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In a class 50 students, 25 of the students are female, 15 of the students are mathematics major, and 10 of the mathematics majors are female.

In a class 50 students, 25 of the students are female, 15 of the students are mathematics major, and 10 of the mathematics majors are female. If a student in the class is to be selected at random, what is the probability that the student selected will be female or a mathematics major or both?

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