Suppose that coin 1 has probability 0.7 of coming up heads, and coin 2 has probability 0.6 of coming up heads. If the coin ?ipped today comes up heads, then we select coin 1 to ?ip tomorrow, and if it comes up tails, then we select coin 2 to ?ip tomorrow. If the coin initially ?ipped is equally likely to be coin 1 or coin 2, then what is the probability that the coin ?ipped on the third day after the initial ?ip is coin 1? Suppose that the coin ?ipped on Monday comes up heads. What is the probability that the coin ?ipped on Friday of the same week also comes up heads?