Problem 4 Suppose that coin 1 has probability 0.? 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 l to ip tomorrow, and ifit 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 ofthe same week also comes up heads