{"id":60462,"date":"2022-01-29T23:35:12","date_gmt":"2022-01-29T18:05:12","guid":{"rendered":"https:\/\/infinitylearn.com\/surge\/?p=60462"},"modified":"2023-02-04T17:29:48","modified_gmt":"2023-02-04T11:59:48","slug":"study-materials-ncert-exemplar-solutions-class-12-maths-chapter-13-probability","status":"publish","type":"post","link":"https:\/\/infinitylearn.com\/surge\/study-materials\/ncert-exemplar-solutions\/class-12\/maths\/chapter-13-probability\/","title":{"rendered":"NCERT Exemplar Solutions for Class 12 Maths Chapter 13 &#8211; 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-exemplar-solutions\/class-12\/maths\/chapter-13-probability\/#Key_Features_of_NCERT_Exemplar_Solutions_for_Class_12_Maths_Chapter_13-_Probability\" title=\"Key Features of NCERT Exemplar Solutions for Class 12 Maths Chapter 13- Probability\">Key Features of NCERT Exemplar Solutions for Class 12 Maths Chapter 13- Probability<\/a><ul class='ez-toc-list-level-3'><li class='ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-2\" href=\"https:\/\/infinitylearn.com\/surge\/study-materials\/ncert-exemplar-solutions\/class-12\/maths\/chapter-13-probability\/#Frequently_Asked_Questions\" title=\"Frequently Asked Questions\">Frequently Asked Questions<\/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'><a class=\"ez-toc-link ez-toc-heading-3\" href=\"https:\/\/infinitylearn.com\/surge\/study-materials\/ncert-exemplar-solutions\/class-12\/maths\/chapter-13-probability\/#Where_can_I_get_NCERT_Exemplar_Solutions_for_Class_12_Maths_Chapter_12_online\" title=\"Where can I get NCERT Exemplar Solutions for Class 12 Maths Chapter 12 online?\">Where can I get NCERT Exemplar 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-exemplar-solutions\/class-12\/maths\/chapter-13-probability\/#Explain_the_concept_of_conditional_probability_in_Chapter_13_of_NCERT_Exemplar_Solutions_for_Class_12_Maths\" title=\"Explain the concept of conditional probability in Chapter 13 of NCERT Exemplar Solutions for Class 12 Maths.\">Explain the concept of conditional probability in Chapter 13 of NCERT Exemplar 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-exemplar-solutions\/class-12\/maths\/chapter-13-probability\/#Why_NCERT_Exemplar_Solutions_for_Class_12_Maths_Chapter_13_is_beneficial_for_the_students_to_score_well_in_the_second_term_exams\" title=\"Why NCERT Exemplar Solutions for Class 12 Maths Chapter 13 is beneficial for the students to score well in the second term exams?\">Why NCERT Exemplar Solutions for Class 12 Maths Chapter 13 is beneficial for the students to score well in the second term exams?<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-5'><a class=\"ez-toc-link ez-toc-heading-6\" href=\"https:\/\/infinitylearn.com\/surge\/study-materials\/ncert-exemplar-solutions\/class-12\/maths\/chapter-13-probability\/#Why_Opt_for_Infinity_Learn\" title=\"Why Opt for Infinity Learn?\">Why Opt for Infinity Learn?<\/a><\/li><\/ul><\/li><\/ul><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-7\" href=\"https:\/\/infinitylearn.com\/surge\/study-materials\/ncert-exemplar-solutions\/class-12\/maths\/chapter-13-probability\/#Infinity_Learn_App\" title=\"Infinity Learn App\">Infinity Learn App<\/a><\/li><\/ul><\/li><\/ul><\/nav><\/div>\n<p><span style=\"font-weight: 400; font-size: 12pt;\">Subject specialists have created NCERT Exemplar Solutions for Class 12 Maths Chapter 13 Probability, which includes 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 Exemplar Solutions for Class 12 provide useful solutions for improving conceptual knowledge and preparing for <strong><span style=\"color: #0000ff;\"><a style=\"color: #0000ff;\" href=\"https:\/\/infinitylearn.com\/jee\" target=\"_blank\" rel=\"noopener\">JEE<\/a><\/span><\/strong>.