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Conditional entropy H(X|Y) equals unconditional entropy $H(X)$ if and only if the random variables X and Y are statistically independent. In this case, knowing Y provides no information about X, so the uncertainty remains unchanged.

Conditions: X and Y are discrete random variables.

Conditional entropy H(X|Y) equals unconditional entropy $H(X)$ if and only if the random variables X and Y are statistically independent. In this case, knowing Y provides no information about X, so the uncertainty remains unchanged.

Conditions: X and Y are discrete random variables.