{"id":2311,"date":"2023-07-14T00:05:49","date_gmt":"2023-07-13T18:35:49","guid":{"rendered":"https:\/\/edunovations.com\/mcqs\/?p=2311"},"modified":"2023-07-14T00:07:03","modified_gmt":"2023-07-13T18:37:03","slug":"probability-3","status":"publish","type":"post","link":"https:\/\/edunovations.com\/mcqs\/probability-3\/","title":{"rendered":"Probability 3 &#8211; Aptitude GK MCQ"},"content":{"rendered":"\n<p><ins class=\"adsbygoogle\" style=\"display:block\" data-ad-format=\"autorelaxed\" data-ad-client=\"ca-pub-6643489308705072\" data-ad-slot=\"2759669284\"><\/ins><\/p>\n\n\n\n<p><ins class=\"adsbygoogle\" style=\"display:block\" data-ad-format=\"autorelaxed\" data-ad-client=\"ca-pub-6643489308705072\" data-ad-slot=\"2759669284\"><\/ins><\/p>\n\n\n\n<div id=\"ez-toc-container\" class=\"ez-toc-v2_0_81 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\" style=\"cursor:inherit\">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=\"Toggle Table of Content\"><span class=\"ez-toc-js-icon-con\"><span class=\"\"><span class=\"eztoc-hide\" style=\"display:none;\">Toggle<\/span><span class=\"ez-toc-icon-toggle-span\"><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><\/span><\/span><\/a><\/span><\/div>\n<nav><ul class='ez-toc-list ez-toc-list-level-1 ' ><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-1\" href=\"https:\/\/edunovations.com\/mcqs\/probability-3\/#Probability_3_%E2%80%93_Aptitude_GK_MCQ_%E0%A4%B8%E0%A4%82%E0%A4%AD%E0%A4%BE%E0%A4%B5%E0%A5%8D%E0%A4%AF%E0%A4%A4%E0%A4%BE_3\" >Probability 3 &#8211; Aptitude GK MCQ ( \u0938\u0902\u092d\u093e\u0935\u094d\u092f\u0924\u093e 3)<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-2\" href=\"https:\/\/edunovations.com\/mcqs\/probability-3\/#Probability_3_%E2%80%93_Aptitude_GK_MCQ_%E2%80%93_Previous_Year_Questions\" >Probability 3 &#8211; Aptitude GK MCQ  &#8211; Previous Year Questions<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-3\" href=\"https:\/\/edunovations.com\/mcqs\/probability-3\/#Some_Important_Links\" >Some Important Links<\/a><\/li><\/ul><\/nav><\/div>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Probability_3_%E2%80%93_Aptitude_GK_MCQ_%E0%A4%B8%E0%A4%82%E0%A4%AD%E0%A4%BE%E0%A4%B5%E0%A5%8D%E0%A4%AF%E0%A4%A4%E0%A4%BE_3\"><\/span>Probability 3<strong> &#8211; Aptitude GK MCQ<strong><strong> ( <\/strong><\/strong><\/strong>\u0938\u0902\u092d\u093e\u0935\u094d\u092f\u0924\u093e 3<strong><strong><strong>)<\/strong><\/strong><\/strong><span class=\"ez-toc-section-end\"><\/span><\/h2>\n\n\n\n<p>Enhance your probability-solving skills with our comprehensive collection of multiple-choice questions (MCQs) from previous year papers of various sectors including UPSC IAS. Prepare for your upcoming exams with our expertly curated Probability 3 MCQ&#8217;s page.<\/p>\n\n\n\n<p>Brief:<\/p>\n\n\n\n<p>Welcome to our Probability 3 MCQ&#8217;s page, a treasure trove of meticulously compiled multiple-choice questions to help you master the intricacies of probability. Designed for aspirants of various sectors, including UPSC IAS and other competitive exams, this page offers a diverse range of MCQs sourced from previous year papers. With this comprehensive collection at your disposal, you can sharpen your problem-solving abilities and maximize your chances of success in your upcoming examinations.<\/p>\n\n\n\n<p>Our Probability 3 MCQ&#8217;s page serves as a valuable resource for students and professionals alike. It covers a wide range of topics related to probability, including fundamental concepts, combinatorics, conditional probability, random variables, and more. Each MCQ is thoughtfully crafted to test your understanding of these concepts and challenge your problem-solving skills.