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 65% regularly use the golf course, 49% regularly use the tennis courts, and 7% use neither of these facilities regularly. What is the probability that a worker regularly uses both golf and tennis facilities?

A. .49
B. .21
C. .70
D. .93

Answer 1

Answer: Probability that a worker regularly uses both golf and tennis facilities would be 0.21 or 21%.

Step-by-step explanation:

Since we have given that

Probability that it regularly use the golf course = 65% = 0.65

Probability that it regularly use the tennis courts = 49% = 0.49

Probability it use neither of these facilities regularly = 7% = 0.07

So, Probability that it use either of these facilities regularly would be

$1-0.07=0.93$

So, using "Probability rules", we get that

$P(G\cup T)=P(G)+P(T)-P(G\cap T)\\\\0.93=0.65+0.49-x\\\\0.93-1.14=-x\\\\-0.21=-x\\\\x=0.21$

Hence, probability that a worker regularly uses both golf and tennis facilities would be 0.21 or 21%.