Each Manager of a Fortune 500 Company Was Rated as Being

Multiple Choice

Each manager of a Fortune 500 company was rated as being either a good, fair, or poor manager by his/her boss. The managerʹs educational background was also noted. The data appear below:
$\begin{array}{l}\text { Educational Background }\\\begin{array} { l | c c c c | c } \text { Manager } & & & & & \\\text { Rating } & \text { H. S. Degree } & \text { Some College } & \text { College Degree } & \text { Master's or Ph.D. } & \text { Total } \\\hline \text { Good } & 1 & 2 & 21 & 15 & 39 \\\text { Fair } & 3 & 19 & 43 & 22 & 87 \\\text { Poor } & 7 & 6 & 8 & 13 & 34 \\\hline \text { Total } & 11 & 27 & 72 & 50 & 160\end{array}\end{array}$
What is the probability that a randomly chosen manager has earned at least one college degree?

A) $\frac { 19 } { 80 }$
B) $\frac { 9 } { 20 }$
C) $\frac { 5 } { 16 }$
D) $\frac { 61 } { 80 }$