document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1169929>Question 1169929</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A Random Sample of 4 Members of a members a 150 members club has shown that 3 prefer no smoking in the club house dining room. What is the probability that this will occur if in fact only 20% of members prefer no smoking in the dining room. Answer=0.0240 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #794811 by </B><A HREF=/tutors/aboutme.mpl?userid=Boreal><B>Boreal(15235)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Boreal><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=Boreal><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=794811\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 4 ways for this to occur.<BR>\n" );
document.write( "(30/150)(29/149)(28/148)(120/147)--the other three ways have the same numbers but ordered differently.<BR>\n" );
document.write( "so 4* the above is 0.0240\r<BR>\n" );
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document.write( "or 30C3*120C1/150C4, which gives the same results<BR>\n" );
document.write( "notice how the parts before the C add to 150 on top and after add to 4 on the bottom. That's what you try to set up in a hypergeometric distribution.<BR>\n" );
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