two envelopes problem
two envelopes problem proper noun: a puzzle of this kind: "You are given two indistinguishable envelopes, each containing money; one contains twice as much as the other. You may pick one envelope and keep the money it contains. Having chosen an envelope at will, but before inspecting it, you are given the chance to switch envelopes. Should you switch?" Because you stand to gain twice as much money if you switch while risking only a loss of half of what you currently have, it is possible to argue (fallaciously) that it is beneficial to switch.
Proper noun
the the two envelopes problem
- A puzzle of this kind: "You are given two indistinguishable envelopes, each containing money; one contains twice as much as the other. You may pick one envelope and keep the money it contains. Having chosen an envelope at will, but before inspecting it, you are given the chance to switch envelopes. Should you switch?" Because you stand to gain twice as much money if you switch while risking only a loss of half of what you currently have, it is possible to argue (fallaciously) that it is beneficial to switch.
- Synonyms:
- exchange paradox, envelope paradox
Synonyms of two envelopes problem
Questions about two envelopes problem
- What does two envelopes problem mean?
- Two envelopes problem means a puzzle of this kind: "You are given two indistinguishable envelopes, each containing money; one contains twice as much as the other. You may pick one envelope and keep the money it contains. Having chosen an envelope at will, but before inspecting it, you are given the chance to switch envelopes. Should you switch?" Because you stand to gain twice as much money if you switch while risking only a loss of half of what you currently have, it is possible to argue (fallaciously) that it is beneficial to switch.
- What part of speech is two envelopes problem?
- Two envelopes problem is a proper noun.
Words near two envelopes problem in the dictionary
Source and license
Adapted from Wiktionary: two envelopes problem (page history and authors). Text available under the Creative Commons Attribution-ShareAlike 4.0 license. Word.ws reformatted the entry and added links. Wiktionary data of 2026-09-02.
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Cite this entry: “two envelopes problem.” Word.ws, https://word.ws/two_envelopes_problem. Based on Wiktionary, CC BY-SA 4.0.
