Infinity can be difficult to grasp.<p>Fortunately, there is a huge difference between &quot;infinite&quot; and &quot;really large,&quot; which is often key. So applying these results to the real world often doesn&#x27;t work out.<p>As the Wikipedia article points out, although the expected value of the game is infinite if the casino has infinite money, it&#x27;s not only finite but quite small if the casino has finite money. Even if the casino were backed by the entire world GDP, the expected value of the game is only around $50.<p>This to me is a satisfying resolution to the problem presented.