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rjkz
1 month ago
6

There are 120 people in a sport centre. 78 people use the gym. 46 people use the swimming pool. 45 people use the track. 21 peop

le use the gym and the pool. 16 people use the pool and the track. 24 people use the gym and the track. 9 people use all three facilities. A person is selected at random. What is the probability that this person uses at least 2 facilities?
Mathematics
1 answer:
Zina [12.3K]1 month ago
4 0
The total count of individuals using at least two facilities is obtained by adding those who utilize two facilities, but this count includes those using all three facilities three times. Thus, we calculate it as follows: 21 + 16 + 24 - 2(9) = 43, indicating the number of people utilizing two or more facilities. The likelihood that a randomly selected person from the 120 at the sports center uses at least two facilities is therefore approximately 43/120 ≈ 0.3583. The breakdown of users is: Gym only: 42, Pool only: 18, Track only: 14, Gym and Pool only: 12, Gym and Track only: 15, Pool and Track only: 7, Gym and Pool and Track: 9, No facilities: 3.
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