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Probability that one of the coins is double headed

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Reference no: EM131680260

Question: A hat contains 100 coins, where at least 99 are fair, but there may be one that is doubleheaded (always landing Heads); if there is no such coin, then all 100 are fair. Let D be the event that there is such a coin, and suppose that P(D) = ½. A coin is chosen uniformly at random. The chosen coin is flipped 7 times, and it lands Heads all 7 times.

(a) Given this information, what is the probability that one of the coins is double headed?

(b) Given this information, what is the probability that the chosen coin is double headed?

Reference no: EM131680260

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