{"id":103133,"date":"2024-07-22T13:48:22","date_gmt":"2024-07-22T08:18:22","guid":{"rendered":"https:\/\/www.practicemock.com\/blog\/?p=103133"},"modified":"2024-07-22T13:48:23","modified_gmt":"2024-07-22T08:18:23","slug":"probability-for-ibps-rrb-exam","status":"publish","type":"post","link":"https:\/\/www.practicemock.com\/blog\/probability-for-ibps-rrb-exam\/","title":{"rendered":"Probability For IBPS RRB 2024 Exam,\u00a0Check Questions With Solution"},"content":{"rendered":"\n<p><\/p>\n\n\n<div class=\"yoast-breadcrumbs\"><span><span><a href=\"https:\/\/www.practicemock.com\/blog\/\">Home<\/a><\/span> \u00bb <span><a href=\"https:\/\/www.practicemock.com\/blog\/category\/banking-insurance\/\">Banking &amp; Insurance<\/a><\/span> \u00bb <span class=\"breadcrumb_last\" aria-current=\"page\">Probability For IBPS RRB 2024 Exam<\/span><\/span><\/div>\n\n\n<p><\/p>\n\n\n\n<p><strong>Probability For IBPS RRB 2024 Exam: <\/strong>Probability is a short topic in the Quantitative Aptitude section of the IBPS RRB 2024 exam. If candidates Understand the formulas and principles of probability then you can solve every question for the probability section. This article provides comprehensive details for Probability sections for the IBPS RRB 2024 exam along with the concepts, formulas and some questions with proper solutions.<\/p>\n\n\n\n<p><\/p>\n\n\n\n<div class=\"wp-block-buttons is-content-justification-center is-layout-flex wp-container-core-buttons-is-layout-16018d1d wp-block-buttons-is-layout-flex\">\n<div class=\"wp-block-button\"><a class=\"wp-block-button__link has-white-color has-vivid-cyan-blue-background-color has-text-color has-background wp-element-button\" href=\"https:\/\/www.practicemock.com\/ibps-rrb-assistant-test-series\/?ref=11490\"><strong>Take a RRB Clerk Free Mock Test &amp; Know How You Can Increase Your&nbsp;Answering&nbsp;Speed<\/strong><\/a><\/div>\n<\/div>\n\n\n\n<p><\/p>\n\n\n\n<div class=\"wp-block-buttons is-content-justification-center is-layout-flex wp-container-core-buttons-is-layout-16018d1d wp-block-buttons-is-layout-flex\">\n<div class=\"wp-block-button\"><a class=\"wp-block-button__link has-white-color has-vivid-cyan-blue-background-color has-text-color has-background wp-element-button\" href=\"https:\/\/www.practicemock.com\/ibps-rrb-officer-test-series\/?ref=11490\" target=\"_blank\" rel=\"noreferrer noopener\"><strong>Take 1 RRB PO Free Mock Test &amp; Measure Your Performance in Numbers<\/strong><\/a><\/div>\n<\/div>\n\n\n\n<p><\/p>\n\n\n\n<h2 class=\"wp-block-heading\">What is Probability?<\/h2>\n\n\n\n<p>Probability is the meaning of the likelihood of an event occurring. Probability is an occurring event. It ranges from 0 to 1, where 0 indicates that the event cannot happen, and 1 indicates certainty that the event will happen. The basic formula for probability is:<\/p>\n\n\n\n<figure class=\"wp-block-image size-full is-resized\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/www.practicemock.com\/blog\/wp-content\/uploads\/2024\/07\/image-1.png\" alt=\"\" class=\"wp-image-103144\" style=\"width:328px;height:72px\" width=\"328\" height=\"72\"\/><\/figure>\n\n\n\n<p><strong>i.e., P(A) = n(A)\/n(S)<\/strong><\/p>\n\n\n\n<p>where,<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>P(A) is the probability<\/li>\n\n\n\n<li>n(A) is the number of favorable outcomes<\/li>\n\n\n\n<li>n(S) is the total number of events occurring in a sample space.<\/li>\n<\/ul>\n\n\n\n<p><\/p>\n\n\n\n<div class=\"wp-block-buttons is-content-justification-center is-layout-flex wp-container-core-buttons-is-layout-16018d1d wp-block-buttons-is-layout-flex\">\n<div class=\"wp-block-button\"><a class=\"wp-block-button__link has-white-color has-vivid-cyan-blue-background-color has-text-color has-background wp-element-button\" href=\"https:\/\/www.practicemock.com\/blog\/ibps-rrb-notification-2024\/\" target=\"_blank\" rel=\"noreferrer noopener\"><strong>IBPS RRB Notification 2024- Click To Check<\/strong><\/a><\/div>\n<\/div>\n\n\n\n<p><\/p>\n\n\n\n<h2 class=\"wp-block-heading\">Practical Questions For Probability<\/h2>\n\n\n\n<p><strong>Question 1:<\/strong>&nbsp;A bag contains balls of three different colours such that the number of green and blue balls are in the ratio of 3:4 respectively while the number of red balls is 20. If probability of getting a green ball is 0.25, then find total number of balls in the bag.