Broken Dice Game - 223355 vs. 114466

Doug and Mattie are playing a game using strange dice. Each die is a cube with six sides. Doug's die has sides numbered 2, 2, 3, 3, 5, and 5. Mattie's die has sides numbered 1, 1, 4, 4, 6, and 6.

To play the game, Doug and Mattie roll their dice at the same time and whoever rolls the higher value wins. If they play many times, who will win more frequently, Doug or Mattie?

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