A distribution center recieves shipments of a product from t

A distribution center recieves shipments of a product from three different factories in the quantities of 50, 30, and 25. Three times a product is selected at random, each time without replacement. Find the probability that...

A) All three productes came from the third factory.

B) None of the three products came from the third factory.

Solution

A) the probability that.all three productes came from the third factory =[25C1/105C1]*[24C1/104C1]*[23C1/103C1]

=0.012

B) the probability that none of the three productes came from the third factory

=[80C1/105C1]*[79C1/104C1]*[78C1/103C1] =0.438