A distribution center receives shipments of a product from t

A distribution center receives shipments of a product from three different factories in the quantaties of 50, 30, and 25. Three times a product is selected at random, each time without replacement. Find the probability that (a) all three parts came from the second factory and (b) none of the tree products came from the second factory

Solution

a)

P(all products came from 2nd factory) = 30/(50+30+25)*29/(50+29+25)*28/(50+28+25) = 0.0217

b)

P(none of them came frm 2nd factory) = (50+25)/(105)*(50+25-1)/(104)*(50+25-2)/(105-2)= 0.36