Problem 9: Multiple Choice Exams and Probability A student taking a multiple-choice exam does not know the answers to two questions. All have five choices for the answer. For one ofthe two questions, the student can eliminate two answer choices as incorrect, but he has no idea about the other answer choices. For the other question. the student has not clue about the correct answer at all. Assume that the student choice of an answer to one of the questions does not affect the his choice of an answer on the other question. (a) (3 points) What is the probability that the student will answer both questions correctly? HW6: Introduction to Discrete Probability Page 7 of9 Points: out of 13 (b) (4 points) What is the probability that the student will answer exactly one question correctly? (c) (3 points) What is the probability that the student will answer neither question correctly