1. The problem statement, all variables and given/known data Prove if P(A|B) = P(A|B') then A and B are independent. where B' is the complement of B 2. Relevant equations if independent, P(A|B) = P(A) also, P(A∩B) = P(A)P(B) for conditional probability, P(A|B) = P(A∩B) / P(B) 3. The attempt at a solution P(A|B) = P(A∩B) / P(B) = P(B|A)P(A) / P(B) P(A|B') = P(A∩B') / P(B') = P(B'|A)P(A) / P(B') I'm not really sure how to go from here... What do I do?