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 60,40 and 25

Solution

Find the probability that all three products came from the 3rd factory.

of ways to succeed: 25C3 = 2300

of ways to choose 3 randomly: 125C3

P(all three products came from the third factory) = (25/125)(24/124)(23/123)

P(all three products came from the third factory) = (25*24*23)/(125*124*123)=0.0072