A manager has available a pool of 15 employees who could be assigned to a projec

Question

A manager has available a pool of 15 employees who could be assigned to a project-monitoring task. 3 of the employees are women and 12 are men. 2 of the men are brothers. The manager is to make the assignment at random so that each of the 15 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 a. The probability of event A is (Round to three decimal places as needed.) b. The probability of event B is (Round to three decimal places as needed.) c. The probability of the intersection of A and B is (Round to three decimal places as needed.)

Explanation / Answer

a) probability of event A= no. Of men / total employees

= 12/15= 0.800

b) probability of event B= no. Of brothers / total employees

= 2/15= 0.133

c) probability of A intersection B = 2/15= = 0.133

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