Question: There are three coins -- one is a two-headed coin, one is biased and comes up heads 75% of the time, and the third is

There are three coins -- one is a two-headed coin, one is biased and comes up heads 75% of the time, and the third is a "fair'' coin.

Given that the coin that was flipped comes up heads, what is the probability that it was the fair coin?

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