Boule aur Chhote Wheels
Roulette ke chhote cousins: French casinos ka nau-number wala wheel, bees faces wala dice, pin board, balls ke hopper ke saath wheel aur lights ka ek star. Ek hi rule sabki keemat batata hai.
Boule, jo kuch French casinos mein abhi bhi deal hota hai, mein nau numbers hain aur unme se ek par 7 to 1 deta hai: 11.11%, European wheel ka chaar guna. Roulette-18 wheel ghumane ki jagah dice phenkta hai aur 5.26% leta hai. Online, Pin Ball aur Spingo 2% se 4.76% lete hain, aur Lucky Star, yaani star ke chaaron taraf daudti ek light, 2.22% se 4%. Diamond Roulette ne red aur black hata kar chhe colors rakhe aur ek bet 15.79% par becha.
Ek rule, chhote wheels
Unusual-wheels page ka rule in games ki keemat bhi batata hai: woh results giniye jinhe payoutspaisaPayoutJeetne wala bet kya lautata hai, “X to 1” ke roop mein bataya jaata hai, wapas mile stake ke upar.Poora padhein → ignore karte hain aur unhe saare results se divide kijiye. European wheel par zerowheelZeroAkela green pocket jise koi even-money, dozen ya column bet cover nahi karta; house edge ka source. Doosre naam: single zero, 0.Poora padhein → 37 mein 1 pocketsaamanPocketRotor ke 37 numbered khaanon mein se ek. Doosre naam: slot, cup.Poora padhein → hai. Chhote wheel par ek house pocket bada hissa hota hai, isliye chhote games aksar zyada lete hain, jab tak payouts kisi aur tarike se tay na hon.
Boule: nau numbers
Boule roulette ka chhota French cousin hai, jo France ke kuch casinos mein abhi bhi deal hota hai; Antibes ke ek casino ki booklet iske rules batati hai. BallsaamanBallChhoti ball jo rotor ki ulti disha mein track par chhodi jaati hai. Aaj ki balls ivorine ya Teflon ki hoti hain, 18–21 mm.Poora padhein → nau numbers mein se ek par rukti hai. Chaar blackbetBlack18 black numbers par even-money bet. French mein: noir.Poora padhein → hain (1, 3, 6, 8), chaar redbetRed18 red numbers par even-money bet. French mein: rouge.Poora padhein → (2, 4, 7, 9), aur yellow mein 5 house number hai. Single number 7 to 1 deta hai. Even-money betsbetEven-money betRed/black, odd/even, high/low. 18 numbers, payout 1:1.Poora padhein →, red ya black, odd ya even, low (1 se 4) ya high (6 se 9), sab 5 aane par haar jaate hain. Har bet 1/9 = 11.11% leta hai, European wheel ka chaar guna. Malaysia ke Genting ka ek version apne wheel par 0 se 9 numbers rakhta hai aur ek number par 8 to 1 aur teen par 2 to 1 deta hai: 10%.
Avions: satrah numbers
Epstein (2013) ek aur chhote wheel, Avions, ka record dete hain, jo kuch samay Monte Carlo mein 17 numbers ke saath deal hota tha. Single number 15 to 1 deta tha, chaar ke groups 3 to 1, aur even-money bets aath-aath numbers cover karte the, 9 ko chhod kar, jo zero ka kaam karta tha. Har bet 1/17 = 5.88% banta hai, American 5.26% se thoda zyada, European wheel se aadhe size ke wheel par.
Roulette-18: wheel ki jagah dice
Roulette-18 2014 mein Global Gaming Expo mein dikhaya gaya aur United Kingdom ke kuch Grosvenor casinos mein deal hua. Bees faces wala ek dice wheel ki jagah leta hai, jisme 1 se 18 numbers, ek 0 aur ek 00 hain. 00 par kuch settle nahi hota aur dice dobara phenka jaata hai, jisse 19 live faces bachte hain aur payouts 18 ke hisaab se tay hain: straight-upbetStraight-upEk single number, payout 35:1.Poora padhein → 17 to 1 deta hai, splitbetSplitDo saath wale numbers, payout 17:1.Poora padhein → 8 to 1, streetbetStreetLayout ki ek row ke teen numbers, payout 11:1. French mein: transversale.Poora padhein → 5 to 1, cornerbetCornerLayout par ek corner share karne wale chaar numbers, payout 8:1.Poora padhein → 7 to 2, line 2 to 1. Har bet 1/19 = 5.26% leta hai, American keemat, sivaay even-money bets ke, jo 0 par sirf aadha haarte hain: 2.63%.
