The table below shows the soft drinks preferences of people in three age groups. $\begin{array}{l|ccc}
& \text { Cola } & \text { Root Beer } & \text { Lemon-lime } \
\hline \text { Under 21 years of age } & 40 & 25 & 20 \
\text { Between 21 and 40 } & 35 & 20 & 30 \
\text { Over 40 years of age } & 20 & 30 & 35
\end{array}$

If one of the 255 subjects is randomly selected, find the probability that the person drinks root beer given that they are over 40 .
A) $\frac { 2 } { 17 }$
B) $\frac { 2 } { 5 }$
C) $\frac { 6 } { 17 }$
D) None are correct

Question

The table below shows the soft drinks preferences of people in three age groups. $\begin{array}{l|ccc} 
& \text { Cola } & \text { Root Beer } & \text { Lemon-lime } \
\hline \text { Under 21 years of age } & 40 & 25 & 20 \
\text { Between 21 and 40 } & 35 & 20 & 30 \
\text { Over 40 years of age } & 20 & 30 & 35
\end{array}$

If one of the 255 subjects is randomly selected, find the probability that the person drinks root beer given that they are over 40 .
A) $\frac { 2 } { 17 }$
B) $\frac { 2 } { 5 }$
C) $\frac { 6 } { 17 }$
D) None are correct

Quizplus · Accepted Answer

The probability that a person drinks root beer given that they are over 40 is calculated by dividing the number of people over 40 who prefer root beer (30) by the total number of people over 40 (20 + 30 + 35 = 85). Thus, the probability is 30/85, which simplifies to 6/17.

The Table Below Shows the Soft Drinks Preferences of People