Discuss the following:
Q1: In a shipment of 15 room air conditioners, there are 3 with defective thermostats. Two air conditioners will be selected at random and inspected one after another. Find the probability that
(a) The first is defective.
(b) The first is defective and the second is good.
(c) Both are defective.
(d) The second air conditioner is defective.
(e) Exactly one is defective.
Q2: Now suppose 3 air conditioners will be selected at random and checked one after another. Find the probability that
(a) All three are good.
(b) The first 2 are good and the third is defective.
(c) Two are good and 1 is defective.