A family has two children. What is the probability that both the child – InterviewSolution

1.	A family has two children. What is the probability that both the children are boys given that atleast one of them is a boy ?
Answer» Let `B` represents a boy and `G` represents a girl. Then, Sample space `(S) = {(B,B),(G,G),(B,G),(G,B)}` So, Probability of both of children are boys`,P(A_1) = 1/4` Probability that at least one of them is a boy `,P(A_2) = 3/4` Here, we have to find `P(A_1/A_2)`. `=>P(A_1/A_2) = (P(A_1 nn A_2))/(P(A_2))` Here, `P(A_1 nn A_2) = 1/4` `=>P(A_1/A_2) = (1/4)/(3/4) = 1/3` So, required probability is `1/3`.

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