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A distribution center receives shipments of a product from three different factories in the quantities of 50, 3 5 , and 2 0 . Three

A distribution center receives shipments of a product from three different factories in the quantities of 50,35,and 20.

Three times a product is selected atrandom, each time without replacement. Find the probability that

(a) all three products came from the thirdfactory and

(b) none of the three products came from the thirdfactory

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