document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1166377>Question 1166377</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Five cards are drawn from a standard deck without replacement. What is the probability that at least one of the cards is a club </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #790878 by </B><A HREF=/tutors/aboutme.mpl?userid=greenestamps><B>greenestamps(13200)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=greenestamps><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=greenestamps><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=790878\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <br><BR>\n" );
document.write( "The opposite of \"at least one card is a club\" is \"no cards are clubs\".  So the probability that at least one is a club is 1 minus the probability that none are clubs.<br><BR>\n" );
document.write( "The probability that the first card drawn is not a club is 39/52;<BR>\n" );
document.write( "the probability that the second is not a club is 38/51;<BR>\n" );
document.write( "...<br><BR>\n" );
document.write( "The probability that none of the five cards drawn is a club is<br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2839%2F52%29%2838%2F51%29%2837%2F50%29%2836%2F49%29%2835%2F48%29 ALIGN=MIDDLE  ALT=\"%2839%2F52%29%2838%2F51%29%2837%2F50%29%2836%2F49%29%2835%2F48%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "And then the probability that at least one is a club is 1 minus that number.<br><BR>\n" );
document.write( "Use a calculator if you need to get a simplified answer.<br><BR>\n" );
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