{"id":2088,"date":"2021-12-23T16:37:53","date_gmt":"2021-12-23T11:07:53","guid":{"rendered":"https:\/\/infinitylearn.com\/surge\/?p=2088"},"modified":"2022-01-15T15:11:07","modified_gmt":"2022-01-15T09:41:07","slug":"ncert-solutions-for-class-12-maths-chapter-13-probability-miscellaneous-exercise","status":"publish","type":"post","link":"https:\/\/infinitylearn.com\/surge\/study-materials\/ncert-solutions\/class-12\/maths\/chapter-13-probability-exercise-miscellaneous","title":{"rendered":"NCERT Solutions for Class 12 Maths Chapter 13 Probability Miscellaneous Exercise"},"content":{"rendered":"<p><span data-contrast=\"none\">All miscellaneous exercise questions are answered in NCERT Solutions for Class 12 Maths Chapter 13 miscellaneous exercise Probability. The principals studied in Maths chapter 13 are the foundation for NCERT Solutions for Class 13 miscellaneous exercise. This practice is crucial for both the CBSE Term II exam and competitive exams. To do well on your exam, download these<span style=\"color: #3366ff;\"><a style=\"color: #3366ff;\" href=\"https:\/\/infinitylearn.com\/surge\/study-materials\/ncert-solutions\/\" target=\"_blank\" rel=\"noopener\"> NCERT Solutions<\/a><\/span> and practice them offline.<\/span><span data-ccp-props=\"{&quot;134233117&quot;:true,&quot;134233118&quot;:true,&quot;201341983&quot;:0,&quot;335551550&quot;:6,&quot;335551620&quot;:6,&quot;335559739&quot;:160,&quot;335559740&quot;:240}\"> <\/span><\/p>\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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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\/2021\/12\/Exercise-13.-Miscellaneous.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=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2021\/12\/Exercise-13.-Miscellaneous.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-toolbar=\"top\" data-toolbar-fixed=\"on\">Exercise 13. Miscellaneous<br\/><\/a>\n<p><span style=\"color: #0000ff;\"><b>NCERT Solutions for Class 12 Maths Chapter Probability miscellaneous exercise<\/b>  <\/span><\/p>\n<p><span data-contrast=\"none\">Using the NCERT solutions for miscellaneous exercise Class 12 Maths is the best option for the CBSE students when they are preparing for their exams. This chapter includes many exercises. One of them is the miscellaneous exercise whose solutions are available in pdf format on this page. You can also download these solutions online from our website or app.<\/span> <span data-contrast=\"none\">Infinity Learn subject matter experts have designed solutions from the exercise with the utmost care and by keeping in mind all the guidelines by CBSE. Class 12 Students which have prepared with all the exercises given in this chapter can easily score well in the exams. By using these solutions, students came to know about the pattern of questions that are asked in the exam from this chapter and also know about the marks weightage of the chapter. So they can prepare well.<\/span><span data-ccp-props=\"{&quot;134233117&quot;:true,&quot;134233118&quot;:true,&quot;201341983&quot;:0,&quot;335559739&quot;:160,&quot;335559740&quot;:240}\"> <\/span><\/p>\n<p><span data-contrast=\"none\">Along with this exercise<\/span><span data-contrast=\"none\">, there are a <\/span><span data-contrast=\"none\">number <\/span><span data-contrast=\"none\">of exercises <\/span><span data-contrast=\"none\">included in<\/span><span data-contrast=\"none\"> this chapter which contain innumerable questions as well. All these <\/span><span data-contrast=\"none\">solutions<\/span> <span data-contrast=\"none\">are designed by<\/span><span data-contrast=\"none\"> subject <\/span><span data-contrast=\"none\">matter <\/span><span data-contrast=\"none\">experts as mentioned earlier. Hence all of these are <\/span><span data-contrast=\"none\">considered as<\/span><span data-contrast=\"none\"> superior quality and <\/span><span data-contrast=\"none\">students must refer to these solutions<\/span><span data-contrast=\"none\">. <\/span><span data-contrast=\"none\">To score well in the exam all these solutions must be practiced well and all other questions must be solved which are given next to it<\/span><span data-contrast=\"none\">.