Wheels for Bonus Round
Wheels wey dey pay extra when bonus light up: random Bonus numbers for four-zero wheel, wide pocket wey dey give free spins, second wheel of multipliers. Di bonus na real tin, and di bill for am na real tin too.
Somebody must pay for bonus, by extra house pockets or by cut for anoda place. Fast Action Roulette dey pay for im Bonus numbers with four zeros, and im straight up cost 6.65%. Double Bonus Spin dey add wide Bonus pocket wey dey give free spins and, by our calculation, e make im standard bets cheap pass plain American wheel. Di extra bets wey dem build round di bonus na where di cost dey: 13% to 25%. Nobody fit price Deal or No Deal Roulette at all, becos e no tok how often im bonus dey start.
How dem dey pay for bonus
For ordinary wheel, 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 di share of pocketsequipmentPocketOne of di 37 small boxes wey get number for di rotor. Dem also dey call am: slot, cup.Read di whole tin → wey di payoutsmoniPayoutWetin bet wey win dey return, wey dem dey quote as “X to 1” on top di stake wey dem return.Read di whole tin → ignore: 1 in 37, 2 in 38. Bonus dey break dat rule, becos some results dey pay pass wetin di rule allow. Di moni must come from somewhere, and di first three wheels for dis page find am three ways: more house pockets, separate bet on di bonus imself, or both. Di fourth one no tok wetin im bonus cost.
Fast Action Roulette
Fast Action Roulette open for Marina Bay Sands for Singapore for 2020. Im wheel get 40 pockets: 1 reach 36, 0, 00, one S and di logo of di casino, so four pockets wey di payouts ignore. By di rule alone, dat one for cost 10% for every bet. For every spin, 10 of di 40 spaces for di layoutequipmentLayoutDi betting grid wey dem print for di table. Dem also dey call am: table, felt, cloth.Read di whole tin → dey light up anyhow as Bonus spaces. Di layout get 10 rows of 4, and na only four bets dem allow.
How di single number take reach 6.65%
Three times out of four, your number no be Bonus number and e dey pay di normal 35 to 1. About one time out of four e be, and e dey pay 40 to 1. One time in 435, im whole row light up and e dey pay 80 to 1. For average, straight upbetStraight upOne single number, e dey pay 35:1.Read di whole tin → wey win dey pay about 36.3 to 1. Di true oddsmathsTrue oddsDi payout wey go make bet fair: di outcomes wey lose divided by di ones wey win. Straight up on 37 pockets get true odds of 36 to 1.Read di whole tin → for 40 pockets na 39 to 1, so di plain 35 to 1 short by four unitsmoniUnitDi 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 →; di bonuses cover about one third of dat, and di bet cost 6.65% instead of 10%: e cost pass American wheel, e cheap pass plain four-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.
How to design split
Di game no get splitbetSplitTwo numbers wey dey near each oda, e dey pay 17:1.Read di whole tin →. Bollman ask wetin split suppose pay if e use di same Bonus idea: 17 to 1 normally, more if one or both of im numbers na Bonus. For two spaces wey dem give, no one na Bonus 29 times in 52, one na Bonus 20 times in 52 and both na Bonus 3 times in 52. To keep di edge between di American 5.26% and di triple-zero 7.69% leave small choice. Di simplest design leave di one-Bonus case as e be and e dey pay 30 to 1 when both na Bonus: 6.25%.
Double Bonus Spin
Double Bonus Spin from IGT keep di American wheel and add yellow Bonus pocket wey wide like one and half pockets, so di wheel count 39.5 pocket widths. Without free spins, dat extra width for just belong to di house: wetin 3.5 house pockets worth out of 39.5, edge of 8.86% for every bet. When di ballequipmentBallDi small ball wey dem dey throw for di track against di rotor. Modern balls na ivorine or Teflon, 18–21 mm.Read di whole tin → land for di Bonus pocket, every bet for di layout go stay up for two free spins, wey dem dey show as one ball for two rings. You go lose your 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 → only if both free spins miss, and you go win once or twice if one or both hit. Dat one make dis wheel di rare one where di cost depend on how many numbers bet cover: di free spins worth pass for bet wey cover few numbers.
Di yellow bets
Di cost of Double Bonus Spin dey inside im yellow bets, wey you dey put on di Bonus pocket imself. Straight yellow bet dey pay 12 to 1 if di ball land for di Bonus pocket and then e go multiply im prize by 10 if one free spin hit am again, by 100 if both hit am. Split and trio versions dey add 00, or 0 and 00, at 6 to 1 and 4 to 1, but ball for 0 or 00 dey pay without to start di bonus round.
Second wheel of multipliers
For August 2025, di Palazzo for di Las Vegas Strip bring out Bonus Wheel Roulette from Interblock. Four gem pockets wey get colour take di place of di zeros, and ball wey land for gem dey start second wheel wey get multipliers up to 500×. One Las Vegas news report give house edge of 10% for di numbers and 9.25% for di gems. Ten percent na wetin four house pockets cost for 40-pocket wheel, di same base as Fast Action, before dem give back any bonus. We never see di full pay tablemoniPay tableDi list of wetin each bet or each result dey pay. For machines and side bets, na there dem dey set di house edge.Read di whole tin →, so dis na di figures wey dem report.
