Assume that each born child is equally likely to be a boy or a girl. If a family has two children, what is the conditional probability that both are girls? Given that (i) the youngest is a girl (ii) at least one is girl.
Assume that each born child is equally likely to be a boy or a girl. If a family has two children, what is the conditional probability that both are girls? Given that (i) the youngest is a girl (ii) at least one is girl.

As per the given question,

(i) Let $’A’$ be the event that both the children born are girls.

Let $’B’$ be the event that the youngest is a girl.

We have to find conditional probability $P(A/B).$

(ii) Let $’A’$ be the event that both the children born are girls.

Let $’B’$ be the event that at least one is a girl.

We have to find the conditional probability $P(A/B).$