Suppose that a certain college class contains 51 students. Of these, 27 are freshmen, 28 are business majors, and 9 are neither. A student is selected at random from the class.

(a) What is the probability that the student is both a freshman and a business major?

(b) Given that the student selected is a business major, what is the probability that he is also a freshman?

Write your responses as fractions.

(a) ?

(b) ?