At a small college nearby Wichita, 30% of the students major in mathematics. Of the students majoring in mathematics, 60% are males. Of all the students at the university, 50% are males.
(a) What is the probability that a student selected randomly in the university is a male majoring in mathematics?
(b) What is the probability that a student selected randomly in the university is a male or is majoring in mathematics?
(c) What proportion of the males are majoring in mathematics? In other words, what is the probability that a student is majoring in mathematics given that that student is male in the university?