document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1210198>Question 1210198</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A standard deck of 52 cards has 13 ranks (Ace, 2, 3, 4, 5, 6, 7, 8, 9, 10, Jack, Queen, King) and 4 suits (spades, hearts, diamonds, and clubs), such that there is exactly one card for any given rank and suit.\r<BR>\n" );
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document.write( "You are dealt a hand of 13 cards.  Find the probability that your hand has a void.  (Your hand has a void if it does not contain any cards of a particular suit.)\r<BR>\n" );
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document.write( "Once you've computed the answer in terms of binomial coefficients, use a calculator or computer to determine the answer to the nearest tenth of a percent, and enter that as your answer. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #851551 by </B><A HREF=/tutors/aboutme.mpl?userid=greenestamps><B>greenestamps(13200)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=greenestamps><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=greenestamps><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=851551\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <br><BR>\n" );
document.write( "The number of 13-card hands is \"52 choose 13\", which (rounded) is 6.35x10^11.<br><BR>\n" );
document.write( "The number of 13-card hands that contains none of a particular one of the 4 suits is \"39 choose 13\", which is (rounded) 8.12x10^9.<br><BR>\n" );
document.write( "The probability that a 13-card hand contains none of one suit is then<br><BR>\n" );
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document.write( "which is 0.05116379....  As a percentage rounded to a tenth of a percent, that is...<br><BR>\n" );
document.write( "ANSWER: 5.1%<br><BR>\n" );
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