A Small Ferryboat Transports Vehicles from One Island to Another

Essay

A small ferryboat transports vehicles from one island to another, and the order the vehicles arrive will lead to slightly different placement on the ferry. Consider the chance experiment where the type of vehicle--passenger (P) or recreational (R) vehicle--is recorded for each of the next two vehicles that arrive at the dock.
a) List all the events in the sample space.
b) Using your sample space in part (a), list the outcomes for each of the following events:
A = the event that both vehicles are passenger cars
B = the event that both vehicles are of the same type
C = the event that there is at least one passenger car A: B: C:
c) Display the sample space in the form of a tree diagram.