[speakeron]

That's how I got to understand it when I first heard about the problem in the early 90s. (Of course, I also wrote a simulation.)

The problem itself can be rephrased in an even simpler manner where Monty doesn't open any doors at all. Once you've picked a door, he then gives you the option of either staying with that door or changing to both of the other doors (where you get to keep the best prize behind them). Given that formulation, almost everybody would switch.