In a class 30 of students, 10 are female and 22 have an A in the class. There are 4 students who are female and have an A in the class. What is the probability that a student chosen randomly from the class is a male who does not have an A?

30 students in total
20 male
10 female
22 have an A
8 don't have an A

Probability of randomly choosing a male = 20/30=2/3
Probability of randomly choosing subside who does not have an A = 8/30 = 4/15

Probability of choosing a male who does not have an A = (2/3)*(4/15) = 8/45