a fitness club with 100 members offers one free training session per member in either running, swimming, or weightlifting. Thirty of the fitness center members sign up for a free session. The running and swimming sessions are each twice as popular as the weightlifting session. What is the probability that a randomly chosen fitness club member signs up for a free running session?

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Anshuyadav Anshuyadav · Answer 1 · 2022-09-22T08:46:08+02:00

The probability that a randomly chosen fitness club member signs up for a free running session is 0.4.

Let total s members sign up for the weightlifting session.

So, the total members for the running session is 2x.

And the total members for the swimming session be 2x.

Also here it is given that, thirty of the fitness center members sign up for a free session.

⇒ x + 2x + 2x = 30

⇒ 5x = 30

⇒ x = 30/5

⇒ x = 6

Thereofre, the probability that a randomly chosen fitness club member signs up for a free running session

= total number of members in running session/ number of members sign up for a free session

= 12/30

= 0.4

Hence, the probability that a randomly chosen fitness club member signs up for a free running session is 0.4.

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