document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=444188>Question 444188</A>: <I><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 must vote.\r<BR>\n" );
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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 the board member votes\r<BR>\n" );
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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 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #306278 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=306278\">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 must vote.<BR>\n" );
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document.write( "Comment: I am assuming \"must vote\" includes the member may abstain.<BR>\n" );
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document.write( "a) determine the number of points in the sample space<BR>\n" );
document.write( "Ans: 3*3 = 9<BR>\n" );
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document.write( "b) construct a tree diagram and determine the sample space. <BR>\n" );
document.write( "motion #1: 1y;1n;1? //motion #2: 2y:2n;2? //motion #3: 3y;3n;3?<BR>\n" );
document.write( "Determine the probability that the board member votes <BR>\n" );
document.write( "c) no, yes, no in that order::1/9<BR>\n" );
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document.write( "d) yes on exactly two of the motions::2/9<BR>\n" );
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document.write( "e) yes on at least one motion: 1 -P(all abstain or all \"no\") = 1-2/9 = 7/9<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( "=========== </SPAN>\n" );
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