This is me, the logic of Monty Hall Doors does not make sense to me, so luckily I found this one: https://www.rossmanchance.com/applets/2021/montyhall/Monty.h...
After running the process 500 times, the ratio seems insane (using the stay tactic, 67% loss & 33% wins) - it makes me able to accept "that is just how it is then", but absolutely does not explain WHY, because in my mind, once you open the door, the situation resets to 50/50 - so there should be no difference if I stay or switch. The fundamental misunderstanding of statistics is probably what is the problem.
It's funny to observe own mind in this process, and how much of a "struggle" there is to convince one-self that what seems logical and sensible is in-fact a wrong interpretation and can only exists due to lack of understanding.
> My interpretation is that, before playing the actual game, they refuse to believe me. They don't trust me or the logic and so dismiss it. Once actual stakes are involved, even if it's their pride, only then do they start to be open to arguments as to why their intuition was wrong.
That is so true - before the own idea/concept gets put to test, it's easy to be delusional about how correct your own "idea" is. As long as it is in the vacuum of your own brain, you can keep it protected and shielded from all that nasty truth that tries to bully and beat it.
There is a reason why a lot of coders do not want others to see their code and do a code review on it...
