Suppose that a certain college class contains 38 students. Of these, are 26 sophomores, 15 are science majors, and 6 are neither. A student is...

Suppose that a certain college class contains 38 students. Of these, are 26 sophomores, 15 are science 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 science major?(b) Given that the student selected is a sophomore, what is the probability that she is also a social science major?