<\/span> <span data-contrast=\"none\">Do not delay any more. Download the <span style=\"color: #3366ff;\"><a style=\"color: #3366ff;\" href=\"https:\/\/infinitylearn.com\/surge\/study-materials\/ncert-solutions\/class-12\/maths\/\" target=\"_blank\" rel=\"noopener\">NCERT solutions for Class 12 Maths<\/a><\/span> Chapter 13 <\/span><span data-contrast=\"none\">miscellaneous exercise <\/span><span data-contrast=\"none\">from <\/span><span data-contrast=\"none\">Infinity Learn<\/span><span data-contrast=\"none\"> website now for better exam preparation. If you have the <\/span><span data-contrast=\"none\">Infinity Learn<\/span><span data-contrast=\"none\"> app on your phone, you <\/span><span data-contrast=\"none\">should<\/span><span data-contrast=\"none\"> download the same through the app as well. <\/span><span data-contrast=\"none\">You can use these solutions online and offline as well<\/span><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335559739&quot;:160,&quot;335559740&quot;:259}\"> <\/span><\/p>\n<p><span style=\"color: #0000ff;\"><b>FAQs (Frequently Asked Questions)<\/b> <\/span><\/p>\n<ol>\n<li><b><span data-contrast=\"none\">Can I score full marks in Class 12 Chapter 13 Maths?<\/span><\/b><\/li>\n<\/ol>\n<p><span data-contrast=\"none\"><span style=\"color: #0000ff;\"><strong>Ans.<\/strong> <\/span>Yes, you can easily score full marks in Class 12 Maths. All you need to do to score full marks in Maths is a frequent practice. All of the concepts should be clear in this subject since many questions are expected in the board examination from this chapter. This will help you make your confidence up and well versed with the chapter and can score full marks in the exam. You should also refer to the NCERT Solutions of this chapter<\/span><span data-contrast=\"none\">.<\/span><span data-ccp-props=\"{&quot;134233117&quot;:true,&quot;134233118&quot;:true,&quot;201341983&quot;:0,&quot;335551550&quot;:6,&quot;335551620&quot;:6,&quot;335559739&quot;:160,&quot;335559740&quot;:240}\"> <\/span><\/p>\n<ol start=\"2\">\n<li><b><span data-contrast=\"none\">How can I study Class 12 Maths Chapter 13 Probability?<\/span><\/b><\/li>\n<\/ol>\n<p><span data-contrast=\"none\"><span style=\"color: #0000ff;\"><strong>Ans.<\/strong> <\/span>To study this chapter, it is important to understand these fundamental concepts:<\/span><span data-ccp-props=\"{&quot;134233117&quot;:true,&quot;134233118&quot;:true,&quot;201341983&quot;:0,&quot;335551550&quot;:6,&quot;335551620&quot;:6,&quot;335559739&quot;:160,&quot;335559740&quot;:240}\"> <\/span><\/p>\n<ul>\n<li><span data-contrast=\"none\">Probability And Statistics<\/span><span data-ccp-props=\"{&quot;134233117&quot;:true,&quot;134233118&quot;:true,&quot;201341983&quot;:0,&quot;335551550&quot;:6,&quot;335551620&quot;:6,&quot;335559739&quot;:160,&quot;335559740&quot;:240}\"> <\/span><\/li>\n<li><span data-contrast=\"none\">Multiplication theorem on Probability<\/span><span data-ccp-props=\"{&quot;134233117&quot;:true,&quot;134233118&quot;:true,&quot;201341983&quot;:0,&quot;335551550&quot;:6,&quot;335551620&quot;:6,&quot;335559739&quot;:160,&quot;335559740&quot;:240}\"> <\/span><\/li>\n<li><span