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In a class 22 of students, 17 play an instrument and 12 play a sport. There are 10 students who play an instrument and also play a sport. What is the probability that a student who plays a sport also plays an instrument?

 Jun 15, 2020
 #1
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The proability is 5/8.

 Jun 17, 2020
 #2
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10 play both instrument and sport.  Choose a sport person from 12 and there is a 10 in 12 probability that that person also plays an instrument.

Hence probability = 10/12 = 5/6

 Jun 17, 2020

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