 The “paradox” consists in the fact that our best theory of rational choice seems to entail that it would be rational to pay any finite fee for a single opportunity to play the St. Petersburg game, even though it is almost certain that the player will win a very modest amount. The probability is \(\frac{1}{2}\) that the player wins no more than $2, and \(\frac{3}{4}\) that he or she wins no more than $4.