The table below shows the soft drinks preferences of people in three age groups. $\begin{array}{r|ccc}
& \text { cola } & \text { root beer } & \text { lemon-lime } \
\hline \text { under 21 years of age } & 40 & 25 & 20 \
\text { between 21 and 40 } & 35 & 20 & 30 \
\text { over 40 years of age } & 20 & 30 & 35
\end{array}$
If one of the 255 subjects is randomly selected, find the probability that the person drinks root beer given that the over 40
A) $\frac { 6 } { 17 }$
B) $\frac { 2 } { 17 }$
C) $\frac { 2 } { 5 }$
D) None of the above is correct.

Question

The table below shows the soft drinks preferences of people in three age groups. $\begin{array}{r|ccc} 
& \text { cola } & \text { root beer } & \text { lemon-lime } \
\hline \text { under 21 years of age } & 40 & 25 & 20 \
\text { between 21 and 40 } & 35 & 20 & 30 \
\text { over 40 years of age } & 20 & 30 & 35
\end{array}$
If one of the 255 subjects is randomly selected, find the probability that the person drinks root beer given that the over 40
A) $\frac { 6 } { 17 }$
B) $\frac { 2 } { 17 }$
C) $\frac { 2 } { 5 }$
D) None of the above is correct.

Quizplus · Accepted Answer

The total number of people over 40 years of age is 20 (cola) + 30 (root beer) + 35 (lemon-lime) = 85. Among these, 30 drink root beer. Therefore, the probability that a person drinks root beer given they are over 40 is $ \frac{30}{85} $, which simplifies to $ \frac{6}{17} $.

The Table Below Shows the Soft Drinks Preferences of People