Mrs. Harvey’s algebra class has 42 students, classified by academic year and gender as follows. Freshman: male 9 / female 13 Sophomore male 4 / female 5 Junior male 4 / female 2 Senior male 2 / female...

Mrs. Harvey’s algebra class has 42 students, classified by academic year and gender as follows.

Freshman: male 9 / female 13

Sophomore male 4 / female 5

Junior male 4 / female 2

Senior male 2 / female 3

a. What is the probability that a randomly selected student is a sophomore given that the student is male?

b. What is the probability that a randomly selected student is female given the student is a freshman?