SOLUTION: Here is my question. At a quality control checkpoint on a manufacturing assembly line, 8% of the items failed check A, 10% failed check B, and 2% failed both checks A and B. a

Question 330050: Here is my question.
At a quality control checkpoint on a manufacturing assembly line, 8% of the items failed check A, 10% failed check B, and 2% failed both checks A and B.
a. If a product failed check A, what is the probability that it also failed check B?
b. If a product failed check B, what is the probability that it also failed check A?

Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
At a quality control checkpoint on a manufacturing assembly line, 8% of the items failed check A, 10% failed check B, and 2% failed both checks A and B.
a. If a product failed check A, what is the probability that it also failed check B?
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P(failed B | failed A) = P(failed both)/P(failed A) = 0.02/0.08 = 0.25
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b. If a product failed check B, what is the probability that it also failed check A?
P(failed A | failed B) = P(failed both)/P(failed B) = 0.02/0.10 = 0.2
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Cheers,
Stan H.

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