Mathematics, 15.02.2021 20:20, expresslmnop

Suppose that coin 1 has probability .7 of coming up heads, and coin 2 has probability .6 of coming up heads. If the coin flipped today comes up heads then we select coin 1 to flip tomorrow, and if it comes up tails 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 1

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Suppose that coin 1 has probability .7 of coming up heads, and coin 2 has probability .6 of coming u...