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?
First, let's find the number of people rather than percentages.
65% of 600 is 390.
49% of 600 is 294
7% of 600 is 42.
The total amount of people that use the facilities is 600 - 42 = 558.
To find the number of people who use both, we add the two together and then subtract the actual amount of people, or 600.
390 + 294 = 684
684 - 600 = 84.
To find the probability, divide it by 600 to get 84/600 = 42/300 = 21/150 = 7/50.