Compute the Probability of an Event Using the Complement Rule
-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, $45 \%$ regularly use the tennis courts, and $5 \%$ use neither of these facilities regularly. What percentage of the 600 use at least one of the golf or tennis facilities?
A) $95 \%$
B) $5 \%$
C) $110 \%$
D) $20 \%$

Question

Quizplus · Accepted Answer

The complement rule states that the probability of not A (in this case, not using either facility) plus the probability of A (using at least one facility) equals 100%. Since 5% use neither, 100% - 5% = 95% use at least one of the facilities.

Compute the Probability of an Event Using the Complement Rule 70%70 \%70%

Compute the Probability of an Event Using the Complement Rule $70 \%$