Bonuses, Promotions and Rebates for Roulette
Roulette bonuses like matchplay coupons, chips wey you no fit cash and refunds for losses dey move small moni from di casino go di player. If you price dem correct, some of dem worth more pass wetin di wheel dey take.
Coupon wey dey double even-money payout worth about 46% of di bet for European wheel. Promotional chip wey you fit use once worth (36 − n)/37 of im face value for bet wey cover n numbers: 95% for straight up, 49% for red. Refund of half your net loss dey make short session on red worth to play. No one of dis dey change di wheel; e dey change who dey pay.
Why Promotion Fit Beat Di Edge
Di house edgemathsHouse edgeDi part of each stake wey di casino dey keep for average: 2.70% for European roulette.Read di whole tin → na price for every unitmoniUnitDi base stake wey system or player dey work with. Dem dey describe progressions in units so dat dem go fit work for any table.Read di whole tin → wey you bet: 2.70% for European wheel. Roulette bonus dey add moni to one side of one bet, and if e add more pass 2.70% of di stake, dat bet go dey positive as long as di promotion dey. Casinos still dey offer dem becos dem get limit: one coupon for every visit, chipsmoniChipToken wey stand for one fixed amount, wey you put on top di layout to make bet. Dem also dey call am: check.Read di whole tin → wey you fit bet but you no fit cash, refunds only for players wey lose big moni. Di arithmetic na di same as everywhere else for dis site: chance times payoutmoniPayoutWetin bet wey win dey return, wey dem dey quote as “X to 1” on top di stake wey dem return.Read di whole tin →, wey you add up over di outcomes.
Matchplay Coupons
Matchplay coupon dey sit near cash bet and e dey double wetin di bet pay if e win; win or lose, di casino dey keep di coupon. Bollman (2024) price one Las Vegas coupon from 2022 wey match up to $50 on even-money betbetEven-money betRed/black, odd/even, high/low. 18 numbers, e dey pay 1:1.Read di whole tin →. For European wheel, $50 on redbetRedEven-money bet on di 18 red numbers. For French: rouge.Read di whole tin → with di coupon dey win $100 with chance of 18/37 and lose $50 with chance of 19/37: expected +$22.97, or 45.9% of di bet. For American wheel e na +$21.05, 42.1%. For straight upbetStraight upOne single number, e dey pay 35:1.Read di whole tin →, di same coupon go worth double, and na why dem dey limit coupons to even-money bets.
Chips Wey You No Fit Cash
Promotional chips, wey dem also dey call non-negotiable chips, you fit bet dem but you no fit change dem to moni. Di usual rule na one use: dem dey pay winning bet with normal chips and dem dey take di promotional chip; dem dey take am too if di bet lose. $100 chip on bet wey cover n numbers dey win (36 − n)/n × $100 with chance of n/37, so e worth (36 − n)/37 of im face value. Di value of di chip imself no dey ever come back, only di winnings, and bet wey dey win once in a while but dey pay plenty dey lose least dat way: $94.59 for straight up, $48.65 for red. Where di chip fit stay for di layoutequipmentLayoutDi betting grid wey dem print for di table. Dem also dey call am: table, felt, cloth.Read di whole tin → until e lose, even-money bet worth 18/19 of im face value for European wheel and 9/10 for American one (Bollman, 2024).
How to Turn Di Chips to Cash
Value na average; player wey want di moni for sure fit buy am with hedge. Di example of Bollman come from di old Vegas World casino: $1,000 of chips wey you fit use once for American wheel, $500 on red and $500 on blackbetBlackEven-money bet for di 18 black numbers. For French: noir.Read di whole tin →, with $20 cash on each of 0 and 00. Red or black dey win $500 and lose di $40 cash: +$460. ZerowheelZeroDi one green pocket wey no even-money, dozen or column bet dey cover; na im be di source of di house edge. Dem also dey call am: single zero, 0.Read di whole tin → dey lose both chips and pay $700 on di cash: +$680. Di player go keep at least $460, and di average, $471.58, na 99.6% of wetin di chips worth on red alone. Where di rules allow chips on single numbers, European wheel dey give better hedge: $25 chips on all 36 numbers ($900) and $25 cash on zero. Any number wey show go pay $875, and di cash on zero go lose unless zero imself show, so di player go keep at least $850, 94% of di face value of di chips, with no risk at all.
Refunds for Losses
Dem dey often offer players wey dey play big stakes one rebate: part of dia net loss wey dem go return for di end of one session wey dem agree. Rebate dey pay only when you lose, so e worth pass when results dey swing wide and di session short reach di level wey di edge never take over. Epstein (2013) work di case for American wheel; our own figures for European one dey follow. With half of di net loss refunded, flat even-money betting worth to play for up to 103 spins and e best for 25, wey worth +0.51 stakes for average. For straight up, di swings big so tey di session dey stay positive for about 3,600 spins and e best for 882, wey worth +17.25 stakes. With di more usual 10% refund, even money dey positive only for one single spin, while straight up dey best for 20 spins, wey worth +0.62 stakes.
