document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=747455>Question 747455</A>: <I><SPAN STYLE=\"word-break: break-all;\"> a committee of 5 students is to be selected at random from a group consisting of 6 boys and 7 girls. what is the probability that at most three girls out of 5 will include 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 #454938 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=454938\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> a committee of 5 students is to be selected at random from a group consisting of 6 boys and 7 girls. what is the probability that at most three girls out of 5 will include in this committee?<BR>\n" );
document.write( "----<BR>\n" );
document.write( "P(at most 3) = 1 - [P(4) + P(5)]<BR>\n" );
document.write( "= 1 - [(7C4*6C1)/13C5 + (7C5)/13C5]<BR>\n" );
document.write( "-----<BR>\n" );
document.write( "= 1 - [(210+ 21)/1287]<BR>\n" );
document.write( "----<BR>\n" );
document.write( "= 1 - [0.1795]<BR>\n" );
document.write( "----<BR>\n" );
document.write( "= 0.8205<BR>\n" );
document.write( "=============<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );