A high school guidance counselor wants to find the probability that students who study geometry as freshmen will go on to study calculus before graduating. To do this, he has constructed a table, shown below, which shows the number of students who study geometry as freshmen in a given year, and the number of those students who study calculus before graduating.Year200020012002200320042005Geometry Students680577822743859804Calculus Students391336512374465361Which year had the highest experimental probability that a freshman studying geometry would take a calculus class before graduation?
For each year, divide the number who studied calculus by the number who studied geometry. The probabilities for the listed years are about 336/577 = 0.582 in 2001, 512/822 = 0.623 in 2002, 374/743 = 0.503 in 2003, and 465/859 = 0.541 in 2004. The highest is 0.623, so 2002 had the highest experimental probability.
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