<\/p>\n\n\n\n<p>The MCQs on our page are derived from previous year papers of renowned examinations, ensuring their relevance and alignment with the exam patterns. By practicing these questions, you can gain a deep understanding of the probability principles, acquaint yourself with the exam format, and improve your time management skills.<\/p>\n\n\n\n<p>Whether you are preparing for UPSC IAS or any other competitive exam, our Probability 3 MCQ&#8217;s page will assist you in evaluating your knowledge, identifying areas for improvement, and boosting your confidence. Make the most of this resource to enhance your probability-solving abilities and increase your chances of achieving remarkable results.<\/p>\n\n\n\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Probability_3_%E2%80%93_Aptitude_GK_MCQ_%E2%80%93_Previous_Year_Questions\"><\/span>Probability 3 <strong>&#8211; <\/strong>Aptitude<strong> GK MCQ<\/strong> <strong> &#8211; Previous Year Questions<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h2>\n\n\n<style>\r\n    \/* Quiz container *\/\r\n    .quiz-container {\r\n        max-width: 800px;\r\n        margin: 0 auto;\r\n        padding: 20px;\r\n        box-sizing: border-box;\r\n        font-family: Arial, sans-serif;\r\n    }\r\n\r\n    \/* Question *\/\r\n    .question {\r\n        background-color: #f9f9f9;\r\n        padding: 20px;\r\n        border: 1px solid #ccc;\r\n        font-size: 20px;\r\n        margin-bottom: 20px;\r\n        border-radius: 5px;\r\n        box-shadow: 0 2px 4px rgba(0, 0, 0, 0.1);\r\n        position: relative;\r\n    }\r\n\r\n    \/* Question header *\/\r\n    .question h4 {\r\n        margin-bottom: 20px;\r\n    }\r\n\r\n    \/* Options list *\/\r\n    .options {\r\n        list-style-type: none;\r\n        padding: 0;\r\n    }\r\n\r\n    \/* Option item *\/\r\n    .options li {\r\n        margin: 10px;\r\n        padding: 10px;\r\n        display: flex;\r\n        align-items: center;\r\n        border-radius: 5px;\r\n        border: 2px solid #ccc;\r\n        box-shadow: 0 2px 4px rgba(0, 0, 0, 0.1);\r\n    }\r\n\r\n    \/* Option number *\/\r\n    .options li span {\r\n        margin-right: 10px;\r\n        width: 20px;\r\n        height: 20px;\r\n        border-radius: 50%;\r\n        border: 2px solid black;\r\n        display: flex;\r\n        justify-content: center;\r\n        align-items: center;\r\n        font-weight: bold;\r\n    }\r\n\r\n    \/* Option colors *\/\r\n    .options li span.option-a {\r\n        background-color: #FFD700; \/* Yellow *\/\r\n    }\r\n\r\n    .options li span.option-b {\r\n        background-color: #FF1493; \/* Pink *\/\r\n    }\r\n\r\n    .options li span.option-c {\r\n        background-color: #00BFFF; \/* Light Blue *\/\r\n    }\r\n\r\n    .options li span.option-d {\r\n        background-color: #7CFC00; \/* Green-Yellow *\/\r\n    }\r\n\r\n    .options li span.option-e {\r\n        background-color: #EE82EE; \/* Purple-Pink *\/\r\n    }\r\n\r\n    \/* Show answer button *\/\r\n    .show-answer {\r\n        background-color: #0066CC;\r\n        color: #fff;\r\n        border: none;\r\n        padding: 8px 20px;\r\n        font-size: 20px;\r\n        cursor: pointer;\r\n        border-radius: 3px;\r\n        text-align: center;\r\n        display: inline-block;\r\n        margin-bottom: 20px;\r\n    }\r\n\r\n    \/* Answer box *\/\r\n    .answer-box {\r\n        margin: 0 auto;\r\n        padding: 10px;\r\n        font-size: 20px;\r\n        color: #61970F;\r\n        box-sizing: border-box;\r\n        display: none;\r\n    }\r\n\r\n    \/* Question header *\/\r\n    .quiz-container .question-header {\r\n        color: darkblue;\r\n        font-weight: bold;\r\n        margin-right: 10px;\r\n    }\r\n\r\n    \/* Question header and text *\/\r\n    .quiz-container .question-header,\r\n    .quiz-container .question-text {\r\n        display: inline;\r\n        font-weight: bold;\r\n    }\r\n\r\n    \/* Responsive styles *\/\r\n    @media (max-width: 767px) {\r\n        .quiz-container {\r\n            padding: 10px;\r\n        }\r\n    }\r\n<\/style>\r\n<div class=\"quiz-container\">\r\n      <div class=\"question\">\r\n      <span class=\"question-header\">Question:<\/span>\r\n      <div class=\"question-text\">A fair coin is tossed 100 times, The probability of getting head an odd number of times is ?\r\n<\/div>\r\n      <ul class=\"options\">\r\n        <li><span class=\"option-a\">A<\/span><label for=\"optA_50042\">1\/4<\/label><\/li>\r\n        <li><span class=\"option-b\">B<\/span><label for=\"optB_50042\">2\/3<\/label><\/li>\r\n        <li><span class=\"option-c\">C<\/span><label for=\"optC_50042\">1\/2<\/label><\/li>\r\n        <li><span class=\"option-d\">D<\/span><label for=\"optD_50042\">3\/4<\/label><\/li>\r\n              <\/ul>\r\n      <div class=\"answer-box\"><\/div>\r\n      <button class=\"show-answer\" data-answer=\"c\">Show Answer<\/button>\r\n    <\/div>\r\n      <div class=\"question\">\r\n      <span class=\"question-header\">Question:<\/span>\r\n      <div class=\"question-text\">Out of 15 students studying in a class, 7 are from Maharastra, 5 are from Karnataka and 3 are from Goa, Four students are to be selected at random. What are the chances that at least one is from Karnataka ?\r\n<\/div>\r\n      <ul class=\"options\">\r\n        <li><span class=\"option-a\">A<\/span><label for=\"optA_50043\">12\/13<\/label><\/li>\r\n        <li><span class=\"option-b\">B<\/span><label for=\"optB_50043\">11\/13<\/label><\/li>\r\n        <li><span class=\"option-c\">C<\/span><label for=\"optC_50043\">10\/15<\/label><\/li>\r\n        <li><span class=\"option-d\">D<\/span><label for=\"optD_50043\">1\/15<\/label><\/li>\r\n              <\/ul>\r\n      <div class=\"answer-box\"><\/div>\r\n      <button class=\"show-answer\" data-answer=\"b\">Show Answer<\/button>\r\n    <\/div>\r\n      <div class=\"question\">\r\n      <span class=\"question-header\">Question:<\/span>\r\n      <div class=\"question-text\">In a box carrying one dozen of oranges, one third have become bad. If 3 oranges are taken out from the box at random, what is the probability that at least one oranges out of the three oranges picked up is good ?\r\n<\/div>\r\n      <ul class=\"options\">\r\n        <li><span class=\"option-a\">A<\/span><label for=\"optA_50044\">1\/55<\/label><\/li>\r\n        <li><span class=\"option-b\">B<\/span><label for=\"optB_50044\">54\/55<\/label><\/li>\r\n        <li><span class=\"option-c\">C<\/span><label for=\"optC_50044\">45\/55<\/label><\/li>\r\n        <li><span class=\"option-d\">D<\/span><label for=\"optD_50044\">3\/55<\/label><\/li>\r\n              <\/ul>\r\n      <div class=\"answer-box\"><\/div>\r\n      <button class=\"show-answer\" data-answer=\"b\">Show Answer<\/button>\r\n    <\/div>\r\n      <div class=\"question\">\r\n      <span class=\"question-header\">Question:<\/span>\r\n      <div class=\"question-text\">What is the probability that a leap year selected randomly will have 53 Mondays ?