There are 135 people in a sport centre. 77 people use the gym. 62 people use the swimming pool. 65 people use the track. 27 people use the gym and the pool. 23 people use the pool and the track. 31 people use the gym and the track. 4 people use all three facilities. Given that a randomly selected person uses the gym and the track, what is the probability they do not use the swimming pool

Respuesta :

The probability that the person uses the gym and track but not the pool is; 1/5.

What is the probability that a person uses the gym and track but not the pool?

According to.the task content, it follows that 31 people use the gym and track while 4 people use all three facilities.

Hence, it follows that; 31-4 = 27 people use the gym and track but not the pool. On this note, the required probability is; 27/135 = 1/5.

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