Roulette Promo Rules: Wetin Di Casino Dey Count On
Every promotion get cap, and di cap dey protect di casino: one coupon for every visit, chips wey dem issue for fixed amount, rebates wey dem agree only with players wey dia expected losses for one trip big pass di refund well well. Player wey use di coupon and then stay for one evening of $50 bets on red go give back di $22.97 inside 17 spins, at $1.35 for every spin. Di value na real for di player wey take am and go house, or wey for play dat much anyway.
Formula
Questions wey pipo dey ask
For di one bet wey e follow, yes. Every oda bet still dey cost 2.70% of di stake.
Few players dey think of am, di chips get limit, and di casino don already price di promotion as advertising.
E no dey happen often. Na term for high rollers, wey dem dey usually agree with casino host and pay on di net loss for one trip.
Play with Maths
Try dem by yourself first. Each solution dey folded; open am when you ready.
Dem give you $25 promotional chipmoniChipToken wey stand for one fixed amount, wey you put on top di layout to make bet. Dem also dey call am: check.Read di whole tin → wey dem go collect back afta one bet, win or lose. Where you suppose put am: on redbetRedEven-money bet on di 18 red numbers. For French: rouge.Read di whole tin →, on dozenbetDozen1–12, 13–24 or 25–36, e dey pay 2:1.Read di whole tin → or on one number?
Show di solution
Answer On one number. For there e worth $23.65 for average; on dozen $16.22 and on red $12.16.
Di chip imself no dey ever come back, na only wetin e win. On red e dey win $25 with chance 18/37: $12.16. On dozen e dey win $50 with chance 12/37: $16.22. On one number e dey win $875 with chance 1/37: $23.65.
For general, bet on n numbers worth (36 − n)/37 of di chip, so di fewer di numbers, di better. With normal chip, dis one no make any difference, becos di stake dey come back with every win and every bet worth 36/37 of am. To remove di stake dey hurt di bets wey dey win often, and e almost no touch di bet wey dey win once for 37.
One casino go refund half of your net loss afta exactly one spin. $100 on red worth to play? And $100 on one number?
Show di solution
Answer Both worth am: about +$22.97 on red and +$45.95 on di number.
On red you dey win $100 with chance 18/37 and, afta di refund, you dey lose $50 with chance 19/37: (1,800 − 950)/37 = +$22.97.
On one number you dey win $3,500 with chance 1/37 and lose $50 with chance 36/37: (3,500 − 1,800)/37 = +$45.95.
Na di matchplay figures again be dis. $100 bet wey dey lose only $50 dey win $100 or lose $50, exactly like $50 bet with coupon wey dey double im win. For longer session, dem dey pay di refund only for di net result, wins and losses dey cancel before dem pay am, and di value dey shrink; for red with half back, 25 spins na di best length.
Di casino go refund half of your net loss afta fixed number of $100 bets on red, wey you choose before: 1, 2 or 3 spins. Which one worth pass?
Show di solution
Answer Three spins: about +$31.45. One spin worth +$22.97, and two only +$20.96.
One spin: win $100 with chance 18/37, or lose $100 and get $50 back with chance 19/37: +$22.97, like for di exercise wey dey up.
Two spins: both win (324 times for 1,369), +$200. One each (684 times), $0, and notin to refund. Both lose (361 times), −$200, −$100 afta di refund. Average: (200 × 324 − 100 × 361)/1,369 = +$20.96. Di refund dey pay only for loss, and two spins dey turn plenty single-spin losses into draw.
Three spins no fit ever draw. Three wins (5,832 times for 50,653): +$300. Two wins (18,468): +$100. One win (19,494): −$100, refund make am −$50. No win (6,859): −$300, refund make am −$150. Average: +$31.45.
Di refund dey worth more di longer you commit, while di edge dey cost only $2.70 for each spin, so di value dey rise reach about +$51 for 25 spins (see di table wey dey up), and odd number of spins dey always beat di even number wey follow am.
One Las Vegas casino once share coupon: bet $5 on 00 and, if e win, dem go pay you $250 instead of di usual $175. How much di $5 bet worth with di coupon, as share of di stake, for im double-zerowheelZeroDi one green pocket wey no even-money, dozen or column bet dey cover; na im be di source of di house edge. Dem also dey call am: single zero, 0.Read di whole tin → wheel?
Show di solution
Answer About +34%: di bet worth +$1.71 for average. If di $250 include di $5 wey dem return, na +31.6%.
Di 00 dey win once for 38 spins. With di coupon: +$250 once, −$5 di oda 37 times. Average: (250 − 37 × 5)/38 = 65/38 = +$1.71, wey be 34.2% of $5. Without di coupon: (175 − 185)/38 = −$0.26, di usual −5.26%.
If $250 na di total wey dem pay back, di win na $245 and di average na (245 − 185)/38 = +$1.58, or 31.6%.
Bollman (2024) give dis coupon, from di Lady Luck casino (now di Downtown Grand), as exercise; di answer wey dem print with am, 7.89%, no match any of di two readings. Like matchplay coupon, e worth sometin once: play am and stop.
Small laugh
Promotion worth pass for di player wey take am and go house.
Sources
- Bollman, M. Basic Gambling Mathematics: The Numbers Behind the Neon, 2nd ed.
- Epstein, R. A. The Theory of Gambling and Statistical Logic, 2nd ed.