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If an event X has n possible outcomes each with probabilities p1, p2,...., pn, then the entropy of X is defined as H(X) = -p1log2(p1)

If an event X has n possible outcomes each with probabilities p1, p2,...., pn, then the entropy of X is defined as H(X) = -p1log2(p1) -p2log2(p2) ..... -pnlog2(pn) . If n = 8, what is the maximum possible value for H(X)? When does it happen

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