{"id":65568,"date":"2023-10-28T11:30:00","date_gmt":"2023-10-28T06:00:00","guid":{"rendered":"https:\/\/www.practicemock.com\/blog\/?p=65568"},"modified":"2023-10-27T12:24:07","modified_gmt":"2023-10-27T06:54:07","slug":"probability-tips-practice-questions-for-sbi-po-prelims","status":"publish","type":"post","link":"https:\/\/www.practicemock.com\/blog\/probability-tips-practice-questions-for-sbi-po-prelims\/","title":{"rendered":"Probability Tips & Practice Questions for SBI PO Prelims"},"content":{"rendered":"\n

SBI PO prelims exam is about to commence in a few days from now and it\u2019s high time that the aspirants must revise for this upcoming examination. Quantitative Aptitude is one topic which requires rigorous practice and each and every concept is to be studied and practiced well. We are collating different topics\/concepts of quant and sharing the tips and practice questions. In this article we will be discussing Probability Tips & Practice Questions for SBI PO Prelims<\/a>. <\/p>\n\n\n\n

SBI PO Prelims Exam Pattern<\/h3>\n\n\n\n
S.No.<\/td>Name of Tests<\/td>No. of Questions<\/td>Maximum Marks<\/td>Medium of Exam<\/td>Time allotted for each test (Separately timed)<\/td><\/tr>
1<\/td>English Language<\/td>30<\/td>30<\/td>English<\/td>20 minutes<\/td><\/tr>
2<\/td>Quantitative Aptitude<\/td>35<\/td>35<\/td>English and Hindi<\/td>20 minutes<\/td><\/tr>
3<\/td>Reasoning Ability<\/td>35<\/td>35<\/td>English and Hindi<\/td>20 minutes<\/td><\/tr>
 <\/td>Total<\/td>100<\/td>100<\/td> <\/td> <\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n

SBI PO prelims free mock test 2023<\/a><\/p>\n\n\n\n

Probability Tips & Practice Questions for SBI PO Prelims<\/h2>\n\n\n\n

Probability:<\/strong><\/h3>\n\n\n\n

Questions based on probability can be asked in the following ways
i) To find the probability of an event<\/p>\n\n\n\n

ii) To find the probability of a combination of different events<\/p>\n\n\n\n

iii) To find the difference in the probability of occurrence of two or more different events.<\/p>\n\n\n\n

Basics:<\/h4>\n\n\n\n

Probability is the measure that tells us how likely is an event to happen.<\/p>\n\n\n\n

Let \u2018P\u2019 be the value of probability of occurrence of an event.<\/p>\n\n\n\n

Then, 0 \u2264 P \u2264 1<\/p>\n\n\n\n

If an event is a certain event, i.e. if it is sure that the event is going to occur, then probability of the given event is \u20181\u2019.<\/p>\n\n\n\n

If an event is an impossible event i.e. if it is sure that the event cannot occur, then probability of occurrence of the given event is \u20180\u2019.<\/p>\n\n\n\n

Probability of two related events:<\/p>\n\n\n\n

Consider the event of writing an examination. The given event has only two possible outcomes: passing the examination and failing the examination.<\/p>\n\n\n\n

Let \u2018P\u2019 be the probability of passing the examination and let \u2018Q\u2019 be the probability of failing the examination. Then (P + Q) = 1.<\/p>\n\n\n\n

Following the same principle, if \u2018P\u2019 be the probability of a person passing the exam, then the probability of the person failing the exam is (1 \u2013 P).<\/p>\n\n\n\n

Classical definition of probability = Number of favorable events in the outcome \u00f7 total number of events in the outcome<\/p>\n\n\n\n

The set of all possible events is called the sample space.<\/p>\n\n\n\n

The set of events which is of interest to us is called the event.<\/p>\n\n\n\n

Then, probability of a given event = n(E) \u00f7 n(S)<\/p>\n\n\n\n

Bias \u2013 When the probability of a certain event is different than the usually expected probability, then the occurrence of the event is said to be biased. For example, while tossing a coin, if the probability of getting a head and a tail are not the equal, then the coin is said to be a biased coin.<\/p>\n\n\n\n

Let \u2018E1<\/sub>\u2019 and \u2018E2<\/sub>\u2019 be two different events where the probability of occurrence of \u2018E1<\/sub>\u2019 and \u2018E2<\/sub>\u2019 is \u2018p\u2019 and \u2018q\u2019, respectively<\/p>\n\n\n\n

