{"id":1097,"date":"2021-12-17T16:36:15","date_gmt":"2021-12-17T11:06:15","guid":{"rendered":"https:\/\/infinitylearn.com\/surge\/?p=1097"},"modified":"2023-04-05T16:32:11","modified_gmt":"2023-04-05T11:02:11","slug":"study-materials-ncert-solutions-class-12-maths-chapter-13-probability","status":"publish","type":"post","link":"https:\/\/infinitylearn.com\/surge\/study-materials\/ncert-solutions\/class-12\/maths\/chapter-13-probability\/","title":{"rendered":"NCERT Solutions for Class 12 Maths Chapter 13 Probability"},"content":{"rendered":"<div id=\"ez-toc-container\" class=\"ez-toc-v2_0_37 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\" style=\"display: none;\"><label for=\"item\" aria-label=\"Table of Content\"><span style=\"display: flex;align-items: center;width: 35px;height: 30px;justify-content: center;\"><svg style=\"fill: #999;color:#999\" 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: #999;color:#999\" 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\"><\/a><\/span><\/div>\n<nav><ul class='ez-toc-list ez-toc-list-level-1' style='display:block'><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-1\" href=\"https:\/\/infinitylearn.com\/surge\/study-materials\/ncert-solutions\/class-12\/maths\/chapter-13-probability\/#NCERT_Solutions_for_Class_12_Maths_Chapter_13_Probability\" title=\"NCERT Solutions for Class 12 Maths Chapter 13 Probability \">NCERT Solutions for Class 12 Maths Chapter 13 Probability <\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-2\" href=\"https:\/\/infinitylearn.com\/surge\/study-materials\/ncert-solutions\/class-12\/maths\/chapter-13-probability\/#Frequently_Asked_Questions_on_NCERT_Solutions_for_Class_12_Maths_Chapter_13\" title=\"Frequently Asked Questions on NCERT Solutions for Class 12 Maths Chapter 13\">Frequently Asked Questions on NCERT Solutions for Class 12 Maths Chapter 13<\/a><ul class='ez-toc-list-level-5'><li class='ez-toc-heading-level-5'><ul class='ez-toc-list-level-5'><li class='ez-toc-heading-level-5'><ul class='ez-toc-list-level-5'><li class='ez-toc-heading-level-5'><a class=\"ez-toc-link ez-toc-heading-3\" href=\"https:\/\/infinitylearn.com\/surge\/study-materials\/ncert-solutions\/class-12\/maths\/chapter-13-probability\/#Where_can_I_get_NCERT_Solutions_for_Class_12_Maths_Chapter_12_online\" title=\"Where can I get NCERT Solutions for Class 12 Maths Chapter 12 online?\">Where can I get NCERT Solutions for Class 12 Maths Chapter 12 online?<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-5'><a class=\"ez-toc-link ez-toc-heading-4\" href=\"https:\/\/infinitylearn.com\/surge\/study-materials\/ncert-solutions\/class-12\/maths\/chapter-13-probability\/#Explain_the_concept_of_conditional_probability_in_Chapter_13_of_NCERT_Solutions_for_Class_12_Maths\" title=\"Explain the concept of conditional probability in Chapter 13 of NCERT Solutions for Class 12 Maths?\">Explain the concept of conditional probability in Chapter 13 of NCERT Solutions for Class 12 Maths?<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-5'><a class=\"ez-toc-link ez-toc-heading-5\" href=\"https:\/\/infinitylearn.com\/surge\/study-materials\/ncert-solutions\/class-12\/maths\/chapter-13-probability\/#Why_NCERT_Solutions_for_Class_12_Maths_Chapter_13_is_beneficial_for_the_students_to_score_well_in_the_second_term_exams\" title=\"Why NCERT Solutions for Class 12 Maths Chapter 13 is beneficial for the students to score well in the second term exams?\">Why NCERT Solutions for Class 12 Maths Chapter 13 is beneficial for the students to score well in the second term exams?<\/a><\/li><\/ul><\/li><\/ul><\/li><\/ul><\/li><\/ul><\/nav><\/div>\n<p><span data-contrast=\"auto\">Subject specialists have created NCERT Solutions for Class 12 Maths Chapter 13 Probability, including thorough solutions for reference. All of the questions from the textbook&#8217;s exercises are answered here. Students can use these answers to help them prepare for their exams. The NCERT Solutions for Class 12 provide useful solutions for improving conceptual knowledge.<\/span><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335551550&quot;:6,&quot;335551620&quot;:6,&quot;335559738&quot;:240,&quot;335559739&quot;:160,&quot;335559740&quot;:256}\"> <\/span><\/p>\n<p><span data-contrast=\"auto\">The solutions are carefully solved using student-friendly terms while still adhering to the norms that must be followed when solving NCERT Solutions for Class12. Practicing these answers can be incredibly advantageous not only in exams but also in helping Class 12pupils perform well in upcoming competitive exams.<\/span><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335551550&quot;:6,&quot;335551620&quot;:6,&quot;335559738&quot;:240,&quot;335559739&quot;:160,&quot;335559740&quot;:256}\"> <\/span><\/p>\n<p><span data-contrast=\"auto\">The approaches for answering have been given special consideration to stay on target while not deviating from the intended answer. Because time is so important in exams, excellent time management is essential for getting the best results when answering questions.<\/span><\/p>\n<table style=\"border-collapse: collapse; width: 100%; height: 138px;\">\n<tbody>\n<tr style=\"height: 23px;\">\n<td style=\"width: 100%; height: 23px;\"><span style=\"color: #0000ff;\"><a style=\"color: #0000ff;\" href=\"https:\/\/infinitylearn.com\/surge\/study-materials\/ncert-solutions\/class-12\/maths\/chapter-13-probability-exercise-13-1\/\" target=\"_blank\" rel=\"noopener\">Exercise 13.1 solutions<\/a><\/span><\/td>\n<\/tr>\n<tr style=\"height: 23px;\">\n<td style=\"width: 100%; height: 23px;\"><span style=\"color: #0000ff;\"><a style=\"color: #0000ff;\" href=\"https:\/\/infinitylearn.com\/surge\/study-materials\/ncert-solutions\/class-12\/maths\/chapter-13-probability-exercise-13-2\/\" target=\"_blank\" rel=\"noopener\">Exercise 13.2 solutions<\/a><\/span><\/td>\n<\/tr>\n<tr style=\"height: 23px;\">\n<td style=\"width: 100%; height: 23px;\"><span style=\"color: #0000ff;\"><a style=\"color: #0000ff;\" href=\"https:\/\/infinitylearn.com\/surge\/study-materials\/ncert-solutions\/class-12\/maths\/chapter-13-probability-exercise-13-3\/\" target=\"_blank\" rel=\"noopener\">Exercise 13.3 solutions<\/a><\/span><\/td>\n<\/tr>\n<tr style=\"height: 23px;\">\n<td style=\"width: 100%; height: 23px;\"><span style=\"color: #0000ff;\"><a style=\"color: #0000ff;\" href=\"https:\/\/infinitylearn.com\/surge\/study-materials\/ncert-solutions\/class-12\/maths\/chapter-13-probability-exercise-13-4\/\" target=\"_blank\" rel=\"noopener\">Exercise 13.4 solutions<\/a><\/span><\/td>\n<\/tr>\n<tr style=\"height: 23px;\">\n<td style=\"width: 100%; height: 23px;\"><span style=\"color: #0000ff;\"><a style=\"color: #0000ff;\" href=\"https:\/\/infinitylearn.com\/surge\/study-materials\/ncert-solutions\/class-12\/maths\/chapter-13-probability-exercise-13-5\/\" target=\"_blank\" rel=\"noopener\">Exercise 13.5 solutions<\/a><\/span><\/td>\n<\/tr>\n<tr style=\"height: 23px;\">\n<td style=\"width: 100%; height: 23px;\"><span style=\"color: #0000ff;\"><a style=\"color: #0000ff;\" href=\"https:\/\/infinitylearn.com\/surge\/study-materials\/ncert-solutions\/class-12\/maths\/chapter-13-probability-exercise-miscellaneous\" target=\"_blank\" rel=\"noopener\">Miscellaneous Exercise solutions<\/a><\/span><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n\n\t\t<div class=\"download-pdf-container\">\n\t\t\t<span class=\"title\">Do you need help with your Homework? 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class=\"pdfemb-viewer\" style=\"\" data-width=\"max\" data-height=\"max\" data-mobile-width=\"0\"  data-scrollbar=\"both\" data-download=\"off\" data-tracking=\"on\" data-newwindow=\"on\" data-pagetextbox=\"off\" data-scrolltotop=\"on\" data-startzoom=\"100\" data-startfpzoom=\"100\" data-toolbar=\"top\" data-toolbar-fixed=\"on\">Chapter 13<br\/><\/a>\n<h2><span style=\"font-size: 18pt;\"><b>NCERT Solutions for Class 12 Maths Chapter 13 Probability<\/b><\/span><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335559738&quot;:240,&quot;335559739&quot;:160,&quot;335559740&quot;:256}\"> <\/span><\/h2>\n<p><span data-contrast=\"none\">Following are the topics and subtopics explained in Class 12 Chapter 13- Probability of <\/span><b><span data-contrast=\"none\">NCERT Solutions<\/span><\/b><span data-contrast=\"none\">:<\/span><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335559739&quot;:160,&quot;335559740&quot;:276}\"> <\/span><\/p>\n<ul>\n<li><span data-contrast=\"none\">13.1 Introduction<\/span><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335559739&quot;:160,&quot;335559740&quot;:276}\"> <\/span><\/li>\n<li><span data-contrast=\"none\">13.2 Conditional Probability<\/span><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335559739&quot;:160,&quot;335559740&quot;:276}\"> <\/span><\/li>\n<li><span data-contrast=\"none\">13.2.1 Properties of conditional probability<\/span><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335559739&quot;:160,&quot;335559740&quot;:276}\"> <\/span><\/li>\n<li><span data-contrast=\"none\">13.3 Multiplication Theorem on Probability<\/span><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335559739&quot;:160,&quot;335559740&quot;:276}\"> <\/span><\/li>\n<li><span data-contrast=\"none\">13.4 Independent Events<\/span><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335559739&quot;:160,&quot;335559740&quot;:276}\"> <\/span><\/li>\n<li><span data-contrast=\"none\">13.5 Bayes\u2019 Theorem<\/span><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335559739&quot;:160,&quot;335559740&quot;:276}\"> <\/span><\/li>\n<li><span data-contrast=\"none\">13.5.1 Partition of a sample space<\/span><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335559739&quot;:160,&quot;335559740&quot;:276}\"> <\/span><\/li>\n<li><span data-contrast=\"none\">13.5.2 Theorem of total probability<\/span><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335559739&quot;:160,&quot;335559740&quot;:276}\"> <\/span><\/li>\n<li><span data-contrast=\"none\">13.6 Random Variables and its Probability Distributions<\/span><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335559739&quot;:160,&quot;335559740&quot;:276}\"> <\/span><\/li>\n<li><span data-contrast=\"none\">13.6.1 Probability distribution of a random variable<\/span><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335559739&quot;:160,&quot;335559740&quot;:276}\"> <\/span><\/li>\n<li><span data-contrast=\"none\">13.6.2 Mean of a random variable<\/span><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335559739&quot;:160,&quot;335559740&quot;:276}\"> <\/span><\/li>\n<li><span data-contrast=\"none\">13.6.3 Variance of a random variable<\/span><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335559739&quot;:160,&quot;335559740&quot;:276}\"> <\/span><\/li>\n<li><span data-contrast=\"none\">13.7 Bernoulli Trials and Binomial Distribution<\/span><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335559739&quot;:160,&quot;335559740&quot;:276}\"> <\/span><\/li>\n<li><span data-contrast=\"none\">13.7.1 Bernoulli trials<\/span><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335559739&quot;:160,&quot;335559740&quot;:276}\"> <\/span><\/li>\n<li><span data-contrast=\"none\">13.7.2 Binomial distribution<\/span><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335559739&quot;:160,&quot;335559740&quot;:276}\"> <\/span><\/li>\n<\/ul>\n<p><span data-contrast=\"none\">The chapter Probability is part of a larger unit, Unit Six- Probability, which is worth 8 out of a total of 80 points. This chapter includes two exercises as well as a miscellaneous activity to assist students fully grasp the basics of probability.Following are the concepts discussed in Chapter 13 of <\/span><span style=\"color: #0000ff;\"><a style=\"color: #0000ff;\" href=\"https:\/\/infinitylearn.com\/surge\/study-materials\/ncert-solutions\/class-12\/maths\/\" target=\"_blank\" rel=\"noopener\"><b>NCERT Solutions for Class 12 Maths<\/b><\/a><\/span><span data-contrast=\"none\">:<\/span><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335559739&quot;:160,&quot;335559740&quot;:276}\"> <\/span><\/p>\n<ol>\n<li><span data-contrast=\"none\">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)<\/span><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335559685&quot;:720,&quot;335559740&quot;:276,&quot;335559991&quot;:360}\"> <\/span><\/li>\n<li><span data-contrast=\"none\">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<\/span><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335559685&quot;:720,&quot;335559740&quot;:276,&quot;335559991&quot;:360}\"> <\/span><\/li>\n<li><span data-contrast=\"none\">If E and F are independent, then P (E \u2229 F) = P (E) P (F)P (E|F) = P (E), P (F) \u2260 0P (F|E) = P (F), P(E) \u2260 0<\/span><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335559685&quot;:720,&quot;335559740&quot;:276,&quot;335559991&quot;:360}\"> <\/span><\/li>\n<li><span data-contrast=\"none\">Total probability theorem<\/span><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335559685&quot;:720,&quot;335559740&quot;:276,&quot;335559991&quot;:360}\"> <\/span><\/li>\n<li><span data-contrast=\"none\">Bayes\u2019 theorem<\/span><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335559685&quot;:720,&quot;335559740&quot;:276,&quot;335559991&quot;:360}\"> <\/span><\/li>\n<li><span data-contrast=\"none\">A random variable is a real-valued function whose domain is a random experiment&#8217;s sample space.<\/span><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335559685&quot;:720,&quot;335559740&quot;:276,&quot;335559991&quot;:360}\"> <\/span><\/li>\n<li><span data-contrast=\"none\">Var (X) = E (X2) \u2013 [E(X)]2<\/span><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335559685&quot;:720,&quot;335559740&quot;:276,&quot;335559991&quot;:360}\"> <\/span><\/li>\n<li><span data-contrast=\"none\">If the below conditions are satisfied, then the Trials of a random experiment are called Bernoulli trials :<\/span><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335559685&quot;:720,&quot;335559740&quot;:276,&quot;335559991&quot;:360}\"> <\/span><\/li>\n<li><span data-contrast=\"none\">A set number of trials should be available.<\/span><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335559685&quot;:1440,&quot;335559740&quot;:276,&quot;335559991&quot;:360}\"> <\/span><\/li>\n<li><span data-contrast=\"none\">The trials should be self-contained.<\/span><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335559685&quot;:1440,&quot;335559740&quot;:276,&quot;335559991&quot;:360}\"> <\/span><\/li>\n<li><span data-contrast=\"none\">There are only two possible outcomes in each trial: success or failure.<\/span><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335559685&quot;:1440,&quot;335559740&quot;:276,&quot;335559991&quot;:360}\"> <\/span><\/li>\n<li><span data-contrast=\"none\">In each trial, the chances of success are the same.<\/span><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335559685&quot;:1440,&quot;335559739&quot;:160,&quot;335559740&quot;:276,&quot;335559991&quot;:360}\"> <\/span><\/li>\n<\/ol>\n<p><span data-contrast=\"none\">To learn more about concepts linked to Probability, read Chapter 13 of the NCERT textbook for Maths. NCERT Solutions for Class 12 Maths Chapter 13 can be a quick reference to help students understand complicated concepts.<\/span><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335559739&quot;:160,&quot;335559740&quot;:276}\"> <\/span><\/p>\n<p aria-level=\"3\"><strong>Key Features of NCERT Solutions for Class 12 Maths Chapter 13- Probability <\/strong><\/p>\n<p><span data-contrast=\"none\">Conditional probability, the multiplication theorem on probability, independent events, total probability, Bayes&#8217; theorem, Random variable, and its probability distribution, mean, and variance of a random variable are all covered in the chapter &#8220;Probability&#8221; Class 12 NCERT Solutions.<\/span><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335559739&quot;:160,&quot;335559740&quot;:276}\"> <\/span><\/p>\n<h2 aria-level=\"2\"><span class=\"ez-toc-section\" id=\"Frequently_Asked_Questions_on_NCERT_Solutions_for_Class_12_Maths_Chapter_13\"><\/span><span style=\"font-size: 12pt;\"><strong>Frequently Asked Questions on NCERT Solutions for Class 12 Maths Chapter 13<\/strong><\/span><span class=\"ez-toc-section-end\"><\/span><\/h2>\n\t\t<section class=\"sc_fs_faq sc_card \">\n\t\t\t<div>\n\t\t\t\t<h5><span class=\"ez-toc-section\" id=\"Where_can_I_get_NCERT_Solutions_for_Class_12_Maths_Chapter_12_online\"><\/span>Where can I get NCERT Solutions for Class 12 Maths Chapter 12 online?<span class=\"ez-toc-section-end\"><\/span><\/h5>\t\t\t\t<div>\n\t\t\t\t\t\t\t\t\t\t<p>\n\t\t\t\t\t\tInfinity Learn has the NCERT Solutions for Class 12 Maths Chapter 12 available for download. Subject specialists curate the solutions to all problems so that students have the best reference material to rely on. You can download chapter-by-chapter or exercise-by-exercise solutions to understand better the problem-solving approaches used to solve textbook issues.\t\t\t\t\t<\/p>\n\t\t\t\t<\/div>\n\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"sc_fs_faq sc_card \">\n\t\t\t<div>\n\t\t\t\t<h5><span class=\"ez-toc-section\" id=\"Explain_the_concept_of_conditional_probability_in_Chapter_13_of_NCERT_Solutions_for_Class_12_Maths\"><\/span>Explain the concept of conditional probability in Chapter 13 of NCERT Solutions for Class 12 Maths?<span class=\"ez-toc-section-end\"><\/span><\/h5>\t\t\t\t<div>\n\t\t\t\t\t\t\t\t\t\t<p>\n\t\t\t\t\t\tThe probability of events that occur in connection to one or more events is explained by conditional probability. If A and B are two events in the same sample space in a random experiment, the conditional probability of event A will be the same as the conditional probability of event B.\t\t\t\t\t<\/p>\n\t\t\t\t<\/div>\n\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"sc_fs_faq sc_card \">\n\t\t\t<div>\n\t\t\t\t<h5><span class=\"ez-toc-section\" id=\"Why_NCERT_Solutions_for_Class_12_Maths_Chapter_13_is_beneficial_for_the_students_to_score_well_in_the_second_term_exams\"><\/span>Why NCERT Solutions for Class 12 Maths Chapter 13 is beneficial for the students to score well in the second term exams?<span class=\"ez-toc-section-end\"><\/span><\/h5>\t\t\t\t<div>\n\t\t\t\t\t\t\t\t\t\t<p>\n\t\t\t\t\t\tThe specialists at Infinity Learn deliver NCERT Solutions for Class 12 Maths Chapter 13 that are tailored to the students' understanding skills. Students can obtain the solution module PDF from Infinity Learn according to their needs. All of the major exam ideas are taught in plain English to assist students in acing the term \u2013 II exam with confidence. The solutions to all of the problems in the NCERT textbook assist students in double-checking their answers and analyzing their weak spots.