Use the Table to Find the Probability If a Person Is Selected at Random, Find the Probability

Multiple Choice

Use the table to find the probability.
-The following table indicates the preference for different types of soft drinks by three age groups. $\begin{array}{r|rrr} & \text { cola } & \text { root beer } & \text { lemon-lime } \\\hline \text { under 21 years of age } & 40 & 25 & 20 \\\text { between 21 and 40 } & 35 & 20 & 30 \\\text { over 40 years of age } & 20 & 30 & 35\end{array}$

If a person is selected at random, find the probability that the person is over 40 years of age given that they drink root beer.

A) $\frac { 2 } { 5 }$
B) $\frac { 6 } { 17 }$
C) $\frac { 5 } { 17 }$
D) None of the above is correct.