Three cubic dice, with faces numbered from 1 to 6, were used in a game. Artur chose two dice, and João got the third. The game consists of both rolling their dice, observing the numbers on the faces facing up, and comparing the largest number obtained by Artur with the number obtained by João. The player who obtains the largest number wins. In case of a tie, the victory goes to João. The player who has the greatest probability of victory is (A) Artur, with probability of $\dfrac{2}{3}$ (B) João, with probability of $\dfrac{4}{9}$ (C) Artur, with probability of $\dfrac{91}{216}$ (D) João, with probability of $\dfrac{91}{216}$ (E) Artur, with probability of $\dfrac{125}{216}$
Three cubic dice, with faces numbered from 1 to 6, were used in a game. Artur chose two dice, and João got the third. The game consists of both rolling their dice, observing the numbers on the faces facing up, and comparing the largest number obtained by Artur with the number obtained by João. The player who obtains the largest number wins. In case of a tie, the victory goes to João.
The player who has the greatest probability of victory is\\
(A) Artur, with probability of $\dfrac{2}{3}$\\
(B) João, with probability of $\dfrac{4}{9}$\\
(C) Artur, with probability of $\dfrac{91}{216}$\\
(D) João, with probability of $\dfrac{91}{216}$\\
(E) Artur, with probability of $\dfrac{125}{216}$