document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=626676>Question 626676</A>: <I><SPAN STYLE=\"word-break: break-all;\"> If a gambler rolls two dice and gets a sum of 10, he wins $10, and if he gets a sum of three, he wins $20. The cost to play the game is $5. What is the expected value 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 #394378 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=394378\">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, and if he gets a sum of three, he wins $20. The cost to play the game is $5. What is the expected value of this game?<BR>\n" );
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document.write( "Random \"winning\" values::::::: 5 ::::: 15 ::::: -5<BR>\n" );
document.write( "Corresponding probabilities::: 3/36::: 2/36:::: 31/36<BR>\n" );
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document.write( "Expected \"winnings\"::: [3*5 + 2*15 -5*31]/36 = -$3.06<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.  <BR>\n" );
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