Find the indicated probability. Express your answer as a simplified fraction unless otherwise noted.
-The table below shows the soft drinks preferences of people in three age groups.
$$\begin{array} { r | c c c }
& \text { cola } & \text { root beer } & \text { lemon-lime } \
\hline \text { under 21 years of age } & 40 & 25 & 20 \
\text { between 21 and 40 } & 35 & 20 & 30 \
\text { over 40 years of age } & 20 & 30 & 35
\end{array}$$
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) $\frac { 6 } { 17 }$

B) $\frac { 2 } { 17 }$

C) $\frac { 2 } { 5 }$

D) None of the above is correct.

Question

Find the indicated probability. Express your answer as a simplified fraction unless otherwise noted.
-The table below shows the soft drinks preferences of people in three age groups. 
$$\begin{array} { r | c c c } 
& \text { cola } & \text { root beer } & \text { lemon-lime } \
\hline \text { under 21 years of age } & 40 & 25 & 20 \
\text { between 21 and 40 } & 35 & 20 & 30 \
\text { over 40 years of age } & 20 & 30 & 35
\end{array}$$ 
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) $\frac { 6 } { 17 }$

B) $\frac { 2 } { 17 }$

C) $\frac { 2 } { 5 }$

D) None of the above is correct.

Quizplus · Accepted Answer

The probability that the person drinks root beer given that they are over 40 is the number of people who drink root beer and are over 40 divided by the total number of people who are over 40. From the table, we see that there are 30 people who drink root beer and are over 40, and there are 85 people who are over 40. Therefore, the probability that the person drinks root beer given that they are over 40 is 30/85 = 6/17.

Find the Indicated Probability If One of the 255 Subjects Is Randomly Selected, Find