Fifty-two percent of the students at a certain college are females. Five percent of the students in

Question:

Fifty-two percent of the students at a certain college are females. Five percent of the students in this college are majoring in computer science. Two percent of the students are women majoring in computer science. If a student is selected at random, find the conditional probability that
(a) The student is female given that the student is majoring in computer science;
(b) This student is majoring in computer science given that the student is female.