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Are Stupid Dice Necessary?

Frank Bermudez, Anthony Medina, Amber Rosin and Eren Scott
The College Mathematics Journal
Vol. 44, No. 4 (September 2013), pp. 315-322
DOI: 10.4169/college.math.j.44.4.315
Stable URL: http://www.jstor.org/stable/10.4169/college.math.j.44.4.315
Page Count: 8
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Are Stupid Dice Necessary?
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Abstract

Summary A pair of 6-sided dice cannot be relabeled to make the sums 2, 3, … 12 equally likely. It is possible to label seven, 10-sided dice so that the sums 7, 8, …, 70 occur equally often. We investigate such relabelings for pq-sided dice, where p and q are distinct primes, and show that these relabelings usually involve stupid dice, that is, dice with the same label on every face.

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