Each manager of a Fortune 500 company 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:
$\begin{array} { l | c c c c | c }
\text { Manager } & & \text { Educational Background}& & & \
\text { Rating } & \text { H. S. Degree } & \text { Some College } & \text { College Degree } & \text { Master's or Ph.D. } & \text { Total } \
\hline \text { Good } & 9 & 4 & 22 & 4 & 39 \
\text { Fair } & 3 & 18 & 47 & 19 & 87 \
\text { Poor } & 8 & 1 & 6 & 19 & 34 \
\hline \text { Total } & 20 & 23 & 75 & 42 & 160
\end{array}$

What is the probability that a randomly chosen manager has earned at least one college degree?

Question

Each manager of a Fortune 500 company 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:
$\begin{array} { l | c c c c | c } 
\text { Manager } & & \text {  Educational Background}& & & \
\text { Rating } & \text { H. S. Degree } & \text { Some College } & \text { College Degree } & \text { Master's or Ph.D. } & \text { Total } \
\hline \text { Good } & 9 & 4 & 22 & 4 & 39 \
\text { Fair } & 3 & 18 & 47 & 19 & 87 \
\text { Poor } & 8 & 1 & 6 & 19 & 34 \
\hline \text { Total } & 20 & 23 & 75 & 42 & 160
\end{array}$

What is the probability that a randomly chosen manager has earned at least one college degree?

Quizplus · Accepted Answer

The probability that a manager has at least one college degree (College Degree or Master's or Ph.D.) is calculated by adding the total number of managers with a College Degree (75) and those with a Master's or Ph.D. (42), then dividing by the total number of managers (160). So, the probability is $\frac{75 + 42}{160} = \frac{117}{160}$.

Each Manager of a Fortune 500 Company Was Rated as Being