Bonis, promosion ek ranbourseman dan roulet
Bann bonis roulet, kouma koupon matchplay, zeton ki ou pa kapav sanz an larzan ek ranbourseman lor pert, fer enn tigit larzan pas depi kazino ver zwer. Si ou kalkil zot pri byen, sertin vo plis ki seki rou-la pran.
Enn koupon ki doub enn peman egal vo apepre 46% pari-la lor enn rou eropeen. Enn zeton promosion pou enn sel servis vo (36 − n)/37 so valer nominal lor enn pari ki kouver n nimero: 95% lor enn sel nimero, 49% lor rouz. Enn ranbourseman mwatie ou pert net fer enn sesion kourt lor rouz vo lapenn zwe. Nanye sa pa sanz rou-la; li sanz kisannla ki pey.
Kifer enn promosion kapav bat lavantaz kazino
Lavantaz kazinomatematikLavantaz kazinoPart sak miz ki kazino gard an mwayenn: 2.70% dan roulet eropeen.Lir tou → se enn pri par initelarzanIniteMiz baz ki enn sistem ouswa enn zwer servi. Bann progresion dekrir an inite pou ki zot aplik lor nenport ki latab.Lir tou → parye: 2.70% lor enn rou eropeen. Enn bonis roulet azout larzan lor enn kote enn pari, ek si li azout plis ki 2.70% miz-la, sa pari-la pozitif otan ki promosion-la dire. Bann kazino ofer zot kanmem akoz zot limite: enn koupon par vizit, zetonlarzanZetonEnn zeton ki reprezant enn montan fix, ki ou poze lor tapi pari pou fer enn pari. Osi: check.Lir tou → ki ou kapav parye me pa sanz an larzan, ranbourseman zis pou bann zwer ki perdi gro montan. Kalkil-la parey kouma partou lor sa sit-la: sans fwa pemanlarzanPemanSeki enn pari gagnan rapporte, ekrir kouma “X kont 1” anplis miz ki retourne.Lir tou →, azoute lor tou bann rezilta.
Koupon matchplay
Enn koupon matchplay met kot-a-kot ar enn pari an larzan ek li doub seki pari-la pey si li gagne; gagne ouswa perdi, kazino-la gard koupon-la. Bollman (2024) kalkil pri enn koupon Las Vegas 2022 ki ti egal ziska $50 lor enn pari peman egalpariPari peman egalRouz/nwar, inper/per, ot/ba. 18 nimero, peye 1:1.Lir tou →. Lor enn rou eropeen, $50 lor rouzpariRouzPari peman egal lor 18 nimero rouz. An franse: rouge.Lir tou → avek koupon-la gagn $100 avek enn sans 18/37 ek perdi $50 avek enn sans 19/37: enn atandi +$22.97, ouswa 45.9% pari-la. Lor enn rou amerikin li vo +$21.05, 42.1%. Lor enn pari lor enn sel nimeropariPari lor enn sel nimeroEnn sel nimero, peye 35:1.Lir tou → mem koupon-la ti pou vo de fwa plis, setadir kifer bann koupon limite a pari peman egal.
Zeton ki ou pa kapav sanz an larzan
Bann zeton promosion, ki apel osi zeton non-negosiab, kapav parye me pa sanz an larzan. Regle abityel se enn sel servis: enn pari ki gagne pey an zeton ordiner ek kazino pran zeton promosion-la; enn pari ki perdi, li pran li osi. Enn zeton $100 lor enn pari ki kouver n nimero gagn (36 − n)/n × $100 avek enn sans n/37, alor li vo (36 − n)/37 so valer nominal. Valer zeton-la limem zame retourne, zis bann gin, ek enn pari ki rarman gagne me ki pey boukou perdi mwins koumsa: $94.59 lor enn sel nimero, $48.65 lor rouz. Kot zeton-la kapav res lor tapi pariekipmanTapi pariGrij pari ki enprime lor latab. Osi: latab, feutre, tapi.Lir tou → ziska li perdi, enn pari peman egal vo 18/19 so valer nominal lor enn rou eropeen ek 9/10 lor enn rou amerikin (Bollman, 2024).
