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 and drinks cola.
A) $\frac { 4 } { 19 }$
B) $\frac { 4 } { 17 }$
C) $\frac { 4 } { 51 }$
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 is over 40 and drinks cola.
A) $\frac { 4 } { 19 }$
B) $\frac { 4 } { 17 }$
C) $\frac { 4 } { 51 }$
D) None of the above is correct.

Quizplus · Accepted Answer

To find the probability that a person is over 40 and drinks cola, we add the total number of people surveyed (40+25+20+35+20+30+20+30+35 = 225) and then divide the number of people over 40 who drink cola (20) by this total. Thus, the probability is $ \frac{20}{225} = \frac{4}{45} $, which is not listed among the options provided, so the correct answer is D, None of the above is correct.

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