You tossed a coin a million times, this already happened. You marked an x on a card for heads and an o for tails and lay the card upside down. You count all the cards from the first two thirds, and there is an 80% incidence of heads. If you pick up a card from the last third, a random card from that set of cards, do you give it a 50 50 chance of being tails, or greater?
It sounds like you’ve just created a scenario to ask me “won’t you believe in the gamblers fallacy in this particular scenario”, is that right? Are you trying to find some circumstance where I’ll agree with the gamblers fallacy?
What’s all the information available to me in this scenario? Do I know it was a fair coin for sure? Do I know anything about the distribution in the last third?
while you blatantly ignore the evidence of casinos breaking fingers and people making millions off of the premise that if you know the incidence of previous card flips, you can assign non 50 50 odds to what the next card will be?
Counting cards is NOT a matter of the gamblers fallacy, you are incredibly misinformed if you think it operates on the same principal you’re using here.
Counting cards works because casinos continue using the same decks without shuffling them. It works because it’s explicitly NOT random.
You think it’s not random, because you’re still hooked on the gamblers fallacy. If you really paid attention to every experiment ran tonight, you would have lost some faith in the gamblers fallacy.
Alright: I’ll lay this out in what I think are simple terms… 0=loss, 1=win
I’ll do this cantor style…
1.) 1111111111… always win
2.) 001001001… lost more than you win but never completely lose
3.) 111011101110… win more than you lose but never completely win
4.) 00000000000… always lose
Now.
Based on pure randomness all these categories should be 25% each.