Two envelopes problem

en

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Two envelopes problem

Quality:

Two envelopes problem - brain teaser, puzzle, or paradox in logic, probability, and recreational mathematics. Article “Two envelopes problem” in English Wikipedia has 62.4 points for quality (as of July 1, 2025). The article contains 52 references and 20 sections.

In this language version of Wikipedia the article has the best quality. Also, this article is the most popular in that (English) language version.

In June 2025 the article “Two envelopes problem” was edited by 2 authors in English Wikipedia and written by 3 authors in all languages.

Since the creation of article “Two envelopes problem”, its content was written by 307 registered users of English Wikipedia and edited by 690 registered Wikipedia users in all languages.

The article is cited 33 times in English Wikipedia and cited 166 times in all languages.

The highest Authors Interest rank from 2001:

  • Local (English): #4978 in November 2014
  • Global: #12111 in February 2005

The highest popularity rank from 2008:

  • Local (English): #9439 in October 2013
  • Global: #22708 in October 2013

There are 14 language versions for this article in the WikiRank database (of the considered 55 Wikipedia language editions).

The quality and popularity assessment was based on Wikipédia dumps from July 1, 2025 (including revision history and pageviews for previous years).

The table below shows the language versions of the article with the highest quality.

Languages with the highest quality

#LanguageQuality gradeQuality score
1English (en)
Two envelopes problem
62.3855
2German (de)
Umtauschparadoxon
37.0243
3Serbian (sr)
Проблем две коверте
25.7001
4Ukrainian (uk)
Задача про два конверти
24.6643
5Hungarian (hu)
Kétborítékos paradoxon
21.1378
6French (fr)
Paradoxe des deux enveloppes
19.3025
7Persian (fa)
پارادوکس دو پاکت
17.1964
8Italian (it)
Paradosso delle due buste
16.0032
9Russian (ru)
Задача о двух конвертах
15.0014
10Hebrew (he)
פרדוקס המעטפות
11.4406
More...

The following table shows the most popular language versions of the article.

Most popular in all the time

The most popular language versions of the article "Two envelopes problem" in all the time
#LanguagePopularity awardRelative popularity
1English (en)
Two envelopes problem
1 659 686
2Russian (ru)
Задача о двух конвертах
393 524
3German (de)
Umtauschparadoxon
152 947
4Italian (it)
Paradosso delle due buste
88 044
5French (fr)
Paradoxe des deux enveloppes
73 537
6Hebrew (he)
פרדוקס המעטפות
60 295
7Spanish (es)
Paradoja de los dos sobres
37 496
8Dutch (nl)
Enveloppenparadox
29 068
9Hungarian (hu)
Kétborítékos paradoxon
18 467
10Czech (cs)
Paradox dvou obálek
17 110
More...

The following table shows the language versions of the article with the highest popularity in the last month.

Most popular in June 2025

The most popular language versions of the article "Two envelopes problem" in June 2025
#LanguagePopularity awardRelative popularity
1English (en)
Two envelopes problem
4 789
2Russian (ru)
Задача о двух конвертах
618
3French (fr)
Paradoxe des deux enveloppes
328
4Italian (it)
Paradosso delle due buste
154
5German (de)
Umtauschparadoxon
136
6Hebrew (he)
פרדוקס המעטפות
106
7Czech (cs)
Paradox dvou obálek
59
8Spanish (es)
Paradoja de los dos sobres
39
9Ukrainian (uk)
Задача про два конверти
35
10Polish (pl)
Paradoks dwóch kopert
27
More...

The following table shows the language versions of the article with the highest Authors’ Interest.

The highest AI

Language versions of the article "Two envelopes problem" with the highest Authors Interest (number of authors). Only registered Wikipedia users were taken into account.
#LanguageAI awardRelative AI
1English (en)
Two envelopes problem
307
2German (de)
Umtauschparadoxon
88
3Russian (ru)
Задача о двух конвертах
67
4French (fr)
Paradoxe des deux enveloppes
51
5Italian (it)
Paradosso delle due buste
43
6Hebrew (he)
פרדוקס המעטפות
35
7Dutch (nl)
Enveloppenparadox
23
8Hungarian (hu)
Kétborítékos paradoxon
21
9Serbian (sr)
Проблем две коверте
12
10Czech (cs)
Paradox dvou obálek
10
More...

The following table shows the language versions of the article with the highest Authors’ Interest in the last month.

