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Probability Aptitude Test Paper 3


11) A man tossed two dice. What is the probability that the total score is a prime number?

  1. 5/12
  2. 5/14
  3. 5/20
  4. 5/24

Answer: A

Explanation:

As per the question:
n (S) = 6*6 = 36
And, the event that the sum is a prime number:
E = {(1, 1), (1, 2), (1, 4), (1, 6), (2, 1), (2, 3), (2, 5), (3, 2), (3, 4), (4, 1), (4, 3),
(5, 2), (5, 6), (6, 1), (6, 5)}

So, n (E) = 15

Apti Probability


12) A card is drawn from a pack of 52 cards. What is the probability of getting a king of heart or a queen of club?

  1. 1/22
  2. 1/24
  3. 1/26
  4. 1/28

Answer: C

Explanation:

We have, n (S) = 52
The event of getting a king of heart or a queen of club = 2
So, n (E) = 2
Apti Probability


13) A box contains 4 white, 5 red, and 6 blue balls. If three balls are drawn at random from the box, what is the probability that all of them are blue?

  1. 4/91
  2. 4/81
  3. 4/71
  4. 4/61

Answer: A

Explanation:

As per the question, n(S) = number of ways of drawing 3 balls out of 15
Apti Probability


14) A man draws two cards at random from a pack of 52 cards. What is the probability that one is a spade and the other is a heart?

  1. 13/105
  2. 13/102
  3. 13/110
  4. 13/108

Answer: B

Explanation:

As per the question:
Apti Probability
Similarly, n (E) = number of ways of drawing 1 spade out of 13 and 1 heart out of 13.
= 13C1 * 13C1
= 13*13
= 169
Apti Probability


15) Ram draws one card at random from a pack of 52 cards. What is the probability that the card drawn is a face card (jack, queen and king only)?

  1. 3/13
  2. 3/15
  3. 3/17
  4. 3/19

Answer: A

Explanation:

As per question: n(S) = 52 (as one card is drawn).
There are 12 face cards in a pack of 52 cards.
So, n (E) = 12
Now, the required probability, Apti Probability


Probability Aptitude Test Paper 1
Probability Aptitude Test Paper 2





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