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Consider identical four, 3-faced dice. When the dice are rolled, the faces of the dice appear with probabilities given below. Which distribution has the maximum entropy?
$$\left(\frac{1}{2}, \frac{1}{4}, \frac{1}{4}\right)$$
$$\left(\frac{1}{3}, \frac{1}{3}, \frac{1}{3}\right)$$
$$\left(\frac{1}{6}, \frac{2}{3}, \frac{1}{6}\right)$$
$$\left(\frac{1}{4}, \frac{1}{6}, \frac{7}{12}\right)$$
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