Suppose that students in a statistics course were asked whether they preferred multiple choice questions or whether they preferred open-ended questions. 80% said that they preferred multiple choice questions. 40% of the students were male. 70% of the males preferred multiple choice.

Giventhat a randomly selected student prefers short answer questions, what is the probability the student is a male?

a.0.75

b.0.6

c.0.5

d.0.08