Suppose that a certain college class contains 60 students. Of these, 37 are sophomores, 26 are business majors, and 5 are neither. A student is selected at random from the class.

(a) What is the probability that the student is both a sophomore and a business major?
(b) Given that the student selected is a business major, what is the probability that he is also a sophomore?

Write your responses as fractions. (If necessary, consult a list of formulas.)