Consider the chance experiment in which an automobile is selected and both the number of defective headlights (0, 1, or 2) and the number of defective tires (0, 1, 2, 3, or 4) are determined.

a. Display possible outcomes using a tree diagram.

b. Let A be the event that at most one headlight is defective and B be the event that at most one tire is defective. What outcomes are in A^C? in A ∪ B? in A ∩ B?

c. Let C denote the event that all four tires are defective. Are A and C disjoint events? Are B and C disjoint?