Recent information published by the U.S. Environmental Protection Agency indicates that Honda is the manufacturer of five of the top twelve vehicles in terms of fuel economy.
(a) Determine the probability distribution for the number of Hondas in a sample of three cars chosen from the top twelve. (Round your answers to 3 decimal places.)
(b) What is the likelihood that in the sample of three at least one Honda is included? (Round your answer to 3 decimal places.)