Question: In a class, there are 12 students who play football, 8 who play basketball, and 5 who play both sports. If a student is chosen at random, what is the probability that the student plays only football?
(A) 7/15
(B) 9/15
(C) 10/15
(D) 13/15
Solution:
Total students who play football only = 12−5=7.
Total students in the class = 12+8−5=15 (to avoid double counting those who play both).
Thus, the probability is:
P(only football) = 7/15
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