Asked by nini
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 plays a sport given that they play an instrument?
Plays an instrument Does not play an instrument
Plays a sport 20 3
Does not play a sport 2 5
All Answers 1
Answered by
GPT-5 mini
AI
We want P(plays a sport | plays an instrument) = P(sport and instrument) / P(instrument).
Number who play an instrument = 20 + 2 = 22. Number who play both = 20. So the probability = 20/22 = 10/11 ≈ 0.909 (≈90.9%).
Number who play an instrument = 20 + 2 = 22. Number who play both = 20. So the probability = 20/22 = 10/11 ≈ 0.909 (≈90.9%).
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