{"id":93184,"date":"2021-06-04T15:38:00","date_gmt":"2021-06-04T10:08:00","guid":{"rendered":"https:\/\/www.kopykitab.com\/blog\/?p=93184"},"modified":"2021-06-04T15:38:06","modified_gmt":"2021-06-04T10:08:06","slug":"ncert-solutions-class-12-maths-chapter-13-exercise-13-2","status":"publish","type":"post","link":"https:\/\/www.kopykitab.com\/blog\/ncert-solutions-class-12-maths-chapter-13-exercise-13-2\/","title":{"rendered":"NCERT Solutions Class 12 Maths Chapter 13 Exercise 13.2"},"content":{"rendered":"\n<p>NCERT Solutions Class 12 Maths Chapter 13 Exercise 13.2 is based on the multiplication theorem on Probability and the independent events. You can have the look for these solutions which are created by our experts. These solutions will be very helpful during your exam preparation for the <a href=\"https:\/\/www.kopykitab.com\/blog\/cbse-class-12-board-exam\/\"><strong>Class 12 CBSE board exams<\/strong><\/a>.<\/p>\n<ul>\n<li><a href=\"https:\/\/www.kopykitab.com\/blog\/ncert-solutions-for-class-12-maths-chapter-13-probability\/\"><strong>NCERT Solutions for Class 12 Maths Chapter 13 Probability<\/strong><\/a><\/li>\n<\/ul>\n<p>In this article, you can easily download the PDF for the NCERT Solutions <a href=\"https:\/\/www.kopykitab.com\/blog\/cbse-class-12-maths\/\"><strong>Class 12 Maths<\/strong><\/a> Chapter 13 Exercise 13.2<\/p>\n<div id=\"ez-toc-container\" class=\"ez-toc-v2_0_47_1 counter-hierarchy ez-toc-counter ez-toc-grey ez-toc-container-direction\">\n<div class=\"ez-toc-title-container\">\n<p class=\"ez-toc-title\">Table of Contents<\/p>\n<span class=\"ez-toc-title-toggle\"><a href=\"#\" class=\"ez-toc-pull-right ez-toc-btn ez-toc-btn-xs ez-toc-btn-default ez-toc-toggle\" aria-label=\"ez-toc-toggle-icon-1\"><label for=\"item-69d78d0018506\" aria-label=\"Table of Content\"><span style=\"display: flex;align-items: center;width: 35px;height: 30px;justify-content: center;direction:ltr;\"><svg style=\"fill: #000000;color:#000000\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\" class=\"list-377408\" width=\"20px\" height=\"20px\" viewBox=\"0 0 24 24\" fill=\"none\"><path d=\"M6 6H4v2h2V6zm14 0H8v2h12V6zM4 11h2v2H4v-2zm16 0H8v2h12v-2zM4 16h2v2H4v-2zm16 0H8v2h12v-2z\" fill=\"currentColor\"><\/path><\/svg><svg style=\"fill: #000000;color:#000000\" class=\"arrow-unsorted-368013\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\" width=\"10px\" height=\"10px\" viewBox=\"0 0 24 24\" version=\"1.2\" baseProfile=\"tiny\"><path d=\"M18.2 9.3l-6.2-6.3-6.2 6.3c-.2.2-.3.4-.3.7s.1.5.3.7c.2.2.4.3.7.3h11c.3 0 .5-.1.7-.3.2-.2.3-.5.3-.7s-.1-.5-.3-.7zM5.8 14.7l6.2 6.3 6.2-6.3c.2-.2.3-.5.3-.7s-.1-.5-.3-.7c-.2-.2-.4-.3-.7-.3h-11c-.3 0-.5.1-.7.3-.2.2-.3.5-.3.7s.1.5.3.7z\"\/><\/svg><\/span><\/label><input  type=\"checkbox\" id=\"item-69d78d0018506\"><\/a><\/span><\/div>\n<nav><ul class='ez-toc-list ez-toc-list-level-1 eztoc-visibility-hide-by-default' ><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-1\" href=\"https:\/\/www.kopykitab.com\/blog\/ncert-solutions-class-12-maths-chapter-13-exercise-13-2\/#download-free-pdf-for-ncert-solutions-class-12-maths-chapter-13-exercise-132\" title=\"Download Free PDF for NCERT Solutions Class 12 Maths Chapter 13 Exercise 13.2\">Download Free PDF for NCERT Solutions Class 12 Maths Chapter 13 Exercise 13.2<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-2\" href=\"https:\/\/www.kopykitab.com\/blog\/ncert-solutions-class-12-maths-chapter-13-exercise-13-2\/#detailed-topics-included-in-ncert-solutions-class-12-maths-chapter-13-exercise-132\" title=\"Detailed topics included in NCERT Solutions Class 12 Maths Chapter 13 Exercise 13.2\">Detailed topics included in NCERT Solutions Class 12 Maths Chapter 13 Exercise 13.2<\/a><ul class='ez-toc-list-level-3'><li class='ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-3\" href=\"https:\/\/www.kopykitab.com\/blog\/ncert-solutions-class-12-maths-chapter-13-exercise-13-2\/#independent-events\" title=\"Independent Events:\">Independent Events:<\/a><\/li><\/ul><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-4\" href=\"https:\/\/www.kopykitab.com\/blog\/ncert-solutions-class-12-maths-chapter-13-exercise-13-2\/#access-to-other-exercise-of-class-12-chapter-13\" title=\"Access