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 heads. What is the conditional probability that it was the 5th coin?

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter12: Probability
Section12.3: Conditional Probability; Independent Events; Bayes' Theorem
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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 heads. What is the conditional
probability that it was the 5th 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 heads. What is the conditional probability that it was the 5th coin?
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