document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=402745>Question 402745</A>: <I><SPAN STYLE=\"word-break: break-all;\"> You've answered the question regarding the probability of a yarborough in bridge. What is the probability that the highest ranking card is a 7? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #284878 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=284878\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> a yarborough is a 13-card hand containing only cards numbered 2 through 9. <BR>\n" );
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document.write( "What is the probability that the highest ranking card is a 7?<BR>\n" );
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document.write( "# of cards that are 2 through 7 = 6*4 = 24<BR>\n" );
document.write( "# of cards that are 2 through 9 = 8*4 = 32<BR>\n" );
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document.write( "# of yarborough hands = 32C13 <BR>\n" );
document.write( "# of yarborough hands with max card = 7 is 24C13\r<BR>\n" );
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document.write( "Assuming you have a yarborough the answer is 24C13/32C13 = 0.007<BR>\n" );
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document.write( "Assuming no conditions the prob of having yarboroug<BR>\n" );
document.write( "with max card = 7 is 24C13/52C13 = 0.000003931...<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
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