document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=313457>Question 313457</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Elizabeth has 12 female friends and 10 male friends. If she is having an eight-person party, what is the probability that there will be 5 girls and 3 boys, if she chooses people at random? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #224119 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=224119\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Elizabeth has 12 female friends and 10 male friends. If she is having an eight-person party, what is the probability that there will be 5 girls and 3 boys, if she chooses people at random?<BR>\n" );
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document.write( "# of ways to select 5 girls: 12C5<BR>\n" );
document.write( "# of ways to select 3 boys: 10C3<BR>\n" );
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document.write( "# of ways to select 8 people randomly: 22C8<BR>\n" );
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document.write( "P(5 girls and 3 boys) = [12C5*10C3]/[22C8] = 0.2972<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
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