Question: Suppose you are taking a multiple-choice test for fun. Each question has five choices (A-E). You roll a six-sided die and mark the answer according

Suppose you are taking a multiple-choice test for fun. Each question has five choices (A-E). You roll a six-sided die and mark the answer according to the number on the die and leave the answer blank if the die is a 6. Each question is scored one point for a right answer, minus one-quarter point for a wrong answer, and no points for a question left blank.
a. What is the expected value for each question?
b. What is the expected value for a 30-question test?

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