An exam is given to 100 students. The population of the class was 40 male students and 60 female students. Sixty students passed the exam. Of the students that pass the class 24 of them were men, and 36 were women. In order to get feedback on the course, a student is selected to give an interview about the exam.
a. Find the probability that the student passed, given that the student is male.
b. Find the probability that the student is female, given that a passing grade was recieved.

Question

An exam is given to 100 students. The population of the class was 40 male students and 60 female students. Sixty students passed the exam. Of the students that pass the class 24 of them were men, and 36 were women. In order to get feedback on the course, a student is selected to give an interview about the exam.
a. Find the probability that the student passed, given that the student is male.
b. Find the probability that the student is female, given that a passing grade was recieved.