There are 130 people in a sport centre.
61 people use the gym.
68 people use the swimming pool.
60 people use the track.
25 people use the gym and the pool.
30 people use the pool and the track.
19 people use the gym and the track.
6 people use all three facilities.
A person is selected at random.
What is the probability that this person doesn't use any facility?

Respuesta :

The probability that this person does not make use of the facility is 7/130

How to solve for the probability

61+68+60 - 25-28-19 + 6

= 123

The total number of person in the sport center is given as 130

We have 130 - 123 = 7

This means that there are a total of 7 persons that do not make use of this facility.

Hence the probability of a person not using the facility is 7/130

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