{"id":56331,"date":"2021-05-20T15:50:00","date_gmt":"2021-05-20T10:20:00","guid":{"rendered":"https:\/\/www.kopykitab.com\/blog\/?p=56331"},"modified":"2021-05-20T17:39:59","modified_gmt":"2021-05-20T12:09:59","slug":"ncert-solutions-for-class-12-maths-chapter-13-probability","status":"publish","type":"post","link":"https:\/\/www.kopykitab.com\/blog\/ncert-solutions-for-class-12-maths-chapter-13-probability\/","title":{"rendered":"NCERT Solutions for Class 12 Maths Chapter 13 Probability"},"content":{"rendered":"\n<p><strong>NCERT Solutions for Class 12 Maths Chapter 13:&nbsp;<\/strong>Probability refers to the likelihood of an event occurring. You can learn about probability in-depth in this chapter. You will gain a better knowledge of the problem-solving approach in Chapter 13 if you solve all of the questions from Probability <a href=\"https:\/\/www.kopykitab.com\/blog\/cbse-class-12-board-exam\/\"><strong>Class 12<\/strong><\/a> NCERT Solutions.<\/p>\n<ul>\n<li><strong>All you need to know about&nbsp;<a href=\"https:\/\/www.kopykitab.com\/blog\/cbse-class-12-maths-ncert-solutions\/\" target=\"_blank\" rel=\"noopener noreferrer\">NCERT Solutions Class 12 Maths<\/a><\/strong><\/li>\n<\/ul>\n<p>The Class 12 NCERT Solutions for the chapter Probability are very simple to grasp since KopyKitab&#8217;s experts make sure that the solutions are presented in the simplest form possible. Go through the blog to download the exercise-wise Probability Class 12 NCERT Solutions PDFs!<\/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-69d3fa6b01aaf\" 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-69d3fa6b01aaf\"><\/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-for-class-12-maths-chapter-13-probability\/#download-ncert-solutions-for-class-12-maths-chapter-13-probability-pdf\" title=\"Download NCERT Solutions for Class 12 Maths Chapter 13 Probability PDF\">Download NCERT Solutions for Class 12 Maths Chapter 13 Probability PDF<\/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-for-class-12-maths-chapter-13-probability\/#what-will-you-get-in-probability-class-12-ncert-solutions-for-class-12-maths\" title=\"What will you get in Probability Class 12 NCERT Solutions for Class 12 Maths?\">What will you get in Probability Class 12 NCERT Solutions for Class 12 Maths?<\/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-for-class-12-maths-chapter-13-probability\/#ncert-solutions-for-class-12-maths-chapter-13-exercises\" title=\"NCERT Solutions for Class 12 Maths Chapter 13 exercises-\">NCERT Solutions for Class 12 Maths Chapter 13 exercises-<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-4\" href=\"https:\/\/www.kopykitab.com\/blog\/ncert-solutions-for-class-12-maths-chapter-13-probability\/#cbse-chapter-13-class-12-maths-probability-131-introduction\" title=\"CBSE Chapter 13 Class 12 Maths- Probability: 13.1: Introduction\">CBSE Chapter 13 Class 12 Maths- Probability: 13.1: Introduction<\/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-for-class-12-maths-chapter-13-probability\/#cbse-chapter-13-class-12-maths-probability-132-conditional-probability\" title=\"CBSE Chapter 13 Class 12 Maths- Probability: 13.2: Conditional Probability\">CBSE Chapter 13 Class 12 Maths- Probability: 13.2: Conditional Probability<\/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-for-class-12-maths-chapter-13-probability\/#cbse-chapter-13-class-12-maths-probability-133-multiplication-theorem-on-probability\" title=\"CBSE Chapter 13 Class 12 Maths- Probability: 13.3: Multiplication Theorem on probability\">CBSE Chapter 13 Class 12 Maths- Probability: 13.3: Multiplication Theorem on probability<\/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-for-class-12-maths-chapter-13-probability\/#cbse-probability-ncert-solutions-class-12-134-independent-events\" title=\"CBSE Probability NCERT Solutions Class 12: 13.4:&nbsp; Independent Events\">CBSE Probability NCERT Solutions Class 12: 13.4:&nbsp; Independent Events<\/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-for-class-12-maths-chapter-13-probability\/#cbse-probability-ncert-solutions-class-12-135-bayes%e2%80%99-theorem\" title=\"CBSE Probability NCERT Solutions Class 12: 13.5:&nbsp; Bayes\u2019 theorem\">CBSE Probability NCERT Solutions Class 12: 13.5:&nbsp; Bayes\u2019 theorem<\/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-for-class-12-maths-chapter-13-probability\/#cbse-probability-ncert-solutions-class-12-136-random-variables-and-its-probability-distribution\" title=\"CBSE Probability NCERT Solutions Class 12: 13.6 Random Variables and its Probability distribution\">CBSE Probability NCERT Solutions Class 12: 13.6 Random Variables and its Probability distribution<\/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-for-class-12-maths-chapter-13-probability\/#cbse-probability-ncert-solutions-class-12-137-bernoulli-trial-and-binomial-distribution\" title=\"CBSE Probability NCERT Solutions Class 12: 13.7: Bernoulli Trial and Binomial Distribution\">CBSE Probability NCERT Solutions Class 12: 13.7: Bernoulli Trial and Binomial Distribution<\/a><\/li><\/ul><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-11\" href=\"https:\/\/www.kopykitab.com\/blog\/ncert-solutions-for-class-12-maths-chapter-13-probability\/#cbse-class-12-maths-chapter-13-important-theories-and-formulas\" title=\"CBSE Class 12 Maths- Chapter 13: Important theories and formulas\">CBSE Class 12 Maths- Chapter 13: Important theories and formulas<\/a><ul class='ez-toc-list-level-3'><li class='ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-12\" href=\"https:\/\/www.kopykitab.com\/blog\/ncert-solutions-for-class-12-maths-chapter-13-probability\/#also-access\" title=\"Also Access:\">Also Access:<\/a><\/li><\/ul><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-13\" href=\"https:\/\/www.kopykitab.com\/blog\/ncert-solutions-for-class-12-maths-chapter-13-probability\/#benefits-of-ncert-solutions-for-class-12-maths-chapter-13\" title=\"Benefits of NCERT Solutions for Class 12 Maths Chapter 13\">Benefits of NCERT Solutions for Class 12 Maths Chapter 13<\/a><ul class='ez-toc-list-level-4'><li class='ez-toc-heading-level-4'><ul class='ez-toc-list-level-4'><li class='ez-toc-heading-level-4'><a class=\"ez-toc-link ez-toc-heading-14\" href=\"https:\/\/www.kopykitab.com\/blog\/ncert-solutions-for-class-12-maths-chapter-13-probability\/#go-through-few-benefits-of-using-ncert-solutions-for-class-12-maths-chapter-13\" title=\"Go through few benefits of using NCERT Solutions for Class 12 Maths Chapter 13:\">Go through few benefits of using NCERT Solutions for Class 12 Maths Chapter 13:<\/a><\/li><\/ul><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-15\" href=\"https:\/\/www.kopykitab.com\/blog\/ncert-solutions-for-class-12-maths-chapter-13-probability\/#faqs-ncert-solutions-for-class-12-maths-chapter-13\" title=\"FAQs: NCERT Solutions for Class 12 Maths Chapter 13\">FAQs: NCERT Solutions for Class 12 Maths Chapter 13<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-16\" href=\"https:\/\/www.kopykitab.com\/blog\/ncert-solutions-for-class-12-maths-chapter-13-probability\/#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-17\" href=\"https:\/\/www.kopykitab.com\/blog\/ncert-solutions-for-class-12-maths-chapter-13-probability\/#how-many-questions-were-there-in-exercise-135-of-chapter-13-maths-class-12\" title=\"How many questions were there in exercise 13.5 of chapter 13 Maths class 12?\">How many questions were there in exercise 13.5 of chapter 13 Maths class 12?<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-18\" href=\"https:\/\/www.kopykitab.com\/blog\/ncert-solutions-for-class-12-maths-chapter-13-probability\/#can-i-get-an-overview-of-the-ch-13-maths-class-12-solutions-exercises\" title=\"Can I get an overview of the Ch 13 Maths Class 12 Solutions exercises?\">Can I get an overview of the Ch 13 Maths Class 12 Solutions exercises?<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-19\" href=\"https:\/\/www.kopykitab.com\/blog\/ncert-solutions-for-class-12-maths-chapter-13-probability\/#how-many-exercises-are-there-in-ncert-solutions-for-class-12-maths-chapter-13\" title=\"How many exercises are there in NCERT Solutions for Class 12 Maths Chapter 13?\">How many exercises are there in NCERT Solutions for Class 12 Maths Chapter 13?<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-20\" href=\"https:\/\/www.kopykitab.com\/blog\/ncert-solutions-for-class-12-maths-chapter-13-probability\/#where-can-i-download-maths-chapter-13-class-12-ncert-solutions\" title=\"Where can I download Maths Chapter 13 Class 12 NCERT solutions?\">Where can I download Maths Chapter 13 Class 12 NCERT solutions?<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-21\" href=\"https:\/\/www.kopykitab.com\/blog\/ncert-solutions-for-class-12-maths-chapter-13-probability\/#is-ncert-solution-for-class-12th-maths-sufficient-for-chapter-13-preparation\" title=\"Is NCERT Solution for Class 12th Maths sufficient for Chapter 13 preparation?\">Is NCERT Solution for Class 12th Maths sufficient for Chapter 13 preparation?<\/a><\/li><\/ul><\/li><\/ul><\/nav><\/div>\n<h2><span class=\"ez-toc-section\" id=\"download-ncert-solutions-for-class-12-maths-chapter-13-probability-pdf\"><\/span><strong>Download NCERT Solutions for Class 12 Maths Chapter 13 Probability PDF<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>NCERT Solutions for the questions in Chapter 13 Probability of the Class 12 NCERT textbooks are provided below:<\/p>\n<p><a href=\"https:\/\/www.kopykitab.com\/blog\/wp-content\/uploads\/2020\/10\/Class-12-Mathematics-Solutions-Chapter-13-1.pdf\">Class-12-Mathematics-Solutions-Chapter-13 pdf<\/a><\/p>\n<p>&nbsp;<\/p>\n<div id=\"example1\" style=\"text-align: justify;\">&nbsp;<\/div>\n<p style=\"text-align: justify;\"><style>\n.pdfobject-container { height: 500px;}<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\/2020\/10\/Class-12-Mathematics-Solutions-Chapter-13-1.pdf\", \"#example1\");<\/script><\/p>\n<h2><span class=\"ez-toc-section\" id=\"what-will-you-get-in-probability-class-12-ncert-solutions-for-class-12-maths\"><\/span><strong>What will you get in Probability Class 12 NCERT Solutions for Class 12 Maths?