<\/span><\/p>\n<p><span style=\"font-weight: 400; font-size: 12pt;\">The solutions are carefully solved using student-friendly terms while still adhering to the norms that must be followed when solving NCERT Exemplar Solutions for Class12. Practicing these answers can be incredibly advantageous not only in terms of exams but also in terms of helping Class 12pupils perform well in upcoming competitive exams.<\/span><\/p>\n<p><span style=\"font-weight: 400; font-size: 12pt;\">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 when answering questions is essential for getting the best results.<\/span><\/p>\n<p><span style=\"font-size: 12pt;\">\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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underline;\">terms and conditions<\/a> and <a target=\"_blank\" href=\"https:\/\/infinitylearn.com\/privacy\" style=\"text-decoration: underline;\">privacy policy<\/a>.<\/p>\n<p><input type=\"button\" style=\"cursor:pointer;width:auto;\" class=\"il_otp_submit\" value=\"Get OTP\" onclick=\"sendCF7OTP(this, otp_phone.value, user_name.value)\"><\/p>\n<div class=\"form-submit-btn-div\" style=\"display:none;\">\n<input type=\"submit\" value=\"Download PDF\" class=\"wpcf7-form-control has-spinner wpcf7-submit download-pdf-submit\" \/>\n<\/div>\n<\/div>\n<div class=\"wpcf7-response-output\" aria-hidden=\"true\"><\/div><\/form><\/div>\n\t\t\t\t\t<span class=\"pdf-link hidden\" data-pdf=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/securepdfs\/2022\/01\/Class12_Maths_Chapter13DE-29.pdf\"><\/span>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t<\/div>\n\t\t\t<div class=\"bg-overlay\"><\/div>\n\t\t<\/div>\n\t\t<a href=\"\/surge\/?pdfemb-serveurl=https%3A%2F%2Finfinitylearn.com%2Fsurge%2Fwp-content%2Fuploads%2Fsecurepdfs%2F2022%2F01%2FClass12_Maths_Chapter13DE-29.pdf\" 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-download-nonce=\"27ff459027\" data-disablerightclick=\"on\" data-toolbar=\"top\" data-toolbar-fixed=\"on\">Class12_Maths_Chapter13(DE-29)<br\/><\/a><\/span><\/p>\n<p><span style=\"font-size: 12pt;\"><span style=\"font-weight: 400;\">Following are the topics and subtopics explained in Class 12 Chapter 13- Probability of <\/span><span style=\"color: #0000ff;\"><a style=\"color: #0000ff;\" href=\"https:\/\/infinitylearn.com\/surge\/study-materials\/ncert-exemplar-solutions\/\" target=\"_blank\" rel=\"noopener\"><b>NCERT Exemplar Solutions<\/b><\/a><\/span><span style=\"font-weight: 400;\">:<\/span><\/span><\/p>\n<p style=\"padding-left: 40px;\"><span style=\"font-weight: 400; font-size: 12pt;\">13.1 Introduction<\/span><\/p>\n<p style=\"padding-left: 40px;\"><span style=\"font-weight: 400; font-size: 12pt;\">13.2 Conditional Probability<\/span><\/p>\n<p style=\"padding-left: 40px;\"><span style=\"font-weight: 400; font-size: 12pt;\">13.2.1 Properties of conditional probability<\/span><\/p>\n<p style=\"padding-left: 40px;\"><span style=\"font-weight: 400; font-size: 12pt;\">13.3 Multiplication Theorem on Probability<\/span><\/p>\n<p style=\"padding-left: 40px;\"><span style=\"font-weight: 400; font-size: 12pt;\">13.4 Independent Events<\/span><\/p>\n<p style=\"padding-left: 40px;\"><span style=\"font-weight: 400; font-size: 12pt;\">13.5 Bayes\u2019 Theorem<\/span><\/p>\n<p style=\"padding-left: 40px;\"><span style=\"font-weight: 400; font-size: 12pt;\">13.5.1 Partition of a sample space<\/span><\/p>\n<p style=\"padding-left: 40px;\"><span style=\"font-weight: 400; font-size: 12pt;\">13.5.2 Theorem of total probability<\/span><\/p>\n<p style=\"padding-left: 40px;\"><span style=\"font-weight: 400; font-size: 12pt;\">13.6 Random Variables and its Probability Distributions<\/span><\/p>\n<p style=\"padding-left: 40px;\"><span style=\"font-weight: 400; font-size: 12pt;\">13.6.1 Probability distribution of a random variable<\/span><\/p>\n<p style=\"padding-left: 40px;\"><span style=\"font-weight: 400; font-size: 12pt;\">13.6.2 Mean of a random variable<\/span><\/p>\n<p style=\"padding-left: 40px;\"><span