Three classical probability problems: the Hungarian roulette

Abstract

In this paper three unrelated problems will be discussed. What connects them is the rich methodology of classical probability theory. In the first two problems we have a complete answer to the problems raised; in the third case, what we call the Hungarian roulette problem, we only have a conjecture with heuristic justification.

13 pages, 1 figure. To appear in Annales Univ. Sci. Budapest., Sec. Comp., vol. 56