{"id":93170,"date":"2021-06-04T15:18:00","date_gmt":"2021-06-04T09:48:00","guid":{"rendered":"https:\/\/www.kopykitab.com\/blog\/?p=93170"},"modified":"2021-06-04T15:34:21","modified_gmt":"2021-06-04T10:04:21","slug":"ncert-solutions-class-12-maths-chapter-13-exercise-13-1","status":"publish","type":"post","link":"https:\/\/www.kopykitab.com\/blog\/ncert-solutions-class-12-maths-chapter-13-exercise-13-1\/","title":{"rendered":"NCERT Solutions Class 12 Maths Chapter 13 Exercise 13.1"},"content":{"rendered":"\n<p><span data-preserver-spaces=\"true\">NCERT Solutions Class 12 Maths Chapter 13 Exercise 13.1 is the important Exercise for Probability. This Exercise will provide you the introduction and conditional probability. However, there is no doubt that Probability is one of the most scoring Chapters in Class 12 Maths. You can easily have an idea about how to attempt the solutions for the NCERT <a href=\"https:\/\/www.kopykitab.com\/blog\/cbse-class-12-maths\/\"><strong>Maths Class 12<\/strong><\/a> Chapter 13 Exercise 13.1.\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 Class 12 Maths Chapter 13 Exercise 13.1\u00a0\u00a0<\/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-69d78d0210df0\" 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-69d78d0210df0\"><\/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-13-1\/#download-free-pdf-for-ncert-solutions-class-12-maths-chapter-13-exercise-131\" title=\"Download Free PDF for NCERT Solutions Class 12 Maths Chapter 13 Exercise 13.1\u00a0\u00a0\">Download Free PDF for NCERT Solutions Class 12 Maths Chapter 13 Exercise 13.1\u00a0\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-13-1\/#detailed-topics-included-in-ncert-solutions-class-12-maths-chapter-13-exercise-131\" title=\"Detailed topics included in NCERT Solutions Class 12 Maths Chapter 13 Exercise 13.1\u00a0\u00a0\">Detailed topics included in NCERT Solutions Class 12 Maths Chapter 13 Exercise 13.1\u00a0\u00a0<\/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-13-1\/#conditional-probability-properties\" title=\"Conditional Probability Properties:\">Conditional Probability Properties:<\/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-13-1\/#access-to-other-exercise-of-class-12-chapter-13\" title=\"Access to Other Exercise Of Class 12 Chapter 13\u00a0\u00a0\">Access to Other Exercise Of Class 12 Chapter 13\u00a0\u00a0<\/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-13-1\/#faq-ncert-solutions-class-12-maths-chapter-13-exercise-131\" title=\"FAQ: NCERT Solutions Class 12 Maths Chapter 13 Exercise 13.1\u00a0\u00a0\">FAQ: NCERT Solutions Class 12 Maths Chapter 13 Exercise 13.1\u00a0\u00a0<\/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-13-1\/#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-13-1\/#what-are-the-three-properties-of-conditional-probability\" title=\"What are the three properties of Conditional probability?\">What are the three properties of Conditional probability?<\/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-13-1\/#can-i-download-this-pdf-for-free\" title=\"Can I download this PDF for free?\">Can I download this PDF for free?<\/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-13-1\/#is-class-12-maths-tough\" title=\"Is Class 12 Maths tough?\">Is Class 12 Maths tough?<\/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-13-1\/#is-probability-an-easy-chapter\" title=\"Is Probability an easy chapter?\">Is Probability an easy 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-13-1\/#what-is-conditional-probability\" title=\"What is conditional probability?\">What is conditional probability?<\/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-13-1\/#can-i-open-these-pdfs-on-my-smartphone\" title=\"Can I open these PDFs on my smartphone?