document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1022342>Question 1022342</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Suppose a standard six-sided die is rolled and you receive $0.50 for every dot showing on the top of the die. What should be the cost of playing the game be in order to make it a fair game? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #638080 by </B><A HREF=/tutors/aboutme.mpl?userid=richard1234><B>richard1234(7193)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=richard1234><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=richard1234><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=638080\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Assuming a \"fair game\" has expected payoff zero, the expected number of dots is\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\large \frac{1}{6} \times 1 + \frac{1}{6} \times 2 + \ldots + \frac{1}{6} \times 6\">\r<BR>\n" );
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document.write( "which is equal to\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\large \frac{1}{6}\left( 1+2+3+4+5+6 \right) = 3.5\">\r<BR>\n" );
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document.write( "Then 3.5 * $0.50 = $1.75 should be charged. </SPAN>\n" );
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