\r\n<\/div>\r\n      <ul class=\"options\">\r\n        <li><span class=\"option-a\">A<\/span><label for=\"optA_50045\">2\/7<\/label><\/li>\r\n        <li><span class=\"option-b\">B<\/span><label for=\"optB_50045\">5\/7<\/label><\/li>\r\n        <li><span class=\"option-c\">C<\/span><label for=\"optC_50045\">1\/7<\/label><\/li>\r\n        <li><span class=\"option-d\">D<\/span><label for=\"optD_50045\">Data inadequate<\/label><\/li>\r\n              <\/ul>\r\n      <div class=\"answer-box\"><\/div>\r\n      <button class=\"show-answer\" data-answer=\"a\">Show Answer<\/button>\r\n    <\/div>\r\n      <div class=\"question\">\r\n      <span class=\"question-header\">Question:<\/span>\r\n      <div class=\"question-text\">What is the probability that a leap year selected randomly will have 53 Mondays ?\r\n<\/div>\r\n      <ul class=\"options\">\r\n        <li><span class=\"option-a\">A<\/span><label for=\"optA_50046\">2\/7<\/label><\/li>\r\n        <li><span class=\"option-b\">B<\/span><label for=\"optB_50046\">5\/7<\/label><\/li>\r\n        <li><span class=\"option-c\">C<\/span><label for=\"optC_50046\">1\/7<\/label><\/li>\r\n        <li><span class=\"option-d\">D<\/span><label for=\"optD_50046\">Data inadequate<\/label><\/li>\r\n              <\/ul>\r\n      <div class=\"answer-box\"><\/div>\r\n      <button class=\"show-answer\" data-answer=\"a\">Show Answer<\/button>\r\n    <\/div>\r\n      <div class=\"question\">\r\n      <span class=\"question-header\">Question:<\/span>\r\n      <div class=\"question-text\">If the probability for A fail in an examination is 0.2 and that for B is 0.3, then the probability that either A or B fails is ?\r\n<\/div>\r\n      <ul class=\"options\">\r\n        <li><span class=\"option-a\">A<\/span><label for=\"optA_50047\">0.38<\/label><\/li>\r\n        <li><span class=\"option-b\">B<\/span><label for=\"optB_50047\">0.44<\/label><\/li>\r\n        <li><span class=\"option-c\">C<\/span><label for=\"optC_50047\">0.50<\/label><\/li>\r\n        <li><span class=\"option-d\">D<\/span><label for=\"optD_50047\">0.94<\/label><\/li>\r\n              <\/ul>\r\n      <div class=\"answer-box\"><\/div>\r\n      <button class=\"show-answer\" data-answer=\"b\">Show Answer<\/button>\r\n    <\/div>\r\n      <div class=\"question\">\r\n      <span class=\"question-header\">Question:<\/span>\r\n      <div class=\"question-text\">A fair coin is tossed 100 times . The probability of getting tails an odd number of times is ?\r\n<\/div>\r\n      <ul class=\"options\">\r\n        <li><span class=\"option-a\">A<\/span><label for=\"optA_50048\">1\/2<\/label><\/li>\r\n        <li><span class=\"option-b\">B<\/span><label for=\"optB_50048\">1\/8<\/label><\/li>\r\n        <li><span class=\"option-c\">C<\/span><label for=\"optC_50048\">3\/8<\/label><\/li>\r\n        <li><span class=\"option-d\">D<\/span><label for=\"optD_50048\">None of these<\/label><\/li>\r\n              <\/ul>\r\n      <div class=\"answer-box\"><\/div>\r\n      <button class=\"show-answer\" data-answer=\"a\">Show Answer<\/button>\r\n    <\/div>\r\n      <div class=\"question\">\r\n      <span class=\"question-header\">Question:<\/span>\r\n      <div class=\"question-text\">A natural number is selected at random from the set x = { x : 1 \u2264 x \u2264 100 }. The probability that the number satisfies the inequality x2 - 13x \u2264 30 is ?\r\n<\/div>\r\n      <ul class=\"options\">\r\n        <li><span class=\"option-a\">A<\/span><label for=\"optA_50049\">5\/9<\/label><\/li>\r\n        <li><span class=\"option-b\">B<\/span><label for=\"optB_50049\">9\/50<\/label><\/li>\r\n        <li><span class=\"option-c\">C<\/span><label for=\"optC_50049\">3\/20<\/label><\/li>\r\n        <li><span class=\"option-d\">D<\/span><label for=\"optD_50049\">7\/9<\/label><\/li>\r\n              <\/ul>\r\n      <div class=\"answer-box\"><\/div>\r\n      <button class=\"show-answer\" data-answer=\"c\">Show Answer<\/button>\r\n    <\/div>\r\n      <div class=\"question\">\r\n      <span class=\"question-header\">Question:<\/span>\r\n      <div class=\"question-text\">The probability that 9 students pass in Mathematics, Physics and Chemistry are m, p and c respectively, of these subject the students has a 75% chance of passing in at least one subject 50% chance of passing in at least two subject and 40% chance of passing in exactly two. Which of the following relation are true ?