# Probability : Fair and Biased Coins

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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?

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The probability of choosing fair and biased coins is calculated. The solution is detailed and well presented.

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There are f+b coins in the hat. The ...

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