A class has 250 students. 113 of whom are male, and 167 of whom are mechanical engineers.

Question:

A class has 250 students. 113 of whom are male, and 167 of whom are mechanical engineers. There are 52 female students who are not mechanical engineers. There are 19 female mechanical engineers who are seniors.
(a) If a randomly chosen student is not a mechanical engineer, what is the probability that the student is a male?
(b) If a randomly chosen student is a female mechanical engineer, what is the probability that the student is a senior?