CA Foundation · Quantitative Aptitude · Probability
A committee of 3 members is to be chosen at random from 4 men and 3 women working in a Chennai firm. What is the probability that the committee consists of all women?
The probability is 1/35. There are 7C3 = 35 equally likely committees, and only one of them, 3C3 = 1, consists entirely of the three women, so the probability is 1 divided by 35.
- A1/35Correct
- B3/35
- C1/7
- D4/35
Explanation
Total committees = 7C3 = 35. Committees of all women = 3C3 = 1. Probability = 1/35. The option 1/7 comes from wrongly using 3/21, i.e. treating the count as 7C2 for the total.
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