<\/p>\n\n\n\n<p>A) 48<\/p>\n\n\n\n<p>B) 34<\/p>\n\n\n\n<p>C) 41<\/p>\n\n\n\n<p>D) 27<\/p>\n\n\n\n<p>E) None of these<\/p>\n\n\n\n<p><strong>Question 2:<\/strong>&nbsp;A bag contains \u2018x\u2019 green and \u2018x + 1\u2019 red balls. If probability of drawing a red and a green ball from the bag simultaneously is 5\/9, then find number of red balls in the bag.<\/p>\n\n\n\n<p>A) 7<\/p>\n\n\n\n<p>B) 9<\/p>\n\n\n\n<p>C) 4<\/p>\n\n\n\n<p>D) 5<\/p>\n\n\n\n<p>E) None of these<\/p>\n\n\n\n<p><strong>Question 3:<\/strong>&nbsp;A bag containing 24 balls has red, blue and green balls in the ratio of 2:3:1, respectively. Two balls are drawn at random from the bag, then what is the probability that both drawn balls are of red colour.<\/p>\n\n\n\n<p>A) 3\/52<\/p>\n\n\n\n<p>B) 7\/69<\/p>\n\n\n\n<p>C) 11\/63<\/p>\n\n\n\n<p>D) 4\/53<\/p>\n\n\n\n<p>E) None of these<\/p>\n\n\n\n<p><strong>Question 4:<\/strong>&nbsp;Two dices are thrown together. What is the probability of getting a sum between 8 and 12?<\/p>\n\n\n\n<p>A) 7\/36<\/p>\n\n\n\n<p>B) 1\/4<\/p>\n\n\n\n<p>C) 5\/36<\/p>\n\n\n\n<p>D) 1\/6<\/p>\n\n\n\n<p>E) None of these<\/p>\n\n\n\n<p><strong>Question 5:<\/strong>&nbsp;Two dices are thrown together. What is the probability of getting a sum of either 6 or 8?<\/p>\n\n\n\n<p>A) 7\/18<\/p>\n\n\n\n<p>B) 11\/36<\/p>\n\n\n\n<p>C) 1\/4<\/p>\n\n\n\n<p>D) 3\/5<\/p>\n\n\n\n<p>E) 5\/18<\/p>\n\n\n\n<p><strong>Question 6:<\/strong>&nbsp;A box contains 12 articles out of which 4 are defective. If 6 articles are drawn randomly, then find the probability that out of 6 articles drawn only 1 article is defective.<\/p>\n\n\n\n<p>A) 6\/55<\/p>\n\n\n\n<p>B) 4\/231<\/p>\n\n\n\n<p>C) 5\/44<\/p>\n\n\n\n<p>D) 7\/22<\/p>\n\n\n\n<p>E) 8\/33<\/p>\n\n\n\n<p><strong>Question 7:<\/strong>&nbsp;A word consist of 7 letters i.e. 4 consonant and 3 vowels. 3 letters are selected at random. Find the probability that more than one consonant is selected.<\/p>\n\n\n\n<p>A) 22\/35<\/p>\n\n\n\n<p>B) 11\/34<\/p>\n\n\n\n<p>C) 13\/35<\/p>\n\n\n\n<p>D) 12\/35<\/p>\n\n\n\n<p>E) None of these<\/p>\n\n\n\n<p><strong>Question 8:<\/strong>&nbsp;A basket contains 3 apples and 7 mangoes. Two fruits are drawn at random. Find the probability that both the fruits are same.<\/p>\n\n\n\n<p>A) 8\/15<\/p>\n\n\n\n<p>B) 2\/9<\/p>\n\n\n\n<p>C) 1\/12<\/p>\n\n\n\n<p>D) 7\/15<\/p>\n\n\n\n<p>E) 4\/15<\/p>\n\n\n\n<p><strong>Question 9:<\/strong>&nbsp;Find the number of arrangements of the word \u201cPOSSIBILITIES\u201d so that all the vowels always occur together.<\/p>\n\n\n\n<p>A) 201600<\/p>\n\n\n\n<p>B) 403200<\/p>\n\n\n\n<p>C) 100800<\/p>\n\n\n\n<p>D) 302400<\/p>\n\n\n\n<p>E) None of these<\/p>\n\n\n\n<p><strong>Question 10:<\/strong>&nbsp;Number of green balls in a bag is 6 more than number of red balls which is 2 less than number of blue balls in it. If total number of balls in the bag is 50, then probability of drawing three different colour balls when three balls are drawn from the bag will be:<\/p>\n\n\n\n<p>A) 8\/35<\/p>\n\n\n\n<p>B) 4\/35<\/p>\n\n\n\n<p>C) 16\/35<\/p>\n\n\n\n<p>D) 1\/4<\/p>\n\n\n\n<p>E) None of these<\/p>\n\n\n\n<p><strong>\u092a\u094d\u0930\u0936\u094d\u0928<\/strong><strong> 1:<\/strong>&nbsp;\u090f\u0915 bag \u092e\u0947\u0902 \u0924\u0940\u0928 \u0935\u093f\u092d\u093f\u0928\u094d\u0928 \u0930\u0902\u0917 \u0915\u0947 balls \u0939\u0948 \u091c\u0939\u093e\u0901 green \u0914\u0930 blue balls \u0915\u0940 \u0938\u0902\u0916\u094d\u092f\u093e \u0915\u093e \u0905\u0928\u0941\u092a\u093e\u0924 \u0915\u094d\u0930\u092e\u0936\u0903 3:4 \u0939\u0948 \u091c\u092c\u0915\u093f