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?
The proability is 5/8.
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
