1. (12 marks) In a game of odd~nn=in~out1 each of three players tosses a coin indepenu dently. If the outcomes of their tosses are all the same, then they start over and re-toss their coins. Until the outcomes differ, then the game ends and the player whose out some differs from those of any other players Twins. Suppose that one of the players, Bob, uses a biased coin with probability p of landing; head; and the other players use fair coins. (a) Find the probability that Bob will win. (6 marks) (b) Determine the expected number of rounds that they will toss. (6 marks)