Question 444188: 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.
a) determine the number of points in the sample space
b) construct a tree diagram and determine the sample space. Determine the probability that the board member votes
c) no, yes, no in that order
d) yes on exactly two of the motions
e) yes on at least one motion
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! 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.
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Comment: I am assuming "must vote" includes the member may abstain.
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a) determine the number of points in the sample space
Ans: 3*3 = 9
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b) construct a tree diagram and determine the sample space.
motion #1: 1y;1n;1? //motion #2: 2y:2n;2? //motion #3: 3y;3n;3?
Determine the probability that the board member votes
c) no, yes, no in that order::1/9
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d) yes on exactly two of the motions::2/9
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e) yes on at least one motion: 1 -P(all abstain or all "no") = 1-2/9 = 7/9
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Cheers,
Stan H.
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