Fɛn wɛrɛw · Kalan lisi · miniti 8

Rulɛti gafew: kalan lisi

Rulɛti gafe ni sɛbɛn minw kan siti in sigilen don, mugan ni fila, ka bɔ san 1657 sɛbɛn na min bɛ hakɛ makɔnɔnen ɲɛfɔ ka se san 2025 kalan gafe ma, ni kuma kelen ye min b'a fɔ mun na u kelen kelen bɛɛ nafa ka bon.

Jaabi surun

Jatebɔ (Huygens, Bernoulli, Halmos, Feller, Thorp, Epstein, Ethier, ani Bollman, Taylor ni Hunacek ka kalan gafe kuraw), tariku (Lablée, Barnhart, Schwartz, Kavanagh, Marcus, Goldman), fizikiya (Bass, Small & Tse) ani romanu kelen min ka fisa ni olu bɛɛ ye (Dostoevsky). Fɛn o fɛn bɛ siti in kan, o sigilen bɛ nin gafew de kan.

a kɔrɔbaba
Huygens, 1657
a kuraba
Hunacek, 2025
gafe kelen min ka fisa
Ethier, 2010
romanu min ka fisa
The Gambler, 1866

Jatebɔ

sɛbɛnsanmun na a kalan
Huygens, De Ratiociniis in Ludo Aleae1657hakɛ makɔnɔnen ɲɛfɔli fɔlɔ min bɔra gafe la; EV bɔra yan
Bernoulli, Ars Conjectandi1713jate caman sariya, fɛɛrɛw tɛ min faamu
Halmos, “Invariants of certain stochastic transformations”1939dalilu fɔlɔ min b'a jira pari fɛɛrɛ si tɛ jaabi makɔnɔnen yɛlɛma
Feller, An Introduction to Probability Theory, vol. 11968tulonkɛla ka wari bɛɛ tununni, taama ni sababu tɛ, tugutuguliw; gafe min bɛ lajɛ tuma bɛɛ
Thorp, “Optimal gambling systems for favorable games”1969pari fɛɛrɛw bɛ se ka dɛmɛ kɛ tuma min na (tulon dɔrɔn na min nafa bɛ tulonkɛla bolo) ani sariyaw minw bɛ «fɛɛrɛ si tɛ» jaabi kɔ
Thorp, The Mathematics of Gambling1984rulɛti ɔridinatɛri, a dilabaga yɛrɛ y'a lakali, ni jatebɔ ye min b'a jira i ka kan ka pari kɛ ni joli ye ni nafa bɛ i bolo
Epstein, The Theory of Gambling and Statistical Logic2013 (bɔli 2nan)kazino tulon bɛɛ sɛgɛsɛgɛlen; rulɛti u cɛma
Ethier, The Doctrine of Chances2010rulɛti jatebɔ ɲɛfɔli min dafalen don ka tɛmɛ tɔw bɛɛ kan gafe la
Bollman, Mathematics of the Big Four Casino Table Games2021kɛrɛfɛ pariw, munumunufɛn kabakomaw ani karata rulɛti, u kelen kelen bɛɛ sɔngɔ jatelen don, ni degeliw ye
Taylor, Games, Gambling, and Probability2021 (bɔli 2nan)tugutuguliw, Kelly pari ani tulonkɛla ka wari bɛɛ tununni, kalan cogo la
Bollman, Basic Gambling Mathematics2024 (bɔli 2nan)kazino ka bonyaliw ni wari seginni, ani jaabi walan bɛ a yɛrɛ sɔngɔ segin kazino ma joona cogo min na
Hunacek, Quantitative Literacy Through Games and Gambling2025kalan fɔlɔ nɔgɔman; a ka kuma lajɛ ko pari bɛɛ hakɛ makɔnɔnen ye kelen ye, nimɔrɔ duuru pari bɛ min tiɲɛ

