Suppose we have the following Omega set for the cast of a major Shakespearean production. Here, for the r.v. Role, 1 represents a leading role and 2 represents a secondary role. Suppose a candidate is randomly picked for a role in the play.

RoleGender	Female	Male	Sigmas
1	7	3	10
2	28	12	40
Sigmas	35	15	50

The P(Female) = [ Select ] [".7", ".1", ".35", "1.8"] whilst P(Role 1 | Female) = [ Select ] [".7", ".8", ".2", ".35"] , and P(Female | Role 1) = [ Select ] [".7", ".3", ".35", ".8"] . Looking at these probabilities we can see that the outcomes Female and Role 1 are [ Select ] ["independent", "dependent", "can't tell"] , since the the probability of the first is [ Select ] ["not affected", "affected", "infected", "respected"] by the second, and vice versa.