At a​ homeowners' association​ meeting, a board member can vote yes or on a motion.

There are three motions on which each board member must vote. Complete parts ​(​a) through ​(c) below.
​(a) Determine the number of points in the sample space.

​(b) Determine the probability that a board member votes yes on exactly two of the motions.

​(c) Determine the probability that a board member votes yes on at least one motion.