Suppose that a certain mathematics class has 28 students. Of these, 14 are first-year students, 17 are business majors and 8 are neither.
a. Suppose that a business student is selected at random. What is the probability that he or she is also a first year student?
b. Suppose that student from this class is selected at random. Given that he or she is not a first-year student, what is the probability that he or she is a business major?