You have a coin that lands heads with probability p. You and a friend alternate turns flipping the coin, and the first person to get heads wins the game. Suppose the probability that the coin comes up heads is p. (a) What is the probability that you win the game, if you go first? (b) What is the probability that you win the game, if your friend goes first? (c) Suppose you observe that your actual probability of winning the game is when your friend goes first. What must p be