red balls \u0915\u0940 \u0938\u0902\u0916\u094d\u092f\u093e 20 \u0939\u0948|\u092f\u0926\u093f \u090f\u0915 green ball \u0915\u094b \u092a\u094d\u0930\u093e\u092a\u094d\u0924 \u0915\u0930\u0928\u0947 \u0915\u0940 \u092a\u094d\u0930\u093e\u092f\u093f\u0915\u0924\u093e 0.25 \u0939\u0948, \u0924\u094b bag \u092e\u0947\u0902 balls \u0915\u0940 \u0915\u0941\u0932 \u0938\u0902\u0916\u094d\u092f\u093e \u091c\u094d\u091e\u093e\u0924 \u0915\u0930\u0947\u0902|<\/p>\n\n\n\n<p>A) 48<\/p>\n\n\n\n<p>B) 34<\/p>\n\n\n\n<p>C) 41<\/p>\n\n\n\n<p>D) 27<\/p>\n\n\n\n<p>E) \u0907\u0928\u092e\u0947 \u0938\u0947 \u0915\u094b\u0908 \u0928\u0939\u0940\u0902<\/p>\n\n\n\n<p><strong>\u092a\u094d\u0930\u0936\u094d\u0928<\/strong><strong> 2:<\/strong>&nbsp;\u090f\u0915 \u092c\u0948\u0917 \u092e\u0947\u0902 &#8216;x&#8217; green \u0914\u0930 &#8216;x + 1&#8217; red balls \u0939\u0948\u0902\u0964 \u092f\u0926\u093f \u092c\u0948\u0917 \u0938\u0947 \u090f\u0915 red \u0914\u0930 green ball \u090f\u0915 \u0938\u093e\u0925 \u0928\u093f\u0915\u093e\u0932\u0928\u0947 \u0915\u0940 \u092a\u094d\u0930\u093e\u092f\u093f\u0915\u0924\u093e 5\/9 \u0939\u0948, \u0924\u094b \u092c\u0948\u0917 \u092e\u0947\u0902 red balls \u0915\u0940 \u0938\u0902\u0916\u094d\u092f\u093e \u091c\u094d\u091e\u093e\u0924 \u0915\u0940\u091c\u093f\u090f\u0964<\/p>\n\n\n\n<p>A) 7<\/p>\n\n\n\n<p>B) 9<\/p>\n\n\n\n<p>C) 4<\/p>\n\n\n\n<p>D) 5<\/p>\n\n\n\n<p>E) \u0907\u0928\u092e\u0947\u0902 \u0938\u0947 \u0915\u094b\u0908 \u0928\u0939\u0940\u0902<\/p>\n\n\n\n<p><strong>\u092a\u094d\u0930\u0936\u094d\u0928<\/strong><strong> 3:<\/strong>&nbsp;24 balls \u0935\u093e\u0932\u0947 \u090f\u0915 \u092c\u0948\u0917 \u092e\u0947\u0902 red, blue \u0914\u0930 green balls \u0915\u093e \u0905\u0928\u0941\u092a\u093e\u0924 \u0915\u094d\u0930\u092e\u0936\u0903 2:3:1 \u0939\u0948|\u092c\u0948\u0917 \u0938\u0947 \u0926\u094b balls \u0915\u093e \u091a\u0941\u0928\u093e\u0935 \u0915\u093f\u092f\u093e \u091c\u093e\u0924\u093e \u0939\u0948, \u0924\u094b \u0907\u0938 \u092c\u093e\u0924 \u0915\u0940 \u0915\u093f\u0924\u0928\u0940 \u092a\u094d\u0930\u093e\u092f\u093f\u0915\u0924\u093e \u0939\u094b\u0917\u0940 \u0915\u093f \u0928\u093f\u0915\u093e\u0932\u0947 \u0917\u090f \u0926\u094b\u0928\u094b\u0902 balls red \u0930\u0902\u0917 \u0915\u0947 \u0939\u094b\u0902\u0917\u0947?<\/p>\n\n\n\n<p>A) 3\/52<\/p>\n\n\n\n<p>B) 7\/69<\/p>\n\n\n\n<p>C) 11\/63<\/p>\n\n\n\n<p>D) 4\/53<\/p>\n\n\n\n<p>E) \u0907\u0928\u092e\u0947 \u0938\u0947 \u0915\u094b\u0908 \u0928\u0939\u0940\u0902<\/p>\n\n\n\n<p><strong>\u092a\u094d\u0930\u0936\u094d\u0928<\/strong><strong> 4:<\/strong>&nbsp;\u0926\u094b \u092a\u093e\u0938\u094b\u0902 \u0915\u094b \u0938\u093e\u0925 \u092e\u0947\u0902 \u092b\u0947\u0902\u0915\u093e \u091c\u093e\u0924\u093e \u0939\u0948|8 \u0914\u0930 12 \u0915\u0947 \u092c\u0940\u091a \u0915\u0947 \u092f\u094b\u0917 \u0915\u094b \u092a\u094d\u0930\u093e\u092a\u094d\u0924 \u0915\u0930\u0928\u0947 \u0915\u0940 \u092a\u094d\u0930\u093e\u092f\u093f\u0915\u0924\u093e \u0915\u093f\u0924\u0928\u0940 \u0939\u0948?<\/p>\n\n\n\n<p>A) 7\/36<\/p>\n\n\n\n<p>B) 1\/4<\/p>\n\n\n\n<p>C) 5\/36<\/p>\n\n\n\n<p>D) 1\/6<\/p>\n\n\n\n<p>E) \u0907\u0928\u092e\u0947 \u0938\u0947 \u0915\u094b\u0908 \u092d\u0940 \u0928\u0939\u0940\u0902<\/p>\n\n\n\n<p><strong>\u092a\u094d\u0930\u0936\u094d\u0928<\/strong><strong> 5:<\/strong>&nbsp;\u0926\u094b \u092a\u093e\u0938\u0947 \u0915\u094b \u0938\u093e\u0925 \u092e\u0947\u0902 \u092b\u0947\u0902\u0915\u093e \u091c\u093e\u0924\u093e \u0939\u0948|\u092f\u093e \u0924\u094b 6 \u092f\u093e 8 \u0915\u093e \u092f\u094b\u0917 \u091c\u094d\u091e\u093e\u0924 \u0915\u0930\u0928\u0947 \u0915\u0940 \u092a\u094d\u0930\u093e\u092f\u093f\u0915\u0924\u093e \u0915\u093f\u0924\u0928\u0940 \u0939\u0948?