Then, the probability of occurrence of both \u2018E1<\/sub>\u2019 and \u2018E2<\/sub>\u2019 = (p \u00d7 q).<\/p>\n\n\n\n

SBI PO prelims free mock test 2023<\/a><\/p>\n\n\n\n

Probability Practice Questions<\/h3>\n\n\n\n

Question 1:<\/strong> A bag contains red, blue and green balls in the ratio of 2:4:5 respectively. Two balls are randomly drawn from the bag and the probability that both the balls drawn are blue in colour is 1\/8. Find the total number of balls in the bag.<\/p>\n\n\n\n

A) 22<\/p>\n\n\n\n

B) 33<\/p>\n\n\n\n

C) 44<\/p>\n\n\n\n

D) 55<\/p>\n\n\n\n

E) 88<\/p>\n\n\n\n

Question 2:<\/strong> A bag contains 5 grey, 4 blue and 3 red balls. A man draws three balls randomly. What would be the probability that all balls are of different colours?<\/p>\n\n\n\n

A) 4\/45<\/p>\n\n\n\n

B) 12\/19<\/p>\n\n\n\n

C) 3\/47<\/p>\n\n\n\n

D) 3\/11<\/p>\n\n\n\n

E) 9\/22<\/p>\n\n\n\n

Question 3:<\/strong> A fruit seller has three types of mangoes in his bucket viz. Dasheri, Langra and Chaunsa. The probability of selling one Dasheri mango is 3\/8, while the probability of selling one Langra mango is 2\/7. If he has total 38 Chaunsa mangoes, then what is the total number of mangoes in his bucket?<\/p>\n\n\n\n

A) 56<\/p>\n\n\n\n

B) 72<\/p>\n\n\n\n

C) 96<\/p>\n\n\n\n

D) 112<\/p>\n\n\n\n

E) 124<\/p>\n\n\n\n

SBI PO prelims free mock test 2023<\/a><\/p>\n\n\n\n

Question 4:<\/strong> A bag contains (x + 3) red, \u2018x\u2019 green and (x + 1) blue balls. The probability of getting two blue balls from the bag is 1\/12. If three balls are selected from the bag at random, then find the probability that all the balls are of different colour.<\/p>\n\n\n\n

A) 1\/4<\/p>\n\n\n\n

B) 3\/4<\/p>\n\n\n\n

C) 1\/2<\/p>\n\n\n\n

D) 1\/8<\/p>\n\n\n\n

E) None of these<\/p>\n\n\n\n

Question 5:<\/strong> A box contains 5 red, 3 green and 4 black balls. Four balls are taken out from the box at random, what is the probability of getting exactly two red, 1 green and 1 black ball?<\/p>\n\n\n\n

A) 8\/33<\/p>\n\n\n\n

B) 5\/13<\/p>\n\n\n\n

C) 11\/31<\/p>\n\n\n\n

D) 7\/39<\/p>\n\n\n\n

E) None of these<\/p>\n\n\n\n

Question 6:<\/strong> There are cubes of three colours red, blue and white in a bag. The probability of picking a white cube from the bag is 1\/3. If the number of red cubes is 50% less than the number of blue cubes then find the probability of picking a red cube at random.<\/p>\n\n\n\n

A) 2\/7<\/p>\n\n\n\n

B) 3\/5<\/p>\n\n\n\n

C) 1\/4<\/p>\n\n\n\n

D) 2\/9<\/p>\n\n\n\n

E) Cannot be determined<\/p>\n\n\n\n

SBI PO prelims free mock test 2023<\/a><\/p>\n\n\n\n

Question 7:<\/strong> A bag contains 2 green, 4 orange and some red balls. If two balls are selected from the bag at random then the probability of getting an orange and a red ball is 4\/11. Find the total number of balls in the bag.<\/p>\n\n\n\n

A) 12<\/p>\n\n\n\n

B) 11<\/p>\n\n\n\n

C) 13<\/p>\n\n\n\n

D) 10<\/p>\n\n\n\n

E) Cannot be determined<\/p>\n\n\n\n

Question 8:<\/strong> A box has 4 red, 8 blue and 5 black balls. If three balls are to be picked, then find the probability that all the three balls are of the same colour.<\/p>\n\n\n\n

