3 (15 points) A gambler has two fair coins and a two-headed coin in her pocket. She selects one of the coins at random, and when she flips it, it shows heads. a.(5 points) What is the probability that it is the fair coin? b.(5 points) Suppose that she flips the same coin a second time and again it shows heads. Now what is the probability that it is the fair coin? c.(5 points) Suppose that she flips the same coin a third time and it shows tails. Now what is the probability that it is the fair coin