If you pull someone over and they test positive, what’s the probability that their BAC is over the limit

College Algebra
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ISBN:9781337282291
Author:Ron Larson
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Chapter8: Sequences, Series,and Probability
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You’re a police officer pulling over every car at a checkpoint. You use a breathalyzer on everyone and pay no mind to other signs of sobriety. On a night like this, the chance that a given driver on this road has a blood alcohol content (BAC) over the limit is 2%. The probability of someone with a BAC over the limit testing positive is 100%. The probability of someone who doesn’t have a BAC over the limit testing positive is 5%. If you pull someone over and they test positive, what’s the probability that their BAC is over the limit? Show your work. You may express your answer as a fraction.

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