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Question
Solve the following:
A family has two children. One of them is chosen at random and found that the child is a girl. Find the probability that both the children are girls given that at least one of them is a girl
Solution
If the family has two children
the sample space S = {GG, GB, BG, BB}
∴ n(S) = 4
It is given that at least one of them is a girl so that sample space reduces to A = {GG, GB, BG} for which n(A) = 3
Out of these three cases, there is one favourable case GG when both the children are girls.
∴ the required probability = `1/3`
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