After giving a test, below is the summary of grades by gender.
A B C Total
Male 9 18 20 47
Female 5 12 4 21
Total 14 30 24 68
If a student is randomly chosen, find the probability that
a. the student is male. Leave your answer as a reduced fraction.
b. the student is male or earned grade A. Leave your answer as a reduced fraction.
c. the student is male given the student earned grade A. Leave your answer as a reduced fraction.