We have two different coins. Suppose that coin 1 has probability 0.6 of coming up head, and coin 2 has probability 0.8 of coming up head. If the coin flipped today comes up head, then we select coin 1 to flip tomorrow, and if it comes up tail, then we select coin 2 to flip tomorrow. If the coin initially flipped is equally likely to be coin 1 or coin 2, then what is the probability that the coin flipped on the third day after the initial flip is coin 2? Suppose that the coin flipped on Tuesday comes up tail. What is the probability that the coin flipped on Saturday of the same week also comes up tail?