According to a recent study, 8.6 % of high school dropouts are 16 - to 17-year-olds. in addition, 6.3 % of high school dropouts are white 16 - to 17-year-olds. what is the probability that a randomly selected dropout is white, given that he or she is 16 to 17 years old? g

Question

Mathematics

Carpenter

24 October, 10:00

According to a recent study, 8.6 % of high school dropouts are 16 - to 17-year-olds. in addition, 6.3 % of high school dropouts are white 16 - to 17-year-olds. what is the probability that a randomly selected dropout is white, given that he or she is 16 to 17 years old? g

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Renee Cole · Answer 1

The formula for conditional probability is

... P (A|B) = P (A&B) / P (B)

Filling in the given numbers ...

... P (white | 16 or 17) = P (whiite & (16 or 17)) / P (16 or 17)

... = 6.3% / 8.6% ≈ 0.7326