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The successive symbols emitted by the source are

A source emits one of four symbols s₀, s₁, s₂, and s₃ with probabilities 1/3, 1/6, 1/4 and 1/4, respectively. The successive symbols emitted by the source are statistically independent. Calculate the entropy of the source.

Let X represent the outcome of a single roll of a fair die. What is the entropy of X?

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