SOLUTION: A box contains eight items of which three are defective and another box contains five items of which two are defective. An item is drawn at random from each box. What is the probab

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Question 1144029: A box contains eight items of which three are defective and another box contains five items of which two are defective. An item is drawn at random from each box. What is the probability that the selection contains one defective and another non-defective item?
Answer by ikleyn(52781) About Me  (Show Source):
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The probability = P(defetive from Box1 and non-defective from Box2) + P(non-defetive from Box1 and defective from Box2) = 

                = %283%2F8%29%2A%28%285-2%29%2F5%29 + %28%285-3%29%2F8%29%2A%282%2F5%29 = %283%2F8%29%2A%283%2F5%29 + %282%2F8%29%2A%282%2F5%29 = %289%2B4%29%2F40 = 13%2F40.    ANSWER