Comment by travisjungroth

I did some miscalculations. 2^60 is 1.15E18. So you couldn't do a thousand times per second. But it probably wouldn't happen at 1 per second.

The original point of your comment is correct, at least from a probability standpoint. You don't get "owed" tails. I guess my hint was that there are sometimes other factors at play that mean the theory goes out the window. Like if someone shuffles a deck in front of you and it ends up new deck order, it's more likely they're a magician than lucky.