Suppose that a certain college class contains 53 students. Of these, 33 are sophomores, 29 are history majors, and 6 are neither. A student is selected at random from the class. (a) What is the probability that the student is both a sophomore and a history major? (b) Given that the student selected is a history major, what is the probability that she is also a sophomore? Write your responses as fractions. (If necessary, consult a list of formulas.) D (a) (b ) [ X