Abstract
2. STARTING POINT: THE THREE-DOOR PROBLEM. Mathematics has always been enriched by a- diversity of games and intellectual curiosities. These have provided an endless supply of problems that have acquired a life of their own, far removed from the recreational aspect of their origins. For example, the first building blocks of probability owe their existence to the analysis of gambling games carried out by Fermat and Pascal in the beginning of the XVIIth century. Undoubtedly Fermat himself was much attracted to mathematics thanks to Bachet's Problemes plaisants et delectables of 1612 [1], which was an introduction to Bachet's most famous book: the Latin translation of Diophantus' Arithmetica, in whose margins Fermat wrote the note that made his major theorem famous. Another important instance, E. Lucas' Re'cre'ations Mathematiques [15], was a source of interesting problems at the beginning of the present century. Let us start our excursion by setting a simple problem in the form of a seemingly innocent game.
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