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A manager has available a pool of 14 employees who could be assigned to a project-monitoring task. 6 of the employees are women and 8 are men. 2 of the men are brothers. The manager is to make the assignment at random so that each of the 14 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 the intersection of A and B. (Round to three decimal places as needed)

A manager has available a pool of 14 employees who could be assigned to a project-monitoring task. 6 of the employees are women and 8 are men. 2 of the men are brothers. The manager is to make the assignment at random so that each of the 14 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 the intersection of A and B. (Round to three decimal places as needed)

A First Course in Probability (10th Edition)
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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A manager has available a pool of 14 employees who could be assigned to a project-monitoring task. 6 of the employees are women and 8 are men. 2 of the men are brothers. The manager is to make the assignment at random so that each of the 14 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 the intersection of A and B. (Round to three decimal places as needed)
Transcribed Image Text:A manager has available a pool of 14 employees who could be assigned to a project-monitoring task. 6 of the employees are women and 8 are men. 2 of the men are brothers. The manager is to make the assignment at random so that each of the 14 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 the intersection of A and B. (Round to three decimal places as needed)
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