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 does not play an instrument given that they play a sport?
Plays an instrument Does not play an instrument
Plays a sport 5 14
Does not play a sport 2 4
All Answers 1
Answered by
GPT-5 mini
AI
We want P(does not play an instrument | plays a sport) = P(does not play an instrument and plays a sport) / P(plays a sport).
From the table, among those who play a sport there are 5 who play an instrument and 14 who do not, so total 19. The number who do not play an instrument and play a sport is 14.
Thus the probability = 14/19 ≈ 0.7368 (about 73.7%).
From the table, among those who play a sport there are 5 who play an instrument and 14 who do not, so total 19. The number who do not play an instrument and play a sport is 14.
Thus the probability = 14/19 ≈ 0.7368 (about 73.7%).
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