Question

At a local gym with 800 members, 450 members take aerobics class, 200 members do weight training, and 125 members do both weight training and take an aerobics class. What is the probability that a randomly-selected member takes an aerobics class or does weight training? Round your answer to the hundredths place.

Answer 1

0.66

Explanation:

You want the probability that a randomly chosen member from the 800 members of a gym takes either an aerobics class, as 450 members do, or does weight training, as 200 members do. 125 members do both.

Either

Adding the numbers given for members who do aerobics or weight training will count the number who do both twice. Then the number who do either is ...

(# of aerobics) + (# of weights) - (# of both)

= 450 +200 -125 = 525

The probability that one of the 800 members is in this group is ...

P(either) = 525/800 ≈ 0.66

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