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MATH / A 6-sided die is weighted so that the probability of any number being rolled is…

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problem

A 6-sided die is weighted so that the probability of any number being rolled is proportional to the value of the roll.  (So, for example, the probability of a 2 being rolled is twice that of a 1 being rolled.)  What is the expected value of a roll of this weighted die?  Express your answer as a common fraction.

level

Level 4

type

Counting & Probability

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