document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=264403>Question 264403</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A group of 10 people consists of 5 men and 5 women. A committee of 4 is chosen from this group. What is the probability that one or more of the committee members is a man? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #194678 by </B><A HREF=/tutors/aboutme.mpl?userid=drk><B>drk(1908)</B></A><img src=\"/images/stars/stars-12.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=drk><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=194678\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> It would be easier to say 1 - P(0 men).<BR>\n" );
document.write( "So, of the 4 men we need 0 men<BR>\n" );
document.write( "and of the 4 women, we want 4 women<BR>\n" );
document.write( "in combinations, we get<BR>\n" );
document.write( "(5c0)(5c4) /(10c4)<BR>\n" );
document.write( "this is<BR>\n" );
document.write( "(1)(5) / 210<BR>\n" );
document.write( "and reduced get<BR>\n" );
document.write( "1/42, but we need 1 - this or<BR>\n" );
document.write( "1 - 1/42 = 41/42 </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );