document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=747801>Question 747801</A>: <I><SPAN STYLE=\"word-break: break-all;\"> On two rolls of a single die, you will lose $10 if a 4 turns up at least once, and you will win $3 otherwise. What is the expected value of the game?\r<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #455202 by </B><A HREF=/tutors/aboutme.mpl?userid=FrankM><B>FrankM(1040)</B></A><img src=\"/images/stars/stars-12.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=FrankM><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=FrankM><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=455202\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The chance of a 4 is 1 in 6.\r<BR>\n" );
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document.write( "In the 36 possible combinations, 6 times a 4 will be first, and 6 times a 4 will be second, so 12 rolls out of 36. But one of these are double counted, the 4,4 outcome. So it's really 11 rolls that contain a 4. The remaining 25 outcomes contain no 4.\r<BR>\n" );
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document.write( "11 * -$10 = -$110<BR>\n" );
document.write( "25 * $3   = $75\r<BR>\n" );
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document.write( "36 rolls produce -$35, or -$0.97 per roll.  </SPAN>\n" );
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