If you subtract all aaax’s that the program counts, the remainder is either not 50 50, and so the ab distribution in the aaax’s is not 50 50, or it is 50 50, and aaax will not be 50 50 (on account of at least 3 being always a), and the total distribution will not be 50 50.
I have no clue why you keep bringing up what will happen when you subract all the streaks of heads. Of course the distribution won’t be 50/50 when you subtract the streaks of heads but not the streaks of tails! Why would any reasonable person expect anything different?
That has nothing to do with the claim you made. I don’t see how they’re related.
I don’t know C++ from D-- but it might be interesting to find out — although now I’m thinking about all of the other little efforts I am occupied with.
Because we programmed the flipper to only count the x’s of aaax’s that occur when the distribution before it was 50 50, effectively subtracting the aaax’s.
Origami, I have some bad news for you, but I have some good news that’s even better than the bad news.
The bad news is, your statistical intuition about what happens after a streak is wrong. Whatever you thought you knew, is wrong.
The good news is, you can be right now. If you allow yourself to learn something right now, you will be smarter than you were before. What’s better than that?
I’m really not seeing any contradiction. You subtract the heads streaks, you’re left with less heads than tails. There’s nothing problematic there for me, intuitively or otherwise. That seems… normal.