CA Foundation · Quantitative Aptitude · Probability
Five cards are drawn at random from a well-shuffled pack of 52 cards. What is the probability that exactly 2 are aces and the other 3 are kings?
The probability is 24/2598960. There are 52C5 = 2598960 equally likely hands. Choosing 2 aces from 4 gives 6 ways and 3 kings from 4 gives 4 ways, so favourable hands number 6 x 4 = 24.
- A24/2598960Correct
- B6/2598960
- C4/2598960
- D36/2598960
Explanation
Total ways = 52C5 = 2598960. Choose 2 of 4 aces = 6 ways and 3 of 4 kings = 4 ways, so favourable = 6 x 4 = 24. Probability = 24/2598960. The option 6/2598960 forgets to multiply by the kings' 4 ways.
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