Question

a. Prove: If A and B are independent, then so are A and B.

b. Prove: If A and B are independent, then so are \bar{A} and \bar{B}.

c. Give an example of events A, B, and C such that
P(An Bn C) = P(A)P(B)P(C),

but

P(AnBn C) P(A)P(B)P(C)



P(An Bn C) = P(A)P(B)P(C),
P(AnBn C) P(A)P(B)P(C)
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Answer #1

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