document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=382737>Question 382737</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I'm working on a homework assignment from my Topics in Mathematical Reasoning class and I've got an answer to this question, but there's no way for me to check the answer I have.\r<BR>\n" );
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document.write( "The question is:<BR>\n" );
document.write( "A full house in poker consists of three of one kind and two of another kind in a five-card hand.  For example, if a hand contains three Kings and two 5's, it is a full house.  If 5 cards are dealt at random from a standard deck of 52 cards, without replacement, determine the probability of getting three Kings and two 5's.\r<BR>\n" );
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document.write( "My answer is 1/108,290 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #271158 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=271158\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\">  If 5 cards are dealt at random from a standard deck of 52 cards, without replacement, determine the probability of getting three Kings and two 5's. <BR>\n" );
document.write( "My answer is 1/108,290<BR>\n" );
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document.write( "Ways to succeed:<BR>\n" );
document.write( "Pick 3 kings: 4C3 = 4<BR>\n" );
document.write( "Pick 2 5's: 4C2 = 6<BR>\n" );
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document.write( "Ways to succeed = 4*6 = 24<BR>\n" );
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document.write( "Total number of 5-card hands: 52C5<BR>\n" );
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document.write( "P(3K and 2 5's) = 24/52C5 = 0.0000092345 = 1/108,290<BR>\n" );
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document.write( "You have it.<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
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