In a class of 23 students, 9 play an instrument and 17 play a sport. There are 8 students who play an instrument and also play a sport. What is the probability that a student does not play an instrument given that they play a sport?
1 plays only an instrument
8 play a sport and and instrument
9 play only a sport
5 do neither
Sport No Sport Total
Instrument 8 1 9
No Instrument 9 5 14
_______________________
17 6 23
P ( no instrument given a sport) = 9 / 17
