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 the person uses exactly one of the facilities?

The probability that the person uses exactly one of the facilities is 69.23%.

Step-by-step explanation:

Since there are 130 people in a sport center, of which 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 and 1 person uses all three facilities, to determine, if a person is selected at random, what is the probability that the person uses exactly one of the facilities, the following calculation must be performed:

130 = 100

130 - 1 - 15 - 14 - 10 = X

130 = 100

90 = X

90 x 100/130 = X

9,000 / 130 = X

69.23 = X

Therefore, if a person is selected at random, the probability that the person uses exactly one of the facilities is 69.23%.

360 different combinations