{"id":93190,"date":"2021-06-04T15:38:57","date_gmt":"2021-06-04T10:08:57","guid":{"rendered":"https:\/\/www.kopykitab.com\/blog\/?p=93190"},"modified":"2021-06-04T15:39:02","modified_gmt":"2021-06-04T10:09:02","slug":"ncert-solutions-class-12-maths-chapter-13-exercise-13-3","status":"publish","type":"post","link":"https:\/\/www.kopykitab.com\/blog\/ncert-solutions-class-12-maths-chapter-13-exercise-13-3\/","title":{"rendered":"NCERT Solutions Class 12 Maths Chapter 13 Exercise 13.3"},"content":{"rendered":"\n<p><span data-preserver-spaces=\"true\">NCERT Solutions Class 12 Maths Chapter 13 Exercise 13.3 is based on the Bayes\u2019 Theorem which includes Partition of a sample space and the theorem of total probability. 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 exam<\/strong><\/a>.\u00a0<\/span><\/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><span data-preserver-spaces=\"true\">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 13.3.<\/span><\/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-69d78d01513ff\" 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-69d78d01513ff\"><\/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-13-3\/#download-free-pdf-for-ncert-solutions-class-12-maths-chapter-13-exercise-133\" title=\"Download Free PDF for NCERT Solutions Class 12 Maths Chapter 13 Exercise 13.3\u00a0\">Download Free PDF for NCERT Solutions Class 12 Maths Chapter 13 Exercise 13.3\u00a0<\/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-13-3\/#detailed-topics-included-in-ncert-solutions-class-12-maths-chapter-13-exercise-133\" title=\"Detailed topics included in NCERT Solutions Class 12 Maths Chapter 13 Exercise 13.3\u00a0\">Detailed topics included in NCERT Solutions Class 12 Maths Chapter 13 Exercise 13.3\u00a0<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-3\" href=\"https:\/\/www.kopykitab.com\/blog\/ncert-solutions-class-12-maths-chapter-13-exercise-13-3\/#access-to-other-exercise-of-class-12-chapter-13\" title=\"Access to Other Exercise of Class 12 Chapter 13\u00a0\">Access to Other Exercise of Class 12 Chapter 13\u00a0<\/a><ul class='ez-toc-list-level-3'><li class='ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-4\" href=\"https:\/\/www.kopykitab.com\/blog\/ncert-solutions-class-12-maths-chapter-13-exercise-13-3\/#faq-ncert-solutions-class-12-maths-chapter-13-exercise-133\" title=\"FAQ: NCERT Solutions Class 12 Maths Chapter 13 Exercise 13.3\u00a0\">FAQ: NCERT Solutions Class 12 Maths Chapter 13 Exercise 13.3\u00a0<\/a><\/li><li class='ez-toc-page-1 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-13-3\/#how-many-questions-are-there-in-ncert-solutions-class-12-maths-chapter-13-exercise-133\" title=\"How many questions are there in NCERT Solutions Class 12 Maths Chapter 13 Exercise 13.3?\">How many questions are there in NCERT Solutions Class 12 Maths Chapter 13 Exercise 13.3?<\/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-13-3\/#what-are-the-topics-included-in-ncert-solutions-class-12-maths-chapter-13-exercise-133\" title=\"What are the topics included in NCERT Solutions Class 12 Maths Chapter 13 Exercise 13.3?\">What are the topics included in NCERT Solutions Class 12 Maths Chapter 13 Exercise 13.3?<\/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-13-3\/#what-is-bayes%e2%80%99-theorem\" title=\"What is Bayes\u2019 theorem?\">What is Bayes\u2019 theorem?<\/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-13-3\/#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-9\" href=\"https:\/\/www.kopykitab.com\/blog\/ncert-solutions-class-12-maths-chapter-13-exercise-13-3\/#is-probability-a-sample-chapter\" title=\"Is probability a sample chapter?\">Is probability a sample chapter?<\/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-13-3\/#what-is-the-probability-of-impossible\" title=\"What is the probability of impossible?\">What is the probability of impossible?<\/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-13-3\/#can-i-download-ncert-solutions-class-12-maths-chapter-13-exercise-133-pdf-on-my-smartphone\" title=\"Can I download NCERT Solutions Class 12 Maths Chapter 13 Exercise 13.3\u00a0PDF on my smartphone?\">Can I download NCERT Solutions Class 12 Maths Chapter 13 Exercise 13.3\u00a0PDF on my smartphone?