Find the indicated probability. Give your answer as a decimal rounded to the nearest thousandth.
-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 68% regularly use the golf course, 44% regularly use the tennis courts, and 10% use neither 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) 0.244
B) 0.324
C) 0.5
D) 0.196

Question

Quizplus · Accepted Answer

To find the probability that a member uses the golf course given they use the tennis courts, we first need to find the percentage of members that use both facilities. Since 10% use neither, 90% use at least one. With 68% using the golf course and 44% using the tennis courts, we can infer that some percentage must be using both to not exceed 100% when combined. The exact overlap isn't given, but we can calculate the conditional probability directly from the information provided about using the tennis courts as the given condition. The question essentially asks for P(Golf|Tennis), which we can interpret as the intersection over the condition, but without direct numbers, we use the given percentages to infer the relationship. Given the lack of direct intersection information, the correct approach involves understanding that the probability of a member using the golf course given they use the tennis courts is derived from the overall usage patterns, which isn't directly calculable from the provided data without assuming the overlap. Thus, without explicit intersection data, we can't directly calculate the exact probability, suggesting a misunderstanding in the explanation process. The correct approach would involve calculating the intersection of tennis and golf users and dividing by the total tennis users, but with the given data, we can't accurately perform this calculation without additional information. The correct answer should reflect an understanding of conditional probability based on the provided data, which implies a need to reevaluate the given percentages and their implications on the calculation.

Find the Indicated Probability