Question

There are 130 people in a sport centre.

65 people use the gym.
51 people use the swimming pool.
44 people use the track.
15 people use the gym and the pool.
14 people use the pool and the track.
10 people use the gym and the track.
1 person uses all three facilities.
A person is selected at random.
What is the probability that this person doesn't use any facility?
could i have this in a fraction?

Answer 1

11/130

Explanation:

The number of people who use any facility is:

N = 65 + 51 + 44 − 15 − 14 − 10 − 2(1)

N = 119

So the number of people who don't use any facility is 130 − 119 = 11.

And the probability is 11/130.