Are Stupid Dice Necessary?
Abstract: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.
Document Type: Research Article
Publication date: September 1, 2013
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- The College Mathematics Journal is designed to enhance classroom learning and stimulate thinking regarding undergraduate mathematics. CMJ publishes articles, short Classroom Capsules, problems, solutions, media reviews and other pieces. All are aimed at the college mathematics curriculum with emphasis on topics taught in the first two years.
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