document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=181542>Question 181542</A>: <I><SPAN STYLE=\"word-break: break-all;\"> a game is played by selecting one bill at random from a bag that contains ten $1 bills, five $2 bills, three $5 bills, and one $10 bill, and one $100 bill. The player gets to keep the selected bill. There is  a $20 charge to play the game. What is the expected value? what does this value mean? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #136134 by </B><A HREF=/tutors/aboutme.mpl?userid=Mathtut><B>Mathtut(3670)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Mathtut><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=136134\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> P(1)=10/10=1/2<BR>\n" );
document.write( "P(2)=5/20=1/4<BR>\n" );
document.write( "P(5)=3/20<BR>\n" );
document.write( "P(10=1/20<BR>\n" );
document.write( "P(100)=1/20<BR>\n" );
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document.write( "X(1)-payout if X is 1 <BR>\n" );
document.write( "X(2)-payout if X is 2<BR>\n" );
document.write( "X(5)-payout if X is 5<BR>\n" );
document.write( "X(10)payout if X is 10<BR>\n" );
document.write( "X(100)payout if X is 100<BR>\n" );
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document.write( "the probability of each event * the payout of each event is added all up to give the expected value of X\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=E%28X%29=5%2B9%2F4=+highlight%287.25%29 ALIGN=MIDDLE  ALT=\"E%28X%29=5%2B9%2F4=+highlight%287.25%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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