# Soft drink preferences

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The table below shows the soft drinks preferences of people in three age groups.

cola Root beer Lemon-line

Under 21 years of age 40 25 20

Between 21 and 40 35 20 30

Over 40 years of age 20 30 35

If one of the 255 subjects is randomly selected, find the probability that the person is over 40 years of age given they drink root beer.

b) If one of the 225 subjects is randomly selected, find the probability that the selected person drinks root beer and is between 21 and 40.

c) If one of the 225 subjects is randomly selected, find the probability that the person does not drink root beer and is not between 21 and 40.

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#### Solution Preview

a) If one of the 255 subjects is randomly selected, find the probability that the person is over 40 years of age given they drink root beer.

Solution. As there are 25+20+30=75 who drink root beer, and among them, 30 are over 40 years of age. So, the probability that the person is over 40 ...

#### Solution Summary

The soft drink preferences of people in three age groups are examined in the solution.