Question

A committee of two persons is selected from two men and two women. What is the probability that the committee will have  two men?

Answer 1

Total number of people = 2 + 2 = 4
Out of these four people, two can be selected in ⁴C₂  = 6 ways. Two men can be selected in ²C₂ way.
∴ P (two men) = \[\frac{^{2}{}{C}_2}{^{4}{}{C}_2} = \frac{1}{2 \times 3} = \frac{1}{6}\]