\r\n<\/div>\r\n      <ul class=\"options\">\r\n        <li><span class=\"option-a\">A<\/span><label for=\"optA_50050\">p + m + c =19\/20<\/label><\/li>\r\n        <li><span class=\"option-b\">B<\/span><label for=\"optB_50050\">p + m + c = 17\/20<\/label><\/li>\r\n        <li><span class=\"option-c\">C<\/span><label for=\"optC_50050\">pmc = 1\/10<\/label><\/li>\r\n        <li><span class=\"option-d\">D<\/span><label for=\"optD_50050\">pmc = 1\/4<\/label><\/li>\r\n              <\/ul>\r\n      <div class=\"answer-box\"><\/div>\r\n      <button class=\"show-answer\" data-answer=\"c\">Show Answer<\/button>\r\n    <\/div>\r\n      <div class=\"question\">\r\n      <span class=\"question-header\">Question:<\/span>\r\n      <div class=\"question-text\">Two dice and two coins are tossed. The probability that both the coins show head and the sum of the numbers found on the two dice is a prime number is ?\r\n<\/div>\r\n      <ul class=\"options\">\r\n        <li><span class=\"option-a\">A<\/span><label for=\"optA_50051\">5\/72<\/label><\/li>\r\n        <li><span class=\"option-b\">B<\/span><label for=\"optB_50051\">1\/12<\/label><\/li>\r\n        <li><span class=\"option-c\">C<\/span><label for=\"optC_50051\">  13\/144<\/label><\/li>\r\n        <li><span class=\"option-d\">D<\/span><label for=\"optD_50051\">5\/48<\/label><\/li>\r\n              <\/ul>\r\n      <div class=\"answer-box\"><\/div>\r\n      <button class=\"show-answer\" data-answer=\"d\">Show Answer<\/button>\r\n    <\/div>\r\n      <div class=\"question\">\r\n      <span class=\"question-header\">Question:<\/span>\r\n      <div class=\"question-text\">A speaks truth in 60% of the cases and B in 80% of the cases. In what percentage of cases are they likely to contradict each other, narrating the same incident ?\r\n<\/div>\r\n      <ul class=\"options\">\r\n        <li><span class=\"option-a\">A<\/span><label for=\"optA_50052\">70%<\/label><\/li>\r\n        <li><span class=\"option-b\">B<\/span><label for=\"optB_50052\">36%<\/label><\/li>\r\n        <li><span class=\"option-c\">C<\/span><label for=\"optC_50052\">22%<\/label><\/li>\r\n        <li><span class=\"option-d\">D<\/span><label for=\"optD_50052\">44%<\/label><\/li>\r\n              <\/ul>\r\n      <div class=\"answer-box\"><\/div>\r\n      <button class=\"show-answer\" data-answer=\"d\">Show Answer<\/button>\r\n    <\/div>\r\n      <div class=\"question\">\r\n      <span class=\"question-header\">Question:<\/span>\r\n      <div class=\"question-text\">The probability that a leap year selected at random contains 53 Sundays, is\r\n<\/div>\r\n      <ul class=\"options\">\r\n        <li><span class=\"option-a\">A<\/span><label for=\"optA_50053\">7\/366<\/label><\/li>\r\n        <li><span class=\"option-b\">B<\/span><label for=\"optB_50053\">26\/183<\/label><\/li>\r\n        <li><span class=\"option-c\">C<\/span><label for=\"optC_50053\">1\/7<\/label><\/li>\r\n        <li><span class=\"option-d\">D<\/span><label for=\"optD_50053\">2\/7<\/label><\/li>\r\n              <\/ul>\r\n      <div class=\"answer-box\"><\/div>\r\n      <button class=\"show-answer\" data-answer=\"d\">Show Answer<\/button>\r\n    <\/div>\r\n      <div class=\"question\">\r\n      <span class=\"question-header\">Question:<\/span>\r\n      <div class=\"question-text\">From 4 children, 2 women and 4 men, 4 