Tse Dingwe · Lenaane la go bala · metsotso e le 8

Dibuka tsa Roulette: Lenaane la go Bala

Dibuka le dipampiri tsa roulette tse saete e e ikaegileng ka tsone, di le masome a mabedi le bobedi, go tswa mo tlhalosong ya 1657 ya boleng jo bo lebeletsweng go ya kwa bukeng ya thuto ya 2025, le polelo ka gore gobaneng nngwe le nngwe e le botlhokwa.

Karabo e khutshwane

Dipalo (Huygens, Bernoulli, Halmos, Feller, Thorp, Epstein, Ethier, le dibuka tsa thuto tsa bosheng tsa Bollman, Taylor le Hunacek), hisitori (Lablée, Barnhart, Schwartz, Kavanagh, Marcus, Goldman), fisiki (Bass, Small & Tse) le padi e le nngwe e e botoka go feta tsotlhe (Dostoevsky). Sengwe le sengwe mo saeteng e se ikaegile ka shelefo e.

e kgologolo go feta
Huygens, 1657
e ntšhwa go feta
Hunacek, 2025
buka e le nngwe e e botoka
Ethier, 2010
padi e e botoka
The Gambler, 1866

Dipalo

tirongwagagobaneng go e bala
Huygens, De Ratiociniis in Ludo Aleae1657tlhaloso ya ntlha e e gatisitsweng ya boleng jo bo lebeletsweng; kwa EV e tswang teng
Bernoulli, Ars Conjectandi1713molao wa dipalo tse dikgolo, o dithulaganyo di sa o tlhaloganyeng
Halmos, “Invariants of certain stochastic transformations”1939bosupi jwa ntlha jo bo akaretsang jwa gore ga go na thulaganyo ya dibete e e fetolang maduo a a lebeletsweng
Feller, An Introduction to Probability Theory, vol. 11968gambler’s ruin, ditsamaiso tsa tshono, ditatelano; tshupetso e e tlwaelegileng
Thorp, “Optimal gambling systems for favorable games”1969fa dithulaganyo tsa dibete di ka thusa (fela mo motshamekong o o nang le molemo kwa motshameking) le maemo a a fa morago ga maduo a gore ga go na thulaganyo
Thorp, The Mathematics of Gambling1984khomphiutara ya roulette e anelwa ke motlhami wa yone, le dipalo tsa gore o ka beela bokae mo molemong
Epstein, The Theory of Gambling and Statistical Logic2013 (kgatiso ya bo2)motshameko mongwe le mongwe wa khasino o sekasekilwe; roulette mo seemong sa yone
Ethier, The Doctrine of Chances2010tlhaloso ya dipalo e e feletseng go feta tsotlhe ya roulette e e gatisitsweng
Bollman, Mathematics of the Big Four Casino Table Games2021dibete tsa tlaleletso, maotwana a a sa tlwaelegang le roulette ya dikarata di lekanngwa tlhwatlhwa nngwe ka nngwe, le boikatiso
Taylor, Games, Gambling, and Probability2021 (kgatiso ya bo2)ditatelano, go beela ka Kelly le gambler’s ruin di dirilwe jaaka thutelo
Bollman, Basic Gambling Mathematics2024 (kgatiso ya bo2)dipapatso tsa khasino le dipusetso, le gore boto ya maduo e ipusolosetsa khasino ka bonako jo bo kae
Hunacek, Quantitative Literacy Through Games and Gambling2025thutelo ya ntlha e e bonolo; tlhatlhobang polelo ya yone ya gore bete nngwe le nngwe e na le boleng jo bo lebeletsweng jo bo tshwanang, e bete ya dipalo di le tlhano e e robang

