A local country club has a membership of 600 and operates facilities that include an 18-hole championship golf course and 12 tennis courts. Before deciding whether to accept new members, the club president would like to know how many members regularly use each facility. A survey of the membership indicates that 70% regularly use the golf course, 50% regularly use the tennis courts, and 5% use neither of these facilities regularly. If one member is chosen at random, what is the probability that the member uses both the golf and the tennis facilities regularly?

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Asked Oct 1, 2019
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A local country club has a membership of 600 and operates facilities that include an 18-hole championship golf course and 12 tennis courts. Before deciding whether to accept new members, the club president would like to know how many members regularly use each facility. A survey of the membership indicates that 70% regularly use the golf course, 50% regularly use the tennis courts, and 5% use neither of these facilities regularly. If one member is chosen at random, what is the probability that the member uses both the golf and the tennis facilities regularly?

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Expert Answer

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Step 1

The provided information are:

P (Regularly use the golf course) = 70% = 0.7

P (Regularly use the tennis court) = 50% = 0.5

P (Neither use the golf course nor tennis court) = 5% = 0.05

Step 2

To compute the probability that the randomly selected member uses both the golf and the tennis facilitie...

1- P(Neither golf course nor tennis court)
P(Golf course or tennis court)
-1-0.05
= 0.95
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1- P(Neither golf course nor tennis court) P(Golf course or tennis court) -1-0.05 = 0.95

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