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Larry takes a multiple-choice test where for each question there are five possible answers to choose...

Larry takes a multiple-choice test where for each question there are five possible answers to choose from. If he guesses, he gets the answer correct with probability 1/5. For any given question, he knows the correct answer with probability 1/2. Given the information that Larry got question one correct, what is the probability he knew the correct answer to question one?

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