Umlandvo wetinhlelo te-roulette
Emakhulu lamabili eminyaka bantfu babhala phansi imitsetfo yekushintja linani labalibhejako.

I-Martingale ingeyelikhulu le-18; i-D’Alembert iphatfwe ngeligama lesati setibalo lebesingayitsandzi; i-Labouchère yintfo lebeyitsandvwa ngusipolitiki wesikhatsi sa-Victoria. Kute neyinye yato lebeyisebenta ngaleso sikhatsi.
Martingale
Ligama lisuka elulwimini lwemgwaco lwebagembuli besi-Provençal (à la martegalo, “ngendlela yebantfu baseMartigues”, labebatiwa ngekungacaphelisisi) lekubheja ngekuphindzaphindza kabili, lelibhalwe etichazamagameni tesiFulentjhi kusukela ngema-1760. Thorp (1984), alandzela i-American Heritage Dictionary, unika inchazelo yesibili yemasiko: bantfu baseMartigues bebahlekwa ngemikhuba lemangalisako, phakatsi kwayo kubopha emabhulukwe abo ngemuva, ngako-ke lelibinzana laba nenchazelo yekutsi “ngendlela lehlekisako”. Bekuvele kuyindzaba yekucwayisa eParis yelikhulu le-18: Casanova uchaza kulahlekelwa ngumcebo ngekuphindzaphindza kabili ku-faro eVenice ngema-1750. Tibalo tekutsi kungani yehluleka, umkhawulo welitafulalitafulaUmkhawulo welitafulaLinani lelincane nalelikhulu kakhulu lekubheja lelivunyelwe. Umkhawulo lophakeme ngiwo lomisa kwenyuswa kwelinani lokuphindza kabili.Fundza konkhe → kanye ne-imali yekubhejaimaliImali yekubhejaImali yonkhe lebekelwe kudlala. Kuphatsa imali yekubheja kusho kunquma kutsi ungafaka engcupheni lengakanani kuko kubheja ngakunye nakuyo iseshini ngayinye.Fundza konkhe → lenemkhawulo, betisetsakaleka ngema-1770. Ku-theory ye-litfubatibaloLitfubaLitfuba lekutsi umphumela wenteke, kusukela ku-0 kuya ku-1 noma ku-0% kuya ku-100%. Inombolo yinye: 1/37 = 2.70%.Fundza konkhe → “martingalelisuMartingaleKwenyuswa kwelinani lokuphindza kubheja kabili ngemuva kwekulahlekelwa ngakunye. Buka sigaba semasu kute ubone kutsi kwentani nekutsi akwenti ini.Fundza konkhe →” laba ligama lebuchwepheshe ngema-1930 lelichaza umdlalo lolinganakotibaloUmdlalo lolinganakoUmdlalo lapho kute luhlangotsi lolunenzuzo: konkhe kubheja kunelinani lelilindzelekile lelingu-zero.Fundza konkhe →, lokuyintfo yinye i-Martingale ye-roulette lengasiyo.

D’Alembert
Jean le Rond d’Alembert waphikisa ku-Encyclopédie (1754) kutsi ngemuva kwekulandzelana kwetinhloko, imisila iba nelitfuba lelikhulu, kuyinkhulumo yekucala ye-liphutsa lemgembuli lesuka kusati setibalo lesihamba embili. Luhlelo lwekubheja lolwengeta liyunithiimaliLiyunithiLinani lelibhejwako lelisisekelo luhlelo noma umdlali lasebenta ngalo. Kwenyuswa kwelinani kuchazwa ngemayunithi kute kusebente kunoma ngumuphi litafula.Fundza konkhe → ngemuva kwekulahlekelwa futsi lisuse linye ngemuva kwekuwina lwaphatfwa ngeligama lakhe ngulabagembuli labeta ngemuva labebanalenkholelo. Akazange aluphakamise futsi, ngemalanga akhe lamahle, bekangalwala.
Labouchère
Henry LabouchèrelisuLabouchèreLuhlelo lwekusula: bhala lilayini letinombolo, bheja sibalo setinombolo letimbili letisemaphetselweni, utisule ngemuva kwekuwina, wengete linani lolilahlekelwe ngemuva kwekulahlekelwa.Fundza konkhe → (1831–1912), umbhali wemaphephandzaba, umnikati wetetfiyetha neLilunga lePhalamende le-Liberal, wenta luhlelo lwekucisha lwatiwa emphakatsini waseLondon ngema-1870 futsi kubikwa kutsi waluetama e-Monte Carlo. Lendlela, kubhala umugca wetinombolo bese ubheja inombolo lehlanganisiwe yetinombolo letisemaphetselweni, iyamandvulela. Ligama lakhe lanamatsela ngobe bekatiwa ngetinye tintfo futsi ngobe luhlelo lunesici lesingakavami sekutsi luvamise kusebenta, loko lokwalwenta indzaba yekucocwa ngayo edzili.
Casanova ulahlekelwa ngekuphindzaphindza kabili ku-faro. I-Martingale seyivele indzala.
D’Alembert ushicilela liphutsa lelatsi kamuva laphatfwa ngeligama lakhe njengeluhlelo.
Ligama lelitsi “Martingale” lingena etichazamagameni tesiFulentjhi njengelulwimi lwemgwaco lwebagembuli.
Labouchère wenta kucisha kwatiwe eLondon.
Kwenyuswa kwelinani kwe-Fibonacci nekwe-Paroli kuvela etincwadzini temihlahlandlela yekugembula.
Tinhlelo te-“sigaba” letisekelwe ekuhlelekeni kwelisondvo tidayiswa ngeposi.
Halmos, umfundzi waDoob, ufakazela kutsi kute luhlelo lwekubheja lolungashintja umdlalo longakuzuzisi ube umdlalo lokuzuzisako.
Emakhompyutha alingisa yonkhe luhlelo. Tonkhe tikhombisa −1/37 wemali yonkhe lebhejiwe.
Tinhlelo letifanako tidayiswa e-inthanethi tinemiphumela lefanako, tilingiswa ku-browser kulelisayithi.
Likhulu le-20
I-FibonaccilisuFibonacciKwenyuswa kwelinani lokulandzela lolandzelano 1, 1, 2, 3, 5, 8, 13…: sinyatselo sinye phambili ngemuva kwekulahlekelwa, tinyatselo letimbili emuva ngemuva kwekuwina.Fundza konkhe → ne-ParolilisuParoliKwenyuswa kwelinani ngemuva kwekuwina: phindza kabili ngemuva kwekuwina, buyela ekucaleni ngemuva kwekulahlekelwa noma ngemuva kwekuwina katsatfu kulandzelana. Kuphindze kutsiwe: i-Martingale lephambene.Fundza konkhe → kwangena etincwadzini temihlahlandlela yekugembula cishe nga-1900. Ekhatsi nelikhulu kwaletsa tinhlelo letidayiswa ngeposi, ngayinye inebufakazi bemuntfu nesetsembiso sekubuyiselwa imali, kanye nekulingisa kwekucala ngekhompyutha, lokwakhombisa loko tibalo betivele tikusho. Bufakazi bekutsi kute luhlelo lolungasebenta bebuvele bukhona: Joseph Doob (1936) na-Paul Halmos (1939) bakhombisa kutsi kute umtsetfo wekukhetsa kutsi ubheja nini nekutsi malini longashintja umphumela lolindzelekile wemdlalo lolinganako noma longakuzuzisi, futsi lucwaningo lwaThorp lwanga-1969 lwabeka imibandzela ngendlela bagembuli labahlangana ngayo nayo. Kusukela ngaleso sikhatsi tinhlelo atikashintji; kukhangisa kusuke emaphepheni kwaya kumavidiyo.

