Distinguish between beer and ale


Charles claims that he can distinguish between beer and ale 75% of the time. Ruth claims that he just guesses. To settle this, a bet is made. Charles is to be given ten small glasses, each having been filled with either beer or ale as determined by tossing a fair coin. Charles win if he gets seven or more correct. What is the probability he wins if he has the ability he claims?

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Basic Statistics: Distinguish between beer and ale
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