Rulɛt bonus, prɔmoshɔn ɛn mɔni we dɛn gi bak
Rulɛt bonɔs dɛn lɛk matchplay kupɔn, chip we yu nɔ kin chenj to mɔni ɛn mɔni we dɛn gi bak pan lɔs de muv smɔl mɔni frɔm di kasino to di pleya. If yu kalkul dɛn valyu rayt, sɔm pan dɛn valyu pas wetin di wil de tek.

Kupɔn we de dɔbul ivin-mɔni pe valyu lɛk 46% pan di bɛt pan Yuropian wil. Prɔmoshɔn chip we yu kin yuz wan tɛm nɔmɔ valyu (36 − n)/37 pan in fes valyu pan bɛt we kɔba n nɔmba: 95% pan bɛt pan wan nɔmba, 49% pan rɛd. If dɛn gi yu bak af pan yu nɛt lɔs, shɔt sɛshɔn pan rɛd valyu fɔ ple. Natin pan dis nɔ de chenj di wil; i de chenj udat de pe.
Wetin mek prɔmoshɔn kin bit di advantej
Di kasino advantejmatematiksKasino advantejDi pat pan ɛni bɛt mɔni we di kasino de kip pan avrej: 2.70% na Yuropian rulɛt.Rid ɔl → na prays fɔ ɛni yunitmɔniYunitDi bes bɛt mɔni we sistɛm ɔ pleya de wok wit. Dɛn de ɛksplen prɔgrɛshɔn wit yunit so dat i go wok na ɛni tebul.Rid ɔl → we yu bɛt: 2.70% pan Yuropian wil. Rulɛt bonɔs de ad mɔni to wan sayd fɔ bɛt, ɛn if i ad mɔ pas 2.70% pan di bɛt mɔni, dat bɛt pɔsitiv as lɔng as di prɔmoshɔn de. Kasino dɛn de gi dɛn ɛni we bikɔs dɛn gɛt limit: wan kupɔn fɔ ɛni vizit, chipmɔniChipTokɛn we min wan sɛt mɔni; yu put am na di bɛt tebul fɔ mek bɛt. Dɛn kin kɔl am bak: check.Rid ɔl → we yu kin bɛt bɔt yu nɔ kin chenj to mɔni, mɔni we dɛn gi bak na jɔs to pleya dɛn we lɔs big big mɔni. Di kalkuleshɔn na di sem lɛk ɔlsay na dis sayt: chans tɛm pemɔniPeWetin bɛt we win de gi yu, dɛn de tɔk am as “X to 1” ɔn tɔp di bɛt mɔni we kam bak.Rid ɔl →, ad ɔp fɔ ɔl di rizɔlt dɛn.
Matchplay kupɔn
Matchplay kupɔn de sidɔm nia bɛt we yu put wit kap mɔni, ɛn i de dɔbul wetin di bɛt de pe if i win; win ɔ lɔs, di kasino de kip di kupɔn. Bollman (2024) de kalkul di valyu fɔ Las Vegas kupɔn frɔm 2022 we bin de mach te to $50 pan ivin-mɔni bɛtbɛtIvin-mɔni bɛtRɛd/blak, ɔd/ivin, ay/lɔ. 18 nɔmba, i de pe 1:1.Rid ɔl →. Pan Yuropian wil, $50 pan rɛdbɛtRɛdIvin-mɔni bɛt pan di 18 rɛd nɔmba. Na Frɛnch: rouge.Rid ɔl → wit di kupɔn de win $100 wit chans 18/37 ɛn i de lɔs $50 wit chans 19/37: +$22.97 we fɔ ɛkspɛkt, ɔ 45.9% pan di bɛt. Pan Amɛrikan wil i na +$21.05, 42.1%. Pan bɛt pan wan nɔmbabɛtBɛt pan wan nɔmbaWan nɔmba nɔmɔ, i de pe 35:1.Rid ɔl →, di sem kupɔn go valyu tu tɛm mɔ, ɛn na dat mek dɛn de alaw kupɔn pan ivin-mɔni bɛt nɔmɔ.
