On a Saturday night, 20% of all drivers in U.S.A. are under the influence of alcohol. The probability that a driver under the influence of alcohol will have an accident is 0.001. The probability that a sober driver will have an accident is 0.0001.If a car on a Saturday night smashed into a tree, the probability that the driver was under the influence of alcohol is

Question : On a Saturday night, 20% of all drivers in U.S.A. are under the influence of alcohol. The probability that a driver under the influence of alcohol will have an accident is 0.001. The probability that a sober driver will have an accident is 0.0001.If a car on a Saturday night smashed into a tree, the probability that the driver was under the influence of alcohol is

(A) 3/7

(B) 4/7

(C) 5/7

(D) 6/7

Answer : option (C)

Solution :

On a Saturday night, 20% of all drivers in U.S.A. are under the influence of alcohol. The probability that a driver under the influence of alcohol will have an accident is 0.001. The probability that a sober driver will have an accident is 0.0001.If a car on a Saturday night smashed into a tree, the probability that the driver was under the influence of alcohol is
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