document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=249076>Question 249076</A>: <I><SPAN STYLE=\"word-break: break-all;\"> If casino five card stud were fair, how much should it pay to a player who bets $10 and gets a straight flush versus a dealer who gets two pair? The odds against getting a straight flush in five card stud are about 64974 to 1. Thank you! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #181471 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=181471\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> If casino five card stud were fair, how much should it pay to a player who bets $10 and gets a straight flush versus a dealer who gets two pair? The odds against getting a straight flush in five card stud are about 64974 to 1.<BR>\n" );
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document.write( "With those odds against the probability of not getting a straight flush<BR>\n" );
document.write( "is 64974/64975<BR>\n" );
document.write( "The probability of getting a straight flush is 1/64975<BR>\n" );
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document.write( "Let x be the random variable tracking player earnings:<BR>\n" );
document.write( "x values are : -10 and x-10 where x is the amount paid the player if he<BR>\n" );
document.write( "gets a straight flush.<BR>\n" );
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document.write( "If the game is fair The expected value of the game is zero.<BR>\n" );
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document.write( "Equation:<BR>\n" );
document.write( "(64974/64975)*(-10) + (1/64975)(x-10) = 0<BR>\n" );
document.write( "---<BR>\n" );
document.write( "Multiply thru by 64975 to get:<BR>\n" );
document.write( "64974*(-10) + x-10 = 0<BR>\n" );
document.write( "x = 64975(10)<BR>\n" );
document.write( "---<BR>\n" );
document.write( "x = $640,970 (amt. the casino should pay if the customer gets a straight flush)<BR>\n" );
document.write( "==================<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( "   </SPAN>\n" );
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