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the probability that a car has a certain factory defect is 8/25. the probability that a...

the probability that a car has a certain factory defect is 8/25. the probability that a car has a cartain factory defect and needs an oil change is 7/50. what is the probability that a car needs an oil change given that it has a certain factory defect?

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Answer #1

Given :

Probability that a car has a certain factory defect P(D) = 8/25

Probability that a car needs oil change P(C)

Probability that a car has a certain factory defect and needs an oil change = P (C D) = 7/50

Conditional probability P(A/B) is a probability of an event A, given the occurrence of other event B.

To Find:

Hence we need to find conditional probability that the car needs an oil change given that the car has certain factory defect.

ANSWER: The probability that a car needs an oil change given that it has certain factory defect is 7/16.

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