document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=197977>Question 197977</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 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.\r<BR>\n" );
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document.write( "a.	How many different outcomes (Three different numbers) are possible?<BR>\n" );
document.write( "b.	If you purchased a ticket for the game tonight, what is the likelihood you will win?<BR>\n" );
document.write( "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 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #148459 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=148459\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 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.<BR>\n" );
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document.write( "a. How many different outcomes (Three different numbers) are possible?<BR>\n" );
document.write( "There are 10C3 = 120 \"sets\" of three numbers.<BR>\n" );
document.write( "Each set can be arranged in 3! = 6 ways<BR>\n" );
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document.write( "Total # of 3 digit numbers is 6*120 = 720 <BR>\n" );
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document.write( "b. If you purchased a ticket for the game tonight, what is the likelihood you will win?<BR>\n" );
document.write( "Ans: 1/720<BR>\n" );
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document.write( "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<BR>\n" );
document.write( "Ans: 1 - (3/720) = 0.9958333.... or 99.58%<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
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