Mathematics

In a certain Algebra 2 class of 27 students, 11 of them play basketball and 13 of them play baseball. There are 5 students who play neither sport. What is the probability that a student chosen randomly from the class plays basketball or baseball?

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  1. In a certain Algebra 2 class of 27 students, 11 of them play basketball and 13 of them play baseball. There are 5 students who play neither sport. What is the probability that a student chosen randomly from the class plays basketball or baseball?

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  2. If by "basketball or baseball" you mean either or both, then clearly that is 27-5 = 22, so 22/27
    If you mean ONLY basketball or baseball, but not both, then if x play both, you have
    11+13-x = 27-5
    x = 2
    So P(exactly one sport) = 20/27

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