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Suppose that we have 5 coins such that if the i th coin is flipped, heads will appear with probability i / 6, i =

Suppose that we have 5 coins such that if the ith coin is flipped, heads will appear with probability i/6, i = 1,2,...,5. When one of the coins is randomly selected and flipped, it shows tails. What is the conditional probability that it was the 4th coin?

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