document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=218974>Question 218974</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 	If a gambler rolls two dice and gets a sum of 9, he wins $20, and if he gets a sum of 3, he wins $40. The cost to play the game is $5. What is the expectation (to the nearest cent) of this game? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #164789 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=164789\">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 9, he wins $20, and if he gets a sum of 3, he wins $40. The cost to play the game is $5. What is the expectation (to the nearest cent) of this game?<BR>\n" );
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document.write( "Let the random variable \"x\" be a count of gain for the gambler.<BR>\n" );
document.write( "X = 15, 35, -5<BR>\n" );
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document.write( "Sum of 9: (3,6),(4,5),(5,4)(6,3)<BR>\n" );
document.write( "P(sum of 9) = 4/36<BR>\n" );
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document.write( "Sum of 3: (1,2),(2,1)<BR>\n" );
document.write( "P(sum of 3) = 2/36<BR>\n" );
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document.write( "E(X) = 15(4/36) + 35(2/36)+(-5)(30/36)<BR>\n" );
document.write( "E(X) = [60 + 70 -150]/36 = -56 cents<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.  </SPAN>\n" );
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