16. Prove or give counterexamples to the following statements: (a) If E is independent of F and...

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16. Prove or give counterexamples to the following statements:

(a) If E is independent of F and E is independent of G, then E is independent of F∪G.

(b) If E is independent of F, and E is independent of G, and FG = ∅, then E is independent of F∪G.

(c) If E is independent of F, and F is independent of G, and E is independent of FG, then G is independent of EF.

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