Roulette bonus, promotion an rebate
Roulette bonus like matchplay coupon, chip yuh cyaan cash an refund pon loss move a likkle money fram di casino to di playa. If yuh price dem right, some a dem worth more dan wah di wheel tek.
A coupon weh double a even-money payout worth bout 46% a di bet pon a European wheel. A one-use promo chip worth (36 − n)/37 a it face value pon a bet weh cova n numba: 95% pon a straight up, 49% pon red. A refund a half yuh net loss mek a short session a red worth fi play. None a dis change di wheel; it change who a pay.
Wah mek a promotion can beat di edge
Di house edgemathsHouse edgeDi part a evry stake weh di casino keep pon average: 2.70% inna European roulette.Read di whole ting → a a price fi evry unitmoney mattaUnitDi base stake weh a system or a playa work wid. Dem describe progression inna unit suh dem work at any table.Read di whole ting → yuh bet: 2.70% pon a European wheel. A roulette bonus add money to one side a a bet, an if it add more dan 2.70% a di stake, dat bet positive fi as long as di promotion last. Casino offa dem anyway cause dem have limit: one coupon evry visit, chipmoney mattaChipA token weh stand fi a fix amount, weh yuh put pon di betting layout fi mek a bet. Nex name: check.Read di whole ting → weh yuh can bet but cyaan cash, refund only fi playa weh lose big money. Di arithmetic a di same as evryweh else pon dis site: chance time payoutmoney mattaPayoutWah a bet weh win gi yuh back, weh dem quote as “X to 1” on top a di stake weh come back.Read di whole ting →, add up ova all di result dem.
Matchplay coupon
A matchplay coupon siddung nex to a cash bet an double wah di bet pay if it win; win or lose, di casino keep di coupon. Bollman (2024) price a Las Vegas coupon fram 2022 weh match up to $50 pon a even-money betbet demEven-money betRed/black, odd/even, high/low. 18 numba, pay 1:1.Read di whole ting →. Pon a European wheel, $50 pon redbet demRedEven-money bet pon di 18 red numba. Inna French: rouge.Read di whole ting → wid di coupon win $100 wid chance 18/37 an lose $50 wid chance 19/37: a expected +$22.97, or 45.9% a di bet. Pon a American wheel it a +$21.05, 42.1%. Pon a straight upbet demStraight upOne single numba, pay 35:1.Read di whole ting → di same coupon woulda worth two time as much, an dat a wah mek dem limit coupon to even-money bet.
Chip yuh cyaan cash
Promo chip, weh people also call non-negotiable chip, can bet but cyaan change fi money. Di usual rule a one use: a bet weh win get pay inna ordinary chip an dem tek di promo chip; one weh lose get tek too. A $100 chip pon a bet weh cova n numba win (36 − n)/n × $100 wid chance n/37, suh it worth (36 − n)/37 a it face value. Di chip own value neva come back, only di winnins, an a bet weh win rare but pay big lose di least dat way: $94.59 pon a straight up, $48.65 pon red. Weh di chip can stay pon di betting layoutgearBetting layoutDi bettin grid weh print pon di table. Nex name: table, felt, cloth.Read di whole ting → till it lose, a even-money bet worth 18/19 a it face value pon a European wheel an 9/10 pon a American one (Bollman, 2024).
Tun di chip dem inna cash
A value a a average; a playa weh waan di money fi sure can buy it wid a hedge. Bollman example come fram di ole Vegas World casino: $1,000 a one-use chip pon a American wheel, $500 pon red an $500 pon blackbet demBlackEven-money bet pon di 18 black numba. Inna French: noir.Read di whole ting →, wid $20 inna cash pon each a 0 an 00. Red or black win $500 an lose di $40 inna cash: +$460. A zeropon di wheelZeroDi one green pocket weh no even-money, dozen or column bet nuh cover; a weh di house edge come fram. Nex name: single zero, 0.Read di whole ting → lose both chip an pay $700 pon di cash: +$680. Di playa bank at least $460, an di average, $471.58, a 99.6% a wah di chip dem worth pon red alone. Weh di rule dem allow chip pon single numba, a European wheel offa a betta hedge: $25 chip pon all 36 numba ($900) an $25 inna cash pon zero. Wahever numba come up pay $875, an di cash pon zero lose unless zero itself come up, suh di playa keep at least $850, 94% a di chip dem face value, wid nuh risk at all.
Refund pon loss
Big-stake playa often get offa a rebate: a share a dem net loss back at di end a a session weh dem agree pon. A rebate only pay wen yuh lose, suh it worth di most wen di result dem swing wide an di session short enough dat di edge neva tek ova yet. Epstein (2013) work di case fi a American wheel; fi wi figure dem fi a European one follow. Wid half di net loss refund, flat even-money bettin worth fi play fi up to 103 spin an a di bes at 25, worth +0.51 stake pon average. Pon a straight up di swing dem suh big dat di session stay positive fi bout 3,600 spin an a di bes at 882, worth +17.25 stake. Wid a more usual 10% refund, even money positive only fi one single spin, while a straight up a di bes at 20 spin, worth +0.62 stake.
Roulette promo rule dem: wah di casino a count pon
Evry promotion have a cap, an di cap protect di casino: one coupon a visit, chip weh dem give out inna a fix amount, rebate weh dem agree only wid playa weh dem expected loss ova a trip mek di refund look small small. A playa weh use di coupon an den stay fi a evenin a $50 bet pon red give back di $22.97 inside 17 spin, at $1.35 a spin. Di value real fi di playa weh tek it an lef, or weh did a go play dat much anyway.
