document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=548984>Question 548984</A>: <I><SPAN STYLE=\"word-break: break-all;\"> If you are dealt 5 cards from a standard 52 card deck, what is the probability that you get a full house, 3 of a kind and 2 of a kind (Example QQQ88)? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #357777 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=357777\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> If you are dealt 5 cards from a standard 52 card deck, what is the probability that you get a full house, 3 of a kind and 2 of a kind (Example QQQ88)?\r<BR>\n" );
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document.write( "Pick a card type: 13 ways<BR>\n" );
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document.write( "Pick 3 of that card type: 4C3 = 4<BR>\n" );
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document.write( "Pick a different card type: 12 ways<BR>\n" );
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document.write( "Pick 2 of that card type: 4C2 = 6 ways<BR>\n" );
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document.write( "# of ways to succeed: 13*4*12*6 = 3744<BR>\n" );
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document.write( "# of random 5 cards sets: 52C5 = 2598960<BR>\n" );
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document.write( "P(full house) = 3744/2598960 = 0.0014<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( "============ </SPAN>\n" );
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