<\/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-133\"><\/span><span data-preserver-spaces=\"true\">Download Free PDF for NCERT Solutions Class 12 Maths Chapter 13 Exercise 13.3\u00a0<\/span><span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p><a href=\"https:\/\/www.kopykitab.com\/blog\/wp-content\/uploads\/2021\/06\/13.3.pdf\" target=\"_blank\" rel=\"noopener\">NCERT Solutions for Class 12 Maths Chapter 13 Exercise 13.3<\/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\/13.3.pdf\", \"#example1\");<\/script><\/p>\n<p><span data-preserver-spaces=\"true\">Solve all the problems of this Exercise to get through with the concepts and topics covered under the Bayes\u2019 Theorem of the Chapter Probability.\u00a0<\/span><\/p>\n<h2><span class=\"ez-toc-section\" id=\"detailed-topics-included-in-ncert-solutions-class-12-maths-chapter-13-exercise-133\"><\/span><span data-preserver-spaces=\"true\">Detailed topics included in NCERT Solutions Class 12 Maths Chapter 13 Exercise 13.3\u00a0<\/span><span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p><span data-preserver-spaces=\"true\">In facts and possibility theory, the Bayes\u2019 theorem (additionally referred to as the Bayes\u2019 rule) is a mathematical method used to decide the conditional possibility of events. Essentially, Bayes\u2019 theorem describes the possibility of an occasion primarily based totally on earlier expertise of the situations that is probably applicable to the occasion.\u00a0\u00a0<\/span><\/p>\n<p><span data-preserver-spaces=\"true\">The formula for Bayes\u2019 Theorem\u00a0<\/span><\/p>\n<p><span data-preserver-spaces=\"true\">The Bayes\u2019 theorem is expressed in the following formula:\u00a0<\/span><\/p>\n<p><span data-preserver-spaces=\"true\">P(A|B) = P(B|A) P(A) \/ P(B)\u00a0<\/span><\/p>\n<p><span data-preserver-spaces=\"true\">Where:\u00a0<\/span><\/p>\n<ul>\n<li><span data-preserver-spaces=\"true\">P(A|B) \u2013 the probability of event A occurring, given event B has occurred\u00a0<\/span><\/li>\n<li><span data-preserver-spaces=\"true\">P(B|A) \u2013 the probability of event B occurring, given event A has occurred\u00a0<\/span><\/li>\n<li><span data-preserver-spaces=\"true\">P(A) \u2013 the probability of event A\u00a0<\/span><\/li>\n<li><span data-preserver-spaces=\"true\">P(B) \u2013 the probability of event B\u00a0<\/span><\/li>\n<\/ul>\n<p><span data-preserver-spaces=\"true\">Note that events A and B are independent events (i.e., the probability of the outcome of event A does not depend on the probability of the outcome of event B).\u00a0<\/span><\/p>\n<p><span data-preserver-spaces=\"true\">This theorem at instances is likewise referred to as inverse possibility theorem.\u00a0\u00a0<\/span><\/p>\n<p><span data-preserver-spaces=\"true\">Let us remember any occasion \u2018A\u2019 of pattern space \u2018S\u2019 (as withinside the preceding section).\u00a0\u00a0<\/span><\/p>\n<p><span data-preserver-spaces=\"true\">This occasion could have befallen because of the one-of-a-kind causes (or because of the prevalence of any of the occasion A1, A2, L An).\u00a0<\/span><\/p>\n<p><span data-preserver-spaces=\"true\">\u00a0Now, allow us to say that occasion A is discovered to have befallen and we need to discover the possibility that it has befallen to the prevalence of causes, says Ai.\u00a0\u00a0<\/span><\/p>\n<p><span data-preserver-spaces=\"true\">That way we&#8217;re inquisitive about P(Ai\/A). These forms of issues are solved with the assist of Bayes\u2019 theorem.\u00a0<\/span><\/p>\n<h2><span class=\"ez-toc-section\" id=\"access-to-other-exercise-of-class-12-chapter-13\"><\/span><span data-preserver-spaces=\"true\">Access to Other Exercise of Class 12 Chapter 13\u00a0<\/span><span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p><a href=\"https:\/\/www.kopykitab.com\/blog\/ncert-solutions-class-12-maths-chapter-13-exercise-13-1\/\"><span data-preserver-spaces=\"true\">Chapter 13: Exercise 13.1\u00a0<\/span><\/a><\/p>\n<p><a href=\"https:\/\/www.kopykitab.com\/blog\/ncert-solutions-class-12-maths-chapter-13-exercise-13-2\/\"><span data-preserver-spaces=\"true\">Chapter 13: Exercise 13.2<\/span><\/a><\/p>\n<p><span data-preserver-spaces=\"true\">Chapter 13: Exercise 13.4\u00a0<\/span><\/p>\n<p><span data-preserver-spaces=\"true\">Chapter 13: Exercise 13.5\u00a0<\/span><\/p>\n<p><span data-preserver-spaces=\"true\">Don&#8217;t wait any longer. Download the <a href=\"https:\/\/ncert.nic.in\/\" target=\"_blank\" rel=\"noopener\">NCERT<\/a> answer for exercising 13.2 in Chapter thirteen of Mathematics for kind 12. All those answers can be of splendid assist for the duration of the instruction of the exam.