Legendary puzzler Martin Gardner once posed two related questions. First, Mr Smith has two children. The older is a girl. What is the probability that both children are girls? Second, Mr Jones has two children, at least one of whom is a boy. What is the probability the other Jones kid is also a boy?
The birth of a boy or a girl is (almost) equally likely. Under normal circumstances, 105 boys are born for every 100 girls. If we approximate to a birth ratio of 1:1 (assuming no transgender births), the first answer is deduced fairly easily.
There exist four equally
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