Suppose that we have 6 coins such that if the ith coin is flipped, heads will appear with probability i/7, i = 1,2, ..., 6. When one of the coins is randomly selected and flipped, it shows tails. What is the conditional probability that it was the 1st coin?

A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
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Chapter1: Combinatorial Analysis
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Suppose that we have 6 coins such that if the ith coin is flipped, heads will appear with probability i/7,
i = 1,2, ..., 6. When one of the coins is randomly selected and flipped, it shows tails. What is the conditional
probability that it was the 1st coin?
Transcribed Image Text:Suppose that we have 6 coins such that if the ith coin is flipped, heads will appear with probability i/7, i = 1,2, ..., 6. When one of the coins is randomly selected and flipped, it shows tails. What is the conditional probability that it was the 1st coin?
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