Парадокс Бертрана (теорія ймовірностей)

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Парадокс Бертрана (теорія ймовірностей)

Quality:

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 "Парадокс Бертрана (теорія ймовірностей)" in Ukrainian Wikipedia has 7.2 points for quality (as of July 1, 2025).

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

Since the creation of article "Парадокс Бертрана (теорія ймовірностей)", its content was written by 8 registered users of Ukrainian Wikipedia and edited by 412 registered Wikipedia users in all languages.

The article is cited 81 times in Ukrainian Wikipedia and cited 342 times in all languages.

The highest Authors Interest rank from 2001:

  • Local (Ukrainian): #4369 in June 2010
  • Global: #18742 in October 2014

The highest popularity rank from 2008:

  • Local (Ukrainian): #20642 in December 2011
  • 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.

Languages with the highest quality

#LanguageQuality gradeQuality score
1English (en)
Bertrand paradox (probability)
45.5954
2Korean (ko)
베르트랑의 역설 (확률)
43.9714
3Romanian (ro)
Paradoxul lui Bertrand (teoria probabilităților)
34.0867
4Vietnamese (vi)
Nghịch lý Bertrand (xác suất)
32.7917
5Chinese (zh)
伯特蘭悖論
31.2947
6Russian (ru)
Парадокс Бертрана (вероятность)
28.3185
7Armenian (hy)
Բերտրանի պարադոքս
27.0995
8German (de)
Bertrand-Paradoxon (Wahrscheinlichkeitstheorie)
22.0362
9Japanese (ja)
ベルトランの逆説
21.6716
10Esperanto (eo)
Bertranda paradokso (probabloteorio)
21.5039
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 "Парадокс Бертрана (теорія ймовірностей)" in all the time
#LanguagePopularity awardRelative popularity
1English (en)
Bertrand paradox (probability)
781 595
2Russian (ru)
Парадокс Бертрана (вероятность)
160 590
3Japanese (ja)
ベルトランの逆説
127 459
4French (fr)
Paradoxe de Bertrand
101 814
5Polish (pl)
Paradoks Bertranda
90 244
6Korean (ko)
베르트랑의 역설 (확률)
74 808
7Italian (it)
Paradosso di Bertrand
63 556
8Chinese (zh)
伯特蘭悖論
58 570
9German (de)
Bertrand-Paradoxon (Wahrscheinlichkeitstheorie)
43 355
10Spanish (es)
Paradoja de Bertrand
37 183
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 "Парадокс Бертрана (теорія ймовірностей)" in June 2025
#LanguagePopularity awardRelative popularity
1English (en)
Bertrand paradox (probability)
4 332
2Japanese (ja)
ベルトランの逆説
891
3Korean (ko)
베르트랑의 역설 (확률)
591
4Russian (ru)
Парадокс Бертрана (вероятность)
572
5Chinese (zh)
伯特蘭悖論
488
6French (fr)
Paradoxe de Bertrand
453
7German (de)
Bertrand-Paradoxon (Wahrscheinlichkeitstheorie)
188
8Polish (pl)
Paradoks Bertranda
155
9Spanish (es)
Paradoja de Bertrand
126
10Italian (it)
Paradosso di Bertrand
125
More...

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

The highest AI

Language versions of the article "Парадокс Бертрана (теорія ймовірностей)" with the highest Authors Interest (number of authors). Only registered Wikipedia users were taken into account.
#LanguageAI awardRelative AI
1English (en)
Bertrand paradox (probability)
93
2German (de)
Bertrand-Paradoxon (Wahrscheinlichkeitstheorie)
85
3Italian (it)
Paradosso di Bertrand
38
4French (fr)
Paradoxe de Bertrand
37
5Hebrew (he)
הפרדוקס של ברטראן
25
6Polish (pl)
Paradoks Bertranda
23
7Japanese (ja)
ベルトランの逆説
17
8Dutch (nl)
Paradox van Bertrand (kansrekening)
15
9Russian (ru)
Парадокс Бертрана (вероятность)
15
10Korean (ko)
베르트랑의 역설 (확률)
14
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 "Парадокс Бертрана (теорія ймовірностей)" with the highest AI in June 2025
#LanguageAI awardRelative AI
1Japanese (ja)
ベルトランの逆説
1
2Arabic (ar)
مفارقة برتراند
0
3German (de)
Bertrand-Paradoxon (Wahrscheinlichkeitstheorie)
0
4English (en)
Bertrand paradox (probability)
0
5Esperanto (eo)
Bertranda paradokso (probabloteorio)
0
6Spanish (es)
Paradoja de Bertrand
0
7Persian (fa)
پارادوکس برتراند
0
8French (fr)
Paradoxe de Bertrand
0
9Hebrew (he)
הפרדוקס של ברטראן
0
10Armenian (hy)
Բերտրանի պարադոքս
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 "Парадокс Бертрана (теорія ймовірностей)" with the highest Citation Index (CI)
#LanguageCI awardRelative CI
1Japanese (ja)
ベルトランの逆説
94
2Ukrainian (uk)
Парадокс Бертрана (теорія ймовірностей)
81
3Armenian (hy)
Բերտրանի պարադոքս
51
4Persian (fa)
پارادوکس برتراند
23
5English (en)
Bertrand paradox (probability)
21
6French (fr)
Paradoxe de Bertrand
12
7Hebrew (he)
הפרדוקס של ברטראן
10
8Russian (ru)
Парадокс Бертрана (вероятность)
8
9Chinese (zh)
伯特蘭悖論
6
10German (de)
Bertrand-Paradoxon (Wahrscheinlichkeitstheorie)
5
More...

Scores

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

Quality measures

Interwikis

#LanguageValue
arArabic
مفارقة برتراند
deGerman
Bertrand-Paradoxon (Wahrscheinlichkeitstheorie)
enEnglish
Bertrand paradox (probability)
eoEsperanto
Bertranda paradokso (probabloteorio)
esSpanish
Paradoja de Bertrand
faPersian
پارادوکس برتراند
frFrench
Paradoxe de Bertrand
heHebrew
הפרדוקס של ברטראן
hyArmenian
Բերտրանի պարադոքս
itItalian
Paradosso di Bertrand
jaJapanese
ベルトランの逆説
koKorean
베르트랑의 역설 (확률)
ltLithuanian
Bertrano paradoksas
nlDutch
Paradox van Bertrand (kansrekening)
plPolish
Paradoks Bertranda
roRomanian
Paradoxul lui Bertrand (teoria probabilităților)
ruRussian
Парадокс Бертрана (вероятность)
ukUkrainian
Парадокс Бертрана (теорія ймовірностей)
viVietnamese
Nghịch lý Bertrand (xác suất)
zhChinese
伯特蘭悖論

Popularity rank trends

Best Rank Ukrainian:
#20642
12.2011
Global:
#81560
12.2021

AI rank trends

Best Rank Ukrainian:
#4369
06.2010
Global:
#18742
10.2014

Local AI rank history

Languages comparison

Important global interconnections (July 2024 – June 2025)

Wikipedia readers most often find their way to information on Bertrand paradox from Wikipedia articles about Paradox, Buffons needle, Monty Hall problem, List of paradoxes and Boy or Girl paradox. Whereas reading the article about Bertrand paradox people most often go to Wikipedia articles on Principle of indifference, Joseph Louis François Bertrand, Bertrands paradox, Classical definition of probability and Edwin Thompson Jaynes.

Cumulative results of quality and popularity of the Wikipedia article

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

News from 12 August 2025

On 12 August 2025 in multilingual Wikipedia, Internet users most often read articles on the following topics: Cristiano Ronaldo, Wednesday, Georgina Rodríguez, ChatGPT, Weapons, Jenna Ortega, deaths in 2025, Taylor Swift, Miguel Uribe Turbay, 2025–26 UEFA Champions League.

In Ukrainian Wikipedia the most popular articles on that day were: Забарний Ілля Борисович, Аляска, Анкоридж (Аляска), Макс Корж, Венздей (2-й сезон), 1-й корпус НГУ «Азов», День молоді (Україна), Волинська трагедія, Кріштіану Роналду, Україна.

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