document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1204574>Question 1204574</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Suppose that in a casino game the payout is a random variable X. If X is positive, you gain money, if negative, you lose. Let p(i) = P(X = i) and suppose that<BR>\n" );
document.write( "p(0)= 1/4, p(1)=p(-1)= 147/520, p(2)=p(-2)= 9/104 and p(3)=p(-3) = 3/520.<BR>\n" );
document.write( "   Given that a player playing the game wins a positive amount, compute the conditional probability that...<BR>\n" );
document.write( "... X = 1: ?\r<BR>\n" );
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document.write( "... X = 2: ?\r<BR>\n" );
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document.write( "... X = 3: ?\r<BR>\n" );
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document.write( "Could you please answer my question above? <BR>\n" );
document.write( "I tried something like this but I am not sure about adding 0:<BR>\n" );
document.write( "P(0)+P(1)+P(2)+P(3)=325/520<BR>\n" );
document.write( "X=1 -> 147/325<BR>\n" );
document.write( "X=2 -> 9/65<BR>\n" );
document.write( "X=3 -> 3/325\r<BR>\n" );
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document.write( "Thank you very much for your effort!\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 #840914 by </B><A HREF=/tutors/aboutme.mpl?userid=ikleyn><B>ikleyn(52814)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ikleyn><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=ikleyn><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=840914\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> .\r<BR>\n" );
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document.write( "&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;It is interesting:\r<BR>\n" );
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document.write( "In common use in English language, zero is unsigned, that is, it is neither positive nor negative. \r<BR>\n" );
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document.write( "In typical French mathematical usage, zero is both positive and negative.\r<BR>\n" );
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document.write( "Source:\r<BR>\n" );
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document.write( "https://math.stackexchange.com/questions/26705/is-zero-positive-or-negative#:~:text=In%20common%20use%20in%20English,is%20both%20positive%20and%20negative.\r<BR>\n" );
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document.write( "I wrote this my notice above not to disprove somebody' solution, <BR>\n" );
document.write( "but only to show that in Math, some basic notions/conceptions are based on existing agreements,<BR>\n" );
document.write( "not only on axioms.  It may seem, that at this circumstances, Math can not exist<BR>\n" );
document.write( "as whole logical construction - nevertheless, it DOES EXIST.\r<BR>\n" );
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document.write( "Probably, there are some footprints in your education from French math,<BR>\n" );
document.write( "since you are not confident, if 0 (zero) is positive or not.\r<BR>\n" );
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