Question

1500 families with 2 children were selected randomly, and the following data were recorded.

$$\begin{array}{cccc}\text{Number of girls in a family}& 2& 1& 0\\ \text{Number of families}& 300& 500& 700\end{array}$$

Compute the probability of a family chosen at random having 2 girls.

• A. 1/5
• B. 1/3
• C. 7/15
• D. 8/15

Answer 1

The correct option is A

1/5

The total number of families = 300+500+700 = 1500

The families which have two girls = 300

P (Number of families having two girls) $=\frac{300}{1500}$ $=\frac{1}{5}$