SOLUTION: a factory that produces pistons for cars, Machine 1 produced 392 satisfactory pistons and 98 unsatisfactory pistons today. Machine 2 produced 480 satisfactory pistons and 120 unsa

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Question 1143700: a factory that produces pistons for cars, Machine 1 produced 392 satisfactory pistons and 98 unsatisfactory pistons today. Machine 2 produced 480 satisfactory pistons and 120 unsatisfactory pistons today. Suppose that one piston from Machine 1 and one piston from Machine 2 are chosen at random from today's batch. What is the probability that the piston chosen from Machine 1 is satisfactory and the piston chosen from Machine 2 is unsatisfactory ?
Do not round your answer. (If necessary, consult a list of formulas.)
Answer by ikleyn(52790) About Me  (Show Source):
You can put this solution on YOUR website!
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(1)  The probability to randomly select one satisfactory piston from Machine 1 production is  392%2F%28392+%2B+98%29 = 392%2F490 = 4%2F5.


(2)  The probability to randomly select one unsatisfactory piston from Machine 2 production is  120%2F%28480+%2B+120%29 = 120%2F600 = 1%2F5.


(3)  Notice that the production sets from Machine 1 and from Machine 2 are disjoint sets.


     It implies that the final probability under the question is the product of particular probabilities


         P = 4%2F5.1%2F5 = 4%2F25 = 0.16 = 16%.    ANSWER