A) 4\/67<\/p>\n\n\n\n

B) 11\/69<\/p>\n\n\n\n

C) 9\/71<\/p>\n\n\n\n

D) 7\/68<\/p>\n\n\n\n

E) None of these<\/p>\n\n\n\n

Question 9:<\/strong> The probability of picking a red ball out of balls of three different colours in a bag i.e. blue, black and red is 6\/13. The number of black balls is 25% less than that of the blue balls. If the number of red balls in the bag is 24, then find the number of blue balls.<\/p>\n\n\n\n

A) 18<\/p>\n\n\n\n

B) 15<\/p>\n\n\n\n

C) 16<\/p>\n\n\n\n

D) 12<\/p>\n\n\n\n

E) 20<\/p>\n\n\n\n

Question 10:<\/strong> A bag contains 3 blue, 4 black, and 2 yellow balls. A person draws 2 balls at random from the bag. What will be the probability that both ball are of different colours?<\/p>\n\n\n\n

A) 13\/18<\/p>\n\n\n\n

B) 7\/19<\/p>\n\n\n\n

C) 16\/21<\/p>\n\n\n\n

D) 9\/16<\/p>\n\n\n\n

E) 11\/21<\/p>\n\n\n\n

\u092a\u094d\u0930\u0936\u094d\u0928 1:<\/strong> \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 2:4:5 \u0939\u0948 | \u092c\u0948\u0917 \u092e\u0947\u0902 \u0938\u0947 \u0915\u094b\u0908 \u092d\u0940 \u0926\u094b balls \u0928\u093f\u0915\u093e\u0932\u0940 \u0917\u092f\u0940 \u0914\u0930 \u0926\u094b\u0928\u094b\u0902 balls \u0915\u0947 blue colour \u0915\u0947 \u0939\u094b\u0928\u0947 \u0915\u0940 \u0938\u092e\u094d\u092d\u093e\u0935\u0928\u093e 1\/8 \u0939\u0948 | bag \u092e\u0947\u0902 \u0915\u0941\u0932 balls \u0915\u0940 \u0938\u0902\u0916\u094d\u092f\u093e \u091c\u094d\u091e\u093e\u0924 \u0915\u0930\u0947\u0902 ?<\/p>\n\n\n\n

A) 22<\/p>\n\n\n\n

B) 33<\/p>\n\n\n\n

C) 44<\/p>\n\n\n\n

D) 55<\/p>\n\n\n\n

E) 88<\/p>\n\n\n\n

SBI PO prelims free mock test 2023<\/a><\/p>\n\n\n\n

\u092a\u094d\u0930\u0936\u094d\u0928 2:<\/strong> \u090f\u0915 \u092c\u0948\u0917 \u092e\u0947\u0902 5 grey, 4 blue \u0914\u0930 3 red balls \u0939\u0948, \u090f\u0915 \u0935\u094d\u092f\u0915\u094d\u0924\u093f \u0915\u094b\u0908 \u092d\u0940 \u0924\u0940\u0928 balls \u0928\u093f\u0915\u093e\u0932\u0924\u093e \u0939\u0948, \u0924\u094b \u0938\u092d\u0940 balls \u0915\u0947 \u0905\u0932\u0917 \u0905\u0932\u0917 \u0930\u0902\u0917 \u0915\u0947 \u0939\u094b\u0928\u0947 \u0915\u0940 \u092a\u094d\u0930\u093e\u092f\u093f\u0915\u0924\u093e \u0915\u093f\u0924\u0928\u0940 \u0939\u094b \u0938\u0915\u0924\u0940 \u0939\u0948 ?<\/p>\n\n\n\n

A) 4\/45<\/p>\n\n\n\n

B) 12\/19<\/p>\n\n\n\n

C) 3\/47<\/p>\n\n\n\n

D) 3\/11<\/p>\n\n\n\n

E) 9\/22<\/p>\n\n\n\n

\u092a\u094d\u0930\u0936\u094d\u0928 3:<\/strong> \u090f\u0915 \u092b\u0932 \u0935\u093f\u0915\u094d\u0930\u0947\u0924\u093e \u0915\u0947 \u092a\u093e\u0938 \u0905\u092a\u0928\u0940 \u092c\u093e\u0932\u094d\u091f\u0940 \u092e\u0947\u0902 \u0924\u0940\u0928 \u092a\u094d\u0930\u0915\u093e\u0930 \u0915\u0947 mangoes \u0939\u0948\u0902 \u091c\u094b \u0915\u093f Dasheri, Langra \u0914\u0930 Chaunsa \u0939\u0948\u0902\u0964 \u090f\u0915 Dasheri mango \u0915\u094b \u092c\u0947\u091a\u0928\u0947 \u0915\u0940 \u092a\u094d\u0930\u093e\u092f\u093f\u0915\u0924\u093e 3\/8 \u0939\u0948, \u091c\u092c\u0915\u093f \u090f\u0915 Langra mango \u0915\u094b \u092c\u0947\u091a\u0928\u0947 \u0915\u0940 \u092a\u094d\u0930\u093e\u092f\u093f\u0915\u0924\u093e 2\/7 \u0939\u0948\u0964 \u092f\u0926\u093f \u0909\u0938\u0915\u0947 \u092a\u093e\u0938 \u0915\u0941\u0932 38 Chaunsa mangoes \u0939\u0948\u0902, \u0924\u094b \u0909\u0938\u0915\u0940 \u092c\u093e\u0932\u094d\u091f\u0940 \u092e\u0947\u0902 mangoes \u0915\u0940 \u0915\u0941\u0932 \u0938\u0902\u0916\u094d\u092f\u093e \u0915\u093f\u0924\u0928\u0940 \u0939\u0948?<\/p>\n\n\n\n

A) 56<\/p>\n\n\n\n

B) 72<\/p>\n\n\n\n

C) 96<\/p>\n\n\n\n

D) 112<\/p>\n\n\n\n

E) 124<\/p>\n\n\n\n

\u092a\u094d\u0930\u0936\u094d\u0928 4:<\/strong> \u090f\u0915 \u092c\u0948\u0917 \u092e\u0947\u0902 ((x + 3) red, \u2018x\u2019 green and (x + 1) blue balls \u0939\u0948\u0902\u0964 \u092c\u0948\u0917 \u0938\u0947 \u0926\u094b blue balls \u092a\u094d\u0930\u093e\u092a\u094d\u0924 \u0915\u0930\u0928\u0947 \u0915\u0940 \u092a\u094d\u0930\u093e\u092f\u093f\u0915\u0924\u093e 1\/12 \u0939\u0948\u0964 \u092f\u0926\u093f \u0924\u0940\u0928 balls \u0915\u094b \u092c\u0948\u0917 \u0938\u0947 \u092f\u093e\u0926\u0943\u091a\u094d\u091b\u093f\u0915 \u0930\u0942\u092a \u0938\u0947 \u091a\u0941\u0928\u093e \u091c\u093e\u0924\u093e \u0939\u0948, \u0924\u094b \u0938\u092d\u0940 balls \u0915\u0947 \u0905\u0932\u0917-\u0905\u0932\u0917 \u0930\u0902\u0917 \u0915\u0947 \u0939\u094b\u0928\u0947 \u0915\u0940 \u092a\u094d\u0930\u093e\u092f\u093f\u0915\u0924\u093e \u091c\u094d\u091e\u093e\u0924 \u0915\u0930\u0947\u0902|<\/p>\n\n\n\n

A) 1\/4<\/p>\n\n\n\n

B) 3\/4<\/p>\n\n\n\n

C) 1\/2<\/p>\n\n\n\n

D) 1\/8<\/p>\n\n\n\n

E) \u0907\u0928\u092e\u0947\u0902 \u0938\u0947 \u0915\u094b\u0908 \u0928\u0939\u0940\u0902<\/p>\n\n\n\n

\u092a\u094d\u0930\u0936\u094d\u0928 5:<\/strong> \u090f\u0915 box \u092e\u0947\u0902 5 red, 3 green \u0914\u0930 4 black balls \u0939\u094b\u0924\u0947 \u0939\u0948\u0902\u0964 box \u092e\u0947\u0902 \u092f\u093e\u0926\u0943\u091a\u094d\u091b\u093f\u0915 \u0930\u0942\u092a \u0938\u0947 \u091a\u093e\u0930 balls \u0928\u093f\u0915\u093e\u0932\u0940 \u091c\u093e\u0924\u0940 \u0939\u0948\u0902, \u0926\u094b red, 1 green \u0914\u0930 1 black ball \u0939\u094b\u0928\u0947 \u0915\u0940 \u092a\u094d\u0930\u093e\u092f\u093f\u0915\u0924\u093e \u091c\u094d\u091e\u093e\u0924 \u0915\u0930\u0947\u0902?<\/p>\n\n\n\n

