Suppose that a certain college class contains 38 students. Of these, 21 are sophomores, 26 are physics majors, and 8 are neither. A student is...

Suppose that a certain college class contains 38 students. Of these, 21 are sophomores, 26 are physics majors, and 8 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 physics major?

(b) Given that the student selected is a physics major, what is the probability that she is also a sophomore?

Write your responses as fractions.

(If necessary, consult a list of formulas.)