<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>Go through the subtopics discussed in NCERT Solutions for <a href=\"https:\/\/www.kopykitab.com\/blog\/cbse-class-12-maths\/\"><strong>Class 12 Maths<\/strong><\/a> Chapter 13:<\/p>\n<table style=\"width: 100%; height: 1065px;\" width=\"624\">\n<tbody>\n<tr style=\"height: 71px;\">\n<td style=\"height: 71px;\" width=\"109\">\n<p>13.1<\/p>\n<\/td>\n<td style=\"height: 71px;\" width=\"515\">\n<p>&nbsp;Introduction<\/p>\n<\/td>\n<\/tr>\n<tr style=\"height: 71px;\">\n<td style=\"height: 71px;\" width=\"109\">\n<p>13.2<\/p>\n<\/td>\n<td style=\"height: 71px;\" width=\"515\">\n<p>Conditional Probability<\/p>\n<\/td>\n<\/tr>\n<tr style=\"height: 71px;\">\n<td style=\"height: 71px;\" width=\"109\">\n<p>13.2.1<\/p>\n<\/td>\n<td style=\"height: 71px;\" width=\"515\">\n<p>Properties of conditional probability<\/p>\n<\/td>\n<\/tr>\n<tr style=\"height: 71px;\">\n<td style=\"height: 71px;\" width=\"109\">\n<p>13.3<\/p>\n<\/td>\n<td style=\"height: 71px;\" width=\"515\">\n<p>&nbsp;Multiplication Theorem on Probability<\/p>\n<\/td>\n<\/tr>\n<tr style=\"height: 71px;\">\n<td style=\"height: 71px;\" width=\"109\">\n<p>13.4<\/p>\n<\/td>\n<td style=\"height: 71px;\" width=\"515\">\n<p>Independent Events<\/p>\n<\/td>\n<\/tr>\n<tr style=\"height: 71px;\">\n<td style=\"height: 71px;\" width=\"109\">\n<p>13.5<\/p>\n<\/td>\n<td style=\"height: 71px;\" width=\"515\">\n<p>Bayes\u2019 Theorem<\/p>\n<\/td>\n<\/tr>\n<tr style=\"height: 71px;\">\n<td style=\"height: 71px;\" width=\"109\">\n<p>13.5.1<\/p>\n<\/td>\n<td style=\"height: 71px;\" width=\"515\">\n<p>Partition of a sample space<\/p>\n<\/td>\n<\/tr>\n<tr style=\"height: 71px;\">\n<td style=\"height: 71px;\" width=\"109\">\n<p>13.5.2<\/p>\n<\/td>\n<td style=\"height: 71px;\" width=\"515\">\n<p>Theorem of total probability<\/p>\n<\/td>\n<\/tr>\n<tr style=\"height: 71px;\">\n<td style=\"height: 71px;\" width=\"109\">\n<p>13.6<\/p>\n<\/td>\n<td style=\"height: 71px;\" width=\"515\">\n<p>Random Variables and its Probability Distributions<\/p>\n<\/td>\n<\/tr>\n<tr style=\"height: 71px;\">\n<td style=\"height: 71px;\" width=\"109\">\n<p>13.6.1<\/p>\n<\/td>\n<td style=\"height: 71px;\" width=\"515\">\n<p>Probability distribution of a random variable<\/p>\n<\/td>\n<\/tr>\n<tr style=\"height: 71px;\">\n<td style=\"height: 71px;\" width=\"109\">\n<p>13.6.2<\/p>\n<\/td>\n<td style=\"height: 71px;\" width=\"515\">\n<p>Mean of a random variable<\/p>\n<\/td>\n<\/tr>\n<tr style=\"height: 71px;\">\n<td style=\"height: 71px;\" width=\"109\">\n<p>13.6.3<\/p>\n<\/td>\n<td style=\"height: 71px;\" width=\"515\">\n<p>Variance of a random variable<\/p>\n<\/td>\n<\/tr>\n<tr style=\"height: 71px;\">\n<td style=\"height: 71px;\" width=\"109\">\n<p>13.7<\/p>\n<\/td>\n<td style=\"height: 71px;\" width=\"515\">\n<p>Bernoulli Trials and Binomial Distribution<\/p>\n<\/td>\n<\/tr>\n<tr style=\"height: 71px;\">\n<td style=\"height: 71px;\" width=\"109\">\n<p>13.7.1<\/p>\n<\/td>\n<td style=\"height: 71px;\" width=\"515\">\n<p>Bernoulli trials<\/p>\n<\/td>\n<\/tr>\n<tr style=\"height: 71px;\">\n<td style=\"height: 71px;\" width=\"109\">\n<p>13.7.2<\/p>\n<\/td>\n<td style=\"height: 71px;\" width=\"515\">\n<p>&nbsp;Binomial distribution<\/p>\n<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<h3><span class=\"ez-toc-section\" id=\"ncert-solutions-for-class-12-maths-chapter-13-exercises\"><\/span><strong>NCERT Solutions for Class 12 Maths Chapter 13 exercises-<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h3>\n<table width=\"624\">\n<tbody>\n<tr>\n<td width=\"312\">\n<p>Exercise Solutions 13.1<\/p>\n<\/td>\n<td