A manager has available a pool of eight employees who could be assigned to a project-monitoring task. Four of the employees are women and four are men. Two of the men are brothers. The manager is to make the assignment at random, so that each of the eight 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.”
- Find the probability of A.
- Find the probability of B.
- Find the probability of the intersection of A and B.
- Find the probability of the union of A and B.
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