Answer:
0.6462 = 64.62% probability that the person uses exactly one of the facilities
Explanation:
A probability is the number of desired outcomes divided by the number of total outcomes.
20 people use the gym and the track and 6 people use all three facilities
So 20-6 = 14 use exactly the gym and the track and 6 use all three.
8 people use the pool and the track
So 8 - 6 = 2 use exactly the pool and the track.
23 people use the gym and the pool.
So 23 - 6 = 17 use exactly the gym and the pool.
32 people use the track
So 32 - (6 + 14 + 2) = 10 use only the track.
60 people use the swimming pool
So 60 - (6 + 2 + 17) = 35 use only the pool.
76 people use the gym
So 76 - (6 + 14 + 17) = 39 use only the gym
What is the probability that the person uses exactly one of the facilities?
Out of 130, 39 + 35 + 10 = 84 use exactly one of the facilities.
84/130 = 0.6462
0.6462 = 64.62% probability that the person uses exactly one of the facilities