document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1145578>Question 1145578</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A game costs $3.00 to play. A player can win $1.00, $5.00, $10.00, or nothing at all. The probability of winning $1.00 is 40%, $5.00 is 20%, and $10.00 is 5%. \r<BR>\n" );
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document.write( "b) Calculate the expected value for this game\r<BR>\n" );
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document.write( "c) is it fair game? is so why? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #766902 by </B><A HREF=/tutors/aboutme.mpl?userid=solver91311><B>solver91311(24713)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=solver91311><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=solver91311><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=766902\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <font face=\"Times New Roman\" size=\"+2\">\r<BR>\n" );
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document.write( "If you win $1 40% of the time, $5 20% of the time, and $10 5% of the time, then you win nothing 35% of the time.  But since you pay $3 to play every time, you lose $3 35% of the time, $2 40% of the time and you win $2 20% of the time and $7 5% of the time.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \  0.35\ \times\ -3.00\ =\ -1.05\">\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \  0.40\ \times\ -2.00\ =\ -0.80\">\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \  0.20\ \times\ \ \,2.00\ =\ 0.40\">\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \  0.05\ \times\ \ \,7.00\ =\ 0.35\">\r<BR>\n" );
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document.write( "Minus a buck five minus 80 cents plus 40 cents plus 35 cents is minus a buck ten.\r<BR>\n" );
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document.write( "<i>Sucker Bet</i><BR>\n" );
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document.write( "John<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE e^{i\pi}\ +\ 1\ =\ 0\"><BR>\n" );
document.write( "My calculator said it, I believe it, that settles it<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large \ \\r\"> </SPAN>\n" );
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