Boule ek ti rou
Bann ti kouzin roulet: enn rou nef nimero dan kazino Lafrans, enn de ven fas, enn laplans avek pikan, enn rou ansam ar enn resevwar boul ek enn zetwal limier. Enn sel regleman donn pri zot tou.

Boule, ki zot ankor zwe dan serten kazino Lafrans, ena nef nimero ek pey 7 kont 1 lor enn parmi zot: 11.11%, kat fwa enn rou eropeen. Roulette-18 zet enn de olie tourn enn rou ek kout 5.26%. Lor internet, Pin Ball ek Spingo kout 2% ziska 4.76%, ek Lucky Star, enn limier ki kour otour enn zetwal, 2.22% ziska 4%. Diamond Roulette ti tir rouz ek nwar pou met sis koler ek ti vann enn pari a 15.79%.
Enn sel regleman, ti rou
Regleman lor paz rou drol-la donn pri sa bann zwe-la osi: kont rezilta ki bann pemanlarzanPemanSeki enn pari gagnan rapporte, ekrir kouma “X kont 1” anplis miz ki retourne.Lir tou → ignore ek divize par tou rezilta. Lor enn rou eropeen, zerorouZeroSel kaz ver ki okenn pari peman egal, douzenn ouswa kolonn pa kouver; sours lavantaz kazino. Osi: enn sel zero, 0.Lir tou → se 1 kazekipmanKazEnn bann 37 konpartiman avek nimero lor rotor. Osi: slot, cup.Lir tou → lor 37. Lor enn ti rou, enn kaz kazino se enn pli gro proporsion, alor bann ti zwe souvan kout plis, sof si zot fix bann peman enn lot fason.
Boule: nef nimero
Boule se ti kouzin franse roulet, ki zot ankor zwe dan serten kazino dan Lafrans; enn ti liv kazino dan Antibes dekrir so regleman. Boul-laekipmanBoulTi boul ki lanse dan simen-la dan sans kontrer rotor. Zordi bann boul an ivorine ouswa Teflon, 18–21 mm.Lir tou → arete lor enn parmi nef nimero. Kat nwarpariNwarPari peman egal lor 18 nimero nwar. An franse: noir.Lir tou → (1, 3, 6, 8), kat rouzpariRouzPari peman egal lor 18 nimero rouz. An franse: rouge.Lir tou → (2, 4, 7, 9), ek 5, an zonn, se nimero kazino. Enn sel nimero pey 7 kont 1. Bann pari peman egalpariPari peman egalRouz/nwar, inper/per, ot/ba. 18 nimero, peye 1:1.Lir tou →, rouz ouswa nwar, inper ouswa per, ba (1 ziska 4) ouswa ot (6 ziska 9), perdi tou kan 5 sorti. Sak pari kout 1/9 = 11.11%, kat fwa enn rou eropeen. Enn versyon dan Genting an Malezi nimerot so rou 0 ziska 9 ek pey 8 kont 1 lor enn nimero ek 2 kont 1 lor trwa: 10%.
Avions: disset nimero
Epstein (2013) anrezistre enn lot ti rou, Avions, ki zot ti zwe pou enn ti letan Monte Carlo, avek 17 nimero. Enn sel nimero ti pey 15 kont 1, group kat ti pey 3 kont 1, ek bann pari peman egal ti kouver wit nimero sakenn, san 9, ki ti zwe rol zero. Sak pari vinn 1/17 = 5.88%, enpe plis ki 5.26% amerikin, lor enn rou lamwatie graner enn rou eropeen.
Roulette-18: enn de olie enn rou
Roulette-18 ti montre dan Global Gaming Expo an 2014 ek zot ti zwe li dan serten kazino Grosvenor dan Rwayom-Ini. Enn de ven fas ranplas rou-la, avek nimero 1 ziska 18, enn 0 ek enn 00. Lor 00 nanye pa regle ek zot rezet de-la, sa les 19 fas valab avek peman fixe pou 18: enn pari lor enn sel nimeropariPari lor enn sel nimeroEnn sel nimero, peye 35:1.Lir tou → pey 17 kont 1, enn pari lor de nimeropariPari lor de nimeroDe nimero kot-a-kot, peye 17:1.Lir tou → 8 kont 1, enn pari lor trwa nimeropariPari lor trwa nimeroTrwa nimero dan enn ranze lor tapi pari, peye 11:1. An franse: transversale.Lir tou → 5 kont 1, enn pari lor kat nimeropariPari lor kat nimeroKat nimero ki partaz enn kwin lor tapi pari, peye 8:1.Lir tou → 7 kont 2, enn lign 2 kont 1. Sak pari kout 1/19 = 5.26%, pri amerikin, sof bann pari peman egal, ki perdi zis lamwatie lor 0: 2.63%.