A) 8\/33<\/p>\n\n\n\n

B) 5\/13<\/p>\n\n\n\n

C) 11\/31<\/p>\n\n\n\n

D) 7\/39<\/p>\n\n\n\n

E) \u0907\u0928\u092e\u0947\u0902 \u0938\u0947 \u0915\u094b\u0908 \u0928\u0939\u0940\u0902<\/p>\n\n\n\n

SBI PO prelims free mock test 2023<\/a><\/p>\n\n\n\n

\u092a\u094d\u0930\u0936\u094d\u0928 6:<\/strong> \u090f\u0915 \u092c\u0948\u0917 \u092e\u0947\u0902 \u0924\u0940\u0928 \u0930\u0902\u0917 \u0915\u0947 \u0918\u0928 \u0939\u0948 \u0905\u0930\u094d\u0925\u093e\u0924 red, blue \u0914\u0930 white\u0964\u092c\u0948\u0917 \u0938\u0947 \u090f\u0915 white \u0918\u0928 \u091a\u0941\u0928\u0928\u0947 \u0915\u0940 \u092a\u094d\u0930\u093e\u092f\u093f\u0915\u0924\u093e 1\/3 \u0939\u0948\u0964\u092f\u0926\u093f red \u0918\u0928 \u0915\u0940 \u0938\u0902\u0916\u094d\u092f\u093e blue \u0918\u0928 \u0915\u0940 \u0938\u0902\u0916\u094d\u092f\u093e \u0938\u0947 50% \u0915\u092e \u0939\u0948 \u0924\u094b \u092f\u093e\u0926\u0943\u091a\u094d\u091b\u093f\u0915 \u0930\u0942\u092a \u0938\u0947 \u090f\u0915 red \u0918\u0928 \u091a\u0941\u0928\u0928\u0947 \u0915\u0940 \u092a\u094d\u0930\u093e\u092f\u093f\u0915\u0924\u093e \u091c\u094d\u091e\u093e\u0924 \u0915\u0930\u0947\u0902?<\/p>\n\n\n\n

A) 2\/7<\/p>\n\n\n\n

B) 3\/5<\/p>\n\n\n\n

C) 1\/4<\/p>\n\n\n\n

D) 2\/9<\/p>\n\n\n\n

E) \u0928\u093f\u0930\u094d\u0927\u093e\u0930\u093f\u0924 \u0928\u0939\u0940\u0902 \u0915\u093f\u092f\u093e \u091c\u093e \u0938\u0915\u0924\u093e<\/p>\n\n\n\n

\u092a\u094d\u0930\u0936\u094d\u0928 7:<\/strong> \u090f\u0915 \u092c\u0948\u0917 \u092e\u0947\u0902 2 green, 4 orange \u0914\u0930 \u0915\u0941\u091b red balls \u0939\u094b\u0924\u0940 \u0939\u0948\u0902\u0964 \u092f\u0926\u093f \u0926\u094b balls \u0915\u094b \u092c\u0948\u0917 \u0938\u0947 \u092f\u093e\u0926\u0943\u091a\u094d\u091b\u093f\u0915 \u0930\u0942\u092a \u0938\u0947 \u091a\u0941\u0928\u093e \u091c\u093e\u0924\u093e \u0939\u0948 \u0924\u094b orange and \u090f\u0915 red ball \u092a\u094d\u0930\u093e\u092a\u094d\u0924 \u0915\u0930\u0928\u0947 \u0915\u0940 \u092a\u094d\u0930\u093e\u092f\u093f\u0915\u0924\u093e 4\/11 \u0939\u0948\u0964 \u092c\u0948\u0917 \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

A) 12<\/p>\n\n\n\n

B) 11<\/p>\n\n\n\n

C) 13<\/p>\n\n\n\n

D) 10<\/p>\n\n\n\n

E) \u0928\u093f\u0930\u094d\u0927\u093e\u0930\u093f\u0924 \u0928\u0939\u0940\u0902 \u0915\u093f\u092f\u093e \u091c\u093e \u0938\u0915\u0924\u093e<\/p>\n\n\n\n

