# Probability – Aptitude MCQ Questions – 11

Question 1
10 books are placed at random in a shelf. The probability that a pair of books will always be together is -

 Â Â Â  A. 1/10 Â Â Â  B. 9/10 Â Â Â  C. 1/5 Â Â Â  D. 3/10

Question 2
If a number is chosen at random from the set {1, 2, 3, ......., 100}, then the probability that the chosen number is a perfect cube is -

 Â Â Â  A. 1/25 Â Â Â  B. 1/2 Â Â Â  C. 4/13 Â Â Â  D. 1/10

Question 3
A bag contains 7 green and 8 white balls. If two balls are drawn simultaneously, the probability that both are of the same colour is -

 Â Â Â  A. 8/15 Â Â Â  B. 2/5 Â Â Â  C. 3/5 Â Â Â  D. 7/15

Question 4
What is the probability that a leap year has 53 Sundays and 52 Mondays?

 Â Â Â  A. 1/7 Â Â Â  B. 2/7 Â Â Â  C. 5/7 Â Â Â  D. 6/7

Question 5
A box contains 3 blue marbles, 4 red, 6 green marbles and 2 yellow marbles. If three marbles are picked at random, what is the probability that they are all blue?

 Â Â Â  A. 1/455 Â Â Â  B. 2/455 Â Â Â  C. 1/91 Â Â Â  D. 4/455

Question 6
A coin is tossed live times. What is the probability that there is at the least one tail?

 Â Â Â  A. 31/32 Â Â Â  B. 1/16 Â Â Â  C. 1/2 Â Â Â  D. 1/32

Question 7
In a party there are 5 couples. Out of them 5 people are chosen at random. Find the probability that there are at the least two couples?

 Â Â Â  A. 5/21 Â Â Â  B. 5/14 Â Â Â  C. 9/14 Â Â Â  D. 16/21

Question 8
A box contains 3 blue marbles, 4 red, 6 green marbles and 2 yellow marbles. If three marbles are drawn what is the probability that one is yellow and two are red?

 Â Â Â  A. 24/455 Â Â Â  B. 3/91 Â Â Â  C. 12/455 Â Â Â  D. 15/91

Question 9
A box contains 3 blue marbles, 4 red, 6 green marbles and 2 yellow marbles. If two marbles are picked at random, what is the probability that they are either blue or yellow?

 Â Â Â  A. 3/22 Â Â Â  B. 4/21 Â Â Â  C. 2/21 Â Â Â  D. 1/14

Question 10
From a pack of cards two cards are drawn one after the other, with replacement. The probability that the first is a red card and the second is a king is -

 Â Â Â  A. 1/26 Â Â Â  B. 3/52 Â Â Â  C. 15/26 Â Â Â  D. 11/26