document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=493974>Question 493974</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Sec 12.5<BR>\n" );
document.write( "20.  Voting At a homeowners’ association meeting, a board member can vote yes, vote no, or abstain on a motion. There are three motions on which a board member must vote.<BR>\n" );
document.write( "  a) Determine the number of points in the sample space.	<BR>\n" );
document.write( "  b) Construct a tree diagram and determine the sample space. Determine the probability that a board member votes<BR>\n" );
document.write( "  c) no, yes, no in that order.<BR>\n" );
document.write( "  d) yes on exactly two of the motions.<BR>\n" );
document.write( "  e) yes on at least one motion.<BR>\n" );
document.write( "The tree diagram is what I am having the most difficulty with.  I just do not understand how to do them. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #335531 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=335531\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> At a homeowners association meeting, a board member can vote yes, vote no, or abstain on a motion. There are three motions on which a board member can vote.<BR>\n" );
document.write( "a) Determine the number of point in the sample space.<BR>\n" );
document.write( "Ans: 3^3= 27<BR>\n" );
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document.write( "b)Construct a tree diagram and determine the sample space, ---<BR>\n" );
document.write( "Column 1: List board members A,B,C<BR>\n" );
document.write( "Column 2: To the right of each of A,B and C put the 3 motions, a,b,c<BR>\n" );
document.write( "Column 3: To the right of each motion put yes,no,abstain<BR>\n" );
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document.write( "The \"tree\" has 3 roots; 9 branches; 27 leaves<BR>\n" );
document.write( "-------<BR>\n" );
document.write( "Determine the probability that a board member votes:<BR>\n" );
document.write( " <BR>\n" );
document.write( "c) no, yes, no in that order<BR>\n" );
document.write( "Each board member can do that once.<BR>\n" );
document.write( "Ans: 3/27 <BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.\r<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );