document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=64704>Question 64704</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/0321112504/algebrahomeworkh>A Survey of Mathematics</A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> Find the probability of getting  A full house in poker consists of three of a kind, in a five card hand, if 5 cards are dealt at random from a standard deck of 52. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #45274 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=45274\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Find the probability of getting  A full house in poker consists of three of a kind, in a five card hand, if 5 cards are dealt at random from a standard deck of 52.<BR>\n" );
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document.write( "Comment: I think a full house is 3 of one type of card and 2 of another type.<BR>\n" );
document.write( "Pick a type of card: 13 ways<BR>\n" );
document.write( "Pick 3 of that type of card: 4C3=4 ways<BR>\n" );
document.write( "Pick a different type of card: 12 ways<BR>\n" );
document.write( "Pick 2 of that type: 4C2=6<BR>\n" );
document.write( "# of \"full-house hands\" = 13*4*12*6=3744<BR>\n" );
document.write( "# of 5 card hands: 52C5=2598960<BR>\n" );
document.write( "Prob(full house)= 3744/2598960=0.00144057...<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
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