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A multiple-choice quiz has 10 questions. Each question has five possible answers, of which only one is correct.Suppose 10 points are awarded for a correctly

A multiple-choice quiz has 10 questions. Each question has five possible answers, of which only one is correct.Suppose 10 points are awarded for a correctly answered question. How many points should be deducted for an incorrectly answered question, so that for a student guessing randomly, the expected score on a question is zero? (Most standardized tests use this method to set penalties for guessing).

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