Assume you are totally unprepared for a quiz, but you decide to take it anyway and just guess at all of the answers. The quiz is 15 multiple-choice questions, each of which has five choices (that's 1 in 5 chances of getting one right). What is the probability that you will pass the quiz if you need at least 9 questions correct in order to pass?
a. 0.0001
b. 0.0008
c. 0.1415
d. 0.1032