\u092a\u094d\u0930\u0936\u094d\u0928 8:<\/strong> \u090f\u0915 box \u092e\u0947\u0902 4 red, 8 blue \u0914\u0930 5 black balls \u0939\u0948\u0902\u0964\u092f\u0926\u093f \u0924\u0940\u0928 balls \u0915\u093e \u091a\u092f\u0928 \u0915\u093f\u092f\u093e \u091c\u093e\u0928\u093e \u0939\u0948 \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 \u0924\u0940\u0928\u094b\u0902 balls \u0938\u092e\u093e\u0928 colour \u0915\u0940 \u0939\u0948\u0902\u0964<\/p>\n\n\n\n

A) 4\/67<\/p>\n\n\n\n

B) 11\/69<\/p>\n\n\n\n

C) 9\/71<\/p>\n\n\n\n

D) 7\/68<\/p>\n\n\n\n

E) \u0907\u0928\u092e\u0947\u0902 \u0938\u0947 \u0915\u094b\u0908 \u0928\u0939\u0940\u0902<\/p>\n\n\n\n

\u092a\u094d\u0930\u0936\u094d\u0928 9:<\/strong> \u090f\u0915 bag \u092e\u0947\u0902 \u0924\u0940\u0928 \u0930\u0902\u0917 \u0915\u0947 balls \u0939\u0948\u0902 \u0905\u0930\u094d\u0925\u093e\u0924 blue, black \u0914\u0930 red \u0914\u0930 bag \u092e\u0947\u0902 \u0938\u0947 \u090f\u0915 red ball \u0915\u094b \u091a\u0941\u0928\u0928\u0947 \u0915\u0940 \u092a\u094d\u0930\u093e\u092f\u093f\u0915\u0924\u093e 6\/13 \u0939\u0948|Black balls \u0915\u0940 \u0938\u0902\u0916\u094d\u092f\u093e blue balls \u0915\u0940 \u0938\u0902\u0916\u094d\u092f\u093e \u0938\u0947 25% \u0915\u092e \u0939\u0948|\u092f\u0926\u093f bag \u092e\u0947\u0902 red balls \u0915\u0940 \u0938\u0902\u0916\u094d\u092f\u093e 24 \u0939\u0948, \u0924\u094b blue balls \u0915\u0940 \u0938\u0902\u0916\u094d\u092f\u093e \u091c\u094d\u091e\u093e\u0924 \u0915\u0930\u0947\u0902|<\/p>\n\n\n\n

A) 18<\/p>\n\n\n\n

B) 15<\/p>\n\n\n\n

C) 16<\/p>\n\n\n\n

D) 12<\/p>\n\n\n\n

E) 20<\/p>\n\n\n\n

SBI PO prelims free mock test 2023<\/a><\/p>\n\n\n\n

\u092a\u094d\u0930\u0936\u094d\u0928 10:<\/strong> \u090f\u0915 \u092c\u0948\u0917 \u092e\u0947\u0902 3 blue, 4 black, \u0914\u0930 2 yellow balls \u0939\u094b\u0924\u0947 \u0939\u0948\u0902\u0964 \u090f\u0915 \u0935\u094d\u092f\u0915\u094d\u0924\u093f \u092c\u0948\u0917 \u0938\u0947 \u092f\u093e\u0926\u0943\u091a\u094d\u091b\u093f\u0915 \u0930\u0942\u092a \u0938\u0947 2 balls \u0928\u093f\u0915\u093e\u0932\u0924\u093e \u0939\u0948\u0964 \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 \u0926\u094b\u0928\u094b\u0902 ball \u0905\u0932\u0917-\u0905\u0932\u0917 \u0930\u0902\u0917 \u0915\u0940 \u0939\u0948\u0902?<\/p>\n\n\n\n

A) 13\/18<\/p>\n\n\n\n

B) 7\/19<\/p>\n\n\n\n

C) 16\/21<\/p>\n\n\n\n

D) 9\/16<\/p>\n\n\n\n

E) 11\/21<\/p>\n\n\n\n

SBI PO prelims free mock test 2023<\/a><\/p>\n\n\n\n

ANSWER KEYS and SOLUTIONS:<\/strong><\/h4>\n\n\n\n
1) – B)<\/td>2) – D)<\/td>3) – D)<\/td>4) – A)<\/td>5) – A)<\/td>6) – D)<\/td><\/tr>
7) – E)<\/td>8) – D)<\/td>9) – C)<\/td>10) – A)<\/td> <\/td> <\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n

