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On de Movire's solutions of the problem of duration of play 1708–1718
Authors:A Hald
Institution:(1) Furesøvej 87 A, DK-2830 Virum, Denmark
Abstract:Summary I attempt to solve the enigma of how de Moivre derived his recursion formulae and the formulae for the probability of a duration of exactly n games. I believe that he obtained the latter probability by differencing Nicholas Bernoulli's formula for the probability of ruin and that he obtained the recursion formulae by a simple algebraic method and induction.
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