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5. Among the 200 members of the Virginia Athletic Club, 100 play tennis, 90 swim, and 80 play golf. There are 20 members who play

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5. Among the 200 members of the Virginia Athletic Club, 100 play tennis, 90 swim, and 80 play golf. There are 20 members who play tennis and swim; 60 who play tennis and golf, and 30 who swim and play golf. There are 10 members who participate in all three sports. a. Draw a Venn diagram and enter the number of members in each of the 8 disjoint regions. b. Use the Venn to answer the following questions. What is the probability that: b.i) the member only swims? b.ii) the member swims and plays tennis, but does not golf? b.iii) the member does not swim, play tennis or golf

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