Solution 1: B)<\/strong><\/p>\n\n\n\n

Let the number of red, blue and green balls in the bag are 2x, 4x and 5x respectively.<\/p>\n\n\n\n

Total number of balls in the bag = 2x + 4x + 5x = 11x<\/p>\n\n\n\n

So according to question: 4x<\/sup>C2<\/sub>\/11x<\/sup>C2<\/sub> = 1\/8<\/p>\n\n\n\n

4x (4x \u2013 1)\/ 11x (11x \u2013 1) = 1\/8<\/p>\n\n\n\n

(16x \u2013 4)\/ (121x \u2013 11) = 1\/8<\/p>\n\n\n\n

128x \u2013 32 = 121x \u2013 11<\/p>\n\n\n\n

7x = 21, x = 3<\/p>\n\n\n\n

So the total number of balls in the bag = 33<\/p>\n\n\n\n

Hence, option b.<\/p>\n\n\n\n

Solution 2: D)<\/strong><\/p>\n\n\n\n

Total number of ways of drawing 3 balls = 12<\/sup>C3<\/sub> = 220<\/p>\n\n\n\n

Total number of ways drawing balls of different colour = 5<\/sup>C1<\/sub>\u00d74<\/sup>C1<\/sub>\u00d73<\/sup>C1<\/sub> = 60<\/p>\n\n\n\n

Therefore, probability of drawing different colour = 60\/220 = 3\/11<\/p>\n\n\n\n

Hence, option d.<\/p>\n\n\n\n

Solution 3: D)<\/strong><\/p>\n\n\n\n

Probability of selling a Chaunsa mango = 1 \u2013 (3\/8 + 2\/7) = 1 \u2013 (21 + 16)\/56 = (56 \u2013 37)\/56 = 19\/56<\/p>\n\n\n\n

Therefore, total number of mangoes in his bucket = 38 \u00d7 (56\/19) = 112<\/p>\n\n\n\n

Hence, option d.<\/p>\n\n\n\n

Solution 4: A)<\/strong><\/p>\n\n\n\n

Total number of balls in the bag = x + 3 + x + x + 1 = 3x + 4<\/p>\n\n\n\n

According to question;<\/p>\n\n\n\n

(x + 1)<\/sup>C2<\/sub>\/(3x + 4)<\/sup>C2<\/sub> = 1\/12<\/p>\n\n\n\n

{(x + 1) \u00d7 x}\/{(3x + 4)(3x + 3)} = 1\/12<\/p>\n\n\n\n

Or, {(x + 1) \u00d7 x}\/{3(3x + 4)(x + 1)} = 1\/12<\/p>\n\n\n\n

Or, 4x = 3x + 4<\/p>\n\n\n\n

So, x = 4<\/p>\n\n\n\n

Number of red balls in the bag = x + 3 = 7<\/p>\n\n\n\n

Number of green balls in the bag = x = 4<\/p>\n\n\n\n

Number of blue balls in the bag = x + 1 = 4 + 1 = 5<\/p>\n\n\n\n

Total number of balls in the bag = 3x + 4 = 16<\/p>\n\n\n\n

Desired probability = (7<\/sup>C1<\/sub> \u00d7 4<\/sup>C1<\/sub> \u00d7 5<\/sup>C1<\/sub>)\/ 16<\/sup>C3<\/sub> = (7 \u00d7 4 \u00d7 5 \u00d7 3 \u00d7 2)\/(16 \u00d7 15 \u00d7 14) = 1\/4<\/p>\n\n\n\n

Hence, option a.<\/p>\n\n\n\n

SBI PO prelims free mock test 2023<\/a><\/p>\n\n\n\n

Solution 5: A)<\/strong><\/p>\n\n\n\n

Total number of balls = 5 + 3 + 4 = 12<\/p>\n\n\n\n

Desired probability = (5<\/sup>C2 <\/sub>\u00d7 3<\/sup>C1<\/sub> \u00d7 4<\/sup>C1<\/sub>)\/12<\/sup>C4 <\/sub>= 8\/33<\/p>\n\n\n\n

