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Two Envelopes Problem: why the math won't let you keep your envelope
There is an envelope in your hand the math forbids you to keep. With one envelope holding twice the other, calling yours A makes the other average 5A/4 — so you swap, then swap again endlessly. The error, traced to Kraitchik in 1943: A is silently used for two different amounts, breaking the expectation. Define the amounts properly and the ...
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