High Roller

Alice and Carla are playing a dice game. Here's how it works:

  • Each person rolls a die, and the highest number rolled of the two is recorded.
  • If the highest number rolled is a 1, 2, 3 or 4, Alice wins.
  • If the highest number rolled is a 5 or a 6, Carla wins.

On average, who is more likely to win: Alice, Carla, or are the probabilities equal?

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