# What is the probability that the relabeled dices beat the other to have the highest number?

Suppose we have three dice with relabled faces. Die A has sides marked {1,1,6, 6, 8, 8}. Die B has sides marked {2, 2, 4, 4, 9, 9}. Die C has sides marked{3, 3, 5, 5, 7, 7}. If we roll die A and die B, what is the probability that die Ahas a higher number, that is that die A beats die B? What is the probabilitythat die B beats die C? What is the probability that die C beats die A?

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