(1 point) Rework problem 16 from section 3.4 of your text, involving university students' math backgrounds. 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, 75 percent plan to major in science. Of those without 4 years, only 15 percent plan to major in science. You stop a student at random.

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