Probability Paradox

The 'Two Envelopes Problem' is a probability paradox where, after choosing one of two envelopes (one containing twice the money of the other), a rational argument can be made to always switch, and also to always keep, leading to a logical contradiction if not carefully analyzed.

Discoverer / Person
Barry Nalebuff
Year Discovered
1989
Field
Probability
Evidence Quality
Well-Documented

Why It Matters

This paradox highlights subtleties in defining probability distributions and conditional expectations, especially with infinite or unbounded values.

Source Consensus

1 sources agreed

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