<\/p>\n\n\n\n<p>A) 7\/18<\/p>\n\n\n\n<p>B) 11\/36<\/p>\n\n\n\n<p>C) 1\/4<\/p>\n\n\n\n<p>D) 3\/5<\/p>\n\n\n\n<p>E) 5\/18<\/p>\n\n\n\n<p><strong>\u092a\u094d\u0930\u0936\u094d\u0928<\/strong><strong> 6:<\/strong>&nbsp;\u090f\u0915 box \u092e\u0947\u0902 12 \u0935\u0938\u094d\u0924\u0941\u090f\u0902 \u0939\u0948\u0902 \u091c\u093f\u0928\u092e\u0947\u0902 \u0938\u0947 4 \u0916\u093c\u0930\u093e\u092c \u0939\u094b\u0924\u0947 \u0939\u0948\u0902\u0964 \u092f\u0926\u093f 6 \u0935\u0938\u094d\u0924\u0941\u0913\u0902 \u0915\u094b \u092f\u0926\u0943\u091b\u092f\u093e \u0928\u093f\u0915\u093e\u0932\u093e \u091c\u093e\u0924\u093e \u0939\u0948\u0902, \u0924\u094b \u0907\u0938 \u092c\u093e\u0924 \u0915\u0940 \u092a\u094d\u0930\u093e\u092f\u093f\u0915\u0924\u093e \u091c\u094d\u091e\u093e\u0924 \u0915\u0930\u0947\u0902 \u0915\u093f 6 \u0935\u0938\u094d\u0924\u0941\u0913\u0902 \u092e\u0947\u0902 \u0938\u0947 \u0915\u0947\u0935\u0932 1 \u0935\u0938\u094d\u0924\u0941 \u0916\u093c\u0930\u093e\u092c \u0939\u0948\u0964<\/p>\n\n\n\n<p>A) 6\/55<\/p>\n\n\n\n<p>B) 4\/231<\/p>\n\n\n\n<p>C) 5\/44<\/p>\n\n\n\n<p>D) 7\/22<\/p>\n\n\n\n<p>E) 8\/33<\/p>\n\n\n\n<p><strong>\u092a\u094d\u0930\u0936\u094d\u0928<\/strong><strong> 7:<\/strong>&nbsp;\u090f\u0915 \u0936\u092c\u094d\u0926 \u092e\u0947\u0902 7 \u0905\u0915\u094d\u0937\u0930 \u0905\u0930\u094d\u0925\u093e\u0924 4 consonant \u0914\u0930 3 vowels \u0939\u094b\u0924\u0947 \u0939\u0948\u0902\u0964 3 \u0905\u0915\u094d\u0937\u0930 \u092f\u093e\u0926\u0943\u091a\u094d\u091b\u093f\u0915 \u092a\u0930 \u091a\u0941\u0928\u0947 \u0917\u090f \u0939\u0948\u0902\u0964 \u090f\u0915 \u0938\u0947 \u0905\u0927\u093f\u0915 consonant \u091a\u0941\u0928\u0947 \u091c\u093e\u0928\u0947 \u0915\u0940 \u092a\u094d\u0930\u093e\u092f\u093f\u0915\u0924\u093e \u091c\u094d\u091e\u093e\u0924 \u0915\u0940\u091c\u093f\u090f\u0964<\/p>\n\n\n\n<p>A) 22\/35<\/p>\n\n\n\n<p>B) 11\/34<\/p>\n\n\n\n<p>C) 13\/35<\/p>\n\n\n\n<p>D) 12\/35<\/p>\n\n\n\n<p>E) \u0907\u0928\u092e\u0947\u0902 \u0938\u0947 \u0915\u094b\u0908 \u0928\u0939\u0940\u0902<\/p>\n\n\n\n<p><strong>\u092a\u094d\u0930\u0936\u094d\u0928<\/strong><strong> 8:<\/strong>&nbsp;\u090f\u0915 \u091f\u094b\u0915\u0930\u0940 \u092e\u0947\u0902 3 \u0938\u0947\u092c \u0914\u0930 7 \u0906\u092e \u0939\u0948\u0902\u0964 \u092f\u093e\u0926\u0943\u091a\u094d\u091b\u093f\u0915 \u0930\u0942\u092a \u0938\u0947 \u0926\u094b \u092b\u0932 \u0928\u093f\u0915\u093e\u0932\u0947 \u091c\u093e\u0924\u0947 \u0939\u0948\u0902\u0964 \u0926\u094b\u0928\u094b\u0902 \u092b\u0932\u094b\u0902 \u0915\u0947 \u0938\u092e\u093e\u0928 \u0939\u094b\u0928\u0947 \u0915\u0940 \u092a\u094d\u0930\u093e\u092f\u093f\u0915\u0924\u093e \u091c\u094d\u091e\u093e\u0924 \u0915\u0940\u091c\u093f\u090f\u0964<\/p>\n\n\n\n<p>A) 8\/15<\/p>\n\n\n\n<p>B) 2\/9<\/p>\n\n\n\n<p>C) 1\/12<\/p>\n\n\n\n<p>D) 7\/15<\/p>\n\n\n\n<p>E) 4\/15<\/p>\n\n\n\n<p><strong>\u092a\u094d\u0930\u0936\u094d\u0928<\/strong><strong> 9:<\/strong>&nbsp;\u0936\u092c\u094d\u0926 &#8220;POSSIBILITIES&#8221; \u0915\u0940 \u0935\u094d\u092f\u0935\u0938\u094d\u0925\u093e\u0913\u0902 \u0915\u0940 \u0938\u0902\u0916\u094d\u092f\u093e \u091c\u094d\u091e\u093e\u0924 \u0915\u0930\u0947\u0902 \u0924\u093e\u0915\u093f \u0938\u092d\u0940 vowels \u0939\u092e\u0947\u0936\u093e \u090f\u0915 \u0938\u093e\u0925 \u0939\u094b\u0902\u0964<\/p>\n\n\n\n<p>A) 201600<\/p>\n\n\n\n<p>B) 403200<\/p>\n\n\n\n<p>C) 100800<\/p>\n\n\n\n<p>D) 302400<\/p>\n\n\n\n<p>E) \u0907\u0928\u092e\u0947\u0902 \u0938\u0947 \u0915\u094b\u0908 \u0928\u0939\u0940\u0902<\/p>\n\n\n\n<p><strong>\u092a\u094d\u0930\u0936\u094d\u0928<\/strong><strong> 10:<\/strong>&nbsp;\u090f\u0915 \u092c\u0948\u0917 \u092e\u0947\u0902 green balls \u0915\u0940 \u0938\u0902\u0916\u094d\u092f\u093e red balls \u0915\u0940 \u0938\u0902\u0916\u094d\u092f\u093e \u0938\u0947 6 \u0905\u0927\u093f\u0915 \u0939\u0948 \u091c\u094b \u0909\u0938\u092e\u0947\u0902 blue balls \u0915\u0940 \u0938\u0902\u0916\u094d\u092f\u093e \u0938\u0947 2 \u0915\u092e \u0939\u0948\u0964 \u092f\u0926\u093f \u092c\u0948\u0917 \u092e\u0947\u0902 balls \u0915\u0940 \u0915\u0941\u0932 \u0938\u0902\u0916\u094d\u092f\u093e 50 \u0939\u0948, \u0924\u094b \u092c\u0948\u0917 \u0938\u0947 \u0924\u0940\u0928 balls \u0928\u093f\u0915\u093e\u0932\u0928\u0947 \u092a\u0930 \u0924\u0940\u0928 \u0905\u0932\u0917-\u0905\u0932\u0917 \u0930\u0902\u0917 \u0915\u0940 balls \u0928\u093f\u0915\u093e\u0932\u0928\u0947 \u0915\u0940 \u092a\u094d\u0930\u093e\u092f\u093f\u0915\u0924\u093e \u0915\u093f\u0924\u0928\u0940 \u0939\u094b\u0917\u0940:<\/p>\n\n\n\n<p>A) 8\/35<\/p>\n\n\n\n<p>B) 4\/35<\/p>\n\n\n\n<p>C) 16\/35<\/p>\n\n\n\n<p>D) 1\/4<\/p>\n\n\n\n<p>E) \u0907\u0928\u092e\u0947\u0902 \u0938\u0947 \u0915\u094b\u0908 \u0928\u0939\u0940\u0902<\/p>\n\n\n\n<p><strong>ANSWER KEYS and SOLUTIONS:<\/strong><\/p>\n\n\n\n<figure class=\"wp-block-table\"><table><tbody><tr><td>1) &#8211; A)<\/td><td>2) &#8211; D)<\/td><td>3) &#8211; B)<\/td><td>4) &#8211; B)<\/td><td>5) &#8211; E)<\/td><td>6) &#8211; E)<\/td><\/tr><tr><td>7) &#8211; A)<\/td><td>8) &#8211; A)<\/td><td>9) &#8211; A)<\/td><td>10) &#8211; A)<\/td><td><\/td><td><\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<p><strong>Solution 1: A)<\/strong><\/p>\n\n\n\n<p>Let number of green and blue balls in the bag is \u20183x\u2019 and \u20184x\u2019 respectively.<\/p>\n\n\n\n<p>Total number of balls in the bag = 3x + 4x + 20 = 7x + 20<\/p>\n\n\n\n<p>According to question;<\/p>\n\n\n\n<p>3x\/(7x + 20) = 1\/4<\/p>\n\n\n\n<p>Or, 12x = 7x + 20<\/p>\n\n\n\n<p>Or, 5x = 20<\/p>\n\n\n\n<p>Or, x = 4<\/p>\n\n\n\n<p>Total number of balls in the bag = 7 \u00d7 4 + 20 = 48<\/p>\n\n\n\n<p>Hence, option a.<\/p>\n\n\n\n<p><strong>Solution 2: D)<\/strong><\/p>\n\n\n\n<p>Total number of balls in the bag = x + x + 1 = 2x + 1<\/p>\n\n\n\n<p>So, {(<sup>x<\/sup>C<sub>1<\/sub>&nbsp;\u00d7&nbsp;<sup>(x + 1)<\/sup>C<sub>1<\/sub>)\/<sup>(2x + 1)<\/sup>C<sub>2<\/sub>} = 5\/9<\/p>\n\n\n\n<p>Or, {2x(x + 1)\/(2x + 1)2x} = 5\/9<\/p>\n\n\n\n<p>Or, 9x + 9 = 10x + 5<\/p>\n\n\n\n<p>Or, x = 4<\/p>\n\n\n\n<p>So, number of red balls = x + 1 = 4 + 1 = 5<\/p>\n\n\n\n<p>Hence, option d.<\/p>\n\n\n\n<p><strong>Solution 3: B)<\/strong><\/p>\n\n\n\n<p>Number of red balls in bag = 2\/6 \u00d7 24 = 8<\/p>\n\n\n\n<p>Required probability =&nbsp;<sup>8<\/sup>C<sub>2<\/sub>\/&nbsp;<sup>24<\/sup>C<sub>2<\/sub>= 7\/69<\/p>\n\n\n\n<p>Hence, option b.<\/p>\n\n\n\n<p><strong>Solution 4: B)<\/strong><\/p>\n\n\n\n<p>Total number of outcomes = 6 \u00d7 6 = 36<\/p>\n\n\n\n<p>Favourable outcomes are (3,6), (4,5), (5,4), (6,3), (4,6), (5,5), (6,4), (6,5), (5,6)<\/p>\n\n\n\n<p>Total number of favourable outcomes = 9<\/p>\n\n\n\n<p>Desired probability = 9\/36 = 1\/4<\/p>\n\n\n\n<p>Hence, option b.<\/p>\n\n\n\n<p><strong>Solution 5: E)<\/strong><\/p>\n\n\n\n<p>Total number of outcomes = 6 \u00d7 6 = 36<\/p>\n\n\n\n<p>Favourable outcomes = (3,3), (4,2), (5,1), (2,4), (1,5), (6,2), (2,6), (5,3), (3,5), (4,4)<\/p>\n\n\n\n<p>Total number of favourable outcomes = 10<\/p>\n\n\n\n<p>Desired probability = 10\/36 = 5\/18<\/p>\n\n\n\n<p>Hence, option e.<\/p>\n\n\n\n<p><strong>Solution 6: E)<\/strong><\/p>\n\n\n\n<p>Since, 6 articles are drawn randomly<\/p>\n\n\n\n<p>Therefore, total number of ways of selecting 6 articles =&nbsp;<sup>12<\/sup>C<sub>6<\/sub>&nbsp;= 12!\/{6! \u00d7 (12 \u2013 6)!} = 924<\/p>\n\n\n\n<p>Number of ways of selecting 5 non-defective articles out of 8 =&nbsp;<sup>8<\/sup>C<sub>5<\/sub>&nbsp;= 56 ways<\/p>\n\n\n\n<p>Number of ways of selecting 1 defective article out of 4 defective articles =&nbsp;<sup>4<\/sup>C<sub>1<\/sub>&nbsp;= 4<\/p>\n\n\n\n<p>Required probability = Number of ways of getting desired outcome\/Total number of outcomes = (56 \u00d7 4)\/924 = 8\/33<\/p>\n\n\n\n<p>Hence, option e.<\/p>\n\n\n\n<p><strong>Solution 7: A)<\/strong><\/p>\n\n\n\n<p>Number of ways of selecting 3 letters out of 7 =&nbsp;<sup>7<\/sup>C<sub>3<\/sub>&nbsp;= 35 ways<\/p>\n\n\n\n<p>Number of ways of selecting more than 1 consonant = (2 consonants and 1 vowel + 3 consonants)<\/p>\n\n\n\n<p>Required number of ways =&nbsp;<sup>4<\/sup>C<sub>2<\/sub>&nbsp;\u00d7&nbsp;<sup>3<\/sup>C<sub>1<\/sub>&nbsp;+&nbsp;<sup>4<\/sup>C<sub>3<\/sub>&nbsp;= 6 \u00d7 3 + 4 = 22 ways<\/p>\n\n\n\n<p>Required probability = 22\/35<\/p>\n\n\n\n<p>Hence, option a.