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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?

 Jul 24, 2022
 #1
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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

 

 

cool cool cool 

 Jul 24, 2022

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