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 fouth day after the initial ip is coin 1? Suppose that the coin flipped on Monday comes up heads. What is the probability that the coin flipped on Friday of the same week also comes up heads? Assume that all of the flips are independent from each other.