Question: Let . ;F; P/ be a probability space and A;B;C 2 F. Show directly (without using Corollary (3.20) and Theorem (3.24)): (a) If A and

Let . ;F; P/ be a probability space and A;B;C 2 F. Show directly (without using Corollary (3.20) and Theorem (3.24)):

(a) If A and B are independent, then so are A and Bc.

(b) If A;B;C are independent, then so are A [ B and C.

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