Question

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 57% regularly use the golf course, 48% regularly use the tennis courts, and 9% use both of these facilities regularly. Given that a randomly selected member uses the tennis courts regularly, find the probability that they also use the golf course regularly.

a) .4737
b) .1875
c) .1343
d) .7164

Answer 1

To find the probability that a randomly selected member uses the golf course regularly given that they use the tennis courts regularly, use conditional probability. The probability is 0.1875.

Step-by-step explanation:

To find the probability that a randomly selected member uses the golf course regularly given that they use the tennis courts regularly, we can use conditional probability. The formula for conditional probability is:

P(A|B) = P(A and B) / P(B)

Let's denote the event of using the golf course regularly as A and the event of using the tennis courts regularly as B. We are given that P(A) = 57%, P(B) = 48%, and P(A and B) = 9%.

Using the formula, we can calculate:

P(A|B) = P(A and B) / P(B) = 9% / 48% = 0.1875

Therefore, the probability that a randomly selected member who uses the tennis courts regularly also uses the golf course regularly is 0.1875, which corresponds to option b).