Pin Ball ek Spingo: zwe lor internet
Pin Ball, ki sorti kot Realistic Games, les tom enn boul atraver enn laplans avek pikan ziska dan enn parmi 25 kaz, 0 ziska 24. Bann pari pey kouma si ti ena 24: enn sel nimero 23 kont 1, enn pari lor de nimero 11 kont 1, alor sakenn kout 1/25 = 4%, ek bann pari peman egal perdi zis lamwatie lor 0, sa amenn zot ziska 2%. Spingo, ki sorti kot Microgaming, met de tiraz ansam: enn boul depi enn resevwar 21 boul, de sakenn depi 1 ziska 10 ek enn 0, ek enn rou 25 segman, wit sakenn zonn, rouz ek ble ek enn ver. Enn nimero pey 9 kont 1 ek kout 4.76%; enn koler pey 2 kont 1 ek kout 4%. Sans pli lwin lor tablo-la, enn nimero ek enn koler ansam, pey 31 kont 1 pou enn sans 16 lor 525 ek kout zis 2.48%: pari pli bon marse dan zwe-la.
Lucky Star: enn limier lor enn zetwal
Lucky Star, ki serten kazino lor internet ofer bann zwer Britanik, pena boul. Enn limier kour otour enn zetwal sink pwint ki desine avek sink lign drwat ek arete lor enn parmi 40 plas nimerote 0 ziska 8. Sink plas kot bann lign kwaze ena tou nimero 1, ek limier-la pas lor sakenn de fwa dan enn tour konple, alor enn tour konple ena 45 arete ek 1 se rezilta pli probab, 10 arete lor 45. Bann pari lor enn nimero, enn koler (0 ek 8 ver; 1, 3 ek 6 rouz; 2, 4, 5 ek 7 nwar), inper ouswa per, ba (1–4) ouswa ot (5–8), In ouswa Out, ek lor sink eleman sinwa, enn pou sak lign. Bann peman “pou 1” ek zot vini an fraksion, kouma 2.2 pou rouz, sa permet fix pri sak pari dan de pwen ar lezot: depi 2.22% ziska 4%.
Diamond Roulette: sis koler ek pena rouz
Diamond Roulette ti paret dan Atlantic City an 2008 lor enn rou doub zero avek nimero dan sis koler, sis nimero par koler, ek pena pari rouz ouswa nwar. Enn koler ti pey 5 kont 1: 5.26%, pri amerikin ordiner, ouswa 2.70% lor enn rou enn zero. Pyez-la ti enn koler avek 0 ek 00 azoute: wit nimero a 3 kont 1, kot regleman-la demann 3¾ kont 1. Li ti kout 15.79%. Kan zot arondi enn peman anba par enn fraksion enn initelarzanIniteMiz baz ki enn sistem ouswa enn zwer servi. Bann progresion dekrir an inite pou ki zot aplik lor nenport ki latab.Lir tou →, sa kapav fer enn pari trwa fwa pli ser ki lezot.

Seki bann ti rou montre
Aparey-la sanze; kalkil-la pa sanze.
- Enn nimero kazino lor nef kout 11.11%; enn lor 37 kout 2.70%. Mwins ena nimero, pli enn zero ser.
- Enn de, enn laplans avek pikan ouswa enn resevwar boul pa sanz nanye: pri-la dan kont rezilta ek bann peman.
- Lamwatie retourne lor zero, kouma lor Pin Ball ek Roulette-18, koup lavantaz kazino pari peman egal an de, kouma la partagereglemanLa partageRegleman franse: kan zero sorti, ou gagne lamwatie enn miz peman egal. Sa koup lavantaz kazino lor sa bann pari-la an de, ziska 1.35%.Lir tou → fer.
- Peman an fraksion, kouma lor Lucky Star, permet enn konseptor fix pri sak pari dan enn ouswa de pwen ar lezot.
- Rod pari ki so peman finn arondi anba: 3 kont 1 Diamond olie 3¾.
Kestion
Non. Avek 11.11% li kout kat fwa enn rou eropeen. Li ankor egziste akoz li rapid ek sinp, pa akoz li bon marse.
Zot ankor zwe Boule dan serten kazino Lafrans. Zot ti zwe Roulette-18 dan kazino Britanik dan lane 2010. Pin Ball, Spingo ek Lucky Star ti zwe lor internet, ek Diamond Roulette nepli dan Atlantic City.
Akoz so peman 31 kont 1 pli pre ar peman zis, 31.8 kont 1, ki peman bann pari tousel. Zot fix pri sak pari separeman.
Lamizman ar matematik
Esey rezoud zot ou mem avan. Sakenn solision kase; ouver li kan ou pare.
