Probability - Aptitude (CBSE) MCQ Questions and Solutions

11 .Two cards are drawn together from a pack of 52 cards. The probability that one is a spade and one is a heart, is.

• 14/33
• 13/200
• 13/102
• 16/50

Answer - [ 13/102 ]

12 . A committee of 3 members is to be selected out of 3 men and 2 women. What is the probability that the committee has at least 1 woman ?

• 3/10
• 2/10
• 5/10
• 9/10

Answer - [ 9/10 ]

13 . A speaks truth in 75% cases and B in 80% of the cases. In what percentage of cases are they likely to contradict each other, in narrating the same incident ?

• 56 %
• 67 %
• 35 %
• 24 %

Answer - [ 35 % ]

14 . A basket contains 4 red, 5 blue and 3 green marbles. If 2 marbles are drawn at random from the basket, What is the probability that both are red ?

• 1/22
• 1/11
• 2/44
• 2/99

Answer - [ 1/11 ]

15 . In a lottery, there are 10 prizes and 25 blanks. A lottery is drawn at random. What is the probability of getting a prize ?

• 5/7
• 2/6
• 2/7
• 5/8

Answer - [ 2/7 ]

16 . An urn contains 6 red, 4 blue, 2 green and 3 yellow marbles. If three marbles are picked up at random, what is the probability that 2 are blue and 1 is yellow ?

• 23/111
• 18/455
• 16/133
• 2/93

Answer - [ 18/455 ]

17 . Four persons are chosen at random from a group of 3 men, 2 women and 4 children. The chance that exactly 2 of them are children, is:

• 12/21
• 10/21
• 10/45
• 13/19

Answer - [ 10/21 ]

18 . A basket contains 6 blue, 2 red, 4 green, and 3 yellow balls. If three balls are picked up at random, what is the probability that none is yellow?

• 57/98
• 57/9
• 44/91
• 1/2

Answer - [ 44/91 ]

19 .The probability that a card drawn from a pack of 52 cards will be a diamond or a king is:

• 4/84
• 4/13
• 2/14
• 12/23

Answer - [ 4/13 ]

20 . What is the probability of getting a sum 9 from two throws of a dice ?

• 1/2
• 1/10
• 1/9
• 1/5

Answer - [ 1/9 ]

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