document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=616110>Question 616110</A>: <I><SPAN STYLE=\"word-break: break-all;\"> There are 10 people at a party, five men and five women. If four people are selected at random, what is the probability that two men and two women are selected? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #387496 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=387496\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> There are 10 people at a party, five men and five women. If four people are selected at random, what is the probability that two men and two women are selected?<BR>\n" );
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document.write( "# of ways to succeed: 5C2*5C2 = 10*10 = 100 ways<BR>\n" );
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document.write( "# of random sets of 4 people: 10C4 = 210<BR>\n" );
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document.write( "P(2men and 2 women) = 100/210 = 10/21<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
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