Question

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

Answer 1

Sample space:
yes, yes, yes
yes, yes, no
yes, no, yes
yes, no, no
no, yes, yes
no, yes, no
no, no, yes
no, no, no

Count the elements: 8

Do you understand this?

Answer 2

tree diagram. Do you understand this as well? Remember that you have three \(different\) motions, so order does matter.