In a study of marriages, researchers examined the faithfulness of men and the survival of the marriage. The results for 5,000 marriages were as follows:
Faithful(F) Unfaithful(F')
Divorce (D) 1300 1200 2500
No Divorce (D') 1700 800 2500
3000 2000 5000
If an individual man is selected at random, what is the probability that he or she
a) is divorced?
b) is divorced given that he was faithful?
c) is divorced and unfaithful?
d) is divorced and unfaithful?
e) Is there a relationship between faithfulness and divorce?