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17 January, 21:09

In a class 23 of students, 10 play an instrument and 15 play a sport. There are 7 students who play an instrument and also play a sport. What is the probability that a student does not play a sport given that they play an instrument?

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  1. 17 January, 23:03
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    The probability that a student does not play a sport given but they play an instrument is 3/23

    Step-by-step explanation:

    Total students in a class = 23

    Students who play sports = 15

    Students who play instruments = 10

    Students who play both = 7

    Probability that a student play sports = 15/23

    Probability that a student play instruments = 10/23

    Probability that a student play both = 7/23

    Probability that a student does not play a sport given but they play an instrument = probability that a student play instruments - Probability that a student play both

    = (10-7) / 23

    = 3/23

    The probability that a student does not play a sport given but they play an instrument is 3/23
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