Pin Ball aur Spingo: online games
Realistic Games ka Pin Ball ek ball ko pins ke board se gira kar 25 slots, 0 se 24, mein se ek mein daalta hai. Bets aise dete hain jaise 24 slots hon: single number 23 to 1, split 11 to 1, isliye har ek 1/25 = 4% leta hai, aur even-money bets 0 par sirf aadha haarte hain, jisse woh 2% par aa jaate hain. Microgaming ka Spingo do draws jodta hai: 21 balls ke hopper se ek ball, 1 se 10 tak har number ki do aur ek 0, aur 25 segments ka ek wheel, aath-aath yellow, red aur blue aur ek green. Number 9 to 1 deta hai aur 4.76% leta hai; color 2 to 1 deta hai aur 4% leta hai. Board ka sabse lamba shot, number aur color ek saath, 525 mein 16 ke chance par 31 to 1 deta hai aur sirf 2.48% leta hai: game ka sabse sasta bet.
Lucky Star: star par ek light
Lucky Star, jo British players ke liye kuch online casinos mein offer hota tha, mein koi ball nahi hai. Paanch seedhi lines se bane paanch-kone wale star ke chaaron taraf ek light daudti hai aur 0 se 8 numbered 40 spots mein se ek par rukti hai. Jahan lines cross karti hain woh paanch spots sab 1 numbered hain, aur light ek chakkar mein har ek se do baar guzarti hai, isliye ek chakkar mein 45 stops hote hain aur 1 sabse likely result hai, 45 mein 10 stops. Bets number par, color par (0 aur 8 green; 1, 3 aur 6 red; 2, 4, 5 aur 7 black), odd ya even, low (1–4) ya high (5–8), In ya Out, aur paanch Chinese elements par lagte hain, har line ke liye ek. Payouts “for 1” hain aur fractions mein aate hain, jaise red ke liye 2.2, jisse har bet ki keemat baaki se do points ke andar rakhi ja sakti hai: 2.22% se 4% tak.
Diamond Roulette: chhe colors aur koi red nahi
Diamond Roulette 2008 mein Atlantic City mein ek double-zero wheel par aaya, jisme numbers chhe-chhe numbers ke chhe colors mein the, aur koi red ya black bet nahi tha. Ek color 5 to 1 deta tha: 5.26%, aam American keemat, ya single-zero wheel par 2.70%. Trap tha 0 aur 00 jode gaye color ka bet: 3 to 1 par aath numbers, jahan rule 3¾ to 1 maangta hai. Yeh 15.79% leta tha. Payout ko unitpaisaUnitBase stake jismein koi system ya player kaam karta hai. Progressions units mein batayi jaati hain taaki kisi bhi table par laagu hon.Poora padhein → ke ek fraction se neeche round karna ek bet ko baaki se teen guna mehenga bana sakta hai.
Chhote wheels kya dikhate hain
Device badalta hai; arithmetic nahi.
- Nau mein ek house number 11.11% leta hai; 37 mein ek 2.70%. Jitne kam numbers, utna mehenga zero.
- Dice, pin board ya hopper kuch nahi badalte: keemat results ki ginti aur payouts mein hai.
- Zero par aadha wapas, jaise Pin Ball aur Roulette-18 par, even-money edge ko aadha kar deta hai, jaise la partageniyamLa partageFrench rule: zero aane par even-money stake ka aadha wapas milta hai. In bets par house edge aadha hokar 1.35% ho jaata hai.Poora padhein → karta hai.
- Fractions mein payouts, jaise Lucky Star par, designer ko har bet ki keemat baaki se ek-do point ke andar rakhne dete hain.
- Woh bet dhoondhiye jiska payout neeche round kiya gaya hai: Diamond ka 3¾ ki jagah 3 to 1.
Sawaal
Nahi. 11.11% par yeh European wheel ka chaar guna leta hai. Yeh isliye bacha hai kyunki yeh tez aur simple hai, isliye nahi ki sasta hai.
Boule kuch French casinos mein abhi bhi deal hota hai. Roulette-18 2010s mein British casinos mein deal hota tha. Pin Ball, Spingo aur Lucky Star online games the, aur Diamond Roulette Atlantic City se ja chuka hai.
Kyunki uska 31 to 1 ka payout fair, 31.8 to 1, ke single bets ke payouts se zyada kareeb hai. Har bet ki keemat alag se tay hoti hai.
Maths ke saath mazaa
Pehle khud try kijiye. Har solution chhupa hua hai; jab taiyaar hon tab kholiye.