person are selected. The probability that there are exactly 2 children among the selected persons, is\r\n<\/div>\r\n      <ul class=\"options\">\r\n        <li><span class=\"option-a\">A<\/span><label for=\"optA_50054\">11\/21<\/label><\/li>\r\n        <li><span class=\"option-b\">B<\/span><label for=\"optB_50054\">9\/21<\/label><\/li>\r\n        <li><span class=\"option-c\">C<\/span><label for=\"optC_50054\">10\/21<\/label><\/li>\r\n        <li><span class=\"option-d\">D<\/span><label for=\"optD_50054\"> 5\/21<\/label><\/li>\r\n              <\/ul>\r\n      <div class=\"answer-box\"><\/div>\r\n      <button class=\"show-answer\" data-answer=\"b\">Show Answer<\/button>\r\n    <\/div>\r\n      <div class=\"question\">\r\n      <span class=\"question-header\">Question:<\/span>\r\n      <div class=\"question-text\">The probability that a man can hit a target is 3\/4. He tries 5 times. The probability that he will hit the target atleast three times, is\r\n<\/div>\r\n      <ul class=\"options\">\r\n        <li><span class=\"option-a\">A<\/span><label for=\"optA_50055\">291\/364<\/label><\/li>\r\n        <li><span class=\"option-b\">B<\/span><label for=\"optB_50055\">371\/464<\/label><\/li>\r\n        <li><span class=\"option-c\">C<\/span><label for=\"optC_50055\">471\/502<\/label><\/li>\r\n        <li><span class=\"option-d\">D<\/span><label for=\"optD_50055\">459\/512<\/label><\/li>\r\n              <\/ul>\r\n      <div class=\"answer-box\"><\/div>\r\n      <button class=\"show-answer\" data-answer=\"d\">Show Answer<\/button>\r\n    <\/div>\r\n      <div class=\"question\">\r\n      <span class=\"question-header\">Question:<\/span>\r\n      <div class=\"question-text\">A dice is rolled three times and sum of three numbers appearing on the uppermost face is 15. The chance that the first roll was four is\r\n<\/div>\r\n      <ul class=\"options\">\r\n        <li><span class=\"option-a\">A<\/span><label for=\"optA_50056\">2\/5<\/label><\/li>\r\n        <li><span class=\"option-b\">B<\/span><label for=\"optB_50056\">1\/5<\/label><\/li>\r\n        <li><span class=\"option-c\">C<\/span><label for=\"optC_50056\">1\/6<\/label><\/li>\r\n        <li><span class=\"option-d\">D<\/span><label for=\"optD_50056\">None of these<\/label><\/li>\r\n              <\/ul>\r\n      <div class=\"answer-box\"><\/div>\r\n      <button class=\"show-answer\" data-answer=\"d\">Show Answer<\/button>\r\n    <\/div>\r\n      <div class=\"question\">\r\n      <span class=\"question-header\">Question:<\/span>\r\n      <div class=\"question-text\">If a 4- digit number is formed at random using the digit 1, 3, 5, 7 and 9 without repetition, then the probability that it is divisible by 5, is\r\n<\/div>\r\n      <ul class=\"options\">\r\n        <li><span class=\"option-a\">A<\/span><label for=\"optA_50057\">4\/5<\/label><\/li>\r\n        <li><span class=\"option-b\">B<\/span><label for=\"optB_50057\">3\/5<\/label><\/li>\r\n        <li><span class=\"option-c\">C<\/span><label for=\"optC_50057\"> 1\/5<\/label><\/li>\r\n        <li><span class=\"option-d\">D<\/span><label for=\"optD_50057\">2\/3<\/label><\/li>\r\n              <\/ul>\r\n      <div class=\"answer-box\"><\/div>\r\n      <button class=\"show-answer\" data-answer=\"c\">Show Answer<\/button>\r\n    <\/div>\r\n      <div class=\"question\">\r\n      <span class=\"question-header\">Question:<\/span>\r\n      <div class=\"question-text\">If three marbles are picked at random, what is the probability that at least one is blue ?