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 a college degree?

\begin{array}{l}\text {\quad\quad\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 } & 7 & 2 & 22 & 8 & 39 \\\text { Fair } & 8 & 19 & 48 & 12 & 87 \\\text { Poor } & 3 & 6 & 4 & 21 & 34 \\\hline \text { Totals } & 18 & 27 & 74 & 41 & 160\end{array}\end{array}

\frac { 16 } { 29 }

\frac { 3 } { 10 }

\frac { 37 } { 80 }

\frac { 74 } { 87 }

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