\u00a0<\/span><\/p>\n<h3><span class=\"ez-toc-section\" id=\"faq-ncert-solutions-class-12-maths-chapter-13-exercise-133\"><\/span><span data-preserver-spaces=\"true\">FAQ: NCERT Solutions Class 12 Maths Chapter 13 Exercise 13.3\u00a0<\/span><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-1622542344055\" 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-133\"><\/span>How many questions are there in NCERT Solutions Class 12 Maths Chapter 13 Exercise 13.3?<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 14 Exercise 13.3<\/p>\n\n<\/div>\n<\/div>\n<div id=\"faq-question-1622542354652\" class=\"rank-math-list-item\">\n<h3 class=\"rank-math-question \"><span class=\"ez-toc-section\" id=\"what-are-the-topics-included-in-ncert-solutions-class-12-maths-chapter-13-exercise-133\"><\/span>What are the topics included in NCERT Solutions Class 12 Maths Chapter 13 Exercise 13.3?<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<div class=\"rank-math-answer \">\n\n<p>NCERT Solutions Class 12 Maths Chapter 13 Exercise 13.3 is based on the Bayes\u2019 Theorem which includes Partition of a sample space and the theorem of total probability.<\/p>\n\n<\/div>\n<\/div>\n<div id=\"faq-question-1622542366039\" class=\"rank-math-list-item\">\n<h3 class=\"rank-math-question \"><span class=\"ez-toc-section\" id=\"what-is-bayes%e2%80%99-theorem\"><\/span>What is Bayes\u2019 theorem?<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<div class=\"rank-math-answer \">\n\n<p>The Bayes\u2019 theorem (additionally referred to as the Bayes\u2019 rule) is a mathematical method used to decide the conditional possibility of events.<\/p>\n\n<\/div>\n<\/div>\n<div id=\"faq-question-1622542385771\" 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-1622542393669\" class=\"rank-math-list-item\">\n<h3 class=\"rank-math-question \"><span class=\"ez-toc-section\" id=\"is-probability-a-sample-chapter\"><\/span>Is probability a sample chapter?<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<div class=\"rank-math-answer \">\n\n<p>Yes, the probability is indeed simple.<\/p>\n\n<\/div>\n<\/div>\n<div id=\"faq-question-1622542411692\" 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 id=\"faq-question-1622542436563\" 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-133-pdf-on-my-smartphone\"><\/span>Can I download NCERT Solutions Class 12 Maths Chapter 13 Exercise 13.3\u00a0PDF on my smartphone?<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<div class=\"rank-math-answer \">\n\n<p>Yes, you can download NCERT Solutions Class 12 Maths Chapter 13 Exercise 13.3\u00a0 PDF on my smartphone.<\/p>\n\n<\/div>\n<\/div>\n<\/div>\n<\/div>","protected":false},"excerpt":{"rendered":"<p>NCERT Solutions Class 12 Maths Chapter 13 Exercise 13.3 is based on the Bayes\u2019 Theorem which includes Partition of a sample space and the theorem of total probability. 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 &#8230; <a title=\"NCERT Solutions Class 12 Maths Chapter 13 Exercise 13.3\" class=\"read-more\" href=\"https:\/\/www.kopykitab.com\/blog\/ncert-solutions-class-12-maths-chapter-13-exercise-13-3\/\" aria-label=\"More on NCERT Solutions Class 12 Maths Chapter 13 Exercise 13.3\">Read more<\/a><\/p>\n","protected":false},"author":244,"featured_media":93926,"comment_status":"open","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"fifu_image_url":"","fifu_image_alt":""},"categories":[73413,2917,73693,73712,2985,73410],"tags":[75457,75459,75043],"amp_enabled":true,"_links":{"self":[{"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/posts\/93190"}],"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=93190"}],"version-history":[{"count":5,"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/posts\/93190\/revisions"}],"predecessor-version":[{"id":93954,"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/posts\/93190\/revisions\/93954"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/media\/93926"}],"wp:attachment":[{"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/media?parent=93190"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/categories?post=93190"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/tags?post=93190"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}