Suppose that a certain college class contains 46 students. Of these, 26 are seniors, 28 are social science majors, and 7 are neither. A student is selected at random from the class. (a) What is the probability that the student is both a senior and a social science major? (b) Given that the student selected is a senior, what is the probability that she is also a social science major? Write response as fractions.