Game with negative dice

In Animalville, a popular past-time is playing games using dice which include negative numbers.

  • Albatross has a 6-sided fair die with numbers ranging from -2 to 3 (zero inclusive)
  • Buffalo has a 6-sided fair die with numbers ranging from -1 to 4 (zero inclusive)
  • Cheetah has a 20-sided fair die with numbers ranging from -9 to 10 (zero inclusive)

They each roll their dice, and the one who has the largest number wins $1. If there is draw (either a 2-way or 3-way draw), the winners split the prize. Who is expected to win?

Picture credit: McGeddon via Wikipedia

Buffalo and Cheetah are equally likely to win Albatross and Cheetah are equally likely to win Cheetah Albatross and Buffalo are equally likely to win Buffalo Albatross

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