document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=209866>Question 209866</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A committee of three is selected at random from a set consisting of five Democrats, eight Republicans,and two Independents.<BR>\n" );
document.write( "(a) What is the probability that the committee consists of all Democrats?<BR>\n" );
document.write( "(b) What is the probability that the committee consists of no Republicans? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #158637 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=158637\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A committee of three is selected at random from a set consisting of five Democrats, eight Republicans,and two Independents.<BR>\n" );
document.write( "(a) What is the probability that the committee consists of all Democrats?<BR>\n" );
document.write( "# of ways to select 3 Democrats: 5C3 = 10<BR>\n" );
document.write( "# of ways to pick 3 from the group: 15C3 = 455<BR>\n" );
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document.write( "P(pick 3 Demoncrats) = 10/455<BR>\n" );
document.write( "============================================<BR>\n" );
document.write( "(b) What is the probability that the committee consists of no Republicans?<BR>\n" );
document.write( "# of ways to pick no Republicans: 7C3<BR>\n" );
document.write( "# of ways to pick 3 from the group: 15C3<BR>\n" );
document.write( "P(pick 3 that are not Republicans) = 7C3/15C3 = 35/455<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );