Question 493974
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.
a) Determine the number of point in the sample space.
Ans: 3^3= 27
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b)Construct a tree diagram and determine the sample space, ---
Column 1: List board members A,B,C
Column 2: To the right of each of A,B and C put the 3 motions, a,b,c
Column 3: To the right of each motion put yes,no,abstain
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The "tree" has 3 roots; 9 branches; 27 leaves
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Determine the probability that a board member votes:
 
c) no, yes, no in that order
Each board member can do that once.
Ans: 3/27 
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Cheers,
Stan H.