There is a big difference, "Ignorant Monty"/"Monty Fall" makes switching 50/50 instead of 67/33. The main change is that the door could have had the car, but di

There is a big difference, "Ignorant Monty"/"Monty Fall" makes switching 50/50 instead of 67/33. The main change is that the door could have had the car, but didn't by chance, and we get to ignore the (one third of the) times he would have revealed a car by mistake. The original Monty never shows you the car because he always picks right, so those possibilities could never happen.