document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=509903>Question 509903</A>: <I><SPAN STYLE=\"word-break: break-all;\"> here is the problem-<BR>\n" );
document.write( "A bowl contains 9 red marbles, 5 white marbles, and 3 blue marbles.  If a person selects one marble from the bowl at random and draws a red marble, they lose $1.00.  If a white marble is selected, they win $2.00, and if a blue one is selected, they win $3.00.  WHat is the expected profit or loss for a person playing this game?\r<BR>\n" );
document.write( "\n" );
document.write( "I have done this a few different ways and am still not sure of what the question is really asking me. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #341649 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=341649\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <font face=\"Times New Roman\" size=\"+2\">\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "The probability of drawing a red is <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large \frac{9}{17}\">, hence the payout for drawing a red is <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large \frac{9}{17}\ \times\ -1.00\ =\ -\frac{9}{17}\">\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "The probability of drawing a white is <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large \frac{5}{17}\">, hence the payout for drawing a white is <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large \frac{5}{17}\ \times\ 2.00\ =\ \frac{10}{17}\">\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "The probability of drawing a blue is <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large \frac{3}{17}\">, hence the payout for drawing a blue is <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large \frac{3}{17}\ \times\ 3.00\ =\ \frac{9}{17}\">\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "The overall expected payout is the sum of the three expected payouts caluclated above:\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ -\frac{9}{17}\ +\ \frac{10}{17}\ +\ \frac{9}{17}\ =\ \frac{10}{17}\ \approx\ $0.588\">.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "So what does that mean?  If the owner of the game charges you $0.58 or less each time you play, then go for it (as long as the game owner can afford to run his loser, that is). On the other hand, if it costs $0.59 or more to play, walk away -- it is a loser for the player.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
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" );
document.write( "<div  DISABLED_style= \"text-align:center\"><a  rel=nofollow HREF=\"http://outcampaign.org/\" target=\"_blank\"><IMG STYLE=\"max-width:80%;\" src=\"http://cdn.cloudfiles.mosso.com/c116811/scarlet_A.png\" border=\"0\" alt=\"The Out Campaign: Scarlet Letter of Atheism\" width=\"143\" height=\"122\" /></a></div><BR>\n" );
document.write( "</font> </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );