E600 -- Solutio quarundam quaestionum difficiliorum in calculo probabilium

(The solution of certain difficult questions 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, E812, and E813, as well as this one. In this paper, Euler investigated the probability that all numbers or some fewer numbers be drawn in a sequence of lotteries.

According to the records, it was presented to the St. Petersburg Academy on October 8, 1781.

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