2004 · Q117
117. A 2-member committee is to be constituted out of 4 men and 2 women. What is the probability that a committee thus formed will have exactly one woman?
MathematicsProbability
- A1/3
- B1/4
- C7/15
- D8/15
Explanation
The number of 2-member committees from 4 men and 2 women is C(6,2) = 15. Committees with exactly one woman: choose 1 of the 4 men and 1 of the 2 women, C(4,1)×C(2,1) = 8. The probability is 8/15.