Solutions to a certain problem illustrating the idea of fusionism in the probability theory

Abstract

The solutions presented above may serve as an illustration of "the principle of internal integration”, known as the idea of liisionisiii. Three balls are selected simultaneously from an urn containing b white balls and c black ones. If all balls are of the same color one of the players wins, otherwise the other player is the winner. For which values of b and c is this game fair? Questions caused by the probability problems may serve as a considerable source of such opportunities.