Question

In a class of students, the following data table summarizes how many students play an instrument or a sport. What is the probability that a student does not play an instrument given that they play a sport?
Plays an instrument Does not play an instrument
Plays a sport 2 3
Does not play a sport 6 15

Answer 1

We want P(does not play an instrument | plays a sport) = (number who play a sport and do not play an instrument) / (number who play a sport) = 3 / (2+3) = 3/5 = 0.6 = 60%.