Banach's matchbox problem (original) (raw)
Probabilitate teorian, Banachen pospolo kaxaren ebazkizuna ebazkizun klasiko bat da. Matematikari batek pospolo kaxa bana darama ezker eta eskuineko patriketan. Pospolo bat behar duen bakoitzean, edozein kaxa aukeratzen du probabilitate berdinez. Halako batean, edozein patrikatako kaxa hartu eta hutsik dagoela konturatzen da. Kaxa bakoitzak hasieran N pospolo zituelarik, zenbatekoa da beste kaxan k pospolo geratzeko probabilitatea?
| Property | Value |
|---|---|
| dbo:abstract | Banach's match problem is a classic problem in probability attributed to Stefan Banach. Feller says that the problem was inspired by a humorous reference to Banach's smoking habit in a speech honouring him by Hugo Steinhaus, but that it was not Banach who set the problem or provided an answer. Suppose a mathematician carries two matchboxes at all times: one in his left pocket and one in his right. Each time he needs a match, he is equally likely to take it from either pocket. Suppose he reaches into his pocket and discovers for the first time that the box picked is empty. If it is assumed that each of the matchboxes originally contained matches, what is the probability that there are exactly matches in the other box? (en) Probabilitate teorian, Banachen pospolo kaxaren ebazkizuna ebazkizun klasiko bat da. Matematikari batek pospolo kaxa bana darama ezker eta eskuineko patriketan. Pospolo bat behar duen bakoitzean, edozein kaxa aukeratzen du probabilitate berdinez. Halako batean, edozein patrikatako kaxa hartu eta hutsik dagoela konturatzen da. Kaxa bakoitzak hasieran N pospolo zituelarik, zenbatekoa da beste kaxan k pospolo geratzeko probabilitatea? (eu) Banachs lucifersprobleem (Banach Match Problem, Banach's Matchbox Problem) is een probleem uit de kansrekening toegeschreven aan Stefan Banach. (nl) |
| dbo:thumbnail | wiki-commons:Special:FilePath/Banach_Matchbox.png?width=300 |
| dbo:wikiPageExternalLink | http://www-stat.stanford.edu/~susan/surprise/Banach.html |
| dbo:wikiPageID | 9759038 (xsd:integer) |
| dbo:wikiPageLength | 2569 (xsd:nonNegativeInteger) |
| dbo:wikiPageRevisionID | 1104214033 (xsd:integer) |
| dbo:wikiPageWikiLink | dbc:Applied_probability dbr:Hugo_Steinhaus dbr:Stefan_Banach dbr:Stirling's_approximation dbc:Probability_problems dbr:Probability dbr:Negative_binomial_distribution dbr:List_of_things_named_after_Stefan_Banach dbr:File:Banach_Matchbox.png |
| dbp:wikiPageUsesTemplate | dbt:Reflist |
| dct:subject | dbc:Applied_probability dbc:Probability_problems |
| rdf:type | yago:WikicatNamedProbabilityProblems yago:Abstraction100002137 yago:Attribute100024264 yago:Condition113920835 yago:Difficulty114408086 yago:Problem114410605 yago:State100024720 |
| rdfs:comment | Probabilitate teorian, Banachen pospolo kaxaren ebazkizuna ebazkizun klasiko bat da. Matematikari batek pospolo kaxa bana darama ezker eta eskuineko patriketan. Pospolo bat behar duen bakoitzean, edozein kaxa aukeratzen du probabilitate berdinez. Halako batean, edozein patrikatako kaxa hartu eta hutsik dagoela konturatzen da. Kaxa bakoitzak hasieran N pospolo zituelarik, zenbatekoa da beste kaxan k pospolo geratzeko probabilitatea? (eu) Banachs lucifersprobleem (Banach Match Problem, Banach's Matchbox Problem) is een probleem uit de kansrekening toegeschreven aan Stefan Banach. (nl) Banach's match problem is a classic problem in probability attributed to Stefan Banach. Feller says that the problem was inspired by a humorous reference to Banach's smoking habit in a speech honouring him by Hugo Steinhaus, but that it was not Banach who set the problem or provided an answer. (en) |
| rdfs:label | Banach's matchbox problem (en) Banachen pospolo kaxaren ebazkizuna (eu) Banachs lucifersprobleem (nl) |
| owl:sameAs | freebase:Banach's matchbox problem yago-res:Banach's matchbox problem wikidata:Banach's matchbox problem dbpedia-eu:Banach's matchbox problem dbpedia-fa:Banach's matchbox problem dbpedia-fi:Banach's matchbox problem dbpedia-nl:Banach's matchbox problem https://global.dbpedia.org/id/42cTQ |
| prov:wasDerivedFrom | wikipedia-en:Banach's_matchbox_problem?oldid=1104214033&ns=0 |
| foaf:depiction | wiki-commons:Special:FilePath/Banach_Matchbox.png |
| foaf:isPrimaryTopicOf | wikipedia-en:Banach's_matchbox_problem |
| is dbo:wikiPageRedirects of | dbr:Banach's_Matchbox_Problem dbr:Banach's_matchbox dbr:Banach_match_problem |
| is dbo:wikiPageWikiLink of | dbr:Hugo_Steinhaus dbr:Banach's_Matchbox_Problem dbr:List_of_things_named_after_Stefan_Banach dbr:Banach's_matchbox dbr:Banach_match_problem |
| is foaf:primaryTopic of | wikipedia-en:Banach's_matchbox_problem |
