Question: A person takes a multiple-choice exam in which each question has five possible answers. Suppose that the person has no idea about the answers

A person takes a multiple-choice exam in which each question has five

A person takes a multiple-choice exam in which each question has five possible answers. Suppose that the person has no idea about the answers to three of the questions and simply chooses randomly for each one. (a) What is the probability that the person will answer all three questions correctly? 1/125 (b) What is the probability that the person will answer exactly two questions correctly? 12/125 (c) What is the probability that the person will answer exactly one question correctly? 48/125 (d) What is the probability that the person will answer no questions correctly? 64/125 (e) Suppose that the person gets one point of credit for each correct answer and that point is deducted for each incorrect answer. What is the expected value of the person's score for the three questions?

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