Question
An elementary school has 3 sports clubs: baseball, football, and ice hockey. Those clubs are open to any of the 100 students in the school.
An elementary school has 3 sports clubs: baseball, football, and ice hockey. Those clubs are open to
any of the 100 students in the school. There are 36 students play football, 28 play baseball, and 14
play ice hockey. There are 12 students play both football and baseball, 6 play both football and ice
hockey, 4 play both baseball and ice hockey. In addition, there are 2 students play all 3 sports.
(a) If a student is chosen randomly, what is the probability that he or she doesn't play any of the 3 sports?
(b) If a student is chosen randomly, what is the probability that he or she plays only 1 sport?
(c) If 5 students are chosen randomly, what is the probability that 2 of them doesn't play any sports, and 2 of them play only 1 sport.
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