<\/p>\n\n\n\n<p><strong>Solution 8: A)<\/strong><\/p>\n\n\n\n<p>Total number of fruits in the basket = 3 + 7 = 10<\/p>\n\n\n\n<p>Number of ways of withdrawing 2 fruits =&nbsp;<sup>10<\/sup>C<sub>2<\/sub>&nbsp;= (10 \u00d7 9)\/2 = 45<\/p>\n\n\n\n<p>Number of ways of withdrawing same fruits =&nbsp;<sup>3<\/sup>C<sub>2<\/sub>&nbsp;+&nbsp;<sup>7<\/sup>C<sub>2<\/sub>&nbsp;= 3 + 21 = 24<\/p>\n\n\n\n<p>Required probability = 24\/45 = 8\/15<\/p>\n\n\n\n<p>Hence, option a.<\/p>\n\n\n\n<p><strong>Solution 9: A)<\/strong><\/p>\n\n\n\n<p>Desired number of ways = (8! \u00d7 6!)\/(4! \u00d7 3!) = 201600<\/p>\n\n\n\n<p>Hence, option a.<\/p>\n\n\n\n<p><strong>Solution 10: A)<\/strong><\/p>\n\n\n\n<p>Let number of red balls be \u2018x\u2019<\/p>\n\n\n\n<p>So, number of green ball = \u2018x + 6\u2019<\/p>\n\n\n\n<p>Number of blue ball = x + 2<\/p>\n\n\n\n<p>So, x + x + 6 + x + 2 = 50<\/p>\n\n\n\n<p>Or, 3x = 42<\/p>\n\n\n\n<p>Or, x = 14<\/p>\n\n\n\n<p>So, number of red balls = 14<\/p>\n\n\n\n<p>Number of green balls = 14 + 6 = 20<\/p>\n\n\n\n<p>Number of blue balls = 14 + 2 = 16<\/p>\n\n\n\n<p>Desired probability = {<sup>16<\/sup>C<sub>1<\/sub>&nbsp;\u00d7&nbsp;<sup>20<\/sup>C<sub>1<\/sub>&nbsp;\u00d7&nbsp;<sup>14<\/sup>C<sub>1<\/sub>}\/<sup>50<\/sup>C<sub>3<\/sub>&nbsp;= (16 \u00d7 20 \u00d7 14 \u00d7 6)\/(50 \u00d7 49 \u00d7 48) = 8\/35<\/p>\n\n\n\n<p>Hence, option a.<\/p>\n\n\n\n<p><\/p>\n\n\n\n<p><\/p>\n\n\n\n<div class=\"wp-block-buttons is-content-justification-center is-layout-flex wp-container-core-buttons-is-layout-16018d1d wp-block-buttons-is-layout-flex\">\n<div class=\"wp-block-button\"><a class=\"wp-block-button__link has-white-color has-vivid-cyan-blue-background-color has-text-color has-background wp-element-button\" href=\"https:\/\/www.practicemock.com\/blog\/ibps-rrb-po-clerk-pdf-course\/\" target=\"_blank\" rel=\"noreferrer noopener\"><strong><strong>IBPS RRB PO\/Clerk PDF Course \u2013 Click To Check<\/strong><\/strong><\/a><\/div>\n<\/div>\n\n\n\n<p><\/p>\n\n\n\n<h2 class=\"wp-block-heading\">Check Related Blogs For IBPS RRB PO 2024<\/h2>\n\n\n\n<figure class=\"wp-block-table\"><table><tbody><tr><td colspan=\"2\"><strong>Check Related IBPS RRB PO Blogs<\/strong><\/td><\/tr><tr><td><a href=\"https:\/\/www.practicemock.com\/blog\/ibps-rrb-po\/ibps-rrb-po-syllabus\/\" target=\"_blank\" rel=\"noreferrer noopener\">IBPS RRB PO Syllabus 2024<\/a><\/td><td><a href=\"https:\/\/www.practicemock.com\/blog\/ibps-rrb-po\/ibps-rrb-po-cut-off\/\" target=\"_blank\" rel=\"noreferrer noopener\">IBPS RRB PO Cut Off 2024<\/a><\/td><\/tr><tr><td><a href=\"https:\/\/www.practicemock.com\/blog\/ibps-rrb-po\/ibps-rrb-po-exam-pattern\/\" target=\"_blank\" rel=\"noreferrer noopener\">IBPS RRB PO Exam Pattern 2024<\/a><\/td><td><a href=\"https:\/\/www.practicemock.com\/blog\/ibps-rrb-po\/ibps-rrb-po-previous-year-question-paper\/\" target=\"_blank\" rel=\"noreferrer noopener\">IBPS RRB PO Previous Year Question Paper 2024<\/a><\/td><\/tr><tr><td><a href=\"https:\/\/www.practicemock.com\/blog\/ibps-rrb-po\/ibps-rrb-po-salary\/\" target=\"_blank\" rel=\"noreferrer noopener\">IBPS RRB PO Salary 2024<\/a><\/td><td><\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<h2 class=\"wp-block-heading\">Check Related Blogs For IBPS RRB Clerk 2024<\/h2>\n\n\n\n<figure class=\"wp-block-table\"><table><tbody><tr><td colspan=\"2\"><strong>Check Related Blogs For IBPS RRB Clerk 2024<\/strong><\/td><\/tr><tr><td><a href=\"https:\/\/www.practicemock.com\/blog\/ibps-rrb-clerk\/ibps-rrb-clerk-syllabus\/\" target=\"_blank\" rel=\"noreferrer noopener\">IBPS RRB Clerk Syllabus 2024<\/a><\/td><td><a href=\"https:\/\/www.practicemock.com\/blog\/ibps-rrb-clerk\/ibps-rrb-clerk-cut-off\/\" target=\"_blank\" rel=\"noreferrer noopener\">IBPS RRB Clerk Cut Off 2024<\/a><\/td><\/tr><tr><td><a href=\"https:\/\/www.practicemock.com\/blog\/ibps-rrb-clerk\/ibps-rrb-clerk-exam-pattern\/\" target=\"_blank\" rel=\"noreferrer