The Monty Hall problem seems like it can be simplified: Once you’ve picked the door, you can switch to instead selecting the two alternate doors. You know that one of the alternate doors contains a goat (since there’s only one car), which is equivalent to having Monty open one of those two doors.
The trick is simply in assuming that Monty is actually introducing any new information.
Not sure if it’s helpful to anyone else, but it just sort of clicked reading it this time :)
The Monty Hall problem seems like it can be simplified: Once you’ve picked the door, you can switch to instead selecting the two alternate doors. You know that one of the alternate doors contains a goat (since there’s only one car), which is equivalent to having Monty open one of those two doors.
The trick is simply in assuming that Monty is actually introducing any new information.
Not sure if it’s helpful to anyone else, but it just sort of clicked reading it this time :)