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 drinks root beer given that they are over 40 .
A) $\frac { 2 } { 5 }$
B) $\frac { 6 } { 17 }$
C) $\frac { 2 } { 17 }$
D) None of the above is correct.

Question

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 drinks root beer given that they are over 40 .
A) $\frac { 2 } { 5 }$
B) $\frac { 6 } { 17 }$
C) $\frac { 2 } { 17 }$
D) None of the above is correct.

Quizplus · Accepted Answer

Given that a person is over 40, the total number of people in that age group is 20 (cola) + 30 (root beer) + 35 (lemon-lime) = 85. The number of people who drink root beer in that age group is 30. Therefore, the probability is 30/85, which simplifies to 6/17.

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