Probability Intersection and conditional probability Suppose that a certain college class contains 64 students. Of these, 35 are freshmen, 37 are psychology 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 freshman and a psychology major? (b) Given that the student selected is a psychology major, what is the probability that he is also a freshman? Write your responses as fractions. (If necessary, consult a list of formulas.)