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In the senior year of a high school graduating class of 100 students, 42 studied mathematics,...

In the senior year of a high school graduating class of 100 students, 42 studied mathematics, 68 studied psychology, 54 studied history, 22 studied both mathematics and history, 25 studied both mathematics and psychology, 7 studied history but neither mathematics nor psychology, 10 studied all three subjects, and 8 did not take any of the three. If a student who studied mathematics is selected, what is the probability that the student has also studied psychology?

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