Question: if a and b are two independent events show that a bar and b bars are also independent?
Answer: If A and B are independent events, then the events A and B' are also independent. ... From the Venn diagram, we see that the events A ∩ B and A ∩ B' are mutually exclusive and together they form the event A. A = ( A ∩ B) ∪ (A ∩ B').