E338 -- Sur la probabilite des sequences dans la lotterie Genoise

(On the probability of sequences in the Genoise Lottery)


Summary:

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: E412, E600, E812, and E813, as well as this one. Here Euler investigates the probability that various sequences of numbers will be drawn.

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