style=\"font-weight: 400; font-size: 12pt;\">13.6.3 Variance of a random variable<\/span><\/p>\n<p style=\"padding-left: 40px;\"><span style=\"font-weight: 400; font-size: 12pt;\">13.7 Bernoulli Trials and Binomial Distribution<\/span><\/p>\n<p style=\"padding-left: 40px;\"><span style=\"font-weight: 400; font-size: 12pt;\">13.7.1 Bernoulli trials<\/span><\/p>\n<p style=\"padding-left: 40px;\"><span style=\"font-weight: 400; font-size: 12pt;\">13.7.2 Binomial distribution<\/span><\/p>\n<p><span style=\"font-size: 12pt;\"><span style=\"font-weight: 400;\">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. <\/span><\/span><\/p>\n<p><span style=\"font-size: 12pt;\"><span style=\"font-weight: 400;\">Following are the concepts discussed in Chapter 13 of <\/span>NCERT Exemplar Solutions for Class 12<span style=\"font-weight: 400;\"> Maths:<\/span><\/span><\/p>\n<ol>\n<li style=\"font-weight: 400;\" aria-level=\"1\"><span style=\"font-weight: 400; font-size: 12pt;\">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><\/li>\n<li style=\"font-weight: 400;\" aria-level=\"1\"><span style=\"font-weight: 400; font-size: 12pt;\">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><\/li>\n<li style=\"font-weight: 400;\" aria-level=\"1\"><span style=\"font-weight: 400; font-size: 12pt;\">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><\/li>\n<li style=\"font-weight: 400;\" aria-level=\"1\"><span style=\"font-weight: 400; font-size: 12pt;\">Total probability theorem<\/span><\/li>\n<li style=\"font-weight: 400;\" aria-level=\"1\"><span style=\"font-weight: 400; font-size: 12pt;\">Bayes\u2019 theorem<\/span><\/li>\n<li style=\"font-weight: 400;\" aria-level=\"1\"><span style=\"font-weight: 400; font-size: 12pt;\">A random variable is a real-valued function whose domain is a random experiment&#8217;s sample space.<\/span><\/li>\n<li style=\"font-weight: 400;\" aria-level=\"1\"><span style=\"font-weight: 400; font-size: 12pt;\">Var (X) = E (X2) \u2013 [E(X)]2<\/span><\/li>\n<li style=\"font-weight: 400;\" aria-level=\"1\"><span style=\"font-weight: 400; font-size: 12pt;\">If the below conditions are satisfied, then the Trials of a random experiment are called Bernoulli trials :<\/span>\n<ol>\n<li style=\"font-weight: 400;\" aria-level=\"2\"><span style=\"font-weight: 400; font-size: 12pt;\">A set number of trials should be available.<\/span><\/li>\n<li style=\"font-weight: 400;\" aria-level=\"2\"><span style=\"font-weight: 400; font-size: 12pt;\">The trials should be self-contained.<\/span><\/li>\n<li style=\"font-weight: 400;\" aria-level=\"2\"><span style=\"font-weight: 400; font-size: 12pt;\">There are only two possible outcomes in each trial: success or failure.<\/span><\/li>\n<li style=\"font-weight: 400;\" aria-level=\"2\"><span style=\"font-weight: 400; font-size: 12pt;\">In each trial, the chances of success are the same.<\/span><\/li>\n<\/ol>\n<\/li>\n<\/ol>\n<p><span style=\"font-weight: 400; font-size: 12pt;\">To learn more about concepts linked to Probability, read Chapter 13 of the NCERT textbook for Maths. NCERT Exemplar Solutions for Class 12 Maths Chapter 13 can be used as a quick reference to help students understand complicated concepts.<\/span><\/p>\n<h2><span class=\"ez-toc-section\" id=\"Key_Features_of_NCERT_Exemplar_Solutions_for_Class_12_Maths_Chapter_13-_Probability\"><\/span><strong><span style=\"font-size: 14pt; color: #0000ff;\">Key Features of NCERT Exemplar Solutions for Class 12 Maths Chapter 13- Probability<\/span><\/strong><span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p><span style=\"font-weight: 400; font-size: 12pt;\">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; of Class 12 NCERT Exemplar Solutions.