to Other Exercise Of Class 12 Chapter 13\">Access to Other Exercise Of Class 12 Chapter 13<\/a><ul class='ez-toc-list-level-3'><li class='ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-5\" href=\"https:\/\/www.kopykitab.com\/blog\/ncert-solutions-class-12-maths-chapter-13-exercise-13-2\/#faq-ncert-solutions-class-12-maths-chapter-13-exercise-132\" title=\"FAQ: NCERT Solutions Class 12 Maths Chapter 13 Exercise 13.2\">FAQ: NCERT Solutions Class 12 Maths Chapter 13 Exercise 13.2<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-6\" href=\"https:\/\/www.kopykitab.com\/blog\/ncert-solutions-class-12-maths-chapter-13-exercise-13-2\/#how-many-questions-are-there-in-ncert-solutions-class-12-maths-chapter-13-exercise-131\" title=\"How many questions are there in NCERT Solutions Class 12 Maths Chapter 13 Exercise 13.1?\">How many questions are there in NCERT Solutions Class 12 Maths Chapter 13 Exercise 13.1?<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-7\" href=\"https:\/\/www.kopykitab.com\/blog\/ncert-solutions-class-12-maths-chapter-13-exercise-13-2\/#can-i-download-ncert-solutions-class-12-maths-chapter-13-exercise-131-pdf-for-free\" title=\"Can I download NCERT Solutions Class 12 Maths Chapter 13 Exercise 13.1 PDF for free?\">Can I download NCERT Solutions Class 12 Maths Chapter 13 Exercise 13.1 PDF for free?<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-8\" href=\"https:\/\/www.kopykitab.com\/blog\/ncert-solutions-class-12-maths-chapter-13-exercise-13-2\/#can-i-open-above-pdf-files-on-my-smartphone\" title=\"Can I open above PDF files on my smartphone?\">Can I open above PDF files on my smartphone?<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-9\" href=\"https:\/\/www.kopykitab.com\/blog\/ncert-solutions-class-12-maths-chapter-13-exercise-13-2\/#is-12th-grade-math-difficult\" title=\"Is 12th grade math difficult?\">Is 12th grade math difficult?<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-10\" href=\"https:\/\/www.kopykitab.com\/blog\/ncert-solutions-class-12-maths-chapter-13-exercise-13-2\/#is-probability-a-simple-chapter\" title=\"Is probability a simple chapter?\">Is probability a simple chapter?<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-11\" href=\"https:\/\/www.kopykitab.com\/blog\/ncert-solutions-class-12-maths-chapter-13-exercise-13-2\/#what-is-the-example-of-independent-events\" title=\"What is the example of Independent Events?\">What is the example of Independent Events?<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-12\" href=\"https:\/\/www.kopykitab.com\/blog\/ncert-solutions-class-12-maths-chapter-13-exercise-13-2\/#how-to-calculate-probability\" title=\"How to calculate probability?\">How to calculate probability?<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-13\" href=\"https:\/\/www.kopykitab.com\/blog\/ncert-solutions-class-12-maths-chapter-13-exercise-13-2\/#what-is-the-probability-of-impossible\" title=\"What is the probability of impossible?\">What is the probability of impossible?<\/a><\/li><\/ul><\/li><\/ul><\/nav><\/div>\n<h2><span class=\"ez-toc-section\" id=\"download-free-pdf-for-ncert-solutions-class-12-maths-chapter-13-exercise-132\"><\/span>Download Free PDF for NCERT Solutions Class 12 Maths Chapter 13 Exercise 13.2<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p><a href=\"https:\/\/www.kopykitab.com\/blog\/wp-content\/uploads\/2021\/06\/13.2.pdf\" target=\"_blank\" rel=\"noopener\">NCERT Solutions for Class 12 Maths Chapter 13 Exercise 13.2<\/a><\/p>\n<div id=\"example1\" style=\"text-align: justify;\">\u00a0<\/div>\n<p style=\"text-align: justify;\"><style>\n.pdfobject-container { height: 800px;}<br \/>\n.pdfobject { border: 1px solid #666; }<br \/>\n<\/style><\/p>\n<p style=\"text-align: justify;\"><script src=\"https:\/\/www.kopykitab.com\/_utility\/js\/pdfobject.min.js\"><\/script><br \/><script>PDFObject.embed(\"https:\/\/www.kopykitab.com\/blog\/wp-content\/uploads\/2021\/06\/13.2.pdf\", \"#example1\");<\/script><\/p>\n<h2><span class=\"ez-toc-section\" id=\"detailed-topics-included-in-ncert-solutions-class-12-maths-chapter-13-exercise-132\"><\/span>Detailed topics included in NCERT Solutions Class 12 Maths Chapter 13 Exercise 13.2<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>As the two events such that the probability of occurrence of one of them is not affected by the occurrence of the other are called <strong>independent events<\/strong>.