Uláakʼ baʼaloʼob · Utiaʼal xook · 8 minuto

Áanalteʼob yoʼolal ruleta: utiaʼal xook

Le áanalteʼob yéetel le tsʼíibiloʼob yoʼolal ruleta tuʼux ku waʼatal le sitioaʼ, veintidós, tiʼ junpʼéel tratado tiʼ 1657 yoʼolal u tojol ku páaʼtaʼal tak junpʼéel libro de texto tiʼ 2025, yéetel junpʼéel tʼaan yoʼolal baʼaxten kʼaʼanaʼan cada junpʼéel.

Kóom núukbesaj

Le matemáticasoʼ (Huygens, Bernoulli, Halmos, Feller, Thorp, Epstein, Ethier, yéetel u túumben librooʼob de texto Bollman, Taylor yéetel Hunacek), le úuchben tsikbaloʼ (Lablée, Barnhart, Schwartz, Kavanagh, Marcus, Goldman), le físicaoʼ (Bass, Small & Tse) yéetel le junpʼéel novela maas maʼalob tiʼ tuláakaloʼob (Dostoevsky). Tuláakal baʼax yaan ich le sitioaʼ ku waʼatal yóokʼol le estanteaʼ.

maas úuchben
Huygens, 1657
maas túumben
Hunacek, 2025
u maas maʼalob junpʼéel libro
Ethier, 2010
u maas maʼalob novela
The Gambler, 1866

Matemáticas

meyajjaʼabbaʼaxten u xokaʼal
Huygens, De Ratiociniis in Ludo Aleae1657u yáax tsʼíibil yoʼolal u tojol ku páaʼtaʼal; tuʼux ku taal EV
Bernoulli, Ars Conjectandi1713u leyil nojoch xookoʼob, le maʼ tu naʼatikoʼob le sistemaʼoboʼ
Halmos, “Invariants of certain stochastic transformations”1939u yáax demostración general ku yeʼesik mix junpʼéel sistema apuesta ku kʼeexik le jóokʼol ku páaʼtaʼaloʼ
Feller, An Introduction to Probability Theory, vol. 11968u xuʼulul u taakʼin máax ku báaxal, xíimbal yéetel suerte, rachaʼob; le suuk libro utiaʼal xakʼal
Thorp, “Optimal gambling systems for favorable games”1969kéen u páajtal u yáantaj junpʼéel sistema apuesta (chéen ich junpʼéel báaxal ku yáantik máax ku báaxal) yéetel le baʼaloʼob yaan tu paach le jóokʼol “mix junpʼéel sistema”
Thorp, The Mathematics of Gambling1984u computadora ruleta tsikbaltaʼan tumen máax tu beetaj, yéetel u xookil bukaʼaj u tsʼaʼabal apuesta kéen yanak ventaja
Epstein, The Theory of Gambling and Statistical Logic2013 (2 ed.)tuláakal u báaxaloʼob casino xakʼaltaʼan; ruleta ichiloʼob
Ethier, The Doctrine of Chances2010u maas chukaʼan xakʼal matemático yoʼolal ruleta jóokʼsaʼan
Bollman, Mathematics of the Big Four Casino Table Games2021apuestaʼob tu tséel, ruedaʼob maʼ suukoʼob yéetel ruleta yéetel cartaʼob, u tojol junpʼéel junpʼéel, yéetel ejercicioʼob
Taylor, Games, Gambling, and Probability2021 (2 ed.)rachaʼob, apuesta Kelly yéetel u xuʼulul u taakʼin máax ku báaxal, meyajtaʼan je bix junpʼéel curso
Bollman, Basic Gambling Mathematics2024 (2 ed.)u promocionoʼob yéetel u devolucionoʼob casino, yéetel bukaʼaj séeba ku boʼotik u tabla jóokʼoloʼob u tojol tiʼ le casino
Hunacek, Quantitative Literacy Through Games and Gambling2025junpʼéel chʼaʼabil yáax curso; ilej le baʼax ku yaʼalik yoʼolal cada apuesta yaan u tojol ku páaʼtaʼal je bixoʼ, le apuesta tiʼ joʼopʼéel número ku pʼaʼatik

Úuchben tsikbal

meyajjaʼabbaʼaxten u xokaʼal
Lablée, La Roulette, ou le Jour1801u yáax chukaʼan tsolil le báaxaloʼ, ich junpʼéel novela
Barnhart, Beating the Wheel1992u tsikbalil báaxal yéetel u maʼ tojil rueda: Jagger, le máaxoʼob táanil tiʼ u Pelayoʼob, métodoʼob
Schwartz, Roll the Bones2006u general tsikbalil báaxal; u kúuchil ruleta ichil
Kavanagh, Dice, Cards, Wheels2005u miatsil báaxal ich Francia; le Palais-Royal yéetel u kajil baño
Marcus, American Roulette2003past-posting tsolbil ichil tumen u maas kʼaj óoltaʼan máax tu beetaj
Goldman, Great Gambling Scams2007Leigh ich Nice, Marcus yéetel le Ritz kaʼa tsikbaltaʼanoʼob; kuxaʼan tsʼíibil, yéetel kʼaʼas tiʼ yaʼab baʼaloʼob (ilej Tuus ich ruleta)

