English Title

Analysis of a problem in the calculus of probabilities


Leonhard Euler

Enestrom Number


Original Language


Archive Notes

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

Content Summary

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

Published as

Collection article

Published Date


Original Source Citation

Opera Postuma, Volume 1, pp. 336-341.

Opera Omnia Citation

Series 1, Volume 7, pp.495-506.

Record Created


E813en.pdf (152 kB)
E813en.pdf (152 kB)

Included in

Mathematics Commons