\r\n<\/div>\r\n      <ul class=\"options\">\r\n        <li><span class=\"option-a\">A<\/span><label for=\"optA_50058\">7\/12<\/label><\/li>\r\n        <li><span class=\"option-b\">B<\/span><label for=\"optB_50058\">37\/44<\/label><\/li>\r\n        <li><span class=\"option-c\">C<\/span><label for=\"optC_50058\">5\/12<\/label><\/li>\r\n        <li><span class=\"option-d\">D<\/span><label for=\"optD_50058\">7\/44<\/label><\/li>\r\n              <\/ul>\r\n      <div class=\"answer-box\"><\/div>\r\n      <button class=\"show-answer\" data-answer=\"b\">Show Answer<\/button>\r\n    <\/div>\r\n  <\/div>\r\n<script src=\"https:\/\/code.jquery.com\/jquery-3.6.0.min.js\"><\/script>\r\n<script>\r\n$(document).ready(function() {\r\n  $('.show-answer').click(function() {\r\n    var answer = $(this).data('answer');\r\n    $(this).siblings('.answer-box').html('The correct answer is: ' + answer).slideDown();\r\n    $(this).hide();\r\n  });\r\n});\r\n<\/script>\n\n\n\n<p><\/p>\n\n\n\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Some_Important_Links\"><\/span>Some Important Links <span class=\"ez-toc-section-end\"><\/span><\/h2>\n\n\n\n<div class=\"wp-block-buttons is-layout-flex wp-block-buttons-is-layout-flex\">\n<div 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src=\"https:\/\/edunovations.com\/mcqs\/wp-content\/uploads\/2023\/06\/Free-MCQ-App.jpg\" alt=\"Free GK MCQ App\" class=\"wp-image-743\" title=\"Free GK MCQ App\" srcset=\"https:\/\/edunovations.com\/mcqs\/wp-content\/uploads\/2023\/06\/Free-MCQ-App.jpg 900w, https:\/\/edunovations.com\/mcqs\/wp-content\/uploads\/2023\/06\/Free-MCQ-App-300x50.jpg 300w, https:\/\/edunovations.com\/mcqs\/wp-content\/uploads\/2023\/06\/Free-MCQ-App-768x128.jpg 768w\" sizes=\"(max-width: 900px) 100vw, 900px\" \/><\/a><figcaption class=\"wp-element-caption\">Free GK MCQ App<\/figcaption><\/figure>\n\n\n\n<figure class=\"wp-block-image size-full\" id=\"Free-Daily-Current-Affairs-MCQ-App\"><a href=\"https:\/\/play.google.com\/store\/apps\/details?id=com.edunovations.quiz\" target=\"_blank\" rel=\"Free Daily Current Affairs MCQ App noopener\"><img decoding=\"async\" width=\"900\" height=\"150\" src=\"https:\/\/edunovations.com\/mcqs\/wp-content\/uploads\/2023\/06\/Banner-current-affairs-2.jpg\" alt=\"Free 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[]).push({});\r\n<\/script>\n","protected":false},"excerpt":{"rendered":"<p>Probability 3 &#8211; Aptitude GK MCQ ( \u0938\u0902\u092d\u093e\u0935\u094d\u092f\u0924\u093e 3) Enhance your probability-solving skills with our comprehensive collection of multiple-choice questions (MCQs) from previous year papers of various sectors including UPSC IAS. Prepare for your upcoming exams with our expertly curated Probability 3 MCQ&#8217;s page. Brief: Welcome to our Probability 3 MCQ&#8217;s page, a treasure trove [&hellip;]<\/p>\n","protected":false},"author":3,"featured_media":2313,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"ocean_post_layout":"","ocean_both_sidebars_style":"","ocean_both_sidebars_content_width":0,"ocean_both_sidebars_sidebars_width":0,"ocean_sidebar":"","ocean_second_sidebar":"","ocean_disable_margins":"enable","ocean_add_body_class":"","ocean_shortcode_before_top_bar":"","ocean_shortcode_after_top_bar":"","ocean_shortcode_before_header":"","ocean_shortcode_after_header":"","ocean_has_shortcode":"","ocean_shortcode_after_title":"","ocean_shortcode_before_footer_widgets":"","ocean_shortcode_after_footer_widgets":"","ocean_shortcode_before_footer_bottom":"","ocean_shortcode_after_footer_bottom":"","ocean_display_top_bar":"default","ocean_display_header":"default","ocean_header_style":"","ocean_center_header_left_menu":"","ocean_custom_header_template":"","ocean_custom_logo":0,"ocean_custom_retina_logo":0,"ocean_custom_logo_max_width":0,"ocean_custom_logo_tablet_max_width":0,"ocean_custom_logo_mobile_max_width":0,"ocean_