document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=903554>Question 903554</A>: <I><SPAN STYLE=\"word-break: break-all;\"> If I have a 52 card deck, there are 4 suits in a deck with 13 of each suit, if I draw out five cards one time what is the probability that all of the five cards will be the same suit?\r<BR>\n" );
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document.write( "I have attempted this using p=(AnB) * (BnA | AnB) etc<BR>\n" );
document.write( "Ending with 5/52 * 4/51 * 3/50 * 2/49 * 1/48<BR>\n" );
document.write( "120/375,523,200<BR>\n" );
document.write( "I don't think this is correct, I then stumbled upon the equation of<BR>\n" );
document.write( "nCr=4*13C5<BR>\n" );
document.write( "I do not know if I am even close and would just like to have some help understanding what equation to use or what formula and how to plug in the numbers . I would appreciate any help I could get. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #548136 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=548136\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> If I have a 52 card deck, there are 4 suits in a deck with 13 of each suit, if I draw out five cards one time what is the probability that all of the five cards will be the same suit?<BR>\n" );
document.write( " I have attempted this using p=(AnB) * (BnA | AnB) etc<BR>\n" );
document.write( " Ending with 5/52 * 4/51 * 3/50 * 2/49 * 1/48<BR>\n" );
document.write( " 120/375,523,200<BR>\n" );
document.write( " I don't think this is correct, I then stumbled upon the equation of<BR>\n" );
document.write( " nCr=4*13C5<BR>\n" );
document.write( " I do not know if I am even close and would just like to have some help understanding what equation to use or what formula and how 960960to plug in the numbers . I would appreciate any help I could get.<BR>\n" );
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document.write( "Method::<BR>\n" );
document.write( "Choose a card suit:: 4 ways<BR>\n" );
document.write( "Choose 5 cards from that suit of 13 cards:: 13C5 = 1287<BR>\n" );
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document.write( "So # of ways to succeed = 4*1287 = 5148 ways<BR>\n" );
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document.write( "# of random sdts of 5 cards = 52C5 = 2598960<BR>\n" );
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document.write( "Ans:: 1287/2598960<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
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