For the daily lottery game in Illinois, participants select
three numbers between 0 and 9. A number cannot be selected more
than once, so a winning ticket could be, say, 307 but not 337.
Purchasing one ticket allows you to select one set of numbers. The
winning numbers are announced on TV each night.
How many different outcomes (three-digit numbers) are
possible?
If you purchase a ticket for the game tonight, what is the
likelihood you will win?
Suppose you purchase three tickets for tonight's drawing and
select a different number for each ticket. What is the probability
that you will not win with any of the tickets?