The managers of a corporation were surveyed to determine the

The managers of a corporation were surveyed to determine the background that leads to a successful manager. Each manager was rated as being either a good, fair, or poor manager by his/her boss. The manager\'s educational background was also noted. The data appear below. Given that a manager is only a fair manager, what is the probability that this manager has a college degree?

Solution

P( Manager is Fair and Has a college degree) = 43/160

P( Only a Fair Manager) = 87/160

P( Given that a manager id only a afair manager & He has a college degree) = P( Manager is Fair and Has a college degree) / P( Only a Fair Manager) = (43/160) / (87/160) = 43/87

[ANSWER] D) 43/87