document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=437553>Question 437553</A>: <I><SPAN STYLE=\"word-break: break-all;\"> If there are 30 pieces of paper in a hat and 4 of them have your name on them. What is the probability of drawing your name if you get to draw 2 pieces of paper at random. Order does not matter.\r<BR>\n" );
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document.write( "Once the first piece of paper is drawn, it is not added back into the hat. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #302706 by </B><A HREF=/tutors/aboutme.mpl?userid=edjones><B>edjones(8007)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=edjones><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=edjones><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=302706\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> nCr=combination of n things taken r at a time = n!/((n-r)!*r!)<BR>\n" );
document.write( "(4C0 * 26C2)/30C2<BR>\n" );
document.write( "26C2=26!/(24!*2!)=325<BR>\n" );
document.write( "30C2=30!/(28!*2)=435<BR>\n" );
document.write( "=325/435<BR>\n" );
document.write( "=65/87 Probability of your name not being drawn.<BR>\n" );
document.write( "1 - 65/87 = 22/87 the probability of drawing your name if you get to draw 2 pieces of paper at random.<BR>\n" );
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document.write( "Ed </SPAN>\n" );
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