data-contrast=\"none\">Bayes Theorem<\/span><span data-ccp-props=\"{&quot;134233117&quot;:true,&quot;134233118&quot;:true,&quot;201341983&quot;:0,&quot;335551550&quot;:6,&quot;335551620&quot;:6,&quot;335559739&quot;:160,&quot;335559740&quot;:240}\"> <\/span><\/li>\n<li><span data-contrast=\"none\">Bernoulli Trials\u202f<\/span><span data-ccp-props=\"{&quot;134233117&quot;:true,&quot;134233118&quot;:true,&quot;201341983&quot;:0,&quot;335551550&quot;:6,&quot;335551620&quot;:6,&quot;335559739&quot;:160,&quot;335559740&quot;:240}\"> <\/span><\/li>\n<li><span data-contrast=\"none\">Binomial Distribution<\/span><span data-ccp-props=\"{&quot;134233117&quot;:true,&quot;134233118&quot;:true,&quot;201341983&quot;:0,&quot;335551550&quot;:6,&quot;335551620&quot;:6,&quot;335559739&quot;:160,&quot;335559740&quot;:240}\"> <\/span><\/li>\n<\/ul>\n<p><span data-contrast=\"none\">These concepts have been covered in detail in the NCERT solutions by Infinity Learn to ensure that you get clarity on this chapter. These solutions are also available on the Infinity Learn app and the website.<\/span><span data-ccp-props=\"{&quot;134233117&quot;:true,&quot;134233118&quot;:true,&quot;201341983&quot;:0,&quot;335551550&quot;:6,&quot;335551620&quot;:6,&quot;335559739&quot;:160,&quot;335559740&quot;:240}\"> <\/span><\/p>\n<ol start=\"3\">\n<li><b><span data-contrast=\"none\">What are the topics covered in class 12 maths chapter 13?<\/span><\/b><\/li>\n<\/ol>\n<p><span data-contrast=\"none\"><span style=\"color: #0000ff;\"><strong>Ans.<\/strong> <\/span>The chapter begins with the introduction of probability where you came to know about the discovery of probability. Later, you got to know what conditional probability is and what are its properties. After that, the multiplication theorem on probability begins the discussion of independent events. You will Learn about the Bayes theorem which is categorized into smaller sections like the partition of sample space and theorem of total probability. The chapter gets over with probability distribution of random variables, mean of random variables, variance of random variables, Bernoulli&#8217;s Trials, and Binomial Distribution.<\/span><span data-ccp-props=\"{&quot;134233117&quot;:true,&quot;134233118&quot;:true,&quot;201341983&quot;:0,&quot;335551550&quot;:6,&quot;335551620&quot;:6,&quot;335559739&quot;:160,&quot;335559740&quot;:240}\"> <\/span><\/p>\n<p><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335559739&quot;:160,&quot;335559740&quot;:259}\"> <\/span><\/p>\n","protected":false},"excerpt":{"rendered":"<p>All miscellaneous exercise questions are answered in NCERT Solutions for Class 12 Maths Chapter 13 miscellaneous exercise Probability. The principals [&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":"miscellaneous exercise chapter 13 class 12 maths","_yoast_wpseo_title":"","_yoast_wpseo_metadesc":"Free NCERT Solutions for Class 12 Maths Chapter 13 - Probability solved by Expert Teachers as per NCERT (CBSE) Book guidelines. All Probability Exercise Questions with Solutions to help you to revise the complete Syllabus and Score More marks.","custom_permalink":"study-materials\/ncert-solutions\/class-12\/maths\/chapter-13-probability-exercise-miscellaneous"},"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>NCERT Solutions for Class 12 Maths Chapter 13 Probability Miscellaneous Exercise - Infinity Learn by Sri Chaitanya<\/title>\n<meta name=\"description\" content=\"Free NCERT Solutions for Class 12 Maths Chapter 13 - Probability solved by Expert Teachers as per NCERT (CBSE) Book guidelines. 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