Probability Questions for IBPS RRB PO and Clerk Exam 2017

Dear Students,

Direction (1-3) – There is three bags A, B and C. In each bag there are three types of colored balls Yellow, Green and Black.

In bag A, no. of yellow colored balls are y and no. of green colored balls are g. Number of green colored balls are 4 more than the number of yellow colored balls. When one ball is picked at random then the probability of getting black color ball is 5/13. The value of y is 18 2/11% less then g.

In bag B, number of yellow colored balls is 200/9% more than that of bag A. If two balls are picked at random from bag B then the probability of getting both green color ball is 4/37. Total number of balls in bag B is 75. 

In bag C, the ratio of number of green colored balls and number of black colored balls is 7 : 5. Total number of green and black colored balls is 36. If one ball is picked at random then the probability of getting one yellow ball is 7/13.

Q1. If x number of yellow balls from bag B are taken and placed into bag A and 20% of black balls from bag A are taken and placed into in bag B. If we pick one ball from bag B then the probability that the ball is of black color is 11/26. Then find the value of x?

(a) 5

(b) 6

(c) 3

(d) 2

(e) None of these 

Q2. If one ball picked at random from each of the bag A and bag B then find the probability that both of the balls are of the same color? 

(a) 21×47/65×75

(b) 22×43/65×75

(c) 11×17/65×75

(d) Can’t be determined

(e) None of these

Q3. Difference between the number of green balls in bag A and bag C is how much percent more/less than the sum of the number of black balls in bag A and bag C together? 

(a) 100%

(b) 95%

(c) 97.5%

(d) 102.5%

(e) None of these

Directions (4 – 6): A bag contains 6 red balls and 8 green balls. Two balls are drawn at random one after one with replacement. What is the probability that-

Q4. Both the balls are green

(a) 13/49

(b) 15/49

(c) 16/49

(d) 17/49

(e) None of these

Q5. First one is green and second one is red

(a) 16/49

(b) 14/49

(c) 11/49

(d) 12/49

(e) None of these

Q6. Both the balls are red

(a) 14/49

(b) 9/49

(c) 11/49

(d) 12/49

(e) None of these

Q7. From a pack of 52 cards, 2 cards are drawn at random. What is the probability that either both cards are black card or both are heart card? 

(a) 31/102

(b) 21/73

(c) 1/5

(d) 17/100

(e) 3/10

Q8. Two cards are drawn at random from a pack of 52 cards. What is the probability that either both are black or both are jacks? 

(a) 62/221

(b) 21/312

(c) 5/21

(d) 55/221

(e) None of these

Q9. From a group of 3 men, 4 women and 2 children, 4 people are to be chosen to form a committee. What is the probability that the committee contains at least 1 each of men, women and children? 

(a) 4/15

(b) 12/21

(c) 4/19

(d) 11/31

(e) None of these

Q10. A box contains 25 bulbs out of which 5 are defective. 3 bulbs are to be delivered to a customer. What is the probability that he get one defective bulb? 

(a) 19/46

(b) 25/51

(c) 44/77

(d) 21/46

(e) None of these

Q11. There are 4 red balls, 5 white and 3 green balls in a basket. 3 balls are chosen at random. What is the probability that there is at most 1 green ball? 

(a) 13/40

(b) 48/55

(c) 25/68

(d) 8/33

(e) 9/19

Q12. A bag contains 3 red, 4 green and 3 yellow balls. If 2 balls are drawn at random, what is the probability that they are of different color? 

(a) 9/16

(b) 4/15

(c) 11/15

(d) 5/11

(e) None of these

Q13. There are 4 black balls and 6 white balls. 2 balls are drawn one by one without replacement. What is the probability that the balls are same in color? 

(a) 9/21

(b) 8/17

(c) 5/14

(d) 7/15

(e) 9/19

Q14. A bag contains 5 red balls and 4 green balls. 2 balls are drawn at random. What is the probability that both balls are same in color? 

(a) 5/11

(b) 4/9

(c) 3/13

(d) 6/17

(e) None of these

Q15. A urn contains 4 red balls, 5 green balls and 6 white balls, if one ball is drawn at random, find the probability that it is neither red nor white.

(a) 1/3

(b) 1/4

(c) 1/5

(d) 2/3

(e) None of these