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‘Toss Up’ Strategies

Published online by Cambridge University Press:  23 January 2015

Roger W. Johnson*
Affiliation:
Department of Mathematics and Computer Science, South Dakota School of Mines & Technology, 501 East St. Joseph Street, Rapid City, SD 57701 USA, e-mail: Roger.Johnson@sdsmt.edu

Extract

The game ‘toss up’, manufactured by Patch Products (http://www.patchproducts.com/). is played with ten fair, six-sided dice whose sides are coloured green, yellow and red. In particular, each die has 3 green sides, 2 yellow sides and I red side. Ordinary fair six-sided dice may be used instead, of course, provided three sides are identified as ‘green’ (e.g. 1, 2, 3), two sides are identified as ‘yellow’ (e.g. 4,5) and one side is identified as ‘red’ (e.g. 6). Players take turns with each turn consisting of (potentially) several rolls of dice. All the dice are used on the first roll of a turn. Players accumulate points as they play and the first player to reach 100 points wins.

Type
Articles
Copyright
Copyright © The Mathematical Association 2012

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References

1. Neller, T. and Presser, C., Optimal play of the dice game Pig, The UMAP Journal, 25(1) (2004) pp. 2547 (cf. http://cs.gettysburg.edu/projects/pig/).Google Scholar
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