[NoPicklez]

Extrapolating it to 100 doors has been the only way I could understand the problem and why its beneficial to change.

Even the Wikipedia article extrapolates this out to 1 million, but assumes all the time that the host knows which door the car is behind and will avoid picking the door with the prize in it when narrowing it down to 2 doors for the contestant.

I think where the author is coming from, is what happens to the probabilities if the host doesn't know which door the car is behind and in the scenario of 1 million doors, there's a risk that the door with the prize is thrown away at random when narrowing it down to the 2 doors. Where the remaining choice to keep your original door or switch could result in both doors not having the prize at all.

However by changing that the author has missed the original intent of the Monty hall problem, because they have removed the fact that one of the remaining doors has to have a car in it. If the host didn't know which door the car was behind, there is a chance the contestant is no better off switching. Which isn't the intent of the problem.

If I have understood correctly, it is important to the monty hall problem that the host knows which door has the car in it and that door is always behind one of the doors left at the end.