The fraction of time that particles are in any state is often referred to as the
probability of that state.
a. There are two molecules in the vessel. What is the probability that both
molecules will be in the left half of the vessel?
b. What is the probability that the molecules will be in different halves of the
vessel?
c. There are three molecules in the vessel. What is the probability that
two molecules will be in the left half of the vessel and that there will be no
molecules in the left half of the vessel?