Suppose that a certain college class contains 54 students. Of these, 30 are juniors, 32 are history 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 junior and a history major? (b) Given that the student selected is a history major, what is the probability that she is also a junior? Write your responses as fractions. (a) (b) G ?