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Published online by Cambridge University Press: 03 November 2016
The process of randomisation has in recent years come to play such a central part in experimental design that it is of some interest to find that it affords a means of resolving one of the oldest paradoxes which arose in discussions of gaming.
Readers of Todhunter’s The Mathematical Theory of Probability will recall his account (sections 187-190, pp. 106-110) of the correspondence between Montmort and Nicolas Bernoulli on the rule by which the players might guide themselves most advantageously in the game called “le Her”.
Page no 294 note * Todhunter does not discuss these preliminary points, but speaks of them as “tacitly allowed by the disputants”; it is, however, demonstrable that these rules are advantageous to the players who follow them.