43. Suppose we have ten coins which are such that if the *i*th one is flipped then...

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43. Suppose we have ten coins which are such that if the *i*th one is flipped then heads will appear with probability *i*/10, *i* = 1,2,..., 10. When one of the coins is randomly selected and flipped, it shows heads. What is the conditional probability that it was the fifth coin?

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