width=\"312\">\n<p>17 Questions<\/p>\n<\/td>\n<\/tr>\n<tr>\n<td width=\"312\">\n<p>Exercise Solutions 13.2<\/p>\n<\/td>\n<td width=\"312\">\n<p>18 Questions<\/p>\n<\/td>\n<\/tr>\n<tr>\n<td width=\"312\">\n<p>Exercise Solutions 13.3<\/p>\n<\/td>\n<td width=\"312\">\n<p>14 Questions<\/p>\n<\/td>\n<\/tr>\n<tr>\n<td width=\"312\">\n<p>Exercise Solutions 13.4<\/p>\n<\/td>\n<td width=\"312\">\n<p>17 Questions<\/p>\n<\/td>\n<\/tr>\n<tr>\n<td width=\"312\">\n<p>Exercise Solutions 13.5<\/p>\n<\/td>\n<td width=\"312\">\n<p>15 Questions<\/p>\n<\/td>\n<\/tr>\n<tr>\n<td width=\"312\">\n<p>Misc.Exercise Solutions 13.6<\/p>\n<\/td>\n<td width=\"312\">\n<p>10 Questions<\/p>\n<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<h3><span class=\"ez-toc-section\" id=\"cbse-chapter-13-class-12-maths-probability-131-introduction\"><\/span><strong>CBSE Chapter 13 Class 12 Maths- Probability: 13.1: Introduction<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>This section will teach you about the concepts about conditional probability, which will eventually help you work on Bayes\u2019 theorem, independence of events along multiplication rule in probability. Well, there is more to study from this chapter, for now; let\u2019s proceed with the next section which is a conditional probability.<\/p>\n<h3><span class=\"ez-toc-section\" id=\"cbse-chapter-13-class-12-maths-probability-132-conditional-probability\"><\/span><strong>CBSE Chapter 13 Class 12 Maths- Probability: 13.2: Conditional Probability<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>This section is simple and teaches you about how one single event might be responsible for changing the events of another corresponding event. The chapter covers all the minute details depicting the situation with quality examples which will be sufficient to get a thorough idea to work with the sums.<\/p>\n<h3><span class=\"ez-toc-section\" id=\"cbse-chapter-13-class-12-maths-probability-133-multiplication-theorem-on-probability\"><\/span><strong>CBSE Chapter 13 Class 12 Maths- Probability: 13.3: Multiplication Theorem on probability<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>Once you learned and understood the conditional probability, getting to know and study this notion becomes a lot easier.<strong> Probability NCERT Solutions Class 12<\/strong> is a substantial study resource. Therefore with this course content students are bound to grasp the topic in no time. Additionally, since the chapter is practical in tone, make sure to maintain a regular practice session.<\/p>\n<h3><span class=\"ez-toc-section\" id=\"cbse-probability-ncert-solutions-class-12-134-independent-events\"><\/span><strong>CBSE Probability NCERT Solutions Class 12: 13.4:&nbsp; Independent Events<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>This section talks about those events which occur without affecting any other of that sort. Take, for instance, you flip a coin, you already assume that there is a general outcome of the event. Either it\u2019s a tail or a head, isn\u2019t it? And in each situation, none of the events affects the other.<\/p>\n<p>With a thorough study session on the NCERT Solutions for Class 12 Maths Chapter 13 and several practice sessions we assure you, you will get every corner of the section competently.