Dheeraad · Liis akhris · 8 daqiiqo

Buugaagta Roulette: Liis Akhris

Buugaagta iyo qoraallada roulette ee goobtani ku dhisan tahay, labaatan iyo laba ka mid ah, laga bilaabo qoraal 1657 ah oo ku saabsan rajada ilaa buug-waxbarasho 2025 ah, iyo hal weedh oo sharxaysa sababta mid kastaa muhiim u yahay.

Jawaab gaaban

Xisaabta (Huygens, Bernoulli, Halmos, Feller, Thorp, Epstein, Ethier, iyo buugaagta waxbarasho ee dhawaan ee Bollman, Taylor iyo Hunacek), taariikhda (Lablée, Barnhart, Schwartz, Kavanagh, Marcus, Goldman), fiisigiska (Bass, Small & Tse) iyo hal sheeko oo ka wanaagsan dhammaantood (Dostoevsky). Wax kasta oo goobtan ku jira wuxuu ku dhisan yahay khaanaddan.

kan ugu da'da weyn
Huygens, 1657
kan ugu cusub
Hunacek, 2025
buugga keliya ee ugu wanaagsan
Ethier, 2010
sheekada ugu wanaagsan
The Gambler, 1866

Xisaabta

shaqadasannadkasababta loo akhriyo
Huygens, De Ratiociniis in Ludo Aleae1657sharraxaaddii ugu horreysay ee la daabaco ee rajada; halka EV ka yimid
Bernoulli, Ars Conjectandi1713sharciga tirooyinka waaweyn, kaas oo nidaamyadu si khaldan u fahmaan
Halmos, “Invariants of certain stochastic transformations”1939caddayntii guud ee ugu horreysay ee ah in nidaam sharad kastaa uusan beddelin natiijada la filayo
Feller, An Introduction to Probability Theory, vol. 11968burburka khamaarlaha, socodka nasiibka, taxanayaasha; tixraaca caadiga ah
Thorp, “Optimal gambling systems for favorable games”1969goorta nidaamyada sharadku caawin karaan (ciyaar adiga kuu roon oo keliya) iyo shuruudaha ka dambeeya natiijada “nidaam ma jiro”
Thorp, The Mathematics of Gambling1984kombiyuutarka roulette oo uu sheegay qofkii hindisay, iyo xisaabta inta lagu sharadsado marka faa'iido aad haysato
Epstein, The Theory of Gambling and Statistical Logic2013 (daabacaadda 2aad)ciyaar kasta oo kasiino oo la falanqeeyay; roulette iyo meesheeda
Ethier, The Doctrine of Chances2010sharraxaadda xisaabeed ee ugu dhammaystiran ee roulette ee la daabacay
Bollman, Mathematics of the Big Four Casino Table Games2021sharadyada dhinaca, giraangirada aan caadiga ahayn iyo roulette kaararka oo mid mid loo qiimeeyay, oo leh layliyo
Taylor, Games, Gambling, and Probability2021 (daabacaadda 2aad)taxanayaasha, sharadka Kelly iyo burburka khamaarlaha oo loo shaqeeyay sida koorso
Bollman, Basic Gambling Mathematics2024 (daabacaadda 2aad)dallacaadaha iyo lacag-celinta kasiinooyinka, iyo sida degdegga ah ee looxa natiijooyinku kasiinada ugu bixiyo qiimihiisa
Hunacek, Quantitative Literacy Through Games and Gambling2025koorso hore oo fudud; hubi sheegashadiisa ah in sharad kastaa leeyahay qiime la filayo oo isku mid ah, taas oo sharadka shanta lambar jebiyo