Roulette Wheels for Las VegasMultipliers for Lightning Roulette
Deal or No Deal Roulette: price wey nobody publish
One online single-zero game, wey dem dey offer mainly British players, add ring outside di numbers. Most of am blank, with one redbetRedEven-money bet on di 18 red numbers. For French: rouge.Read di whole tin → box and one blackbetBlackEven-money bet for di 18 black numbers. For French: noir.Read di whole tin → telephone. Di main bets na ordinary European roulettetype of rouletteEuropean rouletteSingle-zero wheel, 37 pockets, house edge 2.70%. Na di main model for dis site.Read di whole tin →. Optional Bonus Bet dey win if di ball stop beside one of di two symbols. Beside di box, you dey play di television show: 22 boxes hold 3 to 151 times di bet, you keep one and open di oda ones in rounds of six, five, five and four, and afta each round, banker dey offer about 96% of di average of di boxes wey never open. Di 22 prizes average 1,027/22 = 46.68 times di bet, so to refuse every offer worth small pass to take one, for average. Beside di telephone, you go open one of three boxes, wey dey cap prize wheel at 50, 80 or 100 times di bet, and you fit spin am up to three times. Di strategy wey dem state, to take 35 or more for di first spin and 27 or more for di second, dey average 40.42 times di bet.
Wetin di game leave out
Di help screen dey give di prizes but e no tok how often di ball dey stop beside symbol. If na 1 spin in 37 for each one, di bonus bet go return 46.68/37 + 40.42/37, about 235% of wetin you stake: bet wey favour di player pass two to one. One estimate wey dem publish put di symbol frequency far below dat, and without di frequency nobody fit price di bet. Pay table wey no get chances beside am no be price.
Wetin to take from am
Bonus no dey make wheel cheap pass unless di casino give back pass wetin di bonus cost am, and na only one of di three wey we price for here dey do am.
- Count di house pockets first. Four of dem start from 10%, no matter wetin light up.
- Di bets on di bonus imself na di ones wey cost pass for di layout: 13% to 25% for here.
- Di standard bets of Double Bonus Spin na di exception, under 3% by our calculation, if di game dey pay as dem describe am.
- Read di help screen: “for 1” or “to 1”, and wetin bonus dey multiply.
Questions wey pipo dey ask
Im straight up, at 6.65%, cost pass American wheel and e cost far pass European one. Im three bonus bets cost 13% to 25%.
Becos di two free spins worth pass wetin di extra one and half pocket cost, for every standard bet. Na our calculation from di rules as Bollman describe dem; check di game own pay table.
Four gem pockets wey di payouts treat as house pockets, and na di same tin for di price: 10% before di bonus wheel.
Play with Maths
Try dem by yourself first. Each solution dey folded; open am when you ready.
For Fast Action Roulette, 10 out of di 40 spaces for di layoutequipmentLayoutDi betting grid wey dem print for di table. Dem also dey call am: table, felt, cloth.Read di whole tin → dey light up as Bonus spaces for every spin, and na random dem dey choose dem. Di layout get 10 rows of 4. How often exactly one whole row go light? How often two go light?
Show di solution
Answer One whole row: about 2.3% of spins, 1 for 44. Two whole rows: about 1 spin for 38,000.
847,660,528 ways dey to pick 10 spaces out of 40, and all of dem get equal chance.
Two whole rows: choose di two rows (45 ways), then choose di last 2 Bonus spaces from di oda 32 (496 ways). Two spaces no fit complete third row, so na 22,320 ways: 1 for about 37,978.
Exactly one whole row: choose di row (10 ways) and di oda 6 spaces from di 36 wey remain (1,947,792 ways), then remove di choices wey complete second row (9 rows × 496 = 4,464). E remain 10 × 1,943,328 = 19,433,280 ways, 2.29%. Di answer key of Bollman print 0.0203, wey be like mistake for 0.0230: one particular row dey full 2.30% of di time, and ten rows dey.
Double Bonus Spin dey keep di American layout, including di five-number basketbetBasketFor single-zero wheel: 0, 1, 2, 3 with one chip, e dey pay 8:1. Dem also dey call am: first four, quatre premiers.Read di whole tin →, wey dey pay 6 to 1. Im yellow Bonus pocketequipmentPocketOne of di 37 small boxes wey get number for di rotor. Dem also dey call am: slot, cup.Read di whole tin → wide reach one and half pockets, and ballequipmentBallDi small ball wey dem dey throw for di track against di rotor. Modern balls na ivorine or Teflon, 18–21 mm.Read di whole tin → wey land there dey give every bet two free spins. Bollman leave di cost of di basket as exercise. How much e be?
Show di solution
Answer About 4.72%, against 7.89% for di same bet for plain American wheel.
Count di wheel in pocket widths: 38 normal pockets and 1.5 for di Bonus, 39.5 in all. For normal spin, di basket dey win with chance 5/39.5 and e dey pay 6, and e dey lose with chance 33/39.5.
For di bonus round, each free spin dey hit one of your five numbers with chance 5/39.5. You go lose your 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 → only if both miss, (34.5/39.5)² = 76.3% of di time; one hit dey pay 6, two hits dey pay 12. For average, di round worth +0.756 unitsmoniUnitDi 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 →.
Put am togeda, for each spin: (5 × 6 − 33 + 1.5 × 0.756)/39.5 = −0.0472. Di free spins dey save di basket from about two fifths of im usual cost. Na we calculate di answer; Bollman set di question without answer.
Small laugh
Count di house pockets before di lights.
Sources
- Bollman, M. Mathematics of the Big Four Casino Table Games: Blackjack, Baccarat, Craps, & Roulette.
- “Uh-Oh! Quadruple Zero Roulette Hits Las Vegas Strip.” Bonus Wheel Roulette for di Palazzo.
- Wizard of Odds. “Deal or No Deal Roulette.”