A certain couple tells you that they have two children, at least one of which is a girl. What is the probability that they have two girls?

Category: QuestionsA certain couple tells you that they have two children, at least one of which is a girl. What is the probability that they have two girls?
1 Answers
Editor">Editor Staff answered 2 years ago

In the case of two children, there are 4 equally likely possibilities
BB, BG, GB and GG;
where B = Boy and G = Girl and the first letter denotes the first child.
From the question, we can exclude the first case of BB. Thus from the remaining 3 possibilities of BG, GB & BB, we have to find the probability of the case with two girls.
Thus, P(Having two girls given one girl) = 1 / 3