<\/p>\n<p><strong>Theorem:<\/strong> If A and B are two independent events, the probability that both will occur is equal to the product of their probabilities.<\/p>\n<p>Let E and D be two events associated with a sample of an experiment. Then, <br \/><strong>P(E \u2229 F) = P(E) P(F|E), P(E) \u2260 0 <\/strong><br \/><strong>= P(F) P(E|F), P(F) \u2260 0 <\/strong><br \/><br \/>If E, F, and G are three events associated with a sample space, then <br \/><strong>P(E\u2229F\u2229G) = P(E) P(F|E) P(G|E\u2229F)<\/strong><\/p>\n<h3><span class=\"ez-toc-section\" id=\"independent-events\"><\/span><strong>Independent Events:<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>Let E and F be two events associated with a sample space S. If the probability of occurrence of one of them is not affected by the occurrence of the other, then we say the two events are independent.<\/p>\n<p>An independent event is an event that has no connection to another event\u2019s chances of happening or not happening.<\/p>\n<p>In other words, the event does not affect the probability of another event occurring. <br \/>Independent events in probability are no different from independent events in real life.<\/p>\n<p>This event is not affected by the other events.<\/p>\n<p><strong>Example<\/strong>: Tossing a coin. Heads or tails are not affected by previous tosses.<\/p>\n<h2><span class=\"ez-toc-section\" id=\"access-to-other-exercise-of-class-12-chapter-13\"><\/span>Access to Other Exercise Of Class 12 Chapter 13<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>Chapter 13: Exercise 13.1<\/p>\n<p>Chapter 13: Exercise 13.3<\/p>\n<p>Chapter 13: Exercise 13.4<\/p>\n<p>Chapter 13: Exercise 13.5<\/p>\n<p>Don&#8217;t wait any longer. Download the <a href=\"https:\/\/ncert.nic.in\/\" target=\"_blank\" rel=\"noopener\">NCERT<\/a> Solutions Class 12 Maths Chapter 13 Exercise 13.2 of Mathematics for type 12. All these solutions will be of great help during the preparation for the exam.<\/p>\n<p>To get the best score in the class, it is very important to understand all the concepts in the textbook and to solve the problems in the exercises given in these solutions.<\/p>\n<h3><span class=\"ez-toc-section\" id=\"faq-ncert-solutions-class-12-maths-chapter-13-exercise-132\"><\/span>FAQ: NCERT Solutions Class 12 Maths Chapter 13 Exercise 13.2<span class=\"ez-toc-section-end\"><\/span><\/h3>\n\n\n<div id=\"rank-math-faq\" class=\"rank-math-block\">\n<div class=\"rank-math-list \">\n<div id=\"faq-question-1622618820537\" class=\"rank-math-list-item\">\n<h3 class=\"rank-math-question \"><span class=\"ez-toc-section\" id=\"how-many-questions-are-there-in-ncert-solutions-class-12-maths-chapter-13-exercise-131\"><\/span>How many questions are there in NCERT Solutions Class 12 Maths Chapter 13 Exercise 13.1?<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<div class=\"rank-math-answer \">\n\n<p>There are 17 questions in NCERT Solutions Class 18 Maths Chapter 13 Exercise 13.1<\/p>\n\n<\/div>\n<\/div>\n<div id=\"faq-question-1622618988561\" class=\"rank-math-list-item\">\n<h3 class=\"rank-math-question \"><span class=\"ez-toc-section\" id=\"can-i-download-ncert-solutions-class-12-maths-chapter-13-exercise-131-pdf-for-free\"><\/span>Can I download NCERT Solutions Class 12 Maths Chapter 13 Exercise 13.1 PDF for free?<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<div class=\"rank-math-answer \">\n\n<p>Yes, you can download PDF for free.<\/p>\n\n<\/div>\n<\/div>\n<div id=\"faq-question-1622619028664\" class=\"rank-math-list-item\">\n<h3 class=\"rank-math-question \"><span class=\"ez-toc-section\" id=\"can-i-open-above-pdf-files-on-my-smartphone\"><\/span>Can I open above PDF files on my smartphone?