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We have two coins: C and C. While C is a fair coin, the second coin has two heads. In an experiment, we select

We have two coins: C and C. While C is a fair coin, the second coin has two heads. In an experiment, we select C with probability 3/4 and C with probability 1/4. The selected coin is tossed n times and n heads are observed. (a) Compute the probability of having selected C2 given the outcome of the experiment. (b) What is the limit of that probability when n ?

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