document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1101324>Question 1101324</A>: <I><SPAN STYLE=\"word-break: break-all;\"> In hospital, there are 12 nurses and 4 doctors. If a committee contains 6 persons, what is the probability that two doctors in this committee?  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #715888 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=715888\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\">  In hospital, there are 12 nurses and 4 doctors. If a committee contains 6 persons, what is the probability that two doctors in this committee? <BR>\n" );
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document.write( "# of ways to pick 2 doctors:: 4C2 = 6<BR>\n" );
document.write( "# of ways to pick 4 nurses:: 12C4 = (12*11*10*9)/(1*2*3*4) = 99*5 = 495<BR>\n" );
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document.write( "# of committies with 2 docs and nurses = 6*495<BR>\n" );
document.write( "# of random committies with 6 persons = 16C6<BR>\n" );
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document.write( "P(condition) = (6*495)/16C6 = (6*495)/8008 = 0.3709<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
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