A manager has available a pool of 8 employees who could be assigned to a project-monitoring task. 4 of the employees are women and 4 are men. 2 of the men are brothers. The manager is to make the...

A manager has available a pool of 8 employees who could be assigned to a project-monitoring task. 4 of the employees are women and 4 are men. 2 of the men are brothers. The manager is to make the assignment at random so that each of the 8 employees is equally likely to be chosen. Let A be the event “chosen employee is a man” and B the event “chosen employee is one of the brothers.”
a. Find the probability of A.
b. Find the probability of B.
c. Find the probability of the intersection of A and B.