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You are given two fair dice: one is a normal six-sided die and the other is an illegible, six-sided die. Note that the values on this other die do not necessarily need to be 1−6. Whenever you toss the two dice, it is equally likely for the sum of the faces to be any integer between 1-12, inclusive. What is the sum of the sides of the illegible die?
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Quantitative Researcher

Interviewed at Quadeye

3.9★
May 26, 2024

You are given two fair dice: one is a normal six-sided die and the other is an illegible, six-sided die. Note that the values on this other die do not necessarily need to be 1−6. Whenever you toss the two dice, it is equally likely for the sum of the faces to be any integer between 1-12, inclusive. What is the sum of the sides of the illegible die?

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