🚀 go-pugleaf

In <1992Dec18.202554.29968@cs.odu.edu> carr@fog.cs.odu.edu (Eric Carr) writes:

>...But suppose there were, for every time the door was opened, TWO players
>each standing in front of one of the doors. (The third player having already
>been disappointed by being told he/she was the proud owner of a goat.)
>Wouldn't BOTH of these players supposedly statistically benefit from switching,
>if the 2/3 answer were correct?

>	The logic seemed OK to me until I thought of this aspect... Now I'm
>truly confused! 8-) I'd appreciate it if someone could explain this facet of
>the problem. I don't really care if I'm right or wrong -- I'd just like to know.

This is the most interesting objection I have heard.  

The answer is not too complicated:  If they players originally made their
guess RANDOMLY, then yes they benefit from switching.

But if player A gets door 1, and Player B must select from door 2 or 3,
then the probability space is changed.

It is not the same problem unless all three players selected their doors
INDEPENDENTLY, and have the option of choosing the same door.

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