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Intro Stats / AP Statistics
(a) Tom has a fair coin and a two-headed coin (a coin that both
sides are heads) in his pocket. He selects one of the coins at
random, and when he flips it, it shows heads. What is the
probability that it is the fair coin? (b) Suppose that he flips the
same coin a second time and again it shows heads. Now what is the
probability that it is the fair coin?