Probability

Quantitative Aptitude ( CCS)

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From a group of 3 men, 4 women and 2 children, 4 people are to be chosen to form a committee. What is the probability that the committee contains 1 each of men, women and children?

4/15

2/21

4/19

11/31

Explanation:

Answer & Explanation
2/21
Explanation:
Case 1: Prob. when 2 men, 1 woman and 1 child
3C₂*4C₁*2C₁ /9C₄ = 4/21
Case 2: Prob. when 1 man, 2 women and 1 child
3C₁*4C₂*2C1 /9C₄ = 2/7
Case 3: Prob. when 1 man, 1 woman and 2 children
3C₁*4C₁*2C₂ /9C₄ = 2/21

By: Sandeep Dubey

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