Question 197977
For the daily lottery game in Illinois, participations 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.
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a. How many different outcomes (Three different numbers) are possible?
There are 10C3 = 120 "sets" of three numbers.
Each set can be arranged in 3! = 6 ways
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Total # of 3 digit numbers is 6*120 = 720 
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b. If you purchased a ticket for the game tonight, what is the likelihood you will win?
Ans: 1/720
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c. 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
Ans: 1 - (3/720) = 0.9958333.... or 99.58%
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Cheers,
Stan H.