The probability that a student does not play a sport given but they play an instrument is 3/23
Explanation:
Total students in a class = 23
Students who play sports = 15
Students who play instruments = 10
Students who play both = 7
Probability that a student play sports = 15/23
Probability that a student play instruments = 10/23
Probability that a student play both = 7/23
Probability that a student does not play a sport given but they play an instrument = probability that a student play instruments - Probability that a student play both
= (10-7)/23
= 3/23
The probability that a student does not play a sport given but they play an instrument is 3/23