3. |7 points] A gambler has in his pocket a fair coin and a two-headed coin (both sides are head). {a) |3 points] He selects one of the coins at random, and when he flips it, it shows heads. What is the probability that 1t 1s the fair coin? i(b) |2 points] Suppose that he flips the same coin a second time and again it shows heads. What is the probability that it is the fair coin? {c) |2 points] Suppose that he flips the same coin a third ime and it shows head. What 1s now the probability that it is the fair coin