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I guess I will have to quit

I have given you all 6 possibilities that can happen.

Revealing the door that you have picked (door X in my nomenclature) is not a possibility. Or to be more clear, that would be a completely different type of game if Monty could open your door as well. That would indeed lead to different statistics. Maybe our assumptions on the game rules are different.

There are exactly 6 ways this game can proceed from start to finish (given my assumptions), and I gave you all 6.

And of course it doesn't matter if you chose door Y or Z, you would end up with an equivalent set of possibilities.

I really don't think this is going anywhere. We probably start from different assumptions as I said above. At any rate, it's all counting up possibilites and I'm sure given equivalent assumptions, we'd come to the same count, but it's not really an important issue.


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