Each Manager of a Fortune 500 Company Was Rated as Being

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: $\quad$$\quad$$\quad$$\quad$$\quad$$\quad$$\quad$$\quad$$\quad$$\quad$$\quad$$\quad$$\quad$$\quad$$\quad$$\text { Educational Background }$
$\begin{array}{l|cccc|c}\text { Manager }\\\text { Rating } & \text { H. S. Degree } & \text { Some College } & \text { College Degree } & \text { Master's or Ph.D. } & \text { Total } \\\hline \text { Good } & 5 & 6 & 21 & 7 & 39 \\\text { Fair } & 4 & 12 & 48 & 23 & 87 \\\text { Poor } & 7 & 2 & 3 & 22 & 34 \\\hline \text { Total } & 16 & 20 & 72 & 52 & 160\end{array}$

What is the probability that a randomly chosen manager has earned at least one college degree?
A) $\frac { 31 } { 40 }$

B) $\frac { 9 } { 20 }$

C) $\frac { 13 } { 40 }$

D) $\frac { 9 } { 40 }$