document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=990340>Question 990340</A>: <I><SPAN STYLE=\"word-break: break-all;\"> if the payoff of rolling two dice is the sum of the upper face of the two dice, what is the expected payoff of one roll of the two dice? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #610378 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=610378\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> It is symmetric around the number 7.<BR>\n" );
document.write( "(1/36)*2=2/36<BR>\n" );
document.write( "(2/36)*3=6/36<BR>\n" );
document.write( "(3/36)*4=12/36<BR>\n" );
document.write( "(4/36)*5=20/36<BR>\n" );
document.write( "(5/36)*6=30/36<BR>\n" );
document.write( "(6/36)*7=42/36<BR>\n" );
document.write( "(5/36)*8=40/36<BR>\n" );
document.write( "(4/36)*9=36/36<BR>\n" );
document.write( "(3/36)*10=30/36<BR>\n" );
document.write( "(2/36)*11=22/36<BR>\n" );
document.write( "(1/36)*12=12/36<BR>\n" );
document.write( "sum of all of these values * probability of each is the expected value.<BR>\n" );
document.write( "This adds to 252/36=7. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );