Category:Bertrand's paradox

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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?
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Random Endpoints method: Pick 2 random points on the circumference of the circle; draw the chord joining them. To find the probability: rotate the triangle so its vertex coincides with one of the chord endpoints. The chord is longer iff the other chord endpoint lies on the arc between the endpoints of the triangle side opposite the 1st point. So the probability is ⅓.
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Instance of paradox
Named after
Discoverer or inventor
Inception
  • 1889
Authority control
Wikidata
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Paradoja de Bertrand (es); paradoxe de Bertrand (fr); Парадокс Бертрана (вероятность) (ru); Bertrand-Paradoxon (de); Paradacsa Bertrand (ga); پارادوکس برتراند (fa); 伯特蘭悖論 (概率論) (zh); Bertrano paradoksas (lt); Paradoxul lui Bertrand (teoria probabilităților) (ro); ベルトランの逆説 (ja); paradoks Bertranda (pl); הפרדוקס של ברטראן (he); paradox van Bertrand (nl); 베르트랑의 역설 (확률) (ko); Bertrand paradox (en); Bertranda paradokso (eo); Парадокс Бертрана (теорія ймовірностей) (uk); paradosso di Bertrand (it) problema dentro de la interpretación clásica de la teoría de la probabilidad (es); paradokso aŭ problemo de probabloteorio: kiom estas la probablo ke hazarde elektita ŝnuro sur iu cirklo estas pli longa ol latero de egallatera triangulo enskribita en tiu cirklo? (eo); 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? (en); kansrekening (nl) ベルトランのパラドックス, ベルトランの逆理 (ja); paradoxe de bertrand (fr); Бертрана парадокс (Теорія ймовірностей) (uk); paradokso de Bertrand (eo); הפרדוקס של ברטרנד, הפרדוקס של ברטרן (he); Bertrano uždavinys, Bertrand paradoksas, Bertrand uždavinys (lt)

Media in category "Bertrand's paradox"

The following 26 files are in this category, out of 26 total.