The traffic that makes a left turn at an intersection consists of two types of vehicles, types A and B.

A type A vehicle is twice the length of type B. The left-turn lane can accommodate eight vehicles of type B, four of type A, or combinations of A and B. Define the sample space of all possible combinations of vehicles waiting for a left turn at the intersection. Also, define the following events: (1) at least one vehicle of type A waiting for a left turn, (2) two vehicles of type B waiting for a left turn, and (3) exactly one of type A and one of type B waiting for a left turn.