3.15 A manager has available a pool of 12 employees who could be assigned to a project editorial task. Of the employees seven are women and five are men. Two of the men are brothers. The manager has to assign the project at random so that each of the 12 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.