Hat contains n coins f of which are fair

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Probability : Fair and Biased Coins

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

Given this information, what is the probability that a fair coin has been chosen?

Reference no: EM13122328

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