Answer:
Explanation:
As shown in the Venn diagram,
Let
U=[The total number of people in the sport center ]
This implies that
n(U)=130
G=[Those who use the gym]
This implies that
n(G)=61
P=[Those who use the pool]
This implies that
n(P)=68
T=[Those who use the track]
This implies that
n(T)=60
a=those who use only the gym
b=those who use only the pool
c=those who use only the track
From the digram,
a=61-(13+6+19)=61-38=23
b=68-(6+24+19)=68-49=19
c=60-(13+6+24)=60-43=17
The number of people who use exactly one facilities=a+b+c=23+19+17=59
Hence, the probability that a person selected at random uses exactly one the facilities
