According to automobile accident statistics, one out of every six accidents results in an insurance claim of $100 or less in property damage. Three cars insured by an insurance company are involved in different accidents. Consider these two events:

A: The majority of claims exceed $100.

B: Exactly two claims are $100 or less.

a. List the sample points for this experiment.

b. Are the sample points equally likely?

c. Find P(A) and P(B).

d. Are events A and B independent? Justify your answer.