Hisitori

tirongwagagobaneng go e bala
Lablée, La Roulette, ou le Jour1801tlhaloso ya ntlha e e feletseng ya motshameko, mo pading
Barnhart, Beating the Wheel1983hisitori ya tshameko ya go sekama: Jagger, ba ba neng ba le pele ga ba ga Pelayo, mekgwa
Schwartz, Roll the Bones2006hisitori e e akaretsang ya go betšha; felo ga roulette mo go yone
Kavanagh, Dice, Cards, Wheels2005setso sa go betšha sa Fora; Palais-Royal le metse ya metsi a a fodisang
Marcus, American Roulette2003past-posting e tlhalosiwa go tswa ka fa teng ke modiri wa yone yo o itsegeng go feta
Goldman, Great Gambling Scams2007Leigh kwa Nice, Marcus le Ritz di anelwa gape; e a kgatlha, mme e phoso mo dintlheng di le mmalwa (bonang Go Tsietsa mo Roulette)

Fisiki le tshameko ya molemo

tirongwagagobaneng go e bala
Bass, The Eudaemonic Pie1985kgang ya khomphiutara ya mo setlhakong; buka e e itsegeng e e botoka go feta ka fisiki ya roulette
Small & Tse, “Predicting the outcome of roulette”2012fisiki ya go bonelela pele, e lekantswe; se molemo o se tlhokang
Pearson, “On the criterion…”1900teko ya chi-square, e bontshiwa mo ditikologong tsa roulette

Fisiki ya Leotwana la Roulette

Padi

Dostoevsky, The Gambler (1866). E kwadilwe mo malatsing a le 26 go fitlhelela letlha la bofelo la konteraka ya mogatisi, ke mokwadi yo o neng a tsenelele mo dikolotong ka ntlha ya roulette; phoso ya motshameki, thulaganyo, kgapeletso le khasino ya motse wa metsi a a fodisang go tswa ka fa teng. E khutshwane go feta buka nngwe le nngwe ya roulette e e fa godimo mme e nnete go feta bontsi jwa tsone.

Bad Homburg le Dikhasino tsa Metse ya Metsi a a FodisangRoulettenburg ya ga Dostoevsky

Dibuka tsa roulette tse di botoka mo maikaelelong mangwe le mangwe

Mo dipalong, Ethier go bo go latela Feller. Mo dikgannyeng, Barnhart le Bass. Mo go reng gobaneng batho ba tshameka le fa go ntse jalo, Dostoevsky. Mo bosuping jo bo fedisang kganetso nngwe le nngwe ya dithulaganyo, Halmos, mme mo maduong a a tshwanang ka mafoko a a motlhofo, buka ya Thorp ya 1984. Mo boikatisong, Taylor kgotsa Bollman. Lebokoso la Metswedi mo setlhogong sengwe le sengwe mo saeteng e le nopola go tswa mo shelefong e.

Dipotso

A go na le dibuka tse di siameng tsa maano a roulette?

Ga go na epe e e rekisang thulaganyo. Buka ya Thorp ya 1984 e na le kgaolo e khutshwane ka gore gobaneng di palelwa; Epstein le Ethier ba tlhalosa sebopego sa nngwe le nngwe.

Nka bala Pearson kgotsa Huygens kae?

Tsoopedi di kwa ntle ga tshwanelo ya mokwadi mme di mo inthaneteng. Pearson o thata; Huygens o khutshwane mme o balega ka tsela e e gakgamatsang mo phetolelong.

Metlae ya go iketla

Sengwe le sengwe mo saeteng e ke tlhaloso e nnye ya shelefo e.

Sengwe le sengwe mo saeteng e ke tlhaloso e nnye ya shelefo e.

Metswedi

  1. Ethier, S. N. The Doctrine of Chances: Probabilistic Aspects of Gambling. Springer, 2010. Kgaolo 13, roulette.
  2. Feller, W. An Introduction to Probability Theory and Its Applications, Vol. 1. Wiley, kgatiso ya bo3, 1968. Gambler’s ruin, kgaolo 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. Kgaolo 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.
Ka ga ronaMetswediHisitori le SetsoRoulette mo DikwalongHisitori le SetsoHisitori ya Dithulaganyo tsa RouletteHisitori le SetsoThe Eudaemons
e tlhatlhobilwe 2026-09-28sekao: ya Yuropa, lefela le le lengwemokgwa wa tiro ↗metswedi ↗