<\/p>\n<h3><span class=\"ez-toc-section\" id=\"cbse-probability-ncert-solutions-class-12-135-bayes%e2%80%99-theorem\"><\/span><strong>CBSE <\/strong><strong>Probability NCERT Solutions Class 12: <\/strong><strong>13.5:&nbsp; Bayes\u2019 theorem<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>This section introduces you to Bayes\u2019 theorem which teaches about the probability of an event occurring which is relevant to any conditions. Well, this situation often resembles conditional probability.<\/p>\n<p>Take, for instance, you own a bag that has three balls of three different colors, which are blue, yellow, and red. You will have to estimate the probability of taking out the number of yellow balls from the three colors. In this situation, the event occurring is measured depending on the other probable conditions which is the conditional probability.&nbsp;<\/p>\n<h3><span class=\"ez-toc-section\" id=\"cbse-probability-ncert-solutions-class-12-136-random-variables-and-its-probability-distribution\"><\/span><strong>CBSE <\/strong><strong>Probability NCERT Solutions Class 12: <\/strong><strong>13.6 Random Variables and its Probability distribution<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>The probability of distribution of a random value is what determines the probability of its value which is unknown. A random variable can either be continuous or discrete or both. The chapter is loaded with many interesting notions for you to discover once you grab your NCERT Solutions for Class 12 Maths Chapter 13 from here.<\/p>\n<h3><span class=\"ez-toc-section\" id=\"cbse-probability-ncert-solutions-class-12-137-bernoulli-trial-and-binomial-distribution\"><\/span><strong>CBSE <\/strong><strong>Probability NCERT Solutions Class 12: <\/strong><strong>13.7: Bernoulli Trial and Binomial Distribution<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>Here in this portion of the chapter, you will get a close look at the Bernoulli trial and Binomial distribution but in brief. Bernoulli trial or binomial trial comes out with only two possible results. Get yourself CBSE class 12 maths &#8211; chapter 13 pdf to jet start your exams preparation right here, right now.<\/p>\n<h2><span class=\"ez-toc-section\" id=\"cbse-class-12-maths-chapter-13-important-theories-and-formulas\"><\/span><strong>CBSE Class 12 Maths- Chapter 13: Important theories and formulas<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h2>\n<ol>\n<li>0 \u2264 P (E|F) \u2264 1, P (E\u2032|F) = 1 \u2013 P (E|F)P ((E \u222a F)|G) = P (E|G) + P (F|G) \u2013 P ((E \u2229 F)|G)<\/li>\n<li>P (E \u2229 F) = P (E) P (F|E), P (E) \u2260 0P (E \u2229 F) = P (F) P (E|F), P (F) \u2260 0<\/li>\n<li>If E and F are independent, thenP (E \u2229 F) = P (E) P (F)P (E|F) = P (E), P (F) \u2260 0P (F|E) = P (F), P(E) \u2260 0<\/li>\n<li>Theorem of total probability<\/li>\n<li>Bayes\u2019 theorem<\/li>\n<li>A random variable is a real-valued function whose domain is the sample space of a random experiment.<\/li>\n<li>Var (X) = E (X2) \u2013 [E(X)]2<\/li>\n<li>Trials of a random experiment are called Bernoulli trials if they satisfy the<\/li>\n<li>following conditions :\n<ol>\n<li>There should be a finite number of trials.<\/li>\n<li>The trials should be independent.<\/li>\n<li>Each trial has exactly two outcomes: success or failure.<\/li>\n<li>The probability of success remains the same in each trial.