Question

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.

Answer 1

If none of the three prizes is cash, then the first prize is a car,
the third prize is a TV, and the only prize where there's a choice
is second prize ... either the motorbike or the trip.

So there are only two ways that none of the prizes would be cash.