document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=249623>Question 249623</A>: <I><SPAN STYLE=\"word-break: break-all;\">  If a gambler rolls two dice and gets a sum of 10, he wins 10 dollars and if he gets a sum of 3, he wins 20 dollars. The cost to play is 5 dollars. 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 #181768 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=181768\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> If a gambler rolls two dice and gets a sum of 10, he wins 10 dollars and if he gets a sum of 3, he wins 20 dollars. The cost to play is 5 dollars. What is the expected value of the game?<BR>\n" );
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document.write( "sum of 10: 55,64,46: 3/36<BR>\n" );
document.write( "sum of 3: 12,21: 2/26<BR>\n" );
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document.write( "Random number values (winner's gains): -5, 5, 15<BR>\n" );
document.write( "Corresponding probabilities are: 31/36 , 3/36 , 2/36<BR>\n" );
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document.write( "E(x) = -5(31/36)+5(2/36)+15(2/36) = (-155+10+30)/36 = -115/36 = -$3.19<BR>\n" );
document.write( "The gambler can expect to lose $3.19 each time he plays the game.<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
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