Sanz bann zeton an larzan
Enn valer se enn mwayenn; enn zwer ki anvi larzan-la sir kapav aste li avek enn kouvertir risk. Lexanp Bollman sorti dan ansien kazino Vegas World: $1,000 zeton enn sel servis lor enn rou amerikin, $500 lor rouz ek $500 lor nwarpariNwarPari peman egal lor 18 nimero nwar. An franse: noir.Lir tou →, avek $20 an larzan lor sakenn 0 ek 00. Rouz ouswa nwar gagn $500 ek perdi $40 an larzan: +$460. Enn zerorouZeroSel kaz ver ki okenn pari peman egal, douzenn ouswa kolonn pa kouver; sours lavantaz kazino. Osi: enn sel zero, 0.Lir tou → perdi le de zeton ek pey $700 lor larzan-la: +$680. Zwer-la gard omwin $460, ek mwayenn-la, $471.58, se 99.6% seki bann zeton vo lor rouz tousel. Kot regleman-la permet zeton lor enn sel nimero, enn rou eropeen ofer enn pli bon kouvertir: zeton $25 lor tou 36 nimero ($900) ek $25 an larzan lor zero. Ninport ki nimero sorti pey $875, ek larzan lor zero perdi sof si zero limem sorti, alor zwer-la gard omwin $850, 94% valer nominal bann zeton, san okenn risk ditou.
Ranbourseman lor pert
Souvan bann zwer ki mize gro gagn enn ofer ranbourseman: enn parti zot pert net ki zot gagn ankor a lafin enn sesion ki finn deside. Enn ranbourseman pey zis kan ou perdi, alor li vo plis kan rezilta balans boukou ek sesion-la ase kourt pou ki lavantaz kazino pa ankor pran kontrol. Epstein (2013) kalkil ka-la pou enn rou amerikin; nou sif pou enn rou eropeen swiv. Avek mwatie pert net ranbourse, miz fix lor peman egal vo lapenn zwe ziska 103 tour ek li pli bon a 25, ki vo +0.51 miz an mwayenn. Lor enn sel nimero, bann balansman telman gran ki sesion-la res pozitif pandan apepre 3,600 tour ek li pli bon a 882, ki vo +17.25 miz. Avek enn ranbourseman 10% pli abityel, peman egal pozitif zis pou enn sel tour, alor ki enn sel nimero pli bon a 20 tour, ki vo +0.62 miz.
Regleman promosion roulet: lor ki kazino-la pe konte
Sakenn promosion ena enn plafon, ek plafon-la protez kazino-la: enn koupon par vizit, zeton ki donn an enn montan fix, ranbourseman ki zis antann avek bann zwer ki zot pert atandi lor enn vwayaz boukou pli gro ki ranbourseman-la. Enn zwer ki servi koupon-la ek apre res pou enn laswaree pari $50 lor rouz rann $22.97 la dan 17 tour, a $1.35 par tour. Valer-la vre pou zwer ki pran li ek ki ale, ouswa ki ti pou zwe otan kanmem.
Formil
Kestion
Pou sel pari ki al ar li, wi. Tou lezot pari kontinie kout 2.70% miz-la.
Pa boukou zwer panse ar sa, bann zeton limite, ek kazino-la inn deza kont pri promosion-la kouma piblisite.
Rarman. Se enn kondision pou gro zwer, zeneralman antann avek enn reprezantan kazino ek pey lor pert net lor enn vwayaz.
Lamizman ar matematik
Esey rezoud zot ou mem avan. Sakenn solision kase; ouver li kan ou pare.
Ou gagn enn zetonlarzanZetonEnn zeton ki reprezant enn montan fix, ki ou poze lor tapi pari pou fer enn pari. Osi: check.Lir tou → promosion $25 ki zot repran apre enn sel pari, ki ou gagne ouswa ki ou perdi. Kot bizin met li: lor rouzpariRouzPari peman egal lor 18 nimero rouz. An franse: rouge.Lir tou →, lor enn douzennpariDouzenn1–12, 13–24 ouswa 25–36, peye 2:1.Lir tou → ouswa lor enn sel nimero?
Montre solision-la
Repons Lor enn sel nimero. Laba li vo $23.65 an mwayenn; lor enn douzenn $16.22 ek lor rouz $12.16.
Zeton-la limem zame retourne, zis seki li gagne. Lor rouz li gagn $25 avek sans 18/37: $12.16. Lor enn douzenn li gagn $50 avek sans 12/37: $16.22. Lor enn sel nimero li gagn $875 avek sans 1/37: $23.65.
An zeneral enn pari lor n nimero vo (36 − n)/37 zeton-la, alor mwins ena nimero, pli bon. Avek enn zeton ordiner sa pa fer okenn diferans, akoz miz-la retourne avek sakenn gin ek sakenn pari vo 36/37 li. Kan zot retir miz-la, sa fer mal bann pari ki gagn souvan ek preske pa tous pari ki gagn enn fwa lor 37.
Enn kazino pou ranbours lamwatie ou pert net apre egzakteman enn tour. Eski $100 lor rouz vo lapenn zwe? Ek $100 lor enn sel nimero?
Montre solision-la
Repons Toulede vo: apepre +$22.97 lor rouz ek +$45.95 lor nimero-la.
Lor rouz ou gagn $100 avek sans 18/37 ek, apre ranbourseman, ou perdi $50 avek sans 19/37: (1,800 − 950)/37 = +$22.97.
Lor enn sel nimero ou gagn $3,500 avek sans 1/37 ek ou perdi $50 avek sans 36/37: (3,500 − 1,800)/37 = +$45.95.
Sa bann sif matchplay ankor sa. Enn pari $100 ki perdi zis $50 swa gagn $100 swa perdi $50, egzakteman kouma enn pari $50 avek enn koupon ki doub so gin. Lor enn sesion pli long ranbourseman-la peye zis lor rezilta net, bann gin ek bann pert anil zot avan li peye, ek valer-la diminie; pou rouz avek lamwatie ranbourse, 25 tour se meyer longer.
Kazino-la pou ranbours lamwatie ou pert net apre enn nonb fix pari $100 lor rouz, swazir davans: 1, 2 ouswa 3 tour. Lekel vo plis?
Montre solision-la
Repons Trwa tour: apepre +$31.45. Enn tour vo +$22.97, ek de zis +$20.96.
Enn tour: gagn $100 avek sans 18/37, ouswa perdi $100 ek gagn $50 ranbourse avek sans 19/37: +$22.97, parey kouma dan egzersis par-anler.
De tour: toulede gagne (324 fwa lor 1,369), +$200. Enn sakenn (684 fwa), $0, nanye pou ranbourse. Toulede perdi (361 fwa), −$200, −$100 apre ranbourseman. Mwayenn: (200 × 324 − 100 × 361)/1,369 = +$20.96. Ranbourseman-la peye zis lor enn pert, ek de tour transform boukou pert enn tour an egalite.
Trwa tour pa kapav zame fer egalite. Trwa gin (5,832 fwa lor 50,653): +$300. De gin (18,468): +$100. Enn gin (19,494): −$100, ranbourse ziska −$50. Okenn (6,859): −$300, ranbourse ziska −$150. Mwayenn: +$31.45.
Ranbourseman-la vo plis pli longtan ou angaze, alor ki lavantaz-la kout zis $2.70 par tour, alor valer-la mont ziska apepre +$51 a 25 tour (get tablo par-anler), ek enn nonb inper tour touzour bat nonb per ki vinn apre li.
Enn kazino Las Vegas ti enn fwa distribie enn koupon: parye $5 lor 00 ek, si li gagne, zot peye ou $250 olie $175 abitie. Ki sa pari $5-la vo avek koupon-la, kouma enn par miz-la, lor so rou doub zerorouZeroSel kaz ver ki okenn pari peman egal, douzenn ouswa kolonn pa kouver; sours lavantaz kazino. Osi: enn sel zero, 0.Lir tou →?
Montre solision-la
Repons Apepre +34%: pari-la vo +$1.71 an mwayenn. Si $250-la kontenir $5 ki retourne, li +31.6%.
00 gagn enn fwa lor 38 tour. Avek koupon-la: +$250 enn fwa, −$5 lezot 37 fwa. Mwayenn: (250 − 37 × 5)/38 = 65/38 = +$1.71, seki fer 34.2% $5. San koupon-la: (175 − 185)/38 = −$0.26, −5.26% abitie.
Si $250 se total ki retourne, gin-la $245 ek mwayenn-la (245 − 185)/38 = +$1.58, ouswa 31.6%.
Bollman (2024) donn sa koupon-la, depi kazino Lady Luck (aster Downtown Grand), kouma enn egzersis; repons ki inprime avek li, 7.89%, pa koresponn ar okenn de lektir-la. Parey kouma enn koupon matchplay, li vo kitsoz enn sel fwa: zwe li ek aret.
Enpe riye
Enn promosion vo plis pou zwer ki pran li ek ki retourn lakaz.
Sours
- Bollman, M. Basic Gambling Mathematics: The Numbers Behind the Neon, 2nd ed.
- Epstein, R. A. The Theory of Gambling and Statistical Logic, 2nd ed.