Probability, Mathematics, Statistics, Bayes Theorem, Paradox.
the answer: P(BB|b)=P(BB)/P(b) P(b) is the probability of finding the randomly selected child to be a boy, which is 1/2 P(BB) is the probability that the Smith’s children are both boys, which is 1/4, based on the assumption that BB, BG, GB, and GG are equally likely P(BB|b) is the probability of