Answer:
Step-by-step explanation:
As illustrated in the Venn diagram,
We let
U=[The total number of people at the sport center]
This implies that,
n(U)=125
G=[Those who use the gym]
This implies that,
n(G)=59
P=[Those who use the pool]
This implies that,
n(P)=70
T=[Those who use the track]
This implies that,
n(T)=55
a=[Those who use the gym only]
This implies that,
n(a)=59-(6+11+19)=59-36=23
b=[Those who use the pool only]
This implies that,
n(b)=70-(6+19+24)=70-49=21
c=[Those who use the track only]
This implies that,
n(c)=55-(6+24+11)=55-31=14
As shown in the diagram, 7 people do not use any of the facilities
Also, number of people who use gym and track=11+23+19+6+14+24=97
Hence P(a randomly selected person uses the gym and the track,but does not use the swimming pool)
