Each Manager of a Corporation Was Rated as Being Either $\frac { 101 } { 160 }$

Multiple Choice

Each manager of a corporation 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:

Given that a manager is rated as fair, what is the probability that this manager has no college background?

A) $\frac { 101 } { 160 }$
B) $\frac { 4 } { 87 }$
C) $\frac { 2 } { 9 }$
D) $\frac { 1 } { 40 }$