1. (30 p0ints)There are two coins in a box. For Coinl, the probability of a head is 1/4. For Coin2, the probability of a head is 3 / 4. (a) One coin is picked at random and is tossed three times. The observed tosses are H TH . Find the probability that Coin2 was picked. (b) As before a coin is picked at random, and is tossed n times. It is observed that m heads appear (m S 71). What is the probability that Coin2 was picked. Your answer should be expressed in terms of m and n