document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=714975>Question 714975</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The Sad State Lottery requires you to select a sequence of four different numbers from 0 through 51. (Order is important.) You are a winner if your sequence agrees with that in the drawing, and you are a booby prize winner if your selection of numbers is correct, but in the wrong order. (Enter your answers as exact answers.)\r<BR>\n" );
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document.write( "What is the probability of being a winner?<BR>\n" );
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document.write( "What is the probability of being a booby prize winner?<BR>\n" );
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document.write( "What is the probability that you are either a winner or a booby prize winner?<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #439115 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=439115\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The Sad State Lottery requires you to select a sequence of four different numbers from 0 through 51. (Order is important.) You are a winner if your sequence agrees with that in the drawing, and you are a booby prize winner if your selection of numbers is correct, but in the wrong order. (Enter your answers as exact answers.) <BR>\n" );
document.write( "What is the probability of being a winner?<BR>\n" );
document.write( "Number of ways to win: 1<BR>\n" );
document.write( "Number of possible outcomes: 52P4 = 6497400<BR>\n" );
document.write( "P(winner) = 1/6497400<BR>\n" );
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document.write( "What is the probability of being a booby prize winner?<BR>\n" );
document.write( "# of ways to win: 4! - 1 = 23<BR>\n" );
document.write( "# of possible outcomes: 5997600<BR>\n" );
document.write( "P(booby) = 23/6497400<BR>\n" );
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document.write( "What is the probability that you are either a winner or a booby prize winner?<BR>\n" );
document.write( "Ans: 24/5997600<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
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