document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1151738>Question 1151738</A>: <I><SPAN STYLE=\"word-break: break-all;\"> In a state lottery a five-digit integer is selected at random. If a player<BR>\n" );
document.write( "bets 1 dollar on a particular number, the payoff (if that number is selected)<BR>\n" );
document.write( "is $500 minus the $1 paid for the ticket. Let X equal the payoff to the better.<BR>\n" );
document.write( "Find the expected value of X. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #773587 by </B><A HREF=/tutors/aboutme.mpl?userid=Boreal><B>Boreal(15235)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Boreal><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=Boreal><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=773587\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The probability of winning is 1/99999 and that payoff is (500-1)/99999 or 0.00499<BR>\n" );
document.write( "The probability of losing is 99998/99999 and that loss is that fraction or -0.99999 which really rounds to 1.00<BR>\n" );
document.write( "so the expected value is - 1-0.00499 or -$0.99501 or -$0.995.<BR>\n" );
document.write( "Note that I am not using 0 here. </SPAN>\n" );
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