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?

A

$$\left(\frac{1}{2}, \frac{1}{4}, \frac{1}{4}\right)$$

B

$$\left(\frac{1}{3}, \frac{1}{3}, \frac{1}{3}\right)$$

C

$$\left(\frac{1}{6}, \frac{2}{3}, \frac{1}{6}\right)$$

D

$$\left(\frac{1}{4}, \frac{1}{6}, \frac{7}{12}\right)$$