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- Nontransitive_dice abstract "A set of dice is nontransitive if it contains three dice, A, B, and C, with the property that A rolls higher than B more than half the time, and B rolls higher than C more than half the time, but it is not true that A rolls higher than C more than half the time. In other words, a set of dice is nontransitive if the binary relation – X rolls a higher number than Y more than half the time – on its elements is not transitive.It is possible to find sets of dice with the even stronger property that, for each die in the set, there is another die that rolls a higher number than it more than half the time. Using such a set of dice, one can invent games which are biased in ways that people unused to nontransitive dice might not expect (see Example).".
- Nontransitive_dice thumbnail Intransitive_dice_2.svg?width=300.
- Nontransitive_dice wikiPageExternalLink productCd-0471401692.html.
- Nontransitive_dice wikiPageExternalLink EfronsDice.html.
- Nontransitive_dice wikiPageExternalLink article.htm.
- Nontransitive_dice wikiPageExternalLink diceFinder.
- Nontransitive_dice wikiPageExternalLink nontran.htm.
- Nontransitive_dice wikiPageExternalLink non-transitive-dice.
- Nontransitive_dice wikiPageExternalLink www.miwin.com.
- Nontransitive_dice wikiPageExternalLink tricky-dice-revisited.
- Nontransitive_dice wikiPageID "4519119".
- Nontransitive_dice wikiPageLength "20125".
- Nontransitive_dice wikiPageOutDegree "37".
- Nontransitive_dice wikiPageRevisionID "682092636".
- Nontransitive_dice wikiPageWikiLink Bill_Gates.
- Nontransitive_dice wikiPageWikiLink Binary_relation.
- Nontransitive_dice wikiPageWikiLink Blotto_games.
- Nontransitive_dice wikiPageWikiLink Bradley_Efron.
- Nontransitive_dice wikiPageWikiLink Category:Dice.
- Nontransitive_dice wikiPageWikiLink Category:Probability_theory_paradoxes.
- Nontransitive_dice wikiPageWikiLink Conditional_probabilities.
- Nontransitive_dice wikiPageWikiLink Conditional_probability.
- Nontransitive_dice wikiPageWikiLink Dice.
- Nontransitive_dice wikiPageWikiLink Edward_O._Thorp.
- Nontransitive_dice wikiPageWikiLink Edward_Thorp.
- Nontransitive_dice wikiPageWikiLink File:Efron_c_d.svg.
- Nontransitive_dice wikiPageWikiLink Freivalds_algorithm.
- Nontransitive_dice wikiPageWikiLink Intransitivity.
- Nontransitive_dice wikiPageWikiLink Martin_Gardner.
- Nontransitive_dice wikiPageWikiLink Nontransitive.
- Nontransitive_dice wikiPageWikiLink Nontransitive_dice.
- Nontransitive_dice wikiPageWikiLink Nontransitive_game.
- Nontransitive_dice wikiPageWikiLink Oskar_van_Deventer.
- Nontransitive_dice wikiPageWikiLink Probability.
- Nontransitive_dice wikiPageWikiLink Transitive_relation.
- Nontransitive_dice wikiPageWikiLink Voting_paradox.
- Nontransitive_dice wikiPageWikiLink Warren_Buffett.
- Nontransitive_dice wikiPageWikiLink File:Efron_dice_2.svg.
- Nontransitive_dice wikiPageWikiLink File:Intransitive_dice_2.svg.
- Nontransitive_dice wikiPageWikiLink File:Miwin_Wuerfel_Titan.gif.
- Nontransitive_dice wikiPageWikiLink File:Primzahlen-Dodekaeder-PD_11bf.gif.
- Nontransitive_dice wikiPageWikiLink File:Primzahlen-Dodekaeder-PD_12bf.gif.
- Nontransitive_dice wikiPageWikiLink File:Primzahlen-Dodekaeder-PD_13bf.gif.
- Nontransitive_dice wikiPageWikiLink File:Primzahlen-Dodekaeder-PD_1bf.gif.
- Nontransitive_dice wikiPageWikiLink File:Primzahlen-Dodekaeder-PD_2bf.gif.
- Nontransitive_dice wikiPageWikiLink File:Primzahlen-Dodekaeder-PD_3bf.gif.
- Nontransitive_dice wikiPageWikiLink File:Standard-Dodekaeder-D_III.gif.
- Nontransitive_dice wikiPageWikiLink File:Standard-Dodekaeder-D_IV.gif.
- Nontransitive_dice wikiPageWikiLink File:Standard-Dodekaeder-D_V.gif.
- Nontransitive_dice wikiPageWikiLink File:Standard-Dodekaeder-D_VI.gif.
- Nontransitive_dice wikiPageWikiLink File:Standard-Dodekaeder-D_VII.gif.
- Nontransitive_dice wikiPageWikiLink File:Standard-Dodekaeder-D_VIII.gif.
- Nontransitive_dice wikiPageWikiLinkText "Efron's dice".
- Nontransitive_dice wikiPageWikiLinkText "Example".
- Nontransitive_dice wikiPageWikiLinkText "Nontransitive dice".
- Nontransitive_dice wikiPageWikiLinkText "Nontransitive dice#Efron's dice".
- Nontransitive_dice wikiPageWikiLinkText "nontransitive dice".
- Nontransitive_dice wikiPageWikiLinkText "nontransitive".
- Nontransitive_dice hasPhotoCollection Nontransitive_dice.
- Nontransitive_dice wikiPageUsesTemplate Template:Cite_book.
- Nontransitive_dice wikiPageUsesTemplate Template:Fraction.
- Nontransitive_dice wikiPageUsesTemplate Template:Main.
- Nontransitive_dice wikiPageUsesTemplate Template:Math.
- Nontransitive_dice wikiPageUsesTemplate Template:Reflist.
- Nontransitive_dice subject Category:Dice.
- Nontransitive_dice subject Category:Probability_theory_paradoxes.
- Nontransitive_dice type Article.
- Nontransitive_dice type Article.
- Nontransitive_dice comment "A set of dice is nontransitive if it contains three dice, A, B, and C, with the property that A rolls higher than B more than half the time, and B rolls higher than C more than half the time, but it is not true that A rolls higher than C more than half the time.".
- Nontransitive_dice label "Nontransitive dice".
- Nontransitive_dice sameAs Ikke-transitive_terninger.
- Nontransitive_dice sameAs Intransitive_Würfel.
- Nontransitive_dice sameAs Dados_no_transitivos.
- Nontransitive_dice sameAs Efronin_nopat.
- Nontransitive_dice sameAs Dés_non_transitifs.
- Nontransitive_dice sameAs מערכת_לא-טרנזיטיבית_של_משתנים_מקריים.
- Nontransitive_dice sameAs Ikketransitive_terninger.
- Nontransitive_dice sameAs m.0c6tgd.
- Nontransitive_dice sameAs Нетранзитивні_кубики.
- Nontransitive_dice sameAs Q591254.
- Nontransitive_dice sameAs Q591254.
- Nontransitive_dice wasDerivedFrom Nontransitive_dice?oldid=682092636.
- Nontransitive_dice depiction Intransitive_dice_2.svg.
- Nontransitive_dice homepage www.miwin.com.
- Nontransitive_dice isPrimaryTopicOf Nontransitive_dice.