Suppose that a certain college class contains 60students. Of these,are 37 freshmen, 28are economics majors, and 10are neither. A student is selected at random from the class.

(a) What is theprobabilitythat the student is both a freshman and an economics major?

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

Write your responses as fractions.

(If necessary, consult alist of formulas.)