EDIT: Let’s cool it with the downvotes, dudes. We’re not out to cut funding to your black hole detection chamber or revoke the degrees of chiropractors just because a couple of us don’t believe in it, okay? Chill out, participate with the prompt and continue with having a nice day. I’m sure almost everybody has something to add.
The Monty Hall problem has always bothered me when considering it on the basis of 3 doors. However when the concept is extended to 100 doors, and 98 are opened, it starts to click for me that of course the odds are 50/50. It’s much more obvious that the prize was in the field (and the odds shift to reflect that)
That’s the thing though, according to the explanation, it’s never 50/50.
If there are 3 doors, and 1 is opened, you have a 2/3rds chance in winning by picking the other door.