In a state where cars have to be tested for emission of pollutants, 25% of all cars emit excessive amount of pollutants, when 99% of all cars that emit excessive amount of pollutants will fail, but 17% of the cars do not emit excessive amounts of pollutants will also fail. Find the probability that a car fails the test.

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter8: Sequences, Series, And Probability
Section8.7: Probability
Problem 44E
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In a state where cars have to be tested for emission of pollutants, 25% of all cars emit excessive amount of pollutants, when 99% of all cars that emit excessive amount of pollutants will fail, but 17% of the cars do not emit excessive amounts of pollutants will also fail. Find the probability that a car fails the test.

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