are venn diagrams independent events?
Independent Events Venn Diagram Theorem: If X and Y are independent events, then the events X and Y' are also independent. Proof: The events A and B are independent, so, P(X ∩ Y) = P(X) P(Y). From the Venn diagram, we see that the events X ∩ Y and X ∩ Y' are mutually exclusive and together they form the event X.