Inganekwane: Lisu le-roulette leliwina njaloLisu le-Fibonacci ku-roulette
Kungani tisachubeka
Luhlelo lunika umdlali lokutsite lekufanele akwente nendzaba lekufanele ayixoxe. Tiseshini letinyenti ngaphansi kwetinhlelo letinyenti tiphela ngekuwina lokuncane, lokuyindzaba lencono kunetibalo. Tiseshini tekulahlekelwa atijwayelekile futsi tikhunjulwa njengebunhlanhla lobubi. Kukhangisa akudzingi kucamba emanga ngematfuba; kudzinga kuphela kukhombisa iseshini yekuwina, futsi tinyenti. Imphikiswano lephambene nako, 2.70% we-imali yonkhe lebhejiweimaliImali yonkhe lebhejiweLinani lonkhe lelibhejwe ngesikhatsi seseshini noma ngesikhatsi lesitsite, kubalwa nemali lewiniwe lephindze yabhejwa. Kuphindze kutsiwe: handle, action.Fundza konkhe →, ibikhona kusukela nga-1843 futsi ayikaze ibe nemandla ekuncenga njengebusuku benhlanhla.
Tinhlelo letidayiswako
Kuhweba kwelikhulu le-20 kwengeta emasu ako, ngalinye lilungiselelo lelisha lekubheja lokufanako lokulahlekelako. I-Phase One beyidayiswa nga-$25 kanye ne-10% wekuwina kwemtsengi, kwetsenjiswa i-Phase Two nase kukhokhwe $500 kanye ne-“Inner Circle” nga-$5,000. Kute nalinye lelishintja tibalo: linani lelilindzelekiletibaloLinani lelilindzelekileUmphumela wesilinganiso ngekubheja ngakunye ngekuhamba kwesikhatsi lesidze. −1/37 yelinani lelibhejiwe kuko konkhe kubheja lokujwayelekile kwaseYurophu.Fundza konkhe → lekubheja lokulandzelanako lilingana nemaninani lahlanganisiwe lalindzelekile ekubheja ngakunye.
Lokunye lokungasilo luhlelo
Imitsetfo yekuma: kunca kusenesikhatsi kutsi ufuna kulahlekelwa noma kuwina malini bese uyahamba. Kuvamile kutsi idayiswe njengengcenye yeluhlelo futsi yingcenye kuphela lekwenta lokutsite, ngobe yehlisa imali yonkhe lebhejiwe. Ayinalo ligama lemuntfu leliphatfwe ngayo, lokufanelekile.
Imibuto
I-Martingale, ngelikhulu leminyaka noma ngetulu. Kuphindzaphindza kabili ngemuva kwekulahlekelwa ngumcondvo wekucala wawo wonkhe umuntfu.
D’Alembert nguye lowasondzela kakhulu, ngengoti. Pascal, Fermat, Huygens, Bernoulli na-Laplace bonkhe bachaza kutsi kungani tehluleka.
Ngobe tiseshini letinyenti tiyawina, futsi ividiyo yeseshini yekuwina ayibiti kuyenta.
Lokuhlekisako

Emakhulu lamabili eminyaka emagama. Inombolo yinye.
Imitfombo
- Thorp, E. O. “Optimal gambling systems for favorable games.”
- Thorp, E. O. The Mathematics of Gambling.
- Doob, J. L. “Note on probability.”
- Halmos, P. R. “Invariants of certain stochastic transformations: the mathematical theory of gambling systems.”
- d’Alembert, J. “Croix ou pile.”
- Schwartz, D. G. Roll the Bones: The History of Gambling.
- Kavanagh, T. M. Dice, Cards, Wheels: A Different History of French Culture.
- Bollman, M. Mathematics of the Big Four Casino Table Games: Blackjack, Baccarat, Craps, & Roulette.