document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=199708>Question 199708</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/9780321458209/algebrahomeworkh>Using and Understanding Mathematics A Quantitative Reasoning Approach</A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> find the probability of the given event:  Being dealt 5 cards from a standard 52-card deck, and the cards are a 10, jack, queen, king, and ace, all of the same suit. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #150083 by </B><A HREF=/tutors/aboutme.mpl?userid=solver91311><B>solver91311(24713)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=solver91311><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=solver91311><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=150083\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <font face=\"Garamond\" size=\"+2\">\r<BR>\n" );
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document.write( "My apologies to rfer(78), but I must point out that his/her solution to this problem is incorrect.\r<BR>\n" );
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document.write( "There are exactly 4 five card hands that fit the criteria for a royal flush, that is, an Ace-high straight flush, namely 10-J-Q-K-A in each of the four suits.\r<BR>\n" );
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document.write( "The number of possible 5 card hands that can be dealt from a standard 52 card deck is the number of combinations of 52 things taken 5 at a time:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ _{52}C_5 = \frac{52!}{5!(52-5)!} = 2,598,960\">\r<BR>\n" );
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document.write( "So the probability of a royal flush is:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ \frac{4}{2,598,960} \approx 0.00000154 = 0.000154%\">\r<BR>\n" );
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document.write( "John<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE e^{i\pi} + 1 = 0\"><BR>\n" );
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