These are not even games; the expected value is &lt; 1.  That said if you like playing then the actual math is almost meaningless.  Nobody complains about not breaking even when going to the movies.<p>With one game you never actually end up with ~20$.  It&#x27;s either 0 or ~40$. Expected value is close to break even, but you get an actual bet going.<p>With 20 games you never end up at 0 or ~40$ it&#x27;s &#x27;always&#x27;  (524,287&#x2F;524,288) something between those extremes.  However, with negative expected outcome games the average case is bad, so you odds of winning are less than 50&#x2F;50 and your average win is tiny.<p>Further, many people play not just a fixed number of games, but keep playing until there stake is gone, which tends very strongly toward zero.<p>Net result, if you play just one game you have a reasonable chance of winning.  If you play lot&#x27;s of games you most likely will keep losing money until you stop.<p>PS: This is why most casinos don&#x27;t take big bets; they make far more money from people making lots of small bets over time.