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 (in fractional form) that the person is over 40 and drinks cola.
A) $\frac { 4 } { 19 }$
B) $\frac { 4 } { 17 }$
C) $\frac { 4 } { 51 }$
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 (in fractional form) that the person is over 40 and drinks cola.
A) $\frac { 4 } { 19 }$
B) $\frac { 4 } { 17 }$
C) $\frac { 4 } { 51 }$
D) None are correct.

Quizplus · Accepted Answer

The total number of subjects is 255. The number of people over 40 who drink cola is 20. Therefore, the probability is $\frac{20}{255} = \frac{4}{51}$.

The Table Below Shows the Soft Drinks Preferences of People