Spingo tir enn boulekipmanBoulTi boul ki lanse dan simen-la dan sans kontrer rotor. Zordi bann boul an ivorine ouswa Teflon, 18–21 mm.Lir tou → dan enn tremi ki ena 21 (de pou sakenn nimero 1 ziska 10, enn 0) ek tourn enn rou ki ena 25 segman (wit pou sakenn trwa koler, enn ver). Enn nimero peye 9 kont 1, enn koler 2 kont 1, ek enn nimero ek enn koler ansam 31 kont 1. Kalkil pri sa trwa pari-la.
Montre solision-la
Repons Nimero 4.76%, koler 4.00%, nimero ek koler 2.48%: pari ki pli difisil pou gagne se pari ki kout mwins ser.
Enn nimero: 2 boul lor 21. Enn $1 ki gagne ramenn $10, alor pari-la retourn 2/21 × 10 = 20/21: enn lavantaz 1/21 = 4.76%.
Enn koler: 8 segman lor 25, ki ramenn $3: 24/25, enn lavantaz 4%.
Toulede ansam: boul-la ek rou-la se de tiraz separe, alor bann sans miltipliye: 2/21 × 8/25 = 16/525. Enn pari ki gagne ramenn $32, alor pari-la retourn 16 × 32 = 512 pou 525 ki finn mize: enn lavantaz 13/525 = 2.48%.
Enn pemanlarzanPemanSeki enn pari gagnan rapporte, ekrir kouma “X kont 1” anplis miz ki retourne.Lir tou → zis ti pou 509/16, apepre 31.8 kont 1, alor 31 kont 1 manke mwins ki enn initelarzanIniteMiz baz ki enn sistem ouswa enn zwer servi. Bann progresion dekrir an inite pou ki zot aplik lor nenport ki latab.Lir tou → lor trant-de. Sakenn pari lor enn tablo gagn so prop pri, ek pari ki pli difisil pou gagne pa touzour pli ser.
Lor Roulette-18 enn pari lor rouzpariRouzPari peman egal lor 18 nimero rouz. An franse: rouge.Lir tou → kouver 9 lor 19 fas aktif de-la, peye peman egal ek perdi zis lamwatie kan 0 sorti. Komie li kout?
Montre solision-la
Repons 1/38, apepre 2.63%.
Zet de-la 19 fwa, san kont bann 00 ki rezete. An mwayenn rouz sorti 9 fwa (+9), nwarpariNwarPari peman egal lor 18 nimero nwar. An franse: noir.Lir tou → 9 fwa (−9) ek 0 enn fwa, ki pran lamwatie miz-la (−½).
Net: −½ lor 19 zet, seki fer 1/38 = 2.63%.
San sa lamwatie ki retourne, li ti pou −1 lor 19, 5.26%, pri tou lezot pari lor de-la. Kan zot rann lamwatie lor zerorouZeroSel kaz ver ki okenn pari peman egal, douzenn ouswa kolonn pa kouver; sours lavantaz kazino. Osi: enn sel zero, 0.Lir tou →, lavantaz-la tom lamwatie, parey kouma la partagereglemanLa partageRegleman franse: kan zero sorti, ou gagne lamwatie enn miz peman egal. Sa koup lavantaz kazino lor sa bann pari-la an de, ziska 1.35%.Lir tou → lor enn latab franse.
Multicolore, ki ti zwe Monte Carlo dan lane 1950, ti lans enn boul lor 25 sekterrouSekterEnn ark kaz ki swiv lor rou-la, pa enn group lor tapi pari.Lir tou →: sis pou sakenn ver, rouz, blan ek zonn, ek enn ble. Enn pari lor enn koler peye dapre kot ki ekrir lor sekter kot boul-la aret: 4, 3, 3, 3, 2 ek 2 kont 1 lor sis sekter sakenn koler, ek 24 kont 1 lor ble. Komie sakenn pari kout?
Montre solision-la
Repons Ble se enn pari zis ek li pa kout nanye. Tou lezot koler kout 8%.
Imazin 25 tour kot sakenn sekter sorti enn fwa. Enn pari $1 lor ver gagne lor so sis sekter, 4 + 3 + 3 + 3 + 2 + 2 = $17, ek perdi $1 lor lezot 19: −$2 lor 25 tour, 8%.
Ble gagn $24 enn fwa ek perdi $1 lor lezot 24 sekter: egzakteman egal.
Enn zwe kazino ki ena enn pari zis rar. Kot 11.11% boule, ble ti sel pari dan lasal ki ti vo lapenn fer. Bollman (2024) donn sa zwe-la kouma enn egzersis.
Enpe riye

Enn nimero kazino lor nef se 11.11%.
Sours
- Wizard of Odds. “Boule”, “Roulette-18”, “Pin Ball”, “Spingo”, “Lucky Star” and “Diamond Roulette”.
- Epstein, R. A. The Theory of Gambling and Statistical Logic, 2nd ed.