\">Can I open these PDFs 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-131\"><\/span><span data-preserver-spaces=\"true\">Download Free PDF for NCERT Solutions Class 12 Maths Chapter 13 Exercise 13.1\u00a0\u00a0<\/span><span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p><a href=\"https:\/\/www.kopykitab.com\/blog\/wp-content\/uploads\/2021\/06\/13.1.pdf\" target=\"_blank\" rel=\"noopener\">NCERT Solutions for Class 12 Maths Chapter 13 Exercise 13.1<\/a><\/p>\n<p>\u00a0<\/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\/13.1.pdf\", \"#example1\");<\/script><\/p>\n<h2><span class=\"ez-toc-section\" id=\"detailed-topics-included-in-ncert-solutions-class-12-maths-chapter-13-exercise-131\"><\/span><span data-preserver-spaces=\"true\">Detailed topics included in NCERT Solutions Class 12 Maths Chapter 13 Exercise 13.1\u00a0\u00a0<\/span><span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p><span data-preserver-spaces=\"true\">Introduction:\u00a0\u00a0<\/span><\/p>\n<ul>\n<li><span data-preserver-spaces=\"true\">Probability is the science of how likely events are to happen.\u00a0\u00a0<\/span><\/li>\n<li><span data-preserver-spaces=\"true\">The probability that an event will occur is a number between 0 and 1.\u00a0\u00a0<\/span><\/li>\n<li><span data-preserver-spaces=\"true\">It can be expressed as a fraction, percentage.\u00a0\u00a0<\/span><\/li>\n<li><span data-preserver-spaces=\"true\">A certain event that occur has a probability of 1 or 100%\u00a0\u00a0<\/span><\/li>\n<li><span data-preserver-spaces=\"true\">An event that will not occurs has a probability of zero.\u00a0\u00a0<\/span><\/li>\n<\/ul>\n<p><span data-preserver-spaces=\"true\"><strong>Conditional Probability:\u00a0<\/strong>\u00a0<\/span><\/p>\n<ul>\n<li><span data-preserver-spaces=\"true\">Conditional probability is the probability of one event occurring with some relationship to one or more other events.\u00a0\u00a0<\/span><\/li>\n<li><span data-preserver-spaces=\"true\">In probability theory, conditional probability is a measure of the probability of an event occurring, given that another event has already occurred.\u00a0<\/span><\/li>\n<li><span data-preserver-spaces=\"true\">The formula is based on the expression <strong>P(B) = P(B|A) P(A) + P(B|A) P(A)<\/strong> which simply states that the probability of event B is the sum of the conditional probabilities of event B Given that event A has or has not occurred.\u00a0\u00a0<\/span><\/li>\n<li><span data-preserver-spaces=\"true\">The three basic rules associated with Probability: the addition, multiplication, and complement rules.\u00a0\u00a0<\/span><\/li>\n<li><span data-preserver-spaces=\"true\">This Exercise is based on three probability properties.\u00a0\u00a0<\/span><\/li>\n<\/ul>\n<h3><span class=\"ez-toc-section\" id=\"conditional-probability-properties\"><\/span><strong>Conditional Probability Properties:<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p><span data-preserver-spaces=\"true\"><strong>Property 1:<\/strong> Let E and F be events of a sample space S of an experiment, then we have P(S|F) = P(F|F) = 1.\u00a0<\/span><\/p>\n<p><span data-preserver-spaces=\"true\"><strong>Property 2:<\/strong> f A and B are any two events of a sample space S and F is an event of S such that P(F) \u2260 0, then P((A \u222a B)|F) = P(A|F) + P(B|F) \u2013 P((A \u2229 B)|F).\u00a0<\/span><\/p>\n<p><span data-preserver-spaces=\"true\"><strong>Property 3:<\/strong> P(A\u2032|B) = 1 \u2212 P(A|B)\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\u00a0<\/span><span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p><span data-preserver-spaces=\"true\">Chapter 13: Exercise 13.2\u00a0\u00a0<\/span><\/p>\n<p><span data-preserver-spaces=\"true\">Chapter 13: Exercise 13.3\u00a0\u00a0<\/span><\/p>\n<p><span data-preserver-spaces=\"true\">Chapter 13: Exercise 13.4\u00a0\u00a0<\/span><\/p>\n<p><span data-preserver-spaces=\"true\">Chapter 13: Exercise 13.5\u00a0\u00a0<\/span><\/p>\n<p><span data-preserver-spaces=\"true\">Do not delay any more. Download the <a href=\"https:\/\/ncert.nic.in\/\" target=\"_blank\" rel=\"noopener\">NCERT<\/a> Solutions for Class 12 Maths Chapter 13 Exercise 13.1. All these solutions will be very helpful during the time of exam preparation.<\/span><\/p>\n<p><span data-preserver-spaces=\"true\">To score the best possible marks in the class, it is really important to understand all the concepts of the textbooks and solve the problems from the Exercise given in these solutions.\u00a0\u00a0<\/span><\/p>\n<h3><span class=\"ez-toc-section\" id=\"faq-ncert-solutions-class-12-maths-chapter-13-exercise-131\"><\/span><span data-preserver-spaces=\"true\">FAQ: NCERT Solutions Class 12 Maths Chapter 13 Exercise 13.1\u00a0\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-1622540380808\" 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 12 Maths Chapter 13 Exercise 13.1<\/p>\n\n<\/div>\n<\/div>\n<div id=\"faq-question-1622540383942\" class=\"rank-math-list-item\">\n<h3 class=\"rank-math-question \"><span class=\"ez-toc-section\" id=\"what-are-the-three-properties-of-conditional-probability\"><\/span>What are the three properties of Conditional probability?<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<div class=\"rank-math-answer \">\n\n<p>You can refer to the above article to look at the conditional Probability properties.<\/p>\n\n<\/div>\n<\/div>\n<div id=\"faq-question-1622540393131\" class=\"rank-math-list-item\">\n<h3 class=\"rank-math-question \"><span class=\"ez-toc-section\" id=\"can-i-download-this-pdf-for-free\"><\/span>Can I download this PDF for free?<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<div class=\"rank-math-answer \">\n\n<p>Yes, you can download this PDF for free.<\/p>\n\n<\/div>\n<\/div>\n<div id=\"faq-question-1622540418495\" class=\"rank-math-list-item\">\n<h3 class=\"rank-math-question \"><span class=\"ez-toc-section\" id=\"is-class-12-maths-tough\"><\/span>Is Class 12 Maths tough?<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<div class=\"rank-math-answer \">\n\n<p>Yes, the Maths exam is difficult. You need to prepare with full dedication to score good marks.<\/p>\n\n<\/div>\n<\/div>\n<div id=\"faq-question-1622540420697\" class=\"rank-math-list-item\">\n<h3 class=\"rank-math-question \"><span class=\"ez-toc-section\" id=\"is-probability-an-easy-chapter\"><\/span>Is Probability an easy chapter?<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<div class=\"rank-math-answer \">\n\n<p>Yes, Probability is an easy chapter.<\/p>\n\n<\/div>\n<\/div>\n<div id=\"faq-question-1622540486867\" class=\"rank-math-list-item\">\n<h3 class=\"rank-math-question \"><span class=\"ez-toc-section\" id=\"what-is-conditional-probability\"><\/span>What is conditional probability?<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<div class=\"rank-math-answer \">\n\n<p>In theory, conditional probability is a measure of the probability of an event occurring, given that another event has already occurred.<\/p>\n\n<\/div>\n<\/div>\n<div id=\"faq-question-1622540487962\" class=\"rank-math-list-item\">\n<h3 class=\"rank-math-question \"><span class=\"ez-toc-section\" id=\"can-i-open-these-pdfs-on-my-smartphone\"><\/span>Can I open these PDFs on my smartphone?<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<div class=\"rank-math-answer \">\n\n<p>Yes, you can open these PDFs on your smartphone.<\/p>\n\n<\/div>\n<\/div>\n<\/div>\n<\/div>","protected":false},"excerpt":{"rendered":"<p>NCERT Solutions Class 12 Maths Chapter 13 Exercise 13.1 is the important Exercise for Probability. This Exercise will provide you the introduction and conditional probability. However, there is no doubt that Probability is one of the most scoring Chapters in Class 12 Maths. You can easily have an idea about how to attempt the solutions &#8230; <a title=\"NCERT Solutions Class 12 Maths Chapter 13 Exercise 13.1\" class=\"read-more\" href=\"https:\/\/www.kopykitab.com\/blog\/ncert-solutions-class-12-maths-chapter-13-exercise-13-1\/\" aria-label=\"More on NCERT Solutions Class 12 Maths Chapter 13 Exercise 13.1\">Read more<\/a><\/p>\n","protected":false},"author":244,"featured_media":93921,"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":[73223,75456,75399],"amp_enabled":true,"_links":{"self":[{"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/posts\/93170"}],"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=93170"}],"version-history":[{"count":5,"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/posts\/93170\/revisions"}],"predecessor-version":[{"id":93941,"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/posts\/93170\/revisions\/93941"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/media\/93921"}],"wp:attachment":[{"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/media?parent=93170"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/categories?post=93170"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/tags?post=93170"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}