document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1039943>Question 1039943</A>: <I><SPAN STYLE=\"word-break: break-all;\"> In one&#8203; lottery, a player wins the jackpot by matching all five numbers drawn from white balls&#8203; (1 through 43)and matching the number on the gold ball&#8203; (1 through 35). <BR>\n" );
document.write( "What is the probability of winning the&#8203; jackpot? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #654705 by </B><A HREF=/tutors/aboutme.mpl?userid=Alan3354><B>Alan3354(69443)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Alan3354><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=Alan3354><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=654705\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> In one lottery, a player wins the jackpot by matching all five numbers drawn from white balls (1 through 43)and matching the number on the gold ball (1 through 35). <BR>\n" );
document.write( "What is the probability of winning the jackpot?<BR>\n" );
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document.write( "For the 5 of 43:<BR>\n" );
document.write( "43*42*41*41*39 (there's no repetition)<BR>\n" );
document.write( "= 115511760<BR>\n" );
document.write( "--<BR>\n" );
document.write( "But the order doesn't matter.<BR>\n" );
document.write( "ABCDE is the same as BECAD<BR>\n" );
document.write( "--> 5*4*3*2*1 = 120<BR>\n" );
document.write( "---<BR>\n" );
document.write( "115511760/120 = 962598<BR>\n" );
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document.write( "The gold ball is 1 of 35<BR>\n" );
document.write( "962598*35 = 33690930<BR>\n" );
document.write( "------<BR>\n" );
document.write( "1 chance out of 33,690,930 </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );