HOw do you prove that the entropy of discrete variable X is H(X) greater than equal to 0 with equality iff X is a constant?

I know that it is equal to 0 if the outcome is certain but how do i show it is constant?

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- May 3rd 2012, 01:19 PMalexandrabel90entropy
HOw do you prove that the entropy of discrete variable X is H(X) greater than equal to 0 with equality iff X is a constant?

I know that it is equal to 0 if the outcome is certain but how do i show it is constant?