Answer:  It does not matter if you swap.  Unlike the original game, the odds are now 50/50 because Monty did not know what was behind which door.

 

I don't know about you, but this one sent my head spinning once again.  How can what's in Monty's head affect the odds on the exact same situation of 2 doors and one hiding the million?  But if you start thinking through the probabilities -- including the game being ruined one out of three times when Monty opens the door with the million dollars, it eventually sinks in.

 

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