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Assume that 50 percent of the students at the university have taken 4 years of high school math. Of those with four years of high school math, 80 percent plan to major in science. Of those without 4 years, only 20 percent plan to major in science. You stop a student at random.

1) If the student plans to major in science, what is the probability that this student had four years of high school math?

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