A hat contains n coins f of which are fair and b of which, Basic Statistics

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A hat contains n coins f of which are fair and b of which

Question: A hat contains n coins, f of which are fair, and b of which are biased to land heads with probability 2/3. A coin is drawn from the hat and tossed twice, the first time it lands heads, and the second twice. The first time it lands heads, and second time it lands tails. Given this information, what is the probability that it is a fair coin?

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Basic Statistics: A hat contains n coins f of which are fair and b of which

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Basic Statistics: A hat contains n coins f of which are fair and b of which

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