An accounting professor at a state university in Vermont recently gave a three-question multiple-choice quiz. Each question had four optional answers.
a. What is the probability of getting a perfect score if you were forced to guess at each question?
b. Suppose it takes at least two correct answers out of three to pass the test. What is the probability of passing if you are forced to guess at each question? What does this indicate about studying for such an exam?
c. Suppose through some late-night studying you are able to correctly eliminate two answers on each question. Now answer parts a and b.