# Inspired by Arjen Vreugdenhil

Suppose we have the following two dice:

• a fair, five-sided die with numbers $$D_5 = [1,2,3, 4, 5]$$
• a fair, six-sided die with numbers $$D_6 = [1,2, 3, 4, 5, 6]$$.

Does there exist a different pair of dice with 5 and 6 sides, such that the probability distribution of their sum is the same as rolling $$D_5$$ and $$D_6$$?

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