Answer:
97/125
Explanation:
There are 125 people in a sport centre. 59 people use the gym. = G
70 people use the swimming pool. = P
55 people use the track. = T
25 people use the gym and the pool. 30 people use the pool and the track. 17 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 uses at least 2 facilities?
As illustrated in the Venn diagram,
G' = Gym only
=59-(6+11+19)
=59 - 36=23
P' = Pool only
=70-(6+19+24)
=70-49
=21
T'= Track only
=55-(6+24+11)
=55-31=14
The probability that this person uses at least 2 facilities
= 11+23+19+6+14+24/125
= 97/125