SOLUTION: At a homeowners association meeting, a board member can vote yes, vote no, or abstain on a motion. There are three motion on which a board member can vote. a) Determine the number

Algebra ->  Probability-and-statistics -> SOLUTION: At a homeowners association meeting, a board member can vote yes, vote no, or abstain on a motion. There are three motion on which a board member can vote. a) Determine the number      Log On


   



Question 484321: At a homeowners association meeting, a board member can vote yes, vote no, or abstain on a motion. There are three motion on which a board member can vote.
a) Determine the number of point in the sample space.
b)Construct a tree diagram and determine the sample space, Determine the probability that a board member votes.
c) no, yes, no in that order
d)yes on exactly two of the motions
e)yes on at least one of the motions.
candleburner@verizon.net

Answer by stanbon(75887) About Me  (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 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, Determine the probability that a board member votes.
I'll leave that to you.
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c) no, yes, no in that order
Ans: 1/27
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d)yes on exactly two of the motions
Ans: 3/27 = 1/9
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e)yes on at least one of the motions.
Ans: 26/27
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Cheers,
Stan H.