{"id":93197,"date":"2021-06-04T15:40:33","date_gmt":"2021-06-04T10:10:33","guid":{"rendered":"https:\/\/www.kopykitab.com\/blog\/?p=93197"},"modified":"2021-06-04T15:40:38","modified_gmt":"2021-06-04T10:10:38","slug":"ncert-solutions-class-12-maths-chapter-13-exercise-13-5","status":"publish","type":"post","link":"https:\/\/www.kopykitab.com\/blog\/ncert-solutions-class-12-maths-chapter-13-exercise-13-5\/","title":{"rendered":"NCERT Solutions Class 12 Maths Chapter 13 Exercise 13.5"},"content":{"rendered":"\n<p><span data-preserver-spaces=\"true\">NCERT Solutions Class 12 Maths Chapter 13 Exercise 13.5 is based on the Bernoulli trials and binomial distribution. It is considered as one of the most important Exercises for the NCERT Class 12 Maths Chapter 13. In this exercise students find problems to find out the correct answer in Explained manner. These solutions in the PDF are created by our experts so you can easily rely on them. However, solving the problems of this Exercise will help you to gain an upper hand on these topics. You can have a look over these topics in detail in this article.\u00a0\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 13.5<\/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-69d7797f8bd6e\" 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-69d7797f8bd6e\"><\/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-13-5\/#download-free-pdf-for-ncert-solutions-class-12-maths-chapter-13-exercise-135\" title=\"Download Free PDF for NCERT Solutions Class 12 Maths Chapter 13 Exercise 13.5\u00a0\">Download Free PDF for NCERT Solutions Class 12 Maths Chapter 13 Exercise 13.5\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-13-5\/#detailed-topics-included-in-ncert-solutions-class-12-maths-chapter-13-exercise-135\" title=\"Detailed topics included in NCERT Solutions Class 12 Maths Chapter 13 Exercise 13.5\u00a0\">Detailed topics included in NCERT Solutions Class 12 Maths Chapter 13 Exercise 13.5\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-13-5\/#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-13-5\/#faq-ncert-solutions-class-12-maths-chapter-13-exercise-135\" title=\"FAQ:  NCERT Solutions Class 12 Maths Chapter 13 Exercise 13.5\">FAQ:  NCERT Solutions Class 12 Maths Chapter 13 Exercise 13.5<\/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-13-5\/#how-many-questions-are-there-in-ncert-solutions-class-12-maths-chapter-13-exercise-135\" title=\"How many questions are there in NCERT Solutions Class 12 Maths Chapter 13 Exercise 13.5?\">How many questions are there in NCERT Solutions Class 12 Maths Chapter 13 Exercise 13.5?<\/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-13-5\/#what-are-the-topics-included-in-this-exercise\" title=\"What are the topics included in this exercise?\">What are the topics included in this exercise?<\/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-13-5\/#can-i-download-this-pdf\" title=\"Can I download this PDF?\">Can I download this PDF?<\/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-13-5\/#can-i-rely-on-these-solutions\" title=\"Can I rely on these Solutions?\">Can I rely on these Solutions?<\/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-13-5\/#what-is-bernoulli-trails\" title=\"What is Bernoulli Trails? \">What is Bernoulli Trails? <\/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-13-5\/#what-is-binomial-distribution\" title=\"What is binomial distribution? \">What is binomial distribution? <\/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-13-5\/#are-these-solutions-explained\" title=\"Are these solutions explained?\">Are these solutions explained?<\/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-135\"><\/span><span data-preserver-spaces=\"true\">Download Free PDF for NCERT Solutions Class 12 Maths Chapter 13 Exercise 13.5\u00a0<\/span><span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p><a href=\"https:\/\/www.kopykitab.com\/blog\/wp-content\/uploads\/2021\/06\/13.5.pdf\" target=\"_blank\" rel=\"noopener\">NCERT Solutions Class 12 Maths Chapter 13 Exercise 13.5<\/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\/13.5.pdf\", \"#example1\");<\/script><\/p>\n<h2><span class=\"ez-toc-section\" id=\"detailed-topics-included-in-ncert-solutions-class-12-maths-chapter-13-exercise-135\"><\/span><span data-preserver-spaces=\"true\">Detailed topics included in NCERT Solutions Class 12 Maths Chapter 13 Exercise 13.5\u00a0<\/span><span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p><strong>Bernoulli trials:\u00a0\u00a0<\/strong><span data-preserver-spaces=\"true\">Bernoulli trials of a random experiment are called Bernoulli Trials. However, this experiment need to satisfy these conditions:-\u00a0\u00a0<\/span><\/p>\n<ul>\n<li><span data-preserver-spaces=\"true\">There should be a finite number of trials.\u00a0\u00a0<\/span><\/li>\n<li><span data-preserver-spaces=\"true\">The trials should be independent.\u00a0\u00a0<\/span><\/li>\n<li><span data-preserver-spaces=\"true\">Each trial has exactly two outcomes such as success or failure\u00a0\u00a0<\/span><\/li>\n<li><span data-preserver-spaces=\"true\">The probability of success remains the same in each trial.\u00a0\u00a0<\/span><\/li>\n<\/ul>\n<p><span data-preserver-spaces=\"true\">Each trial has effects heads (fulfillment) and tails (failure). The chance of fulfillment on every trial is p = half and the chance of failure is q = 1 \u2212 half=half. We are interested in the variable X which counts the wide variety of successes in 12 trials. This is an instance of a Bernoulli Experiment with 12 trials.\u00a0<\/span><\/p>\n<p><span data-preserver-spaces=\"true\">Binomial distribution: The binomial distribution is the discrete probability distribution that gives only two possible results in an experiment, either success or failure.<\/span><\/p>\n<p><span data-preserver-spaces=\"true\">The residences of the binomial distribution are: There are feasible outcomes: genuine or false, fulfillment or failure, sure or no. There is \u2018n\u2019 variety of impartial trials or a hard and fast variety of n instances repeated trials. The possibility of fulfillment or failure varies for every trial. Only the variety of fulfillment is calculated out of n impartial trials. Every trial is an impartial trial, this means that the final results of 1 trial do now no longer affect the final results of every other trial.\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\u00a0<\/span><\/a><\/p>\n<p><a href=\"https:\/\/www.kopykitab.com\/blog\/ncert-solutions-class-12-maths-chapter-13-exercise-13-3\/\"><span data-preserver-spaces=\"true\">Chapter 13: Exercise 13.3\u00a0<\/span><\/a><\/p>\n<p><a href=\"https:\/\/www.kopykitab.com\/blog\/ncert-solutions-class-12-maths-chapter-13-exercise-13-4\/\"><span data-preserver-spaces=\"true\">Chapter 13: Exercise 13.4\u00a0<\/span><\/a><\/p>\n<p><span data-preserver-spaces=\"true\">Don\u2019t wait any longer. Download the <a href=\"https:\/\/ncert.nic.in\/\" target=\"_blank\" rel=\"noopener\">NCERT<\/a> answer for workout 13.5 in Chapter 13 of Mathematics for kind 12. All those answers could be of extraordinary assist at some stage in the practice of the exam. <\/span><\/p>\n<p><span data-preserver-spaces=\"true\">To get the fine rating in class, it&#8217;s miles very essential to recognize all of the principles withinside the textbook and to clear up the issues <\/span><span data-preserver-spaces=\"true\">withinside the sporting events given in those answers.\u00a0<\/span><\/p>\n<h3><span class=\"ez-toc-section\" id=\"faq-ncert-solutions-class-12-maths-chapter-13-exercise-135\"><\/span>FAQ: <span data-preserver-spaces=\"true\"> NCERT Solutions Class 12 Maths C<\/span><span data-preserver-spaces=\"true\">hapter 13 Exercise 13.5<\/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-1622550431320\" 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-135\"><\/span>How many questions are there in NCERT Solutions Class 12 Maths Chapter 13 Exercise 13.5?<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<div class=\"rank-math-answer \">\n\n<p>There are 15 question in NCERT Solutions Class 12 Maths Chapter 13 Exercise 13.5.<\/p>\n\n<\/div>\n<\/div>\n<div id=\"faq-question-1622550463816\" class=\"rank-math-list-item\">\n<h3 class=\"rank-math-question \"><span class=\"ez-toc-section\" id=\"what-are-the-topics-included-in-this-exercise\"><\/span>What are the topics included in this exercise?<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 have a look on the topics included in this exercise.<\/p>\n\n<\/div>\n<\/div>\n<div id=\"faq-question-1622550494724\" class=\"rank-math-list-item\">\n<h3 class=\"rank-math-question \"><span class=\"ez-toc-section\" id=\"can-i-download-this-pdf\"><\/span>Can I download this PDF?<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<div class=\"rank-math-answer \">\n\n<p>Yes, you can download this PDF. <\/p>\n\n<\/div>\n<\/div>\n<div id=\"faq-question-1622550503098\" class=\"rank-math-list-item\">\n<h3 class=\"rank-math-question \"><span class=\"ez-toc-section\" id=\"can-i-rely-on-these-solutions\"><\/span>Can I rely on these Solutions?<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<div class=\"rank-math-answer \">\n\n<p>Yes, you can definitely rely on these solutions.  <\/p>\n\n<\/div>\n<\/div>\n<div id=\"faq-question-1622550516163\" class=\"rank-math-list-item\">\n<h3 class=\"rank-math-question \"><span class=\"ez-toc-section\" id=\"what-is-bernoulli-trails\"><\/span>What is Bernoulli Trails? <span class=\"ez-toc-section-end\"><\/span><\/h3>\n<div class=\"rank-math-answer \">\n\n<p>Bernoulli trials of a random experiment are called Bernoulli Trials.<\/p>\n\n<\/div>\n<\/div>\n<div id=\"faq-question-1622550530983\" class=\"rank-math-list-item\">\n<h3 class=\"rank-math-question \"><span class=\"ez-toc-section\" id=\"what-is-binomial-distribution\"><\/span>What is binomial distribution? <span class=\"ez-toc-section-end\"><\/span><\/h3>\n<div class=\"rank-math-answer \">\n\n<p>The binomial distribution is the discrete probability distribution that gives only two possible results in an experiment, either success or failure.<\/p>\n\n<\/div>\n<\/div>\n<div id=\"faq-question-1622550532083\" class=\"rank-math-list-item\">\n<h3 class=\"rank-math-question \"><span class=\"ez-toc-section\" id=\"are-these-solutions-explained\"><\/span>Are these solutions explained?<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<div class=\"rank-math-answer \">\n\n<p>Yes, solutions available in PDF are explained. <\/p>\n\n<\/div>\n<\/div>\n<\/div>\n<\/div>","protected":false},"excerpt":{"rendered":"<p>NCERT Solutions Class 12 Maths Chapter 13 Exercise 13.5 is based on the Bernoulli trials and binomial distribution. It is considered as one of the most important Exercises for the NCERT Class 12 Maths Chapter 13. In this exercise students find problems to find out the correct answer in Explained manner. These solutions in the &#8230; <a title=\"NCERT Solutions Class 12 Maths Chapter 13 Exercise 13.5\" class=\"read-more\" href=\"https:\/\/www.kopykitab.com\/blog\/ncert-solutions-class-12-maths-chapter-13-exercise-13-5\/\" aria-label=\"More on NCERT Solutions Class 12 Maths Chapter 13 Exercise 13.5\">Read more<\/a><\/p>\n","protected":false},"author":244,"featured_media":93930,"comment_status":"open","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"fifu_image_url":"","fifu_image_alt":""},"categories":[73413,2917,73693,2985,73410],"tags":[73223,75488,75043],"amp_enabled":true,"_links":{"self":[{"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/posts\/93197"}],"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=93197"}],"version-history":[{"count":4,"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/posts\/93197\/revisions"}],"predecessor-version":[{"id":93958,"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/posts\/93197\/revisions\/93958"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/media\/93930"}],"wp:attachment":[{"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/media?parent=93197"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/categories?post=93197"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/tags?post=93197"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}