Consider a multiple-choice question that has n possible answers. A person who does not answer the question

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Consider a multiple-choice question that has n possible answers. A person who does not answer the question gets a score of 0. A person who answers the question gets +1 if the answer is correct and –X if the answer is incorrect. What value of X would make the expected value of the score equal to 0 for someone who randomly selects an answer?

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