t\t\t\t\t\t\trole=\"button\"\n\t\t\t\t\t\t\ttabindex=\"0\"\n\t\t\t\t\t\t\taria-label=\"Share on telegram\"\n\t\t\t\t\t\t>\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<span class=\"elementor-share-btn__icon\">\n\t\t\t\t\t\t\t\t<i class=\"fab fa-telegram\" aria-hidden=\"true\"><\/i>\t\t\t\t\t\t\t<\/span>\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<div class=\"elementor-share-btn__text\">\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<span class=\"elementor-share-btn__title\">\n\t\t\t\t\t\t\t\t\t\tTelegram\t\t\t\t\t\t\t\t\t<\/span>\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t\t<div class=\"elementor-grid-item\">\n\t\t\t\t\t\t<div\n\t\t\t\t\t\t\tclass=\"elementor-share-btn elementor-share-btn_print\"\n\t\t\t\t\t\t\trole=\"button\"\n\t\t\t\t\t\t\ttabindex=\"0\"\n\t\t\t\t\t\t\taria-label=\"Share on print\"\n\t\t\t\t\t\t>\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<span class=\"elementor-share-btn__icon\">\n\t\t\t\t\t\t\t\t<i class=\"fas fa-print\" aria-hidden=\"true\"><\/i>\t\t\t\t\t\t\t<\/span>\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<div class=\"elementor-share-btn__text\">\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<span class=\"elementor-share-btn__title\">\n\t\t\t\t\t\t\t\t\t\tPrint\t\t\t\t\t\t\t\t\t<\/span>\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t\t<div class=\"elementor-grid-item\">\n\t\t\t\t\t\t<div\n\t\t\t\t\t\t\tclass=\"elementor-share-btn elementor-share-btn_facebook\"\n\t\t\t\t\t\t\trole=\"button\"\n\t\t\t\t\t\t\ttabindex=\"0\"\n\t\t\t\t\t\t\taria-label=\"Share on facebook\"\n\t\t\t\t\t\t>\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<span class=\"elementor-share-btn__icon\">\n\t\t\t\t\t\t\t\t<i class=\"fab fa-facebook\" aria-hidden=\"true\"><\/i>\t\t\t\t\t\t\t<\/span>\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<div class=\"elementor-share-btn__text\">\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<span class=\"elementor-share-btn__title\">\n\t\t\t\t\t\t\t\t\t\tFacebook\t\t\t\t\t\t\t\t\t<\/span>\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-aecca6e elementor-post-navigation-borders-yes elementor-widget elementor-widget-post-navigation\" data-id=\"aecca6e\" data-element_type=\"widget\" data-widget_type=\"post-navigation.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t<link rel=\"stylesheet\" href=\"https:\/\/iitmadrasstudentscommunity.me\/wp-content\/plugins\/elementor-pro\/assets\/css\/widget-theme-elements.min.css\">\t\t<div class=\"elementor-post-navigation\">\n\t\t\t<div class=\"elementor-post-navigation__prev elementor-post-navigation__link\">\n\t\t\t\t<a href=\"https:\/\/iitmadrasstudentscommunity.me\/ct-week-8-graded-assignments-iit-madras\/\" rel=\"prev\"><span 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Madras<\/span><\/span><span class=\"post-navigation__arrow-wrapper post-navigation__arrow-next\"><i class=\"fa fa-angle-right\" aria-hidden=\"true\"><\/i><span class=\"elementor-screen-only\">Next<\/span><\/span><\/a>\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t\t\t\t<\/div>\n\t\t","protected":false},"excerpt":{"rendered":"<p>Statistics week 8 graded assignment Complete\u00a0 Solutions Are Discussed In This Blog We Hope This Might Help You All In Matching Answers . Or For Some Others Reasons Not Able To Complete Graded Assignments\u00a0 1.Zaheer Khan has taken 4 five-wicket hauls in his last 15 matches. His match records are selected at random, one by&hellip;&nbsp;<a href=\"https:\/\/iitmadrasstudentscommunity.me\/statistics-week-8-graded-assignments-iit-madras\/\" class=\"\" rel=\"bookmark\">Read More &raquo;<span class=\"screen-reader-text\">Statistics Week 8 Graded Assignments IIT Madras<\/span><\/a><\/p>\n","protected":false},"author":4,"featured_media":883,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"neve_meta_sidebar":"","neve_meta_container":"","neve_meta_enable_content_width":"","neve_meta_content_width":0,"neve_meta_title_alignment":"","neve_meta_author_avatar":"","neve_post_elements_order":"","neve_meta_disable_header":"","neve_meta_disable_footer":"","neve_meta_disable_title":"","neve_meta_reading_time":"","_themeisle_gutenberg_block_has_review":false,"_ti_tpc_template_sync":false,"_ti_tpc_template_id":"","footnotes":""},"categories":[10],"tags":[],"_links":{"self":[{"href":"https:\/\/iitmadrasstudentscommunity.me\/wp-json\/wp\/v2\/posts\/900"}],"collection":[{"href":"https:\/\/iitmadrasstudentscommunity.me\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/iitmadrasstudentscommunity.me\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/iitmadrasstudentscommunity.me\/wp-json\/wp\/v2\/users\/4"}],"replies":[{"embeddable":true,"href":"https:\/\/iitmadrasstudentscommunity.me\/wp-json\/wp\/v2\/comments?post=900"}],"version-history":[{"count":7,"href":"https:\/\/iitmadrasstudentscommunity.me\/wp-json\/wp\/v2\/posts\/900\/revisions"}],"predecessor-version":[{"id":919,"href":"https:\/\/iitmadrasstudentscommunity.me\/wp-json\/wp\/v2\/posts\/900\/revisions\/919"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/iitmadrasstudentscommunity.me\/wp-json\/wp\/v2\/media\/883"}],"wp:attachment":[{"href":"https:\/\/iitmadrasstudentscommunity.me\/wp-json\/wp\/v2\/media?parent=900"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/iitmadrasstudentscommunity.me\/wp-json\/wp\/v2\/categories?post=900"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/iitmadrasstudentscommunity.me\/wp-json\/wp\/v2\/tags?post=900"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}