document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=279849>Question 279849</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A committee of two is selected at random from a set consisting of three Democrats, four Republicans and one Independent.\r<BR>\n" );
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document.write( "(a)	What is the probability that the committee consists of no Republicans?\r<BR>\n" );
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document.write( "(b)	What is the probability that the committee consists of all Republicans? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #203397 by </B><A HREF=/tutors/aboutme.mpl?userid=solver91311><B>solver91311(24713)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=solver91311><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=solver91311><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=203397\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <font face=\"Garamond\" size=\"+2\">\r<BR>\n" );
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document.write( "There are 4 ways out of 8 to select other than a Republican for the first position on the committee.  Once the first position has been filled and it is known that it is not a Republican, then there remain 3 ways out of 7 to select other than a Republican, hence the Probability of no Republicans is:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ \left(\frac{1}{2}\right)\left(\frac{3}{7}\right)\ =\ \left(\frac{3}{14}\right)\">\r<BR>\n" );
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document.write( "The other part of this problem is left as an exercise for the student. \r<BR>\n" );
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document.write( "<b><i>Super Double Plus Extra Credit</i></b>:  What is the probability of exactly 1 Republican? Remember, sometimes it is easier to find the probability of anything else happening and then subtract from 1.\r<BR>\n" );
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document.write( "John<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE e^{i\pi} + 1 = 0\"><BR>\n" );
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