document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1188556>Question 1188556</A>: <I><SPAN STYLE=\"word-break: break-all;\"> In one​ lottery, a player wins the jackpot by matching all five distinct numbers drawn in any order from the white balls​ (1 through 41 ​) and matching the number on the gold ball​ (1 through 32). If one ticket is​ purchased, what is the probability of winning the​ jackpot? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #819677 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=819677\">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 distinct numbers drawn in any order from the white balls​ (1 through 41 ​) and matching the number on the gold ball​ (1 through 32). If one ticket is​ purchased, what is the probability of winning the​ jackpot?<BR>\n" );
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document.write( "For the white balls:<BR>\n" );
document.write( "1st choice is 1 of 41, then 1 of 40, etc<BR>\n" );
document.write( "= 41*40*39*38*37<BR>\n" );
document.write( "But there are 5*4*3*2*1 = 120 ways to pick the 1st 5<BR>\n" );
document.write( "---> 41*40*39*38*37/120 = 749398<BR>\n" );
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document.write( "Multiply that by 32 for the gold ball. </SPAN>\n" );
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