At least for me, the comparison to the expected payouts of the &quot;finite versions&quot; completely resolves the paradox.  People aren&#x27;t used to reasoning about infinities, especially when dealing with such tangible quantities as money.  Very large and very small numbers confuse us. It&#x27;s no wonder that when faced with astronomically large payouts at infinitesimal probabilies, our intuition disagrees with &quot;the math&quot;. We think about money intuitively in terms of scales that are meaningful in the real world.  We can&#x27;t imagine playing against a casino with $10^100, so we would not be willing to pay $330 to play, which would be the expected payoff for such a casino.<p>On a related note, we don&#x27;t have a way of measuring the value of money beyond quantities we subconsciously label &quot; all the money&quot;.  Is it better to have $10^90 or $10^100?  In the computation of the expectation, the difference is crucial. To a human player, there is no distinction.