Jane Street–styleTraderAssistant TraderQuestion #289

Suppose you have two regular 6-sided dice. When you roll them, the sums of the faces range from 2 to 12, each with their characteristic probabilities. Now, imagine erasing the numbers on both dice and rewriting them with a new set of positive integers. Is it possible to assign numbers so that the sum distribution when rolling both dice remains unchanged? If so, how can this be done?

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