document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1139615>Question 1139615</A>: <I><SPAN STYLE=\"word-break: break-all;\"> In a certain lottery, three numbered balls are randomly drawn from a large basket without replacement. To win, a player's ticket must have each of the numbers drawn in no particular order. The balls are numbered from one to one hundred. If Jack buys twenty-four tickets, what is the probability that he will win? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #760185 by </B><A HREF=/tutors/aboutme.mpl?userid=VFBundy><B>VFBundy(438)</B></A><img src=\"/images/stars/stars-10.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=VFBundy><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/cgi-bin/show-face.mpl?user=VFBundy><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=760185\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Chances of winning with one ticket:<BR>\n" );
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document.write( "3/100 * 2/99 * 1/98 = 1/161700<BR>\n" );
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document.write( "Chances of NOT winning with 24 tickets:<BR>\n" );
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document.write( "(161699/161700)^24 = 0.99985<BR>\n" );
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document.write( "Therefore, Jack's chances of winning with 24 tickets is: 1 - 0.99985...or 0.00015.  That's about a 1 in 6667 chance. </SPAN>\n" );
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