<\/span><\/p>\n<h3><span class=\"ez-toc-section\" id=\"Frequently_Asked_Questions\"><\/span><span style=\"color: #000000;\"><strong><span style=\"font-size: 14pt;\">Frequently Asked Questions<\/span><\/strong><\/span><span class=\"ez-toc-section-end\"><\/span><\/h3>\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_Exemplar_Solutions_for_Class_12_Maths_Chapter_12_online\"><\/span>Where can I get NCERT Exemplar 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 Exemplar Solutions for Class 12 Maths Chapter 12 available for download. Subject specialists curate the solutions to all of the problems so that students have the best reference material to rely on. You can download chapter-by-chapter or exercise-by-exercise solutions to acquire a better understanding of 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_Exemplar_Solutions_for_Class_12_Maths\"><\/span>Explain the concept of conditional probability in Chapter 13 of NCERT Exemplar 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_Exemplar_Solutions_for_Class_12_Maths_Chapter_13_is_beneficial_for_the_students_to_score_well_in_the_second_term_exams\"><\/span>Why NCERT Exemplar 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 Exemplar 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 on their needs. All of the major exam ideas are taught in plain English to assist students ace 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 analysing 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\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_Opt_for_Infinity_Learn\"><\/span>Why Opt for Infinity Learn?<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\tIn this chapter Infinity Learn provides videos, notes, NCERT textbook solutions, other practice book solutions and assignments that help you learn the concepts and to memorise the concepts for entrance exams and board exams. Most important, Infinity learn provide instant doubt support by subject experts.\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 Exemplar 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 Exemplar Solutions for Class 12 Maths Chapter 12 available for download. Subject specialists curate the solutions to all of the problems so that students have the best reference material to rely on. You can download chapter-by-chapter or exercise-by-exercise solutions to acquire a better understanding of 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 Exemplar 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 Exemplar 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 Exemplar 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 on their needs. All of the major exam ideas are taught in plain English to assist students ace 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 analysing their weak spots.\"\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 Opt for Infinity Learn?\",\n\t\t\t\t\"acceptedAnswer\": {\n\t\t\t\t\t\"@type\": \"Answer\",\n\t\t\t\t\t\"text\": \"In this chapter Infinity Learn provides videos, notes, NCERT textbook solutions, other practice book solutions and assignments that help you learn the concepts and to memorise the concepts for entrance exams and board exams. Most important, Infinity learn provide instant doubt support by subject experts.\"\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<h3><span class=\"ez-toc-section\" id=\"Infinity_Learn_App\"><\/span><span style=\"color: #0000ff;\">Infinity Learn App<\/span><span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>Now you can find answers to all your subject queries &amp; prepare for your Exams on our <span style=\"color: #0000ff;\"><a style=\"color: #0000ff;\" href=\"https:\/\/play.google.com\/store\/apps\/details?id=com.infinitylearn.learn\" target=\"_blank\" rel=\"noopener\">Learning App<\/a><\/span> &#8211; Infinity Learn.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Subject specialists have created NCERT Exemplar Solutions for Class 12 Maths Chapter 13 Probability, which includes thorough solutions for reference. 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