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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 ]