A distribution center receives shipments of a product from t

A distribution center receives shipments of a product from three different factories in the quantities of 50, 30, 25. Three times a product is selected at random, each time without replacement. Find the probability that (a) all three products came from the third factory and (b) non of the three products came from the third factory.

Solution

a) (20 / 110) * (19 / 109) * (18 / 108) = .0053 b) (90 / 110) * (89 / 109) * (88 / 108) = .5443