mathematics

Algebra 2 class of 21 students, 6 of them play basketball and 10 of them play baseball. There are 7 students who play neither sport. What is the probability that a student chosen randomly from the class plays both basketball and baseball?

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  1. According to the Venn diagram that I made, where I called the intersection x

    (6-x) + x + (10-x) + 7 = 21
    x = 2

    so prob(play both) = 2/21

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  2. 2/21

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  3. In a certain Algebra 2 class of 28 students, 9 of them play basketball and 17 of them play baseball. There are 6 students who play neither sport. What is the probability that a student chosen randomly from the class plays both basketball and baseball

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