After seeing the popularity of the standard $3$ door problem, Monty thought to put a twist in the story.
There are $N$ doors, $1$ car, $N-1$ goats.
We need to choose any one of the doors. After we have chosen the door, Monty deliberately reveals one of the doors that has a goat and asks us if we wish to change our choice.
After we decide our choice, Monty then again reveals one more door that has a goat and asks us if we wish to change our choice (both 1st and 2nd).
This goes on. What strategy should we follow? Keep switching?
And if we keep switching, is it okay to switch to some of the previous choices (provided they are still not revealed!!)