E813 -- Analyse d'un probleme du calcul des probabilites

(Analysis of a problem in the calculus of probabilities)


The Genoise lottery was the first number lottery, and as such drew much attention from 18th Century mathematicians. Its chief expositors were Nicolas Bernoulli and Euler. Euler himself devoted at least five papers to the subject: E338, E412, E600, E812, along with this one. In this paper, Euler determined the probability that a ticket will be drawn 0, 1, 2, ... times in n successive drawings of r tickets from an urn.

This paper was not published until 1862, in the Opera Postuma.

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