Formula
Question dem
Fi di one bet it go wid, yes. Evry odda bet still cost 2.70% a di stake.
Nuh much playa tink bout it, di chip dem limit, an di casino done price di promotion as advertisin a ready.
Rarely. Dem a high-roller term, weh dem usually agree wid a casino host an pay pon di net loss ova a trip.
Fun wid maths
Try dem yuhself fus. Evry ansa fold up; open it wen yuh ready.
Dem give yuh a $25 promotion chipmoney mattaChipA token weh stand fi a fix amount, weh yuh put pon di betting layout fi mek a bet. Nex name: check.Read di whole ting → weh dem tek back afta one bet, win or lose. Weh it fi go: pon redbet demRedEven-money bet pon di 18 red numba. Inna French: rouge.Read di whole ting →, pon a dozenbet demDozen1–12, 13–24 or 25–36, pay 2:1.Read di whole ting → or pon a single numba?
Show di ansa
Ansa Pon a single numba. Deh so it worth $23.65 pon average; pon a dozen $16.22 an pon red $12.16.
Di chip itself neva come back, only wah it win. Pon red it win $25 wid chance 18/37: $12.16. Pon a dozen it win $50 wid chance 12/37: $16.22. Pon a single numba it win $875 wid chance 1/37: $23.65.
Inna general a bet pon n numba worth (36 − n)/37 a di chip, suh di less numba, di betta. Wid a regular chip dis nuh mek no difference, cause di stake come back wid evry win an evry bet worth 36/37 a it. Wen dem tek weh di stake, it hurt di bet dem weh win often an hardly touch di bet weh win one time outta 37.
A casino wi give back half a yuh net loss afta exactly one spin. $100 pon red worth it fi play? An $100 pon a single numba?
Show di ansa
Ansa Both a dem worth it: bout +$22.97 pon red an +$45.95 pon di numba.
Pon red yuh win $100 wid chance 18/37 an, afta di refund, lose $50 wid chance 19/37: (1,800 − 950)/37 = +$22.97.
Pon a single numba yuh win $3,500 wid chance 1/37 an lose $50 wid chance 36/37: (3,500 − 1,800)/37 = +$45.95.
Dem a di matchplay figure dem again. A $100 bet weh lose only $50 win $100 or lose $50, exactly like a $50 bet wid a coupon weh double it win. Ova a longa session di refund get pay only pon di net result, win an loss cancel out bifo it get pay, an di value shrink; fi red wid half back, 25 spin a di bes length.
Di casino wi give back half a yuh net loss afta a fix numba a $100 bet pon red, weh yuh choose bifo time: 1, 2 or 3 spin. Which one worth di most?
Show di ansa
Ansa Tree spin: bout +$31.45. One spin worth +$22.97, an two only +$20.96.
One spin: win $100 wid chance 18/37, or lose $100 an get $50 back wid chance 19/37: +$22.97, same like inna di exercise up top.
Two spin: both win (324 time outta 1,369), +$200. One each (684 time), $0, wid nutten fi refund. Both lose (361 time), −$200, −$100 afta di refund. Average: (200 × 324 − 100 × 361)/1,369 = +$20.96. Di refund pay only pon a loss, an two spin turn nuff single-spin loss into a draw.
Tree spin can neva draw. Tree win (5,832 time outta 50,653): +$300. Two win (18,468): +$100. One win (19,494): −$100, refund to −$50. None (6,859): −$300, refund to −$150. Average: +$31.45.
Di refund worth more di longa yuh commit, while di edge cost only $2.70 a spin, suh di value rise to bout +$51 at 25 spin (look pon di table up top), an a odd numba a spin always beat di even numba afta it.
One time a Las Vegas casino did give out a coupon: bet $5 pon 00 an, if it win, dem pay yuh $250 instead a di usual $175. Wah di $5 bet worth wid di coupon, as a share a di stake, pon it double-zeropon di wheelZeroDi one green pocket weh no even-money, dozen or column bet nuh cover; a weh di house edge come fram. Nex name: single zero, 0.Read di whole ting → wheel?
Show di ansa
Ansa Bout +34%: di bet worth +$1.71 pon average. If di $250 include di $5 weh come back, it a +31.6%.
Di 00 win one time outta 38 spin. Wid di coupon: +$250 one time, −$5 di odda 37 time. Average: (250 − 37 × 5)/38 = 65/38 = +$1.71, an dat a 34.2% a $5. Widout di coupon: (175 − 185)/38 = −$0.26, di usual −5.26%.
If $250 a di total weh dem pay back, di win a $245 an di average a (245 − 185)/38 = +$1.58, or 31.6%.
Bollman (2024) set dis coupon, fram di Lady Luck casino (now di Downtown Grand), as a exercise; di ansa weh print wid it, 7.89%, nuh match neida reading. Like a matchplay coupon, it worth sumting one time: play it an stop.
Sumting fi laugh
A promotion worth di most to di playa weh tek it an go home.
Source dem
- Bollman, M. Basic Gambling Mathematics: The Numbers Behind the Neon, 2nd ed.
- Epstein, R. A. The Theory of Gambling and Statistical Logic, 2nd ed.