document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1176486>Question 1176486</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find the expected value.\r<BR>\n" );
document.write( "\n" );
document.write( "If a player rolls two dice and gets a sum of 11, he wins $ 20. if he gets a sum of 7 he wins $ 5. The cost to play the game is $ 3. Find the expectation of the game ?\r<BR>\n" );
document.write( "\n" );
document.write( "I wrote out the sample space and built a table based on gain and solved for the mean, but did not find the correct answer. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #803575 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=803575\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> probability of a 7 is 1/6 and 1/6* $5=$0.83<BR>\n" );
document.write( "probability of an 11 is 1/18 and that *$20=$1.11<BR>\n" );
document.write( "The plus expectation is the sum or $1.94<BR>\n" );
document.write( "The minus expectation is playing the game, or $3<BR>\n" );
document.write( "the result is a negative -$1.06. I made it more complex than I needed to.<BR>\n" );
document.write( "-<BR>\n" );
document.write( "7---------1/6-----$5-----$0.83<BR>\n" );
document.write( "11--------1/18----$20----$1.11<BR>\n" );
document.write( "cost ------1-------$3<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );