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Sixty percent of new drivers have had driver education. During their first year, new drivers without...

Sixty percent of new drivers have had driver education. During their first year, new drivers without driver education have a probability of 0.08 of having an accident, but new drivers with driver education have only a 0.05 probability of an accident. What is the probability a new driver has had driver education, given that the driver has had no accident the first year?

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Answer #1
Education No Education Total
Accident 0.05 * 60 = 3 0.08 * 40 = 3.2 6.2
No Accident 60 - 3 = 57 40 - 3.2 = 36.8 93.8
Total 60 40 100

P(Education|No Accident) = (57/100)/(93.8/100) = 0.6077

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