Consumer Reports magazine annually asks readers to evaluate their experiences in buying a new car during the previous year. Analysis of the questionnaires for a recent year revealed that readers were very satisfied with the following three new cars (in no particular order): Hyundai Elantra, Toyota Prius, and Subaru Forrester (Consumer Reports, Apr. 2011).
a. List all possible sets of rankings for these top three cars.
b. Assuming that each set of rankings in part a is equally likely, what is the probability that readers ranked Toyota Prius first? That readers ranked Hyundai Elantra third? That readers ranked Toyota Prius first and Subaru Forrester second?