Ɓeydaari · Doggol taro · hojomaaji 8

Defte Ruleet: Doggol Taro

Defte e binndi ruleet ɗi lowre ndee tuugii heen, noogaas e ɗiɗi, gila e defte 1657 e njaru fodaandu haa e deftere jaŋde 2025, e konngol gootol e ko waɗi kala ina teddi.

Jaabawol rabbiɗngol

Matematik (Huygens, Bernoulli, Halmos, Feller, Thorp, Epstein, Ethier, e defte jaŋde kesɗe Bollman, Taylor e Hunacek), taariika (Lablée, Barnhart, Schwartz, Kavanagh, Marcus, Goldman), fiisik (Bass, Small & Tse) e romaa gootoo ɓurɗo ɗi fof (Dostoevsky). Kala ko woni e lowre ndee ina tuugii e ndee taɓɓorde.

ɓurnde naywude
Huygens, 1657
ɓurnde hesɗude
Hunacek, 2025
deftere wootere ɓurnde moƴƴude
Ethier, 2010
romaa ɓurɗo moƴƴude
The Gambler, 1866

Matematik

gollehitaandeko waɗi tarde ɗum
Huygens, De Ratiociniis in Ludo Aleae1657firo aranɗo muulaaɗo e njaru fodaandu; ɗoo EV iwi
Bernoulli, Ars Conjectandi1713sariya limooje mawɗe, mo sistemji faamaani
Halmos, “Invariants of certain stochastic transformations”1939seedantaagal aranal kuuɓal wonde alaa sistem pari waylotoongo njeñtudi fodaandi
Feller, An Introduction to Probability Theory, vol. 11968majjinde kaalis fof fijoowo, yahduuji sahaa, jokkondire; deftere tuugorde
Thorp, “Optimal gambling systems for favorable games”1969nde sistemji pari mbaawi wallude (e fijo ɓural fijoowo tan) e sartuuji ɗi njeñtudi “alaa sistem” tuugii heen
Thorp, The Mathematics of Gambling1984ordinateer ruleet, no tagoowo mum habrirta, e hiisa ko foti ko pariyetee e ɓural
Epstein, The Theory of Gambling and Statistical Logic2013 (yeeyannde 2ɓiire)kala fijo kasino ƴeewtaama; ruleet e nder ɗiin
Ethier, The Doctrine of Chances2010firo matematik ruleet ɓurɗo timmude e ko muulaa
Bollman, Mathematics of the Big Four Casino Table Games2021pariiji sera, taarorɗe ndeenaaka e ruleet kaartaaji, kala e coggu mum, e golle
Taylor, Games, Gambling, and Probability2021 (yeeyannde 2ɓiire)jokkondire, pari Kelly e majjinde kaalis fof fijoowo, ɗi njanngaa no jaŋde
Bollman, Basic Gambling Mathematics2024 (yeeyannde 2ɓiire)promosiyoŋ e ruttinanɗe kasino, e no tabalo njeñtuɗi yoɓirta hoore mum yaawngo ngam kasino
Hunacek, Quantitative Literacy Through Games and Gambling2025jaŋde aranere hoynde; ƴeew ko o wiyi wonde kala pari ina jogii njaru fodaandu gootuyee, ko pari limooje joy fooli

Taariika

gollehitaandeko waɗi tarde ɗum
Lablée, La Roulette, ou le Jour1801sifaa timmuɗo aranɗo fijo ngoo, e nder romaa
Barnhart, Beating the Wheel1992taariika fijo ooñol: Jagger, adiiɓe Pelayo ɓee, laabi
Schwartz, Roll the Bones2006taariika fijo kaalis fof; nokku ruleet e nder mum
Kavanagh, Dice, Cards, Wheels2005pinal fijo kaalis Farayse; Palais-Royal e gure ndiyam cellal
Marcus, American Roulette2003waɗde pari caggal njeñtudi, sifaa gila e nder, e golloowo mum ɓurɗo lollude
Goldman, Great Gambling Scams2007Leigh e Nice, Marcus e Ritz, habraaɓe kadi; ina weli, tee ina juumi e goonɗe ɗuuɗɗe (ƴeew Janfa e Ruleet)

Fiisik e fijo ɓural

gollehitaandeko waɗi tarde ɗum
Bass, The Eudaemonic Pie1985taariika ordinateer pade; deftere renndo ɓurnde moƴƴude e fiisik ruleet
Small & Tse, “Predicting the outcome of roulette”2012fiisik anndugol ko yaltata, betaaɗo; ko ɓural sokli
Pearson, “On the criterion…”1900ƴeewndo kii-kaare, hollaaɗo e taarle ruleet

Fiisik Taarorde Ruleet

Romaa oo

Dostoevsky, The Gambler (1866). Winndaa e nder ñalɗi 26 ngam heɓde sahaa keertaaɗo e aadi muulnoowo, e winndoowo luggiɗo e ñamaande ruleet; juumre fijoowo kaalis, sistem, jikku e kasino gure ndiyam cellal gila e nder. Ina ɓuri raɓɓidde kala deftere ruleet dow ndee tee ina ɓuri goonga ko ɓuri heewde e majje.

Bad Homburg e Kasinooji Gure Ndiyam CellalRoulettenburg Dostoevsky

Defte ruleet ɓurɗe moƴƴude e kala faandaare

Ngam hiisa, Ethier refti Feller. Ngam taariikaaji, Barnhart e Bass. Ngam ko waɗi yimɓe ina pija hay e ɗum, Dostoevsky. Ngam seedantaagal timminoowal kala yeddondiral e sistem, Halmos, tee ngam njeñtudi ndin e konngi yaajɗi, deftere Thorp 1984. Ngam golle, Taylor walla Bollman. Kaaje Iwdiiji e kala winndannde e lowre ndee ina ƴetta e ndee taɓɓorde.

Naamne

Mbela defte dabare ruleet moƴƴe ina ngoodi?

Alaa nde yeeyata sistem. Deftere Thorp 1984 ina jogii kapitol raɓɓiɗo e ko waɗi ɗi ngasata; Epstein e Ethier ina ƴeewta mbaadi kala gooto.

Hol ɗo mi taroto Pearson walla Huygens?

Ɗiɗo ɓee fof jeyaaka kadi e hakke winndoowo tee ina ngoodi e internet. Pearson ina tiiɗi; Huygens ina raɓɓidi tee ina newnii tarde e firo, ɗum ina haawnii.

Ƴeewndo weltinoowo

Kala ko woni e lowre ndee ko tinndinoore ndee taɓɓorde.

Kala ko woni e lowre ndee ko tinndinoore ndee taɓɓorde.

Iwdi

  1. Ethier, S. N. The Doctrine of Chances: Probabilistic Aspects of Gambling. Springer, 2010. Kapitol 13, ruleet.
  2. Feller, W. An Introduction to Probability Theory and Its Applications, Vol. 1. Wiley, yeeyannde 3ɓiire, 1968. Majjinde kaalis fof fijoowo, kapitol 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. Kapitol 2, ruleet.
  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.
ƴeewtaa 2026-09-28misal: ruleet Orop, seero gootolaawol golle ↗iwdi ↗