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30 June, 05:26

In a certain Algebra 2 class of 29 students, 14 of them play basketball and 8 of them play baseball. There are 9 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. 30 June, 07:30
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    2/29

    Step-by-step explanation:

    If 9 play none, of the 29 students, 29-9 = 20 play at least one. If 14 play basketball, then 20-14 = 6 play only baseball. Since 8 play baseball, there must be 8-6 = 2 who play both baseball and basketball.

    Choosing at random, the probability is 2/29 that a student will be chosen who plays both sports.
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