A distribution center receives shipment of a product from three different factories in the quantities of 60, 35 and 25. Three times a product is selected at random, each time without replacement. Find the probability that (a) all three products came from the second factory and (b) none of the three products came from the second factory

Question

(a) The probability that all products came from the second factory is
(b) The probability that none of the three products came from the second factory is

Answer 1

Part A: add all the numbers 60+35+25=120
Then divide...taking one away each time.

(35/120)(34/119)(33/118)=0.023
*Final Answer: 0.023

Part B: Add all the number together: 60+35+25=120
then subtract the second factory: 120-35=85
Then do same as part A
(85/120)(84/119)(83/118)=0.352
*Final answer: 0.352