noopener\">IBPS RRB Clerk Exam Pattern 2024<\/a><\/td><td><a href=\"https:\/\/www.practicemock.com\/blog\/ibps-rrb-clerk\/ibps-rrb-clerk-previous-year-question-paper\/\" target=\"_blank\" rel=\"noreferrer noopener\">IBPS RRB Clerk Previous Year Question Paper 2024<\/a><\/td><\/tr><tr><td><a href=\"https:\/\/www.practicemock.com\/blog\/ibps-rrb-clerk\/ibps-rrb-clerk-salary\/\" target=\"_blank\" rel=\"noreferrer noopener\">IBPS RRB Clerk Salary 2024<\/a><\/td><td><\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<p><\/p>\n\n\n\n<h2 class=\"wp-block-heading\">Probability For IBPS RRB 2024 Exam FAQ<\/h2>\n\n\n\n<div class=\"schema-faq wp-block-yoast-faq-block\"><div class=\"schema-faq-section\" id=\"faq-question-1721627667688\"><strong class=\"schema-faq-question\"><strong>What is probability?<\/strong><\/strong> <p class=\"schema-faq-answer\">Probability is the measure of the likelihood that an event will occur. It ranges from 0 to 1.<\/p> <\/div> <div class=\"schema-faq-section\" id=\"faq-question-1721629983278\"><strong class=\"schema-faq-question\">What is an event in probability?<\/strong> <p class=\"schema-faq-answer\">An event is a subset of the sample space. It consists of one or more outcomes.<\/p> <\/div> <div class=\"schema-faq-section\" id=\"faq-question-1721630032241\"><strong class=\"schema-faq-question\">What is the formula for calculating probability?<\/strong> <p class=\"schema-faq-answer\">The Formula for calculating probability is P(E)= Number of favorable outcomes\/Total number of possible outcomes<\/p> <\/div> <\/div>\n","protected":false},"excerpt":{"rendered":"<p>Candidates boost your preparation for Probability For IBPS RRB 2024 Exam, Check practical question along with solution in the article below.<\/p>\n","protected":false},"author":13,"featured_media":103137,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_uag_custom_page_level_css":"","_monsterinsights_skip_tracking":false,"_monsterinsights_sitenote_active":false,"_monsterinsights_sitenote_note":"","_monsterinsights_sitenote_category":0,"_uf_show_specific_survey":0,"_uf_disable_surveys":false,"footnotes":""},"categories":[22],"tags":[],"class_list":["post-103133","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-banking-insurance"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v25.9 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>Probability For IBPS RRB 2024 Exam,\u00a0Check Questions With Solution<\/title>\n<meta name=\"description\" content=\"Candidates boost your preparation for Probability For IBPS RRB 2024 Exam, Check practical question along with solution in the article below.\" 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Singh","twitter_card":"summary_large_image","twitter_misc":{"Written by":"Sweta Singh","Est. reading time":"9 minutes"},"schema":{"@context":"https:\/\/schema.org","@graph":[{"@type":["WebPage","FAQPage"],"@id":"https:\/\/www.practicemock.com\/blog\/probability-for-ibps-rrb-exam\/","url":"https:\/\/www.practicemock.com\/blog\/probability-for-ibps-rrb-exam\/","name":"Probability For IBPS RRB 2024 Exam,\u00a0Check Questions With 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I cleared many bank exams time by time but couldn't join because of my passion towards writing. I write blogs to help aspirants prepare for Banking and Insurance exams. These blogs turn out to be a one-stop destination for comprehensive information on some of the biggest competitive exams like SBI PO\/Clerk, IBPS PO\/Clerk, IBPS RRB PO\/Clerk and RBI. My ultimate goal is to provide accurate and easy-to-understand information, covering topics like exam patterns, syllabus, study techniques, and more. Join me on this journey of knowledge!","url":"https:\/\/www.practicemock.com\/blog\/author\/ss8860409gmail-com\/"},{"@type":"Question","@id":"https:\/\/www.practicemock.com\/blog\/probability-for-ibps-rrb-exam\/#faq-question-1721627667688","position":1,"url":"https:\/\/www.practicemock.com\/blog\/probability-for-ibps-rrb-exam\/#faq-question-1721627667688","name":"What