Need help with these questions. thank you for your help

4. Suppose you have 3 (random) events of interest, A, B and C Which of the following probability equalities convey the idea that B is independent of C given A? (a) p( C IB)-P( CIA) (c) p( C| A, B ) = p( C | A ) (e) p( B|A, C)p B|A) 5. What is the probability that an 8-bit pattern chosen at random will have exactly 3 ones? 4. Suppose you have 3 (random) events of interest, A, B and C Which of the following probability equalities convey the idea that B is independent of C given A? (a) p( C IB)-P( CIA) (c) p( C| A, B ) = p( C | A ) (e) p( B|A, C)p B|A) 5. What is the probability that an 8-bit pattern chosen at random will have exactly 3 ones