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to convince oneself that this principle is fair than it is for Fermat's table of possible futures, which are doubly hypothetical because one must imagine that the game sometimes continues after having been won. Pascal's analysis here is one of the earliest examples of using expected values instead of odds when reasoning about probability. Shortly after, this idea would become a basis for the first systematic treatise on probability De Ratiociniis in Ludo Aleae in 1657, by Christiaan Huygens.

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