I think your maths is slightly off  (should be 0.505^N  not 0.5^N), but retrospective probabilities like that aren't super useful.  i.e. I just  won, lost, lost, won, won, lost, lost, won, won, won, lost -- which is pretty normal -- but if you look at the probability of that specific sequence happening it might be a 1 in a million. But really, you're never going to be able to tell the difference between being unlucky and being cheated by outcomes alone. I highly, highly recommend you invest the time in learning how to verify your games. It's a bit annoying and a bit confusing -- but once you can, you'll find it liberating to know without a shred of doubt you lost (or won) legitimately.