It is the reason why people lose their money. Martingale does not work. The goat behind the door does not care about previous choices and chances are reset every time you take a gamble. Unless it is rigged.
Imagine there were 1000 doors and there are goats behind all but one, you now choose door 1, the host opens all the other doors but number 1 and number 267.
Would you go with door number 1 or door number 267?
Do you think the goat cares?
If youd like to get that car, you better change to door 267 as motherfucking fast as you can.
Do you really believe there is a 50% chance still?