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 NYC or $2,000 cash. Third prize is a choice of a TV 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.

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 NYC or $2,000 cash. Third prize is a choice of a TV 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.

anonymous · Answer

two choices for first prize, 3 for second, 2 for third
by counting principle there are $2\times 3\times 2=12$ possibilities all together, although i have to say the question is a bit ambiguous

anonymous · Answer

sample space would look something like 
(car, motorbike, tv)
(car, motorbike, $500)
(car, trip, tv)
(car, trip, $500)
(car, $2k, tv)
(car, $2k, $500) and the other six would start with 
($15k, motorbike, tv)

etc

ciarabelen · Answer

The next part of the question is: Determine the number of ways that ALL three prizes selected could be cash.