Spingo 21 balls ke hopper se ek ballsaamanBallChhoti ball jo rotor ki ulti disha mein track par chhodi jaati hai. Aaj ki balls ivorine ya Teflon ki hoti hain, 18–21 mm.Poora padhein → nikaalta hai (1 se 10 tak har ek ki do, ek 0) aur 25 segments ka wheel ghumata hai (teen colors mein se har ek ke aath, ek green). Number 9 to 1 deta hai, color 2 to 1, aur number aur color ek saath 31 to 1. Teeno ki keemat nikaliye.
Solution dikhaiye
Jawab Number 4.76%, color 4.00%, number aur color 2.48%: sabse lamba shot sabse sasti bet hai.
Number: 21 mein 2 balls. Jeetne wala $1 $10 wapas laata hai, isliye bet 2/21 × 10 = 20/21 lautati hai: edge 1/21 = 4.76%.
Color: 25 mein 8 segments, $3 wapas: 24/25, edge 4%.
Dono ek saath: ball aur wheel alag-alag draws hain, isliye chances guna hote hain: 2/21 × 8/25 = 16/525. Jeetne wala $32 wapas laata hai, isliye bet 525 lagane par 16 × 32 = 512 lautati hai: edge 13/525 = 2.48%.
Fair payoutpaisaPayoutJeetne wala bet kya lautata hai, “X to 1” ke roop mein bataya jaata hai, wapas mile stake ke upar.Poora padhein → 509/16 hota, lagbhag 31.8 to 1, isliye 31 to 1 battees mein ek unitpaisaUnitBase stake jismein koi system ya player kaam karta hai. Progressions units mein batayi jaati hain taaki kisi bhi table par laagu hon.Poora padhein → se bhi kam peeche hai. Board par har bet ki keemat alag lagti hai, aur lambe shots hamesha mehnge nahi hote.
Roulette-18 par redbetRed18 red numbers par even-money bet. French mein: rouge.Poora padhein → par bet dice ke 19 live faces mein se 9 cover karti hai, even money deti hai aur 0 aane par sirf aadha haarti hai. Iski keemat kya hai?
Solution dikhaiye
Jawab 1/38, lagbhag 2.63%.
Dice ko 19 baar phenkiye, dobara phenke gaye 00 chhodkar. Average mein red 9 baar aata hai (+9), blackbetBlack18 black numbers par even-money bet. French mein: noir.Poora padhein → 9 baar (−9) aur 0 ek baar, jo aadha stake le leta hai (−½).
Net: 19 throws mein −½, yaani 1/38 = 2.63%.
Aadha wapas na milta to yeh 19 mein −1 hota, 5.26%, dice par har doosri bet ki keemat. ZerowheelZeroAkela green pocket jise koi even-money, dozen ya column bet cover nahi karta; house edge ka source. Doosre naam: single zero, 0.Poora padhein → par aadha lautana edge ko aadha kar deta hai, jaise French table par la partageniyamLa partageFrench rule: zero aane par even-money stake ka aadha wapas milta hai. In bets par house edge aadha hokar 1.35% ho jaata hai.Poora padhein → karta hai.
Multicolore, jo 1950 ke dashak mein Monte Carlo mein khela jaata tha, ek ball ko 25 sectorswheelSectorWheel par pockets ka lagatar ek hissa (arc), layout ke kisi group se alag cheez.Poora padhein → par ghumata tha: green, red, white aur yellow ke chhe-chhe, aur ek blue. Color par bet us odds par pay hoti hai jo us sector par chhapa hai jahan ball rukti hai: har color ke chhe sectors par 4, 3, 3, 3, 2 aur 2 to 1, aur blue par 24 to 1. Har bet ki keemat kya hai?
Solution dikhaiye
Jawab Blue ek fair bet hai aur iski koi keemat nahi. Baaki har color ki keemat 8% hai.
Maan lijiye 25 spins jinmein har sector ek baar aata hai. Green par $1 ki bet uske chhe sectors par jeetti hai, 4 + 3 + 3 + 3 + 2 + 2 = $17, aur baaki 19 par $1 haarti hai: 25 spins mein −$2, 8%.
Blue ek baar $24 jeetta hai aur baaki 24 sectors par $1 haarta hai: bilkul barabar.
Fair bet wala casino game kam milta hai. Boule ke 11.11% ke saamne, blue room mein lagane laayak akeli bet thi. Bollman (2024) is game ko ek exercise ke roop mein deta hai.
Thodi hansi
Nau mein ek house number 11.11% hai.
Sources
- Wizard of Odds. “Boule”, “Roulette-18”, “Pin Ball”, “Spingo”, “Lucky Star” aur “Diamond Roulette”.
- Epstein, R. A. The Theory of Gambling and Statistical Logic, 2nd ed.