Question

A committee of 2 persons is selected from 3 men and 2 women. What is the probability that the committee will have one man

Answer 1

Answer:

2 / 3

Step-by-step explanation:

A committee of two persons can be formed from two men and two women in

$4_{C}__{2}$ = 6 ways

Number of committees having one man =  $2_{C}__{1}$ × $2_{C}__{1}$ = = 4

∴ Probability that the committees will have one man = $\frac{4}{6}$ = $\frac{2}{3}$