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At a factory that produces pistons for cars, Machine 1 produced 488 satisfactory pistons and 122 unsatisfactory pistons today. Machine 2 produced 450 satisfactory pistons and 50 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 unsatisfactory and the piston chosen from Machine 2 is satisfactory ?

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