Answer:
0.45 = 45% probability that the member uses the golf course but not the tennis courts
Step-by-step explanation:
I am going to solve this question using the events as Venn sets.
I am going to say that:
Event A: Uses the golf courses.
Event B: Uses the tennis courts.
5% use neither of these facilities.
This means that
75% use the golf course, 50% use the tennis courts
This means, respectively, by:
Probability that a member uses both:
This is . We have that:
So
What is the probability that the member uses the golf course but not the tennis courts?
This is , which is given by:
So
0.45 = 45% probability that the member uses the golf course but not the tennis courts