Chip we yu nɔ kin chenj to mɔni
Prɔmoshɔn chip dɛn, we dɛn kɔl bak chip we yu nɔ kin chenj, yu kin bɛt dɛn bɔt yu nɔ kin chenj dɛn fɔ mɔni. Di nɔmal rul na wan tɛm: if di bɛt win, dɛn de pe am wit nɔmal chip ɛn dɛn de tek di prɔmoshɔn chip; if i lɔs, dɛn de tek am bak. $100 chip pan bɛt we kɔba n nɔmba de win (36 − n)/n × $100 wit chans n/37, so i valyu (36 − n)/37 pan in fes valyu. Di chip in yon valyu nɔ de ɛva kam bak, na jɔs di win mɔni, ɛn bɛt we nɔ de win bɔku bɔt we de pe bɔku de lɔs smɔl pas ɔl na dis we: $94.59 pan bɛt pan wan nɔmba, $48.65 pan rɛd. Usay di chip kin de pan di bɛt tebulikwipmɛntBɛt tebulDi bɛt grid we dɛn print pan di tebul. Dɛn kin kɔl am bak: tebul, felt, klɔt.Rid ɔl → te i lɔs, ivin-mɔni bɛt valyu 18/19 pan in fes valyu pan Yuropian wil ɛn 9/10 pan Amɛrikan wan (Bollman, 2024).
Aw fɔ tɔn di chip dɛn to kap mɔni
Valyu na avrej; pleya we want di mɔni fɔ shɔ kin bay am wit we fɔ kɔba insɛf. Bollman in ɛgzampul kɔmɔt frɔm di ol Vegas World kasino: $1,000 chip fɔ wan tɛm pan Amɛrikan wil, $500 pan rɛd ɛn $500 pan blakbɛtBlakIvin-mɔni bɛt pan di 18 blak nɔmba. Na Frɛnch: noir.Rid ɔl →, wit $20 kap mɔni pan ɛni wan pan 0 ɛn 00. Rɛd ɔ blak de win $500 ɛn de lɔs di $40 kap mɔni: +$460. ZirowilZiroDi wan grin pɔkit we nɔ ivin-mɔni, dɔzin ɔ kɔlɔm bɛt nɔ kɔba; na usay di kasino advantej kɔmɔt. Dɛn kin kɔl am bak: wan ziro, 0.Rid ɔl → de lɔs di tu chip ɛn i de pe $700 pan di kap mɔni: +$680. Di pleya de kip $460 ɔ mɔ, ɛn di avrej, $471.58, na 99.6% pan wetin di chip dɛn valyu pan rɛd nɔmɔ. Usay di rul dɛn alaw chip pan wan nɔmba, Yuropian wil de gi bɛtɛ we fɔ kɔba: $25 chip pan ɔl 36 nɔmba ($900) ɛn $25 kap mɔni pan ziro. Ɛni nɔmba we kam de pe $875, ɛn di kap mɔni pan ziro de lɔs if nɔto ziro kam, so di pleya de kip $850 ɔ mɔ, 94% pan di chip dɛn fes valyu, wit no risk atɔl.

Mɔni we dɛn gi bak pan lɔs
Pleya dɛn we de bɛt big mɔni kin gɛt ɔfa fɔ ribet: pat pan dɛn nɛt lɔs we dɛn gi bak di ɛnd fɔ wan sɛshɔn we dɛn gri pan. Ribet de pe na jɔs wen yu lɔs, so i valyu pas ɔl wen di rizɔlt dɛn de swing bad bad wan ɛn di sɛshɔn shɔt so dat di advantej nɔ tek ova yet. Epstein (2013) de kalkul am fɔ Amɛrikan wil; wi nɔmba dɛn fɔ Yuropian wil de dɔŋ ya. If dɛn gi bak af pan di nɛt lɔs, fɔ bɛt di sem ivin mɔni ɔltɛm valyu fɔ ple te to 103 spin ɛn i bɛtɛ pas ɔl na 25, we valyu +0.51 bɛt mɔni pan avrej. Pan bɛt pan wan nɔmba, di swing dɛn big so te di sɛshɔn de pɔsitiv fɔ lɛk 3,600 spin, ɛn i bɛtɛ pas ɔl na 882, we valyu +17.25 bɛt mɔni. Wit 10%, we na di ribet we dɛn kin gi mɔ, ivin mɔni de pɔsitiv fɔ jɔs wan spin, bɔt bɛt pan wan nɔmba bɛtɛ pas ɔl na 20 spin, we valyu +0.62 bɛt mɔni.
