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Let's say you have 2 regular 6-faced dice. When you throw them down, you know the sum distribution (can vary from 2 to 12). Now let's say you were to erase the numbers on the faces of both the dice, and rewrite them with a new set of positive integers. Can you replicate the same sum distribution? If yes, how?
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Assistant Trader

Interviewed at Jane Street

4.4
Jul 11, 2011

Let's say you have 2 regular 6-faced dice. When you throw them down, you know the sum distribution (can vary from 2 to 12). Now let's say you were to erase the numbers on the faces of both the dice, and rewrite them with a new set of positive integers. Can you replicate the same sum distribution? If yes, how?

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