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10 votes
In a class of 28 students, 16 play an instrument and 11 play a sport. There are

7 students who do not play an instrument or a sport. What is the probability
that a student plays an instrument given that they play a sport?

1 Answer

6 votes

Answer: 6/11

Explanation:

28 - 7 = 21

16 + 11 - 21 = 6

11 - 6 = 5

16-6 = 10

10 + 5 15

P (a) = 16/28

p (b) = 11/28

A I B = 6/28/11/28 = 6/11

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