Patients arriving at a hospital outpatient clinic can select one of three stations for service. Suppose that physicians are assigned randomly to the stations and that the patients therefore have no station preference. Three patients arrive at the clinic and their selection of stations is observed.
a. List the sample points for the experiment.
b. Let A be the event that each station receives a patient. List the sample points in A.
c. Make a reasonable assignment of probabilities to the sample points and find P(A).