SOLUTION: Sec 12.5 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.

Question 493974: Sec 12.5
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.
a) Determine the number of points 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 motion.
The tree diagram is what I am having the most difficulty with. I just do not understand how to do them.
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 can vote.
a) Determine the number of point in the sample space.
Ans: 3^3= 27
--------------------
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
--------------
The "tree" has 3 roots; 9 branches; 27 leaves
-------
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
================
Cheers,
Stan H.

RELATED QUESTIONS
At a homeowners association meeting, a board member can vote yes, vote no, or abstain on... (answered by stanbon)

At a homeowners' association meeting, a board member can vote yes, vote no, or abstain on (answered by stanbon)

A homeowner's association meeting, a board member can vote yes vote no or abstain from a... (answered by jim_thompson5910)

At a HOA meeting, a board member can vote ye, no, or abstain on a motion. There are two... (answered by solver91311)

At an annual board meeting company X is deciding whether or not to take the company... (answered by ikleyn)

At an annual board meeting company X is deciding whether or not to take the company... (answered by CPhill,ikleyn)

A committee of 9 members is voting on a proposal. Each member casts a yea or nay vote. On (answered by edjones)

1. A community of 9 members is voting on a proposal. Each member casts a yea or ney... (answered by stanbon)

A commitee of 15 members is voting on a proposal each member casts a yay or a nay vote.... (answered by stanbon)