Rulɛt prɔmo rul dɛn: wetin di kasino de kɔnt pan
Ɛni prɔmoshɔn gɛt limit, ɛn di limit de protɛkt di kasino: wan kupɔn fɔ ɛni vizit, chip we dɛn de gi wit fiks mɔni, ribet we dɛn gri pan na jɔs wit pleya dɛn we di lɔs we fɔ ɛkspɛkt fɔ wan trip big pas di ribet fa fa. Pleya we yuz di kupɔn ɛn afta dat i de fɔ wan ivintɛm fɔ $50 bɛt pan rɛd de gi di $22.97 bak insay 17 spin, wit $1.35 fɔ ɛni spin. Di valyu na tru tru fɔ di pleya we tek am ɛn go, ɔ we bin go ple dat ɔmɔs ɛni we.
Fɔmula
Kwɛstyɔn dɛn
Fɔ di wan bɛt we i de wit, yɛs. Ɛni ɔda bɛt stil de kɔst 2.70% pan di bɛt mɔni.
Na smɔl pleya de tink bɔt am, di chip dɛn gɛt limit, ɛn di kasino dɔn kɔnt di prɔmoshɔn in prays as advataysmɛnt.
Nɔ bɔku. Na tin fɔ pleya dɛn we de bɛt big big mɔni, ɛn dɛn kin gri pan am wit kasino ost ɛn pe am pan di nɛt lɔs fɔ wan trip.
Ple wit Mat
Tray dɛn yusɛf fɔs. Ɛni ansa de ayd; opin am we yu rɛdi.
Dɛn gi yu prɔmoshɔn chipmɔniChipTokɛn we min wan sɛt mɔni; yu put am na di bɛt tebul fɔ mek bɛt. Dɛn kin kɔl am bak: check.Rid ɔl → fɔ $25 we dɛn go tek afta wan bɛt, win ɔ lɔs. Usay i fɔ go: pan rɛdbɛtRɛdIvin-mɔni bɛt pan di 18 rɛd nɔmba. Na Frɛnch: rouge.Rid ɔl →, pan dɔzinbɛtDɔzin1–12, 13–24 ɔ 25–36, i de pe 2:1.Rid ɔl → ɔ pan wan nɔmba?
Sho di ansa
Ansa Pan wan nɔmba. De i valyu $23.65 pan avrej; pan dɔzin $16.22 ɛn pan rɛd $12.16.
Di chip insɛf nɔ ɛva de kam bak, na ɔnli wetin i win. Pan rɛd i de win $25 wit chans 18/37: $12.16. Pan dɔzin i de win $50 wit chans 12/37: $16.22. Pan wan nɔmba i de win $875 wit chans 1/37: $23.65.
Jɛnɛral wan, bɛt pan n nɔmba valyu (36 − n)/37 pan di chip, so di fiu di nɔmba dɛn, na di bɛtɛ. Wit nɔmal chip dis nɔ de mek difrɛns, bikɔs di bɛt mɔni de kam bak wit ɛni win ɛn ɛni bɛt valyu 36/37 pan am. If dɛn tek di bɛt mɔni, i de at di bɛt dɛn we de win bɔku tɛm ɛn i nɔ de tɔch di bɛt we de win wan tɛm insay 37.
Kasino go gi yu bak af pan yu nɛt lɔs afta wan spin rayt rayt. $100 pan rɛd valyu fɔ ple? Ɛn $100 pan wan nɔmba?
Sho di ansa
Ansa Ɔl tu: lɛk +$22.97 pan rɛd ɛn +$45.95 pan di nɔmba.
Pan rɛd yu de win $100 wit chans 18/37 ɛn, afta dɛn gi yu bak, yu de lɔs $50 wit chans 19/37: (1,800 − 950)/37 = +$22.97.
Pan wan nɔmba yu de win $3,500 wit chans 1/37 ɛn yu de lɔs $50 wit chans 36/37: (3,500 − 1,800)/37 = +$45.95.
Dɛn ya na di matchplay nɔmba dɛn bak. $100 bɛt we de lɔs ɔnli $50 de win $100 ɔ lɔs $50, rayt rayt lɛk $50 bɛt wit kupɔn we de dɔbul in win. Oba sɛshɔn we lɔng pas, dɛn de gi bak ɔnli pan di nɛt rizɔlt, win ɛn lɔs de kansɛl wan ɔda bifo dɛn pe, ɛn di valyu de smɔl; fɔ rɛd wit af bak, 25 spin na di bɛst lɔng.
Di kasino go gi yu bak af pan yu nɛt lɔs afta sɛt nɔmba fɔ $100 bɛt pan rɛd, we yu pik bifo: 1, 2 ɔ 3 spin. Wish wan valyu pas?
Sho di ansa
Ansa Tri spin: lɛk +$31.45. Wan spin valyu +$22.97, ɛn tu ɔnli +$20.96.
Wan spin: win $100 wit chans 18/37, ɔ lɔs $100 ɛn gɛt $50 bak wit chans 19/37: +$22.97, lɛk na di ɛksasayz ɔp.
Tu spin: ɔl tu win (324 tɛm insay 1,369), +$200. Wan ɛn wan (684 tɛm), $0, natin fɔ gi bak. Ɔl tu lɔs (361 tɛm), −$200, −$100 afta dɛn gi bak. Avrej: (200 × 324 − 100 × 361)/1,369 = +$20.96. Dɛn de gi bak ɔnli pan lɔs, ɛn tu spin de tɔn bɔku lɔs we fɔ bi pan wan spin to nɔ win nɔ lɔs.
Tri spin nɔ ɛva de kam ivin. Tri win (5,832 tɛm insay 50,653): +$300. Tu win (18,468): +$100. Wan win (19,494): −$100, we tɔn −$50 afta dɛn gi bak. Natin (6,859): −$300, we tɔn −$150 afta dɛn gi bak. Avrej: +$31.45.
Di gi-bak valyu mɔ di lɔng yu gri fɔ ple, bɔt di advantej de kɔst ɔnli $2.70 ɛni spin, so di valyu de go ɔp to lɛk +$51 na 25 spin (luk di tebul ɔp), ɛn ɔd nɔmba fɔ spin ɔltɛm bɛtɛ pas di ivin nɔmba we kam afta am.
Wan kasino na Las Vegas bin gi kupɔn: bɛt $5 pan 00 ɛn, if i win, dɛn go pe yu $250 nɔto di nɔmal $175. Ɔmɔs di $5 bɛt valyu wit di kupɔn, as pat pan di bɛt mɔni, pan in wil wit dɔbul zirowilZiroDi wan grin pɔkit we nɔ ivin-mɔni, dɔzin ɔ kɔlɔm bɛt nɔ kɔba; na usay di kasino advantej kɔmɔt. Dɛn kin kɔl am bak: wan ziro, 0.Rid ɔl →?
Sho di ansa
Ansa Lɛk +34%: di bɛt valyu +$1.71 pan avrej. If di $250 inklud di $5 we kam bak, na +31.6%.
Di 00 de win wan tɛm insay 38 spin. Wit di kupɔn: +$250 wan tɛm, −$5 di ɔda 37 tɛm. Avrej: (250 − 37 × 5)/38 = 65/38 = +$1.71, we na 34.2% pan $5. Witout di kupɔn: (175 − 185)/38 = −$0.26, di nɔmal −5.26%.
If $250 na ɔl wetin dɛn pe bak, di win na $245 ɛn di avrej na (245 − 185)/38 = +$1.58, ɔ 31.6%.
Bollman (2024) gi dis kupɔn, frɔm di Lady Luck kasino (naw di Downtown Grand), as ɛksasayz; di ansa we dɛn print wit am, 7.89%, nɔ gri wit ɛni wan pan di tu we fɔ rid am. Lɛk matchplay kupɔn, i valyu sɔntin wan tɛm: ple am ɛn stɔp.
Smɔl jok fɔ ɛz di maynd

Prɔmoshɔn valyu pas ɔl fɔ di pleya we tek am ɛn go os.
Usay wi gɛt am frɔm
- Bollman, M. Basic Gambling Mathematics: The Numbers Behind the Neon, 2nd ed.
- Epstein, R. A. The Theory of Gambling and Statistical Logic, 2nd ed.