\t\t\t\t\t<\/p>\n\t\t\t\t<\/div>\n\t\t\t<\/div>\n\t\t<\/section>\n\t\t\n<script type=\"application\/ld+json\">\n\t{\n\t\t\"@context\": \"https:\/\/schema.org\",\n\t\t\"@type\": \"FAQPage\",\n\t\t\"mainEntity\": [\n\t\t\t\t\t{\n\t\t\t\t\"@type\": \"Question\",\n\t\t\t\t\"name\": \"Where can I get NCERT Solutions for Class 12 Maths Chapter 12 online?\",\n\t\t\t\t\"acceptedAnswer\": {\n\t\t\t\t\t\"@type\": \"Answer\",\n\t\t\t\t\t\"text\": \"Infinity Learn has the NCERT Solutions for Class 12 Maths Chapter 12 available for download. Subject specialists curate the solutions to all problems so that students have the best reference material to rely on. You can download chapter-by-chapter or exercise-by-exercise solutions to understand better the problem-solving approaches used to solve textbook issues.\"\n\t\t\t\t\t\t\t\t\t}\n\t\t\t}\n\t\t\t,\t\t\t\t{\n\t\t\t\t\"@type\": \"Question\",\n\t\t\t\t\"name\": \"Explain the concept of conditional probability in Chapter 13 of NCERT Solutions for Class 12 Maths?\",\n\t\t\t\t\"acceptedAnswer\": {\n\t\t\t\t\t\"@type\": \"Answer\",\n\t\t\t\t\t\"text\": \"The probability of events that occur in connection to one or more events is explained by conditional probability. If A and B are two events in the same sample space in a random experiment, the conditional probability of event A will be the same as the conditional probability of event B.\"\n\t\t\t\t\t\t\t\t\t}\n\t\t\t}\n\t\t\t,\t\t\t\t{\n\t\t\t\t\"@type\": \"Question\",\n\t\t\t\t\"name\": \"Why NCERT Solutions for Class 12 Maths Chapter 13 is beneficial for the students to score well in the second term exams?\",\n\t\t\t\t\"acceptedAnswer\": {\n\t\t\t\t\t\"@type\": \"Answer\",\n\t\t\t\t\t\"text\": \"The specialists at Infinity Learn deliver NCERT Solutions for Class 12 Maths Chapter 13 that are tailored to the students' understanding skills. Students can obtain the solution module PDF from Infinity Learn according to their needs. All of the major exam ideas are taught in plain English to assist students in acing the term \u2013 II exam with confidence. The solutions to all of the problems in the NCERT textbook assist students in double-checking their answers and analyzing their weak spots.\"\n\t\t\t\t\t\t\t\t\t}\n\t\t\t}\n\t\t\t\t\t\t]\n\t}\n<\/script>\n\n","protected":false},"excerpt":{"rendered":"<p>Subject specialists have created NCERT Solutions for Class 12 Maths Chapter 13 Probability, including thorough solutions for reference. All of [&hellip;]<\/p>\n","protected":false},"author":7,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_yoast_wpseo_focuskw":"Class 12 Maths Chapter 13 Probability","_yoast_wpseo_title":"Class 12 Maths Chapter 13 Probability - Free Download NCERT Solutions","_yoast_wpseo_metadesc":"NCERT Solutions for Class 12 Maths Chapter 13 - Probability solved by Expert Teachers as per NCERT (CBSE) Book guidelines.","custom_permalink":"study-materials\/ncert-solutions\/class-12\/maths\/chapter-13-probability\/"},"categories":[19,31],"tags":[],"table_tags":[],"acf":[],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v17.9 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>Class 12 Maths Chapter 13 Probability - Free Download NCERT Solutions<\/title>\n<meta name=\"description\" content=\"NCERT Solutions for Class 12 Maths Chapter 13 - Probability solved by Expert Teachers as per NCERT (CBSE) Book guidelines.\" \/>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/infinitylearn.com\/surge\/study-materials\/ncert-solutions\/class-12\/maths\/chapter-13-probability\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Class 12 Maths Chapter 13 Probability - 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