Question: If we have 2 random variables A and B such that they are disjoint. A has m values: a1, a2 .. am and B has

If we have 2 random variables A and B such that they are disjoint. A has m values: a1, a2 .. am and B has n values: b1, b2...bn. Let Z = A with probability and Z = B with probability 1 - . How would you express H(Z) as function of , H(A) and H(B)?

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