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Mutual information $I(X;Y)$ is related to marginal entropies $H(X)$ and $H(Y)$, and joint entropy $H(X,Y)$ by the identity $I(X;Y) = H(X) + H(Y) - H(X,Y)$. This is derived from the Venn diagram where the union of the two entropy circles is the joint entropy, and their intersection is the mutual information.

Conditions: $X$ and $Y$ are random variables with finite entropies.; The diagram treats $H(X,Y)$ as the union of the two entropy circles and $I(X;Y)$ as their intersection.

Mutual information $I(X;Y)$ is related to marginal entropies $H(X)$ and $H(Y)$, and joint entropy $H(X,Y)$ by the identity $I(X;Y) = H(X) + H(Y) - H(X,Y)$. This is derived from the Venn diagram where the union of the two entropy circles is the joint entropy, and their intersection is the mutual information.

Conditions: $X$ and $Y$ are random variables with finite entropies.; The diagram treats $H(X,Y)$ as the union of the two entropy circles and $I(X;Y)$ as their intersection.