is probability?","answerCount":1,"acceptedAnswer":{"@type":"Answer","text":"Probability is the measure of the likelihood that an event will occur. It ranges from 0 to 1.","inLanguage":"en-US"},"inLanguage":"en-US"},{"@type":"Question","@id":"https:\/\/www.practicemock.com\/blog\/probability-for-ibps-rrb-exam\/#faq-question-1721629983278","position":2,"url":"https:\/\/www.practicemock.com\/blog\/probability-for-ibps-rrb-exam\/#faq-question-1721629983278","name":"What is an event in probability?","answerCount":1,"acceptedAnswer":{"@type":"Answer","text":"An event is a subset of the sample space. It consists of one or more outcomes.","inLanguage":"en-US"},"inLanguage":"en-US"},{"@type":"Question","@id":"https:\/\/www.practicemock.com\/blog\/probability-for-ibps-rrb-exam\/#faq-question-1721630032241","position":3,"url":"https:\/\/www.practicemock.com\/blog\/probability-for-ibps-rrb-exam\/#faq-question-1721630032241","name":"What is the formula for calculating probability?","answerCount":1,"acceptedAnswer":{"@type":"Answer","text":"The Formula for calculating probability is P(E)= Number of favorable outcomes\/Total number of possible outcomes","inLanguage":"en-US"},"inLanguage":"en-US"}]}},"uagb_featured_image_src":{"full":["https:\/\/www.practicemock.com\/blog\/wp-content\/uploads\/2024\/07\/Probability-For-IBPS-RRB.png",1280,768,false],"thumbnail":["https:\/\/www.practicemock.com\/blog\/wp-content\/uploads\/2024\/07\/Probability-For-IBPS-RRB.png",150,90,false],"medium":["https:\/\/www.practicemock.com\/blog\/wp-content\/uploads\/2024\/07\/Probability-For-IBPS-RRB.png",300,180,false],"medium_large":["https:\/\/www.practicemock.com\/blog\/wp-content\/uploads\/2024\/07\/Probability-For-IBPS-RRB.png",640,384,false],"large":["https:\/\/www.practicemock.com\/blog\/wp-content\/uploads\/2024\/07\/Probability-For-IBPS-RRB.png",640,384,false],"1536x1536":["https:\/\/www.practicemock.com\/blog\/wp-content\/uploads\/2024\/07\/Probability-For-IBPS-RRB.png",1280,768,false],"2048x2048":["https:\/\/www.practicemock.com\/blog\/wp-content\/uploads\/2024\/07\/Probability-For-IBPS-RRB.png",1280,768,false],"web-stories-poster-portrait":["https:\/\/www.practicemock.com\/blog\/wp-content\/uploads\/2024\/07\/Probability-For-IBPS-RRB.png",640,384,false],"web-stories-publisher-logo":["https:\/\/www.practicemock.com\/blog\/wp-content\/uploads\/2024\/07\/Probability-For-IBPS-RRB.png",96,58,false],"web-stories-thumbnail":["https:\/\/www.practicemock.com\/blog\/wp-content\/uploads\/2024\/07\/Probability-For-IBPS-RRB.png",150,90,false]},"uagb_author_info":{"display_name":"Sweta Singh","author_link":"https:\/\/www.practicemock.com\/blog\/author\/ss8860409gmail-com\/"},"uagb_comment_info":8,"uagb_excerpt":"Candidates boost your preparation for Probability For IBPS RRB 2024 Exam, Check practical question along with solution in the article below.","_links":{"self":[{"href":"https:\/\/www.practicemock.com\/blog\/wp-json\/wp\/v2\/posts\/103133","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.practicemock.com\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.practicemock.com\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.practicemock.com\/blog\/wp-json\/wp\/v2\/users\/13"}],"replies":[{"embeddable":true,"href":"https:\/\/www.practicemock.com\/blog\/wp-json\/wp\/v2\/comments?post=103133"}],"version-history":[{"count":0,"href":"https:\/\/www.practicemock.com\/blog\/wp-json\/wp\/v2\/posts\/103133\/revisions"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.practicemock.com\/blog\/wp-json\/wp\/v2\/media\/103137"}],"wp:attachment":[{"href":"https:\/\/www.practicemock.com\/blog\/wp-json\/wp\/v2\/media?parent=103133"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.practicemock.com\/blog\/wp-json\/wp\/v2\/categories?post=103133"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.practicemock.com\/blog\/wp-json\/wp\/v2\/tags?post=103133"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}