<\/li>\n<\/ol>\n<\/li>\n<\/ol>\n<h3><span class=\"ez-toc-section\" id=\"also-access\"><\/span><em><strong>Also Access:<\/strong><\/em><span class=\"ez-toc-section-end\"><\/span><\/h3>\n<div class=\"content-box-orange\">\n<ul>\n<li><a href=\"https:\/\/www.kopykitab.com\/blog\/cbse-class-12-maths-syllabus\/\"><strong>CBSE Class 12 Maths Syllabus<\/strong><\/a><\/li>\n<li><a href=\"https:\/\/www.kopykitab.com\/blog\/cbse-class-12-maths-sample-papers\/\"><strong>CBSE Class 12 Maths Sample Papers<\/strong><\/a><\/li>\n<li><a href=\"https:\/\/www.kopykitab.com\/blog\/cbse-class-12-maths-previous-year-papers\/\"><strong>CBSE Class 12 Maths Previous year Papers<\/strong><\/a><\/li>\n<li><a href=\"https:\/\/www.kopykitab.com\/blog\/cbse-class-12-maths-rd-sharma-solutions\/\"><strong>CBSE Class 12 Maths RD Sharma Solutions<\/strong><\/a><\/li>\n<li><a href=\"https:\/\/www.kopykitab.com\/blog\/cbse-class-12-maths-rs-aggarwal-solutions\/\"><strong>CBSE Class 12 Maths RS Aggarwal Solutions<\/strong><\/a><\/li>\n<li><a href=\"https:\/\/www.kopykitab.com\/blog\/cbse-class-12-maths-revision-notes\/\"><strong>CBSE Class 12 Maths Revision Notes<\/strong><\/a><\/li>\n<li><a href=\"https:\/\/www.kopykitab.com\/blog\/cbse-class-12-maths-formulas\/\"><strong>CBSE Class 12 Maths Formulas<\/strong><\/a><\/li>\n<\/ul>\n<\/div>\n<h2><span class=\"ez-toc-section\" id=\"benefits-of-ncert-solutions-for-class-12-maths-chapter-13\"><\/span><strong>Benefits of NCERT Solutions for Class 12 Maths Chapter 13<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h2>\n<h4><span class=\"ez-toc-section\" id=\"go-through-few-benefits-of-using-ncert-solutions-for-class-12-maths-chapter-13\"><\/span>Go through few benefits of using NCERT Solutions for Class 12 Maths Chapter 13:<span class=\"ez-toc-section-end\"><\/span><\/h4>\n<ol>\n<li>Assist students with their homework and competitive tests.<\/li>\n<li>Content is well-structured.<\/li>\n<li>Assist students in reinforcing their fundamental understanding of probability.<\/li>\n<li>Subject expertise assisted in the preparation of these NCERT Solutions.<\/li>\n<\/ol>\n<p><strong>Well, we have jotted down every possible point for <a href=\"https:\/\/cbse.nic.in\/\" target=\"_blank\" rel=\"noopener noreferrer\">CBSE<\/a> from NCERT Solutions for Class 12 Maths Chapter 13. Still, if you have any queries, feel free to ask in the comment section below.<\/strong><\/p>\n<h3><span class=\"ez-toc-section\" id=\"faqs-ncert-solutions-for-class-12-maths-chapter-13\"><\/span><strong>FAQs: NCERT Solutions for Class 12 Maths Chapter 13<\/strong><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-1621496671192\" 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>Conditional probability describes the likelihood of events that occur in relation to one or more other events.<\/p>\n\n<\/div>\n<\/div>\n<div id=\"faq-question-1621496780576\" class=\"rank-math-list-item\">\n<h3 class=\"rank-math-question \"><span class=\"ez-toc-section\" id=\"how-many-questions-were-there-in-exercise-135-of-chapter-13-maths-class-12\"><\/span>How many questions were there in exercise 13.5 of chapter 13 Maths class 12?<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<div class=\"rank-math-answer \">\n\n<p>There are a total of 15 questions in exercise 13.5 of chapter 13 Maths class 12.<\/p>\n\n<\/div>\n<\/div>\n<div id=\"faq-question-1621496868315\" class=\"rank-math-list-item\">\n<h3 class=\"rank-math-question \"><span class=\"ez-toc-section\" id=\"can-i-get-an-overview-of-the-ch-13-maths-class-12-solutions-exercises\"><\/span>Can I get an overview of the Ch 13 Maths Class 12 Solutions exercises?