A company is running a contest and offering a first, second, and third prize. First prize is a choice
of a car or $15,000 cash. Second prize is a choice of a motorbike, a trip to New York City, or $2,000
cash. Third prize is a choice of a television or $500 cash.
If each prize is equally likely to be selected, list the sample space or draw a tree diagram of all
possible different outcomes of first, second, and third prizes.
Determine the number of ways that none of the three prizes selected could be cash.