Tariku

sɛbɛnsanmun na a kalan
Lablée, La Roulette, ou le Jour1801tulon ɲɛfɔli dafalen fɔlɔ, romanu dɔ kɔnɔ
Barnhart, Beating the Wheel1992munumunufɛn jengoli tulon tariku: Jagger, Pelayow ɲɛmɔgɔw, fɛɛrɛw
Schwartz, Roll the Bones2006wari tulon tariku bɛɛ; rulɛti ka yɔrɔ a kɔnɔ
Kavanagh, Dice, Cards, Wheels2005Faransi wari tulon laada; Palais-Royal ani ji funteni duguw
Marcus, American Roulette2003pari kɛli jaabi bɔlen kɔ, a kɛbaga tɔgɔba yɛrɛ y'a ɲɛfɔ ka bɔ a kɔnɔ
Goldman, Great Gambling Scams2007Leigh Nice dugu la, Marcus ani Ritz lakalilen kokura; a ka di, nka a filila ko caman na (Rulɛti nanbara lajɛ)

Fizikiya ani nafa ɲinini tulon

sɛbɛnsanmun na a kalan
Bass, The Eudaemonic Pie1985sabara kɔnɔ ɔridinatɛri lakali; rulɛti fizikiya gafe min ka fisa jama ma
Small & Tse, “Predicting the outcome of roulette”2012jaabi dɔnni fizikiya, sumanen; nafa bɛ min de ɲini
Pearson, “On the criterion…”1900chi-kare sɛgɛsɛgɛli, a jirala rulɛti munumunuliw kan

Rulɛti munumunufɛn fiziki

Romanu

Dostoevsky, The Gambler (1866). A sɛbɛnna tile 26 kɔnɔ walasa ka se gafe bɔbaga ka bɛnkansɛbɛn waati laban ma, sɛbɛnbaga min tun ye juru ba ta rulɛti fɛ; tulonkɛla ka fili, fɛɛrɛ, wari tulon jɔnya ani ji funteni dugu kazino, ka bɔ u kɔnɔ. A ka surun ni rulɛti gafe o gafe ye sanfɛ, ani a ka tiɲɛ ka tɛmɛ u caman kan.

Bad Homburg ni ji furakɛli duguw kazinowDostoevsky ka Roulettenburg

Rulɛti gafe minw ka fisa laɲini kelen kelen bɛɛ la

Jatebɔ kama, Ethier ani o kɔ Feller. Lakaliw kama, Barnhart ani Bass. Mun na mɔgɔw bɛ tulon kɛ hali o bɛɛ n'a ta, Dostoevsky. Dalilu min bɛ fɛɛrɛ sɔsɔli bɛɛ ban, Halmos, ani o jaabi kelen ni kuma nɔgɔmanw ye, Thorp ka gafe min bɔra san 1984. Degeliw kama, Taylor walima Bollman. Siti in sɛbɛn kelen kelen bɛɛ ka Kunnafoni bɔyɔrɔw bɛ bɔ nin gafew de la.

Ɲininkaliw

Yala rulɛti fɛɛrɛ gafe ɲumanw bɛ yen wa?

Si tɛ yen min bɛ fɛɛrɛ feere. Thorp ka gafe min bɔra san 1984, sapitiri surun dɔ b'a la min b'a ɲɛfɔ mun na u bɛ dɛsɛ; Epstein ni Ethier bɛ u kelen kelen bɛɛ cogo ɲɛfɔ.

Ne bɛ se ka Pearson walima Huygens kalan min?

U fila bɛɛ sɛbɛnni josariya banna, u bɛ ɛntɛrinɛti kan. Pearson ka gɛlɛn; Huygens ka surun ani a bayɛlɛmanenw kalanni ka nɔgɔn kosɛbɛ, o bɛ mɔgɔ kabakoya.

Yɛlɛko

Fɛn o fɛn bɛ siti in kan, o ye nin gafew kɔrɔfɔ fitinin dɔrɔn ye.

Fɛn o fɛn bɛ siti in kan, o ye nin gafew kɔrɔfɔ fitinin dɔrɔn ye.

Kunnafoni sɔrɔyɔrɔw

  1. Ethier, S. N. The Doctrine of Chances: Probabilistic Aspects of Gambling. Springer, 2010. Sapitiri 13, rulɛti.
  2. Feller, W. An Introduction to Probability Theory and Its Applications, Vol. 1. Wiley, bɔli 3nan, 1968. Tulonkɛla ka wari bɛɛ tununni, sapitiri 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. Sapitiri 2, rulɛti.
  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.
An koKunnafoni sɔrɔyɔrɔwTariku ni laadaRulɛti sɛbɛnnikɛ kɔnɔTariku ni laadaRulɛti fɛɛrɛw tarikuTariku ni laadaEudaemons jɛkulu
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