2018Statistical ScienceOpen access

Marie-France Bru and Bernard Bru on Dice Games and Contracts

Glenn Shafer

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Abstract

This note introduces Marie-France and Bernard Bru’s forthcoming book on the history of probability, especially its chapter on dice games, translated in this issue of Statistical Science, and its commentary on the history of fair price in the settlement of contracts. As the Brus remind us, the traditions of counting chances in dice games and estimating fair price came together in the correspondence between Pascal and Fermat in 1654. To solve the problem of dividing the stakes in a prematurely halted game, Fermat used combinatorial principles that had been used for centuries to analyze dice games, while Pascal used principles that had been proposed in previous centuries by students of commercial arithmetic.

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This note introduces Marie-France and Bernard Bru’s forthcoming book on the history of probability, especially its chapter on dice games, translated in this issue of Statistical Science, and its commentary on the history of fair price in the settlement of contracts. As the Brus remind us, the traditions of counting chances in dice games and estimating fair price came together in the correspondence between Pascal and Fermat in 1654. To solve the problem of dividing the stakes in a prematurely halted game, Fermat used combinatorial principles that had been used for centuries to analyze dice games, while Pascal used principles that had been proposed in previous centuries by students of commercial arithmetic.

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Available abstract

This note introduces Marie-France and Bernard Bru’s forthcoming book on the history of probability, especially its chapter on dice games, translated in this issue of Statistical Science, and its commentary on the history of fair price in the settlement of contracts. As the Brus remind us, the traditions of counting chances in dice games and estimating fair price came together in the correspondence between Pascal and Fermat in 1654. To solve the problem of dividing the stakes in a prematurely halted game, Fermat used combinatorial principles that had been used for centuries to analyze dice games, while Pascal used principles that had been proposed in previous centuries by students of commercial arithmetic.

Key concepts: Dice, Fermat's Last Theorem, Pascal (unit), Mathematical economics, Computer science, Mathematics, Programming language, Statistics

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