Probability in nursing

The numbers below show the number of male and female students enrolled in nursing at a particular university for a recent semester. 1) Find the probability that a randomly selected student is a male, given that the student is a nursing major. 2) Find the probability that a randomly selected student is a nursing major, given that the student is male.

Males: Nursing majors 92, non-nursing majors 1147, total 1239.

Females: Nursing majors 710, non-nursing majors 1636, total 2346.

Total nursing majors 802, total non-nursing majors 2783, total 3585