2. (15 pts) In a match, two players, A and B, alternately and independently flip a coin and the first player to obtain a head wins the match. Assume player A flips first. (a) Describe the sample space. Express the event that player A wins the match in terms of the outcomes listed in your sample space. (b) If the coin is fair, what is the probability that A wins? (c) Suppose that IP(Head) = p, not necessarily 1/2. Find the probability that player A wins. What's the probability that player B wins