Vacant Places (original) (raw)
In the card game bridge, the law or principle of vacant places is a simple method for estimating the probable location of any particular card in the four hands. It can be used both to aid in a decision at the table and to derive the entire suit division probability table. The principle of vacant places follows from Conditional Probability theory, which is based on Bayes Theorem. For a good background to bridge probabilities, and vacant places in particular, see Kelsey; see also the Official Encyclopedia of Bridge
Property | Value |
---|---|
dbo:abstract | In the card game bridge, the law or principle of vacant places is a simple method for estimating the probable location of any particular card in the four hands. It can be used both to aid in a decision at the table and to derive the entire suit division probability table. At the beginning of a deal, each of four hands comprises thirteen cards and one may say there are thirteen vacant places in each hand. The probability that a particular card lies in a particular hand is one-quarter, or 13/52, the proportion of vacant places in that hand. From the perspective of a player who sees one hand, the probable lie of a missing card in a particular one of the other hands is one-third. The principle of vacant places is a rule for updating those uniform probabilities as one learns about the deal during the auction and the play. Essentially, as the lies of some cards become known – especially as the entire distributions of some suits become known – the odds on location of any other particular card remain proportional to the dwindling numbers of unidentified cards in all hands, i.e. to the numbers of so-called vacant places. The principle of vacant places follows from Conditional Probability theory, which is based on Bayes Theorem. For a good background to bridge probabilities, and vacant places in particular, see Kelsey; see also the Official Encyclopedia of Bridge (en) |
dbo:wikiPageID | 25122884 (xsd:integer) |
dbo:wikiPageLength | 8266 (xsd:nonNegativeInteger) |
dbo:wikiPageRevisionID | 1106684853 (xsd:integer) |
dbo:wikiPageWikiLink | dbr:Percentage_play dbr:Contract_bridge dbr:Principle_of_restricted_choice dbc:Contract_bridge_probabilities dbr:Suit_combination dbr:Fargo_(TV_series) dbr:Card_game dbc:Contract_bridge_card_play dbr:Bridge_probabilities dbr:Conditional_Probability dbr:Weak_two_bid dbr:Safety_play dbr:Glossary_of_contract_bridge_terms dbr:Bayes_Theorem |
dbp:wikiPageUsesTemplate | dbt:BridgeSuitNS dbt:Hearts dbt:Redirect dbt:Short_description dbt:Spades dbt:Unreferenced_section dbt:WPCBIndex dbt:Thin_space dbt:Tone |
dcterms:subject | dbc:Contract_bridge_probabilities dbc:Contract_bridge_card_play |
gold:hypernym | dbr:Method |
rdf:type | dbo:Software yago:WikicatBridgeProbabilities yago:Abstraction100002137 yago:Measure100033615 yago:Probability105091770 |
rdfs:comment | In the card game bridge, the law or principle of vacant places is a simple method for estimating the probable location of any particular card in the four hands. It can be used both to aid in a decision at the table and to derive the entire suit division probability table. The principle of vacant places follows from Conditional Probability theory, which is based on Bayes Theorem. For a good background to bridge probabilities, and vacant places in particular, see Kelsey; see also the Official Encyclopedia of Bridge (en) |
rdfs:label | Vacant Places (en) |
owl:sameAs | freebase:Vacant Places wikidata:Vacant Places https://global.dbpedia.org/id/4x3eC yago-res:Vacant Places |
prov:wasDerivedFrom | wikipedia-en:Vacant_Places?oldid=1106684853&ns=0 |
foaf:isPrimaryTopicOf | wikipedia-en:Vacant_Places |
is dbo:wikiPageRedirects of | dbr:Law_of_Vacant_Places |
is dbo:wikiPageWikiLink of | dbr:List_of_play_techniques_(bridge) dbr:Contract_bridge_probabilities dbr:The_Law_of_Vacant_Places dbr:Suit_combination dbr:Law_of_Vacant_Places |
is foaf:primaryTopic of | wikipedia-en:Vacant_Places |