I find that the bad intuition on the monty hall problem is mostly due to the small delta of going from 1 in 3 doors to 1 in 2 doors, combined with some bad huma

I find that the bad intuition on the monty hall problem is mostly due to the small delta of going from 1 in 3 doors to 1 in 2 doors, combined with some bad human intuition. If you change it to start with 1000 doors, I find it to be a lot more intuitively convincing.