, therefore, let his bet go.  This will 'probably' happen
| before he has won as much as he had in the first place, so that
| this run against him will leave him poorer than he began;  some
| time or other it will be sure to happen.  It is true that there
| is always a possibility of his winning any sum the bank can pay,
| and we thus come upon a celebrated paradox that, though he is
| certain to be ruined, the value of his expectation calculated
| according to the usual rules (which omit this consideration