Question

There are three boys and two girls. A committee of two is to be formed. Find the probability of events that the committee contains one boy and one girl:

• A. $\frac{1}{5}$
• B. $\frac{2}{5}$
• C. $\frac{3}{5}$
• D. $\frac{4}{5}$

Answer 1

Answer: (C)

$\frac{3}{5}$

Sample space $=(\frac{5}{2})=10$
Committee of $1$ girl & $1$ boy $=(\frac{2}{1})\times (\frac{3}{1})=6$
probability $=\frac{6}{10}=\frac{3}{5}$