document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=464941>Question 464941</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A company manager wants to hire 4 people from a group of 10 applicants, 4 men and 6 women, all of whom are equally qualified to fill the position. If he selects the four at random, what is the probability that <BR>\n" );
document.write( "i.	All four will be women<BR>\n" );
document.write( "ii.	At least two will be men?<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #318510 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=318510\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 4 men, 6 women<BR>\n" );
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document.write( "i) <BR>\n" );
document.write( "6C4/10C4<BR>\n" );
document.write( "=15/210<BR>\n" );
document.write( "=1/14 probability of 4 w.<BR>\n" );
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document.write( "ii)<BR>\n" );
document.write( "(6C3 * 4C1)=8/21 Probability of 3 w and 1 m.<BR>\n" );
document.write( "1-(1/14 + 8/21)=<BR>\n" );
document.write( "1 - 19/42<BR>\n" );
document.write( "23/42 Probability at least two will be men.<BR>\n" );
document.write( ".<BR>\n" );
document.write( "Ed </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );