document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=411150>Question 411150</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The composition of the Senate of the 107 Congress is 49 Republicans, 1 Independent and 50 Democrats. A new committee is being formed to study ways to<BR>\n" );
document.write( "benefit the arts in education.If 3 Senators are selected at random to head the committee,what is the probability that there will be one from each party, including the Independent? \r<BR>\n" );
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document.write( "Please let me know the process for figuring out this problem, as well as the soluition. Thank you! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #289111 by </B><A HREF=/tutors/aboutme.mpl?userid=sudhanshu_kmr><B>sudhanshu_kmr(1152)</B></A><img src=\"/images/stars/stars-12.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=sudhanshu_kmr><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=sudhanshu_kmr><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=289111\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> \r<BR>\n" );
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document.write( "no. of ways to select 3 senators from total 100 = 100C3 = 161700  i.e n(S)\r<BR>\n" );
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document.write( "no. of ways to select 1 senators from each party = 50C1 * 49C1 * 1C1 = 2450<BR>\n" );
document.write( " i.e n(A)\r<BR>\n" );
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document.write( "probability that one senator from each party  P(A) = n(A)/n(S) \r<BR>\n" );
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document.write( "=   2450 /161700 \r<BR>\n" );
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document.write( "=0.0151515..<BR>\n" );
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