The highest AI in June 2025

Language versions of the article "Two envelopes problem" with the highest AI in June 2025
#LanguageAI awardRelative AI
1English (en)
Two envelopes problem
2
2Italian (it)
Paradosso delle due buste
1
3Czech (cs)
Paradox dvou obálek
0
4German (de)
Umtauschparadoxon
0
5Spanish (es)
Paradoja de los dos sobres
0
6Persian (fa)
پارادوکس دو پاکت
0
7French (fr)
Paradoxe des deux enveloppes
0
8Hebrew (he)
פרדוקס המעטפות
0
9Hungarian (hu)
Kétborítékos paradoxon
0
10Dutch (nl)
Enveloppenparadox
0
More...

The following table shows the language versions of the article with the highest number of citations.

The highest CI

Language versions of the article "Two envelopes problem" with the highest Citation Index (CI)
#LanguageCI awardRelative CI
1Ukrainian (uk)
Задача про два конверти
80
2English (en)
Two envelopes problem
33
3Russian (ru)
Задача о двух конвертах
11
4Hebrew (he)
פרדוקס המעטפות
10
5German (de)
Umtauschparadoxon
9
6French (fr)
Paradoxe des deux enveloppes
7
7Spanish (es)
Paradoja de los dos sobres
4
8Italian (it)
Paradosso delle due buste
4
9Persian (fa)
پارادوکس دو پاکت
3
10Dutch (nl)
Enveloppenparadox
3
More...

Scores

Estimated value for Wikipedia:
English:
Global:
Popularity in June 2025:
English:
Global:
Popularity in all years:
English:
Global:
Authors in June 2025:
English:
Global:
Registered authors in all years:
English:
Global:
Citations:
English:
Global:

Quality measures

Interwikis

#LanguageValue
csCzech
Paradox dvou obálek
deGerman
Umtauschparadoxon
enEnglish
Two envelopes problem
esSpanish
Paradoja de los dos sobres
faPersian
پارادوکس دو پاکت
frFrench
Paradoxe des deux enveloppes
heHebrew
פרדוקס המעטפות
huHungarian
Kétborítékos paradoxon
itItalian
Paradosso delle due buste
nlDutch
Enveloppenparadox
plPolish
Paradoks dwóch kopert
ruRussian
Задача о двух конвертах
srSerbian
Проблем две коверте
ukUkrainian
Задача про два конверти

Popularity rank trends

Best Rank English:
#9439
10.2013
Global:
#22708
10.2013

AI rank trends

Best Rank English:
#4978
11.2014
Global:
#12111
02.2005

Local popularity rank history

Local AI rank history

Languages comparison

Important global interconnections (July 2024 – June 2025)

Wikipedia readers most often find their way to information on Two envelopes problem from Wikipedia articles about Monty Hall problem, List of paradoxes, Bayes theorem, Bertrands box paradox and Three Prisoners problem. Whereas reading the article about Two envelopes problem people most often go to Wikipedia articles on St. Petersburg paradox, Newcombs paradox, Sleeping Beauty problem, Bertrand paradox and Boy or Girl paradox.

Cumulative results of quality and popularity of the Wikipedia article

List of Wikipedia articles in different languages (starting with the most popular):

News from 21 February 2026

On 21 February 2026 in multilingual Wikipedia, Internet users most often read articles on the following topics: Jeffrey Epstein, Alysa Liu, Eric Dane, 2026 Winter Olympics, Rebecca Gayheart, Johannes Høsflot Klæbo, Wuthering Heights, amyotrophic lateral sclerosis, Andrew Mountbatten-Windsor, John F. Kennedy Jr..

In English Wikipedia the most popular articles on that day were: Eric Dane, Alysa Liu, Rebecca Gayheart, Jeffrey Epstein, 2026 Winter Olympics, Eileen Gu, John F. Kennedy Jr., Carolyn Bessette Kennedy, Deaths in 2026, Johannes Høsflot Klæbo.

About WikiRank

The WikiRank project is intended for automatic relative evaluation of the articles in the various language versions of Wikipedia. At the moment the service allows to compare over 44 million Wikipedia articles in 55 languages. Quality scores of articles are based on Wikipedia dumps from July, 2025. When calculating current popularity and AI of articles data from June 2025 was taken into account. For historical values of popularity and AI WikiRank used data from 2001 to 2025... More information