## Question

###### Suppose that coin I has probability $0.7$ of coming up heads, and coin 2 has probability $0.6$ 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 $operatorname{coin} 2$, then what is the probability that the coin flipped on the third day after the initial flip is coin $1 ?$

Suppose that coin I has probability $0.7$ of coming up heads, and coin 2 has probability $0.6$ 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 $operatorname{coin} 2$, then what is the probability that the coin flipped on the third day after the initial flip is coin $1 ?$

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