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, 50% regularly use the tennis courts, and 5% use neither of these facilities regularly.

a. Construct a Venn diagram to describe the results of the survey.

b. If one club member is chosen at random, what is the probability that the member uses either the golf course or the tennis courts or both?

c. If one member is chosen at random, what is the probability that the member uses both the golf and the tennis lacilities?

d. A member is chosen at random from among those known to use the tennis courts regularly.

What is the probability that the member also uses the golf course regularly?