document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=299734>Question 299734</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Suppose I am rolling 2 dice. If the total of the roll comes out to an odd number I must pay $1.00. If the total is 7 or 11 I am paid $5.00. What is the expected value of the game? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #215299 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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=215299\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Suppose I am rolling 2 dice. If the total of the roll comes out to an odd number I must pay $1.00. <BR>\n" );
document.write( "If the total is 7 or 11 I am paid $5.00. <BR>\n" );
document.write( "What is the expected value of the game?<BR>\n" );
document.write( "------<BR>\n" );
document.write( "Let x be the random number of \"winnings\".<BR>\n" );
document.write( "x = +1, Or +5<BR>\n" );
document.write( "P(x) = 1/2 , Or 6/36+ 2/36 = 8/36 = 2/9<BR>\n" );
document.write( "------<BR>\n" );
document.write( "E(x) = (1/2)1 + (2/9)5<BR>\n" );
document.write( "---<BR>\n" );
document.write( "= (1/2) + 10/9<BR>\n" );
document.write( "= 29/18 = $1.61<BR>\n" );
document.write( "====================<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( "====================  </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );