Analysis of a problem in the calculus of probabilities
This paper was not published until 1862, in the Opera Postuma.
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.
Original Source Citation
Opera Postuma, Volume 1, pp. 336-341.
Opera Omnia Citation
Series 1, Volume 7, pp.495-506.