document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=628467>Question 628467</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Five cards are down in succession from a deck of 52 playing cards and after each card is drawn it is not replaced in the deck. What is the probability that all five cards are of the same suit?<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #395697 by </B><A HREF=/tutors/aboutme.mpl?userid=nerdybill><B>nerdybill(7384)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=nerdybill><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=nerdybill><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=395697\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Five cards are down in succession from a deck of 52 playing cards and after each card is drawn it is not replaced in the deck. What is the probability that all five cards are of the same suit?<BR>\n" );
document.write( "first card: 13/52 = 1/4<BR>\n" );
document.write( "second card: 12/51 = 4/17<BR>\n" );
document.write( "third card: 11/50<BR>\n" );
document.write( "fourth card: 10/49<BR>\n" );
document.write( "fifth card: 9/48<BR>\n" );
document.write( "probability:<BR>\n" );
document.write( "1/4 * 4/17 * 11/50 * 10/49 * 9/48 <BR>\n" );
document.write( "= 1/4 * 1/17 * 11/50 * 10/49 * 9/12<BR>\n" );
document.write( "= 1/4 * 1/17 * 11/50 * 5/49 * 9/6<BR>\n" );
document.write( "= 1/4 * 1/17 * 11/10 * 1/49 * 9/6<BR>\n" );
document.write( "= 0.002 = .2% </SPAN>\n" );
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