How can be proven that for random variables $A$ and $B$, and $C = A + B$,
$$H(C\mid A) = H(B\mid A).$$
Also, would it be possible to determine if $H(C)$ would be greater than $H(A)$?
2026-03-31 14:20:58.1774966858
Conditional entropy of sum of random variables
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