document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=765214>Question 765214</A>: <I><SPAN STYLE=\"word-break: break-all;\"> What is the probability of getting a spade flush from a standard 52-card deck of cards?  (A spade flush is achieved by being dealt, without replacement, 5 consecutive spade cards).  \r<BR>\n" );
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document.write( "I know the chances of getting a spade are 13/52 or 1/4.  \r<BR>\n" );
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document.write( "Not certain how to write getting five consecutive spade cards.  Thanks. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #466014 by </B><A HREF=/tutors/aboutme.mpl?userid=rothauserc><B>rothauserc(4718)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=rothauserc><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=rothauserc><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=466014\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The key here is \"without replacement\", so<BR>\n" );
document.write( "probability of getting a spade on first draw is 13/52<BR>\n" );
document.write( "probability of getting a spade on second draw is 12/51<BR>\n" );
document.write( "probability of getting a spade on third draw is 11/50<BR>\n" );
document.write( "probability of getting a spade on fourth draw is 10/49<BR>\n" );
document.write( "probability of getting a spade on second draw is 9/48<BR>\n" );
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document.write( "So 13/52 x 12/51 x 11/50 x 10/49 x 9/48 = .000495198 is the probability of drawing 5 spades in a row without replacement<BR>\n" );
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