Hence, option a.<\/p>\n\n\n\n

Solution 6: D)<\/strong><\/p>\n\n\n\n

Let total number of cubes be 3x<\/p>\n\n\n\n

Therefore, number of white cubes = x<\/p>\n\n\n\n

Number of red and blue cubes = 3x \u2013 x = 2x<\/p>\n\n\n\n

Number of red cubes = 2x\/1.5 \u00d7 1\/2 = 2x\/3<\/p>\n\n\n\n

Required probability = (2x\/3)\/3x = 2\/9<\/p>\n\n\n\n

Hence, option d.<\/p>\n\n\n\n

Solution 7: E)<\/strong><\/p>\n\n\n\n

Let the number of red balls in the bag is \u2018x\u2019<\/p>\n\n\n\n

Total number of balls in the bag = (x + 6)<\/p>\n\n\n\n

According to question;<\/p>\n\n\n\n

(x<\/sup>C1 <\/sub>\u00d7 4<\/sup>C1<\/sub>)\/ (x + 6)<\/sup>C2<\/sub> = 4\/11<\/p>\n\n\n\n

8x\/(x + 6)(x + 5) = 4\/11<\/p>\n\n\n\n

22x = x2<\/sup> + 11x + 30<\/p>\n\n\n\n

x2<\/sup> \u2013 11x + 30 = 0<\/p>\n\n\n\n

x2<\/sup> \u2013 6x \u2013 5x + 30 = 0<\/p>\n\n\n\n

x(x \u2013 6) \u2013 5(x \u2013 6) = 0<\/p>\n\n\n\n

(x \u2013 5)(x \u2013 6) = 0<\/p>\n\n\n\n

x = 5 or x = 6<\/p>\n\n\n\n

So, total number of balls in the bag can be 11 or 12<\/p>\n\n\n\n

Hence, option e.<\/p>\n\n\n\n

SBI PO prelims free mock test 2023<\/a><\/p>\n\n\n\n

Solution 8: D)<\/strong><\/p>\n\n\n\n

Required probability = (4<\/sup>C3 <\/sub>+ 8<\/sup>C3 <\/sub>+ 5<\/sup>C3<\/sub>) \u00f7 17<\/sup>C3<\/sub><\/p>\n\n\n\n

= (4 + 56 + 10)\/680 = 7\/68<\/p>\n\n\n\n

Hence, option d.<\/p>\n\n\n\n

Solution 9: C)<\/strong><\/p>\n\n\n\n

Let the total number of balls be 13x<\/p>\n\n\n\n

Therefore, number of red balls 6x<\/p>\n\n\n\n

Or, 6x = 24<\/p>\n\n\n\n

Or, x = 4<\/p>\n\n\n\n

Therefore, number of blue and black balls = 13x \u2013 6x = 7x = 28<\/p>\n\n\n\n

Number of blue balls = 28\/1.75 = 16<\/p>\n\n\n\n

Number of black balls = 0.75 \u00d7 16 = 12<\/p>\n\n\n\n

Hence, option c.<\/p>\n\n\n\n

Solution 10: A)<\/strong><\/p>\n\n\n\n

Required probability = {(3<\/sup>C1<\/sub> \u00d7 4<\/sup>C1<\/sub>) + (4<\/sup>C1<\/sub> \u00d7 2<\/sup>C1<\/sub>) + (3<\/sup>C1<\/sub> \u00d7 2<\/sup>C1<\/sub>)}\/9<\/sup>C2<\/sub> = (12 + 8 + 6)\/36 = 13\/18<\/p>\n\n\n\n

Hence, option a.<\/p>\n\n\n\n

SBI PO prelims free mock test 2023<\/a><\/p>\n\n\n\n

This brings us to the end of Probability Tips & Practice Questions for SBI PO Prelims. Its time to speed up your preparation\/revision for the upcoming SBI PO prelims examination. <\/p>\n","protected":false},"excerpt":{"rendered":"

Here are some Probability Tips & Practice Questions for SBI PO Prelims. Take SBI PO prelims free mock test & know your AIR<\/p>\n","protected":false},"author":2,"featured_media":65633,"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":[49],"tags":[],"class_list":["post-65568","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-sbi-po"],"yoast_head":"\nProbability Tips & Practice Questions for SBI PO Prelims - Practicemock<\/title>\n<meta name=\"description\" content=\"Here are some Probability Tips & Practice Questions for SBI PO Prelims. 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