Probability locked in when you chose the first door, the odds of it being correct are 1 in 3.
So flip that now, the chances you were incorrect are 2 in 3.
In the Monty hall problem, you are basically choosing the 1 in 3 odds over the 2 in 3 by staying at the first door.
Go further. There are 100 billion doors, you can either choose one, or choose 99,999,999,999. So either your first choice was correct or one of the subsequent 99… would be. That’s the real heart of it.
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