Question

It is given that a family of $2$ children has a girl, what is the probability that the other child is also a girl?

• A. $0.50$
• B. $0.75$
• C. $\frac{1}{3}$
• D. $0.2$

Answer 1

The correct option is C $\frac{1}{3}$

Given: Family of$2$ children with one being a girl.

To find: the probability that the other child is also a girl

Sol: All the possible outcomes for the combination are $BG,GB,GG$, $n\left(S\right)=3$

Only one favourable outcome for both children to be a girl

Hence the probability that the other child is also a girl is

$=\frac{1}{3}$