Suppose that coin 1 has probability 0.7 of coming up heads, and coin 2 has prob-ability 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?