There are no ambiguities in the Monty Hall problem. It's usually people who skim read and make assumptions about the challenge. No new problem is going to stop people from skim reading.
For example, going by that ddg search, one result is making a fuss about not knowing whether Monty opens a door at random and happens to show a goat, or purposefully opens a door with a goat behind it. But we do know: it's always on purpose, Monty never opened a door with a car behind it, thus prematurely ending the bet. So there's no ambiguity.
The problem is cool because the right answer doesn't seem intuitively right, even though it can be formally shown to be right.
