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

question 197

Multiple Choice

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 years of age given that they drink root beer.

• A) \(\frac { 2 } { 5 }\)
• B) \(\frac { 6 } { 17 }\)
• C) \(\frac { 5 } { 17 }\)
• D) None of the above is correct.

---

Definitions:

Anorexia Nervosa

A psychological and potentially life-threatening eating disorder characterized by self-starvation and excessive weight loss.

Bulimia

An eating disorder marked by periods of binge-eating followed by behaviors to prevent weight gain, such as self-induced vomiting or excessive exercise.

Intrinsic Motivation

The drive to engage in activities for their own sake and personal rewards, rather than for some external reward or avoidance of punishment.

Extrinsic Motivation

Motivation driven by external rewards such as money, fame, grades, or praise, rather than personal satisfaction or interest.