Question

11. If P(A U B) = p(A U B)

Answer 1

Step-by-step explanation:

Then P(A U B) = P(A) + P(B) - P(A n B). Proof ⊳ We may write A U B as a disjoint union of the following three sets: A U B = (A<B) U (B<A) U (A n B) So by Axiom 3 of probability, P(A U B) = P(A<B) + P(B<A) + P(A n B).