The Managers of a Corporation Were Surveyed to Determine the Background

Multiple Choice

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?seducational 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 no college background? $\begin{array}{l}\text {\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad Educational Background }\\\begin{array} { r | c c c c | c } \begin{array} { c } \text { Manager } \\\text { Rating }\end{array} & \text { H. S. Degree } & \text { Some College } & \text { College Degree } & \text { Master's or Ph.D. } & \text { Totals } \\\hline \text { Good } & 8 & 3 & 22 & 6 & 39 \\\text { Fair } & 7 & 11 & 44 & 25 & 87 \\\text { Poor } & 2 & 4 & 1 & 27 & 34 \\\hline \text { Totals } & 17 & 18 & 67 & 58 & 160\end{array}\end{array}$

A) $\frac { 7 } { 87 }$
B) $\frac { 7 } { 17 }$
C) $\frac { 7 } { 160 }$
D) $\frac { 97 } { 160 }$