Suppose that a certain college class contains 49 students. Of these, 24 are seniors, 26 are English 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 senior and an English major?
(b) Given that the student selected is a senior, what is the probability that she is also an English major?
Write your responses as fractions.