Bertrand paradox (probability)

Bertrand paradox - problem within the classical interpretation of probability theory: what is the probability that a randomly chosen chord on a circle is longer than a side of an equilateral triangle inscribed in the circle?. Article "Bertrand paradox (probability)" in English Wikipedia has 45.6 points for quality (as of July 1, 2025). The article contains 13 references and 7 sections.

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

Since the creation of article "Bertrand paradox (probability)", its content was written by 93 registered users of English Wikipedia and edited by 412 registered Wikipedia users in all languages.

The article is cited 21 times in English Wikipedia and cited 342 times in all languages.

The highest Authors Interest rank from 2001:

• Local (English): #9798 in October 2014
• Global: #18742 in October 2014

The highest popularity rank from 2008:

• Local (English): #60476 in December 2021
• Global: #81560 in December 2021

There are 20 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.

#	Language	Quality grade	Quality score
1	English (en) Bertrand paradox (probability)		45.5954
2	Korean (ko) 베르트랑의 역설 (확률)		43.9714
3	Romanian (ro) Paradoxul lui Bertrand (teoria probabilităților)		34.0867
4	Vietnamese (vi) Nghịch lý Bertrand (xác suất)		32.7917
5	Chinese (zh) 伯特蘭悖論		31.2947
6	Russian (ru) Парадокс Бертрана (вероятность)		28.3185
7	Armenian (hy) Բերտրանի պարադոքս		27.0995
8	German (de) Bertrand-Paradoxon (Wahrscheinlichkeitstheorie)		22.0362
9	Japanese (ja) ベルトランの逆説		21.6716
10	Esperanto (eo) Bertranda paradokso (probabloteorio)		21.5039

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

The most popular language versions of the article "Bertrand paradox (probability)" in all the time

#	Language	Popularity award	Relative popularity
1	English (en) Bertrand paradox (probability)		781 595
2	Russian (ru) Парадокс Бертрана (вероятность)		160 590
3	Japanese (ja) ベルトランの逆説		127 459
4	French (fr) Paradoxe de Bertrand		101 814
5	Polish (pl) Paradoks Bertranda		90 244
6	Korean (ko) 베르트랑의 역설 (확률)		74 808
7	Italian (it) Paradosso di Bertrand		63 556
8	Chinese (zh) 伯特蘭悖論		58 570
9	German (de) Bertrand-Paradoxon (Wahrscheinlichkeitstheorie)		43 355
10	Spanish (es) Paradoja de Bertrand		37 183

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

The most popular language versions of the article "Bertrand paradox (probability)" in June 2025

#	Language	Popularity award	Relative popularity
1	English (en) Bertrand paradox (probability)		4 332
2	Japanese (ja) ベルトランの逆説		891
3	Korean (ko) 베르트랑의 역설 (확률)		591
4	Russian (ru) Парадокс Бертрана (вероятность)		572
5	Chinese (zh) 伯特蘭悖論		488
6	French (fr) Paradoxe de Bertrand		453
7	German (de) Bertrand-Paradoxon (Wahrscheinlichkeitstheorie)		188
8	Polish (pl) Paradoks Bertranda		155
9	Spanish (es) Paradoja de Bertrand		126
10	Italian (it) Paradosso di Bertrand		125

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

Language versions of the article "Bertrand paradox (probability)" with the highest Authors Interest (number of authors). Only registered Wikipedia users were taken into account.

#	Language	AI award	Relative AI
1	English (en) Bertrand paradox (probability)		93
2	German (de) Bertrand-Paradoxon (Wahrscheinlichkeitstheorie)		85
3	Italian (it) Paradosso di Bertrand		38
4	French (fr) Paradoxe de Bertrand		37
5	Hebrew (he) הפרדוקס של ברטראן		25
6	Polish (pl) Paradoks Bertranda		23
7	Japanese (ja) ベルトランの逆説		17
8	Dutch (nl) Paradox van Bertrand (kansrekening)		15
9	Russian (ru) Парадокс Бертрана (вероятность)		15
10	Korean (ko) 베르트랑의 역설 (확률)		14

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

Language versions of the article "Bertrand paradox (probability)" with the highest AI in June 2025

#	Language	AI award	Relative AI
1	Japanese (ja) ベルトランの逆説		1
2	Arabic (ar) مفارقة برتراند		0
3	German (de) Bertrand-Paradoxon (Wahrscheinlichkeitstheorie)		0
4	English (en) Bertrand paradox (probability)		0
5	Esperanto (eo) Bertranda paradokso (probabloteorio)		0
6	Spanish (es) Paradoja de Bertrand		0
7	Persian (fa) پارادوکس برتراند		0
8	French (fr) Paradoxe de Bertrand		0
9	Hebrew (he) הפרדוקס של ברטראן		0
10	Armenian (hy) Բերտրանի պարադոքս		0

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

Language versions of the article "Bertrand paradox (probability)" with the highest Citation Index (CI)

#	Language	CI award	Relative CI
1	Japanese (ja) ベルトランの逆説		94
2	Ukrainian (uk) Парадокс Бертрана (теорія ймовірностей)		81
3	Armenian (hy) Բերտրանի պարադոքս		51
4	Persian (fa) پارادوکس برتراند		23
5	English (en) Bertrand paradox (probability)		21
6	French (fr) Paradoxe de Bertrand		12
7	Hebrew (he) הפרדוקס של ברטראן		10
8	Russian (ru) Парадокс Бертрана (вероятность)		8
9	Chinese (zh) 伯特蘭悖論		6
10	German (de) Bertrand-Paradoxon (Wahrscheinlichkeitstheorie)		5

More...

#	Language	Value
ar	Arabic مفارقة برتراند
de	German Bertrand-Paradoxon (Wahrscheinlichkeitstheorie)
en	English Bertrand paradox (probability)
eo	Esperanto Bertranda paradokso (probabloteorio)
es	Spanish Paradoja de Bertrand
fa	Persian پارادوکس برتراند
fr	French Paradoxe de Bertrand
he	Hebrew הפרדוקס של ברטראן
hy	Armenian Բերտրանի պարադոքս
it	Italian Paradosso di Bertrand
ja	Japanese ベルトランの逆説
ko	Korean 베르트랑의 역설 (확률)
lt	Lithuanian Bertrano paradoksas
nl	Dutch Paradox van Bertrand (kansrekening)
pl	Polish Paradoks Bertranda
ro	Romanian Paradoxul lui Bertrand (teoria probabilităților)
ru	Russian Парадокс Бертрана (вероятность)
uk	Ukrainian Парадокс Бертрана (теорія ймовірностей)
vi	Vietnamese Nghịch lý Bertrand (xác suất)
zh	Chinese 伯特蘭悖論

Best Rank

English: #60476 12.2021

Global: #81560 12.2021

Best Rank

English: #9798 10.2014

Global: #18742 10.2014

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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