<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<div class=\"rank-math-answer \">\n\n<p>Yes. You can receive an overview of the Ch 13 Maths Class 12 Solutions exercises from the above blog.<\/p>\n\n<\/div>\n<\/div>\n<div id=\"faq-question-1621496922373\" class=\"rank-math-list-item\">\n<h3 class=\"rank-math-question \"><span class=\"ez-toc-section\" id=\"how-many-exercises-are-there-in-ncert-solutions-for-class-12-maths-chapter-13\"><\/span>How many exercises are there in NCERT Solutions for Class 12 Maths Chapter 13?<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<div class=\"rank-math-answer \">\n\n<p>In total, there are 5 exercises in Chapter 10 Class 12 Maths.<\/p>\n\n<\/div>\n<\/div>\n<div id=\"faq-question-1621497038567\" class=\"rank-math-list-item\">\n<h3 class=\"rank-math-question \"><span class=\"ez-toc-section\" id=\"where-can-i-download-maths-chapter-13-class-12-ncert-solutions\"><\/span>Where can I download Maths Chapter 13 Class 12 NCERT solutions?<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<div class=\"rank-math-answer \">\n\n<p>You can download NCERT Solutions for Class 12 Maths Chapter 13 from the above blog.<\/p>\n\n<\/div>\n<\/div>\n<div id=\"faq-question-1621497078750\" class=\"rank-math-list-item\">\n<h3 class=\"rank-math-question \"><span class=\"ez-toc-section\" id=\"is-ncert-solution-for-class-12th-maths-sufficient-for-chapter-13-preparation\"><\/span>Is NCERT Solution for Class 12th Maths sufficient for Chapter 13 preparation?<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<div class=\"rank-math-answer \">\n\n<p>Yes. NCERT Solution for Class 12th Maths is sufficient for Chapter 13 preparation.<\/p>\n\n<\/div>\n<\/div>\n<\/div>\n<\/div>","protected":false},"excerpt":{"rendered":"<p>NCERT Solutions for Class 12 Maths Chapter 13:&nbsp;Probability refers to the likelihood of an event occurring. You can learn about probability in-depth in this chapter. You will gain a better knowledge of the problem-solving approach in Chapter 13 if you solve all of the questions from Probability Class 12 NCERT Solutions. All you need to &#8230; <a title=\"NCERT Solutions for Class 12 Maths Chapter 13 Probability\" class=\"read-more\" href=\"https:\/\/www.kopykitab.com\/blog\/ncert-solutions-for-class-12-maths-chapter-13-probability\/\" aria-label=\"More on NCERT Solutions for Class 12 Maths Chapter 13 Probability\">Read more<\/a><\/p>\n","protected":false},"author":238,"featured_media":56965,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"fifu_image_url":"","fifu_image_alt":""},"categories":[2934,2917,73413,2985,73410],"tags":[73226,62040,3429,3570,75043],"amp_enabled":true,"_links":{"self":[{"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/posts\/56331"}],"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\/238"}],"replies":[{"embeddable":true,"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/comments?post=56331"}],"version-history":[{"count":4,"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/posts\/56331\/revisions"}],"predecessor-version":[{"id":90490,"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/posts\/56331\/revisions\/90490"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/media\/56965"}],"wp:attachment":[{"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/media?parent=56331"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/categories?post=56331"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/tags?post=56331"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}