Question: Problem 5. (20 points) (a) (10 points) Is it possible that an event E is independent of E (itself)? Explain (b) (10 points) If

Problem 5. (20 points) (a) (10 points) Is it possible that an

Problem 5. (20 points) (a) (10 points) Is it possible that an event E is independent of E (itself)? Explain (b) (10 points) If E and F are independent, does this mean that EC and FC must be independent? Explain: Either give a counterexample or give a precise argument why it is true.

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