custom_logo_max_height":0,"ocean_custom_logo_tablet_max_height":0,"ocean_custom_logo_mobile_max_height":0,"ocean_header_custom_menu":"","ocean_menu_typo_font_family":"","ocean_menu_typo_font_subset":"","ocean_menu_typo_font_size":0,"ocean_menu_typo_font_size_tablet":0,"ocean_menu_typo_font_size_mobile":0,"ocean_menu_typo_font_size_unit":"px","ocean_menu_typo_font_weight":"","ocean_menu_typo_font_weight_tablet":"","ocean_menu_typo_font_weight_mobile":"","ocean_menu_typo_transform":"","ocean_menu_typo_transform_tablet":"","ocean_menu_typo_transform_mobile":"","ocean_menu_typo_line_height":0,"ocean_menu_typo_line_height_tablet":0,"ocean_menu_typo_line_height_mobile":0,"ocean_menu_typo_line_height_unit":"","ocean_menu_typo_spacing":0,"ocean_menu_typo_spacing_tablet":0,"ocean_menu_typo_spacing_mobile":0,"ocean_menu_typo_spacing_unit":"","ocean_menu_link_color":"","ocean_menu_link_color_hover":"","ocean_menu_link_color_active":"","ocean_menu_link_background":"","ocean_menu_link_hover_background":"","ocean_menu_link_active_background":"","ocean_menu_social_links_bg":"","ocean_menu_social_hover_links_bg":"","ocean_menu_social_links_color":"","ocean_menu_social_hover_links_color":"","ocean_disable_title":"default","ocean_disable_heading":"default","ocean_post_title":"","ocean_post_subheading":"","ocean_post_title_style":"","ocean_post_title_background_color":"","ocean_post_title_background":0,"ocean_post_title_bg_image_position":"","ocean_post_title_bg_image_attachment":"","ocean_post_title_bg_image_repeat":"","ocean_post_title_bg_image_size":"","ocean_post_title_height":0,"ocean_post_title_bg_overlay":0.5,"ocean_post_title_bg_overlay_color":"","ocean_disable_breadcrumbs":"default","ocean_breadcrumbs_color":"","ocean_breadcrumbs_separator_color":"","ocean_breadcrumbs_links_color":"","ocean_breadcrumbs_links_hover_color":"","ocean_display_footer_widgets":"default","ocean_display_footer_bottom":"default","ocean_custom_footer_template":"","ocean_post_oembed":"","ocean_post_self_hosted_media":"","ocean_post_video_embed":"","ocean_link_format":"","ocean_link_format_target":"self","ocean_quote_format":"","ocean_quote_format_link":"post","ocean_gallery_link_images":"off","ocean_gallery_id":[],"footnotes":""},"categories":[1785],"tags":[1893,109,1894,91,589,1891,1892,1803,1895,590],"class_list":["post-2311","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-aptitude","tag-combinatorics","tag-competitive-exams","tag-conditional-probability","tag-mcqs","tag-previous-year-papers","tag-probability","tag-probability-concepts","tag-problem-solving-2","tag-random-variables","tag-upsc-ias","entry","has-media"],"_links":{"self":[{"href":"https:\/\/edunovations.com\/mcqs\/wp-json\/wp\/v2\/posts\/2311","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/edunovations.com\/mcqs\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/edunovations.com\/mcqs\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/edunovations.com\/mcqs\/wp-json\/wp\/v2\/users\/3"}],"replies":[{"embeddable":true,"href":"https:\/\/edunovations.com\/mcqs\/wp-json\/wp\/v2\/comments?post=2311"}],"version-history":[{"count":0,"href":"https:\/\/edunovations.com\/mcqs\/wp-json\/wp\/v2\/posts\/2311\/revisions"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/edunovations.com\/mcqs\/wp-json\/wp\/v2\/media\/2313"}],"wp:attachment":[{"href":"https:\/\/edunovations.com\/mcqs\/wp-json\/wp\/v2\/media?parent=2311"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/edunovations.com\/mcqs\/wp-json\/wp\/v2\/categories?post=2311"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/edunovations.com\/mcqs\/wp-json\/wp\/v2\/tags?post=2311"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}