A producer of a certain type of electronic component ships to suppliers in lots of twenty. Suppose that 60% of all such lots contain no defective components, 30% contain one defective component, and 10% contain two defective components. A lot is picked, two components from the lot are randomly selected and tested, and neither is defective.
(a) What is the probability that zero defective components exist in the lot?
(b) What is the probability that one defective exists in the lot?
(c) What is the probability that two defectives exist in the lot?