30% of college Freshmen at the small private four year school are awarded scholarships. 80% of Freshmen who are awarded scholarships at the school go on to graduate, while 40% of those who're NOT awarded scholarships go on to graduate.
(a) Given that the person goes on to graduate, find out the probability that the person who graduated received the scholarship as a Freshman?
(b) Given that a person goes on to graduate, find out the probability that the person who graduated did NOT receive the scholarship as a Freshman?