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I'm not sure it's that simple.

let's imagine the first envelope contained between 1 andand 1000 dollars, the second double the first.

if you open your envelope and it contains a whole number of dollars between 1 and 1000, then you should swap, id take "250 or 750" over 500.



But the problem is explicitly about swapping before opening any envelope.


Only if each value is equally likely. If you see $1,000 but figure the envelope-filler is a lot more likely to have been willing to put $1,500 in than $3,000 then you should stick.




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