<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<div class=\"rank-math-answer \">\n\n<p>Yes, you can open above PDF files on your smartphone.<\/p>\n\n<\/div>\n<\/div>\n<div id=\"faq-question-1622619054634\" class=\"rank-math-list-item\">\n<h3 class=\"rank-math-question \"><span class=\"ez-toc-section\" id=\"is-12th-grade-math-difficult\"><\/span>Is 12th grade math difficult?<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<div class=\"rank-math-answer \">\n\n<p>Yes, the math test is difficult. You must go all out to achieve good results.<\/p>\n\n<\/div>\n<\/div>\n<div id=\"faq-question-1622619079653\" class=\"rank-math-list-item\">\n<h3 class=\"rank-math-question \"><span class=\"ez-toc-section\" id=\"is-probability-a-simple-chapter\"><\/span>Is probability a simple chapter?<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<div class=\"rank-math-answer \">\n\n<p>Yes it is true that probability is simple.<\/p>\n\n<\/div>\n<\/div>\n<div id=\"faq-question-1622619110954\" class=\"rank-math-list-item\">\n<h3 class=\"rank-math-question \"><span class=\"ez-toc-section\" id=\"what-is-the-example-of-independent-events\"><\/span>What is the example of Independent Events?<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<div class=\"rank-math-answer \">\n\n<p>Tossing a coin. Heads or tails is not affected by previous tosses.<\/p>\n\n<\/div>\n<\/div>\n<div id=\"faq-question-1622619124814\" class=\"rank-math-list-item\">\n<h3 class=\"rank-math-question \"><span class=\"ez-toc-section\" id=\"how-to-calculate-probability\"><\/span>How to calculate probability?<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<div class=\"rank-math-answer \">\n\n<p>Determine a single event with a single outcome, identify the total number of outcomes that can occur, divide the number of events by the number of possible outcomes.<\/p>\n\n<\/div>\n<\/div>\n<div id=\"faq-question-1622619139972\" class=\"rank-math-list-item\">\n<h3 class=\"rank-math-question \"><span class=\"ez-toc-section\" id=\"what-is-the-probability-of-impossible\"><\/span>What is the probability of impossible?<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<div class=\"rank-math-answer \">\n\n<p>The probability of an impossible event is 0.<\/p>\n\n<\/div>\n<\/div>\n<\/div>\n<\/div>","protected":false},"excerpt":{"rendered":"<p>NCERT Solutions Class 12 Maths Chapter 13 Exercise 13.2 is based on the multiplication theorem on Probability and the independent events. You can have the look for these solutions which are created by our experts. These solutions will be very helpful during your exam preparation for the Class 12 CBSE board exams. NCERT Solutions for &#8230; <a title=\"NCERT Solutions Class 12 Maths Chapter 13 Exercise 13.2\" class=\"read-more\" href=\"https:\/\/www.kopykitab.com\/blog\/ncert-solutions-class-12-maths-chapter-13-exercise-13-2\/\" aria-label=\"More on NCERT Solutions Class 12 Maths Chapter 13 Exercise 13.2\">Read more<\/a><\/p>\n","protected":false},"author":244,"featured_media":93922,"comment_status":"open","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"fifu_image_url":"","fifu_image_alt":""},"categories":[73413,2917,73693,73712,2985],"tags":[75457,75458,3570],"amp_enabled":true,"_links":{"self":[{"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/posts\/93184"}],"collection":[{"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/users\/244"}],"replies":[{"embeddable":true,"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/comments?post=93184"}],"version-history":[{"count":5,"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/posts\/93184\/revisions"}],"predecessor-version":[{"id":93937,"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/posts\/93184\/revisions\/93937"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/media\/93922"}],"wp:attachment":[{"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/media?parent=93184"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/categories?post=93184"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/tags?post=93184"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}