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The Best Way to Knock'm Down (UMAP)

Arthur T. Benjamin, Matthew T. Fluet


Mathematics Topic:
Article, Probability
Application Areas:
Game theory, strategy

| ©1999 by COMAP, Inc. | The UMAP Journal 20.1 | 10 pages |


“Knock ’m Down” is a game of dice that is so easy to learn that it is being played in classrooms around the world. Although this game has been effective at developing students’ intuition about probability [Fendel et al. 1997; Hunt 1998], we will show that lurking underneath this deceptively simple game are many surprising and highly unintuitive results.

Table of Contents:

INTRODUCTION

EXPECTATIONS AND RESULTS

THEORETICAL RESULTS

THE 2-VALUED GAME

COMPUTATIONAL DETAILS

VARIATIONS AND OPEN QUESTIONS

ACKNOLWEDGMENT

REFERENCES