5. Suppose you have a coin where P(heads) = p. a. Four friends - A, B, C, and D - take turns, in order (A, B, C, D, A, B, C, D, A. . .), flipping the coin until someone finally gets heads and is declared the winner. Find the probability that A wins. Your answer will depend on p and should not have any summations. Also, what value should your formula give if p = 1 and why? Hint: Let W; be the event that a winner is declared on flip i for i = 1, 2,3, ... Using these events, write all the ways player A can win and go from there. b. Find the probability that A wins if there are & participants instead of 4. Your answer will depend on p and & and should not have any summations. Also, what value should should your formula give if k = 1 and why