Taariikh

shaqadasannadkasababta loo akhriyo
Lablée, La Roulette, ou le Jour1801sharraxaaddii buuxda ee ugu horreysay ee ciyaarta, sheeko gudaheed
Barnhart, Beating the Wheel1983taariikhda ciyaarta eexda: Jagger, kuwii ka horreeyay Pelayo-yada, hababka
Schwartz, Roll the Bones2006taariikhda guud ee khamaarka; meesha roulette kaga jirto
Kavanagh, Dice, Cards, Wheels2005dhaqanka khamaarka Faransiiska; Palais-Royal iyo magaalooyinka biyaha kulul
Marcus, American Roulette2003past-posting oo gudaha laga sharxay, waxaana qoray qofka ugu caansan ee sameeya
Goldman, Great Gambling Scams2007Leigh ee Nice, Marcus iyo Ritz oo dib loo sheegay; xiiso leh, laakiin ku qaldan dhowr xaqiiqo (eeg Khiyaanada Roulette)

Fiisigiska iyo ciyaarta faa'iido-raadinta

shaqadasannadkasababta loo akhriyo
Bass, The Eudaemonic Pie1985sheekada kombiyuutarka kabaha ku jira; buugga caanka ah ee ugu wanaagsan ee fiisigiska roulette
Small & Tse, “Predicting the outcome of roulette”2012fiisigiska saadaalinta, oo la cabbiray; waxa faa'iido u baahan tahay
Pearson, “On the criterion…”1900imtixaanka chi-square, oo lagu muujiyay wareegyada roulette

Fiisigiska Giraangirta Roulette

Sheekada

Dostoevsky, The Gambler (1866). Waxaa lagu qoray 26 maalmood si loo gaaro waqtiga kama dambaysta ah ee qandaraaska daabacaha, waxaana qoray qoraa deyn culus kaga jirtay roulette; khaladka khamaarlaha, nidaamka, qabatinka iyo kasiinada magaalada biyaha kulul oo gudaha laga arkay. Waa ka gaaban yahay buug kasta oo roulette ah oo kor ku xusan, wuxuuna ka run badan yahay intooda badan.

Bad Homburg iyo Kasiinooyinka Magaalooyinka Biyaha KululRoulettenburg-ka Dostoevsky

Buugaagta roulette ee ugu wanaagsan ujeeddo kasta

Xisaabta, Ethier kadibna Feller. Sheekooyinka, Barnhart iyo Bass. Sababta dadku u ciyaaraan si kasta ha ahaatee, Dostoevsky. Caddaynta soo afjarta dood kasta oo nidaam, Halmos, natiijo isku mid ah oo erayo fudud ahna, buugga Thorp ee 1984. Layliyada, Taylor ama Bollman. Sanduuqa Ilaha ee maqaal kasta oo goobtan ku jira wuxuu ka soo xigtaa khaanaddan.

Su'aalo

Ma jiraan buugaag istaraatiijiyad roulette oo wanaagsan?

Midkoodna ma jiro oo nidaam iibiya. Buugga Thorp ee 1984 wuxuu leeyahay cutub gaaban oo ku saabsan sababta ay u fashilmaan; Epstein iyo Ethier waxay daboolaan qaabka mid kasta.

Halkee ka akhrin karaa Pearson ama Huygens?

Labaduba xuquuqda daabacaadda way ka baxeen waxayna yaallaan online. Pearson waa culus yahay; Huygens waa gaaban yahay oo si la yaab leh loo akhrin karaa tarjumaad ahaan.

Kaftan yar

Wax kasta oo goobtan ku jira waa faallo hoose oo khaanaddan ah.

Wax kasta oo goobtan ku jira waa faallo hoose oo khaanaddan ah.

Ilaha

  1. Ethier, S. N. The Doctrine of Chances: Probabilistic Aspects of Gambling. Springer, 2010. Cutubka 13, roulette.
  2. Feller, W. An Introduction to Probability Theory and Its Applications, Vol. 1. Wiley, daabacaadda 3aad, 1968. Burburka khamaarlaha, cutubka 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, 1983.
  8. Bollman, M. Mathematics of the Big Four Casino Table Games: Blackjack, Baccarat, Craps, & Roulette. CRC Press, 2021. Cutubka 2, roulette.
  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.
la eegay 2026-09-28model: Yurub, hal eberhabka shaqada ↗ilaha ↗