Because they will never show you a door that has the prize after the first step it creates a bias. There are 3 places for the prize (and goats for the rest) so it can be:
Door| 123
—|—
A| PGG
B| GPG
C | GGP
Lets assume you chose door 1. Out of the three setups, you would win 2/3 if you switch. This seems obvious, but its also because the door they show you isn’t random. If you chose door 1 in setup B they would never show you door 2 and ask if you want to switch. Because they remove that outcomes it creates a bias in your selection. It rigs the game in your favor by eliminating a you lose condition.
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