Física yéetel báaxal yéetel ventaja

meyajjaʼabbaʼaxten u xokaʼal
Bass, The Eudaemonic Pie1985u tsikbalil le computadora ich xanab; u maas maʼalob libro utiaʼal tuláakal máak yoʼolal u física ruleta
Small & Tse, “Predicting the outcome of roulette”2012u física u yaʼalaʼal baʼax ken u jóokʼol, pʼiisbil; baʼax kʼaʼabéet utiaʼal ventaja
Pearson, “On the criterion…”1900u xakʼalil chi-cuadrado, eʼesaʼan yéetel u suutoʼob ruleta

U física u rueda ruleta

Le novelaoʼ

Dostoevsky, The Gambler (1866). Tsʼíibtaʼab ich 26 kʼiin utiaʼal u chukik u kʼiinil u contrato yéetel u editorial, tumen junpʼéel j-tsʼíib yaan yaʼab u pʼaax tumen ruleta; u kʼaʼas tuukul máax ku báaxal, le sistemaoʼ, le maʼ u páajtal u xuʼulul máak yéetel u casino u kajil baño, ilaʼanoʼob ichil. Maas kóom tiʼ je máakalmáak libro ruleta yaan tu kaʼanil yéetel maas jaaj tiʼ u maas yaʼabiloʼob.

Bad Homburg yéetel u casinoʼob u kajil bañoU Roulettenburg Dostoevsky

U maas maʼalob áanalteʼob yoʼolal ruleta utiaʼal cada baʼal

Utiaʼal le xookoʼ, Ethier ka tsʼoʼokokeʼ Feller. Utiaʼal le tsikbaloʼoboʼ, Barnhart yéetel Bass. Utiaʼal baʼaxten ku báaxal máak kex beyoʼ, Dostoevsky. Utiaʼal le demostración ku xuʼulsik cada tʼaan yoʼolal sistemaʼob, Halmos, yéetel utiaʼal le jóokʼol je bixoʼ ich chʼaʼabil tʼaan, u libro Thorp tiʼ 1984. Utiaʼal ejercicioʼob, Taylor wa Bollman. U caja Sources tiʼ cada artículo ich le sitioaʼ ku chʼaʼik baʼal tiʼ le estanteaʼ.

Kʼáatchiʼob

Yaan wa maʼalob áanalteʼob yoʼolal u estrategia ruleta?

Mix junpʼéel ku konik junpʼéel sistema. U libro Thorp tiʼ 1984 yaan junpʼéel kóom capítulo yoʼolal baʼaxten ku sáataloʼob; Epstein yéetel Ethier ku tsolikoʼob bix cada junpʼéel.

Tuʼux je u páajtal in xokik Pearson wa Huygens?

Le kaʼatúulaʼ minaʼan u derechoʼob autor yéetel yaanoʼob online. Pearson jach talam; Huygens kóom yéetel chʼaʼabil u xokaʼal ich traducción.

Utiaʼal a cheʼej

Tuláakal baʼax yaan ich le sitioaʼ junpʼéel chan tsʼíib tu yalam le estanteaʼ.

Tuláakal baʼax yaan ich le sitioaʼ junpʼéel chan tsʼíib tu yalam le estanteaʼ.

Fuenteʼob

  1. Ethier, S. N. The Doctrine of Chances: Probabilistic Aspects of Gambling. Springer, 2010. Capítulo 13, ruleta.
  2. Feller, W. An Introduction to Probability Theory and Its Applications, Vol. 1. Wiley, 3rd ed., 1968. Gambler’s ruin, capítulo XIV.
  3. Halmos, P. R. “Invariants of certain stochastic transformations: the mathematical theory of gambling systems.” Duke Mathematical Journal 5(2), 1939.
  4. Thorp, E. O. “Optimal gambling systems for favorable games.” Review of the International Statistical Institute 37(3), 1969.
  5. Thorp, E. O. The Mathematics of Gambling. Gambling Times / Lyle Stuart, 1984.
  6. Bass, T. A. The Eudaemonic Pie. Houghton Mifflin, 1985.
  7. Barnhart, R. T. Beating the Wheel. Lyle Stuart, 1992.
  8. Bollman, M. Mathematics of the Big Four Casino Table Games: Blackjack, Baccarat, Craps, & Roulette. CRC Press, 2021. Capítulo 2, ruleta.
  9. Bollman, M. Basic Gambling Mathematics: The Numbers Behind the Neon, 2nd ed. CRC Press, 2024.
  10. Taylor, D. G. Games, Gambling, and Probability: An Introduction to Mathematics, 2nd ed. CRC Press, 2021.
  11. Hunacek, M. Quantitative Literacy Through Games and Gambling. Chapman & Hall/CRC, 2025.
  12. Marcus, R. American Roulette: How I Turned the Odds Upside Down. St. Martin’s Press, 2003.
  13. Goldman, N. Great Gambling Scams. John Blake, 2007.
Yóokʼol toʼonFuenteʼobÚuchben tsikbal yéetel miatsilRuleta ich literaturaÚuchben tsikbal yéetel miatsilU úuchben tsikbalil u sistemaʼob ruletaÚuchben tsikbal yéetel miatsilLe Eudaemonsoʼ
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