Suppose that a certain college class contains 52 students. Of these, 25 are freshmen, 30 are physics majors, and 11 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 physics major?

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

Write your responses as fractions.