📐 Mathematics · Probability (Class 11) · JEE

A committee of 3 is chosen from 5 men and 4 women. The probability that it has exactly 2 women is:

Answer: 5/14.

Correct answer: D. 5/14

Explanation: Favourable = C(4,2)·C(5,1) = 6 × 5 = 30, total = C(9,3) = 84, so P = 30/84 = 5/14.

Concept context

Random experiments, sample space, events, and the axiomatic approach to probability