In a class of 20 students, 7 play an instrument and 9 play a sport. There are 9 students who do not play an instrument or a sport. What is the probability that a student does not play a sport given that they play an instrument?
Question
In a class of 20 students, 7 play an instrument and 9 play a sport. There are 9 students who do not play an instrument or a sport. What is the probability that a student does not play a sport given that they play an instrument?
Solution
To solve this problem, we first need to understand the information given:
- There are 20 students in total.
- 7 students play an instrument.
- 9 students play a sport.
- 9 students do not play an instrument or a sport.
From this, we can infer that there are 11 students who play either a sport or an
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