Double Ball Roulette
Ek wheel par do balls. Inside betsbetInside betGrid ke numbers par ya unke beech lagaya gaya koi bhi bet: straight-up, split, street, corner, six line.Poora padhein → ko ek ball chahiye; outside bets ko dono.
Double-ball roulette mein do balls ek saath chhodi jati hain aur independent tarike se girti hain, isliye kabhi-kabhi dono ek hi pocket mein aa jati hain. Inside bets tab jeetti hain jab koi bhi ball lag jaye, aam payout ke aadhe par, aur dono lagne par double deti hain. Outside bets tabhi jeetti hain jab dono balls ek jaisi hon, jisse woh one-ball table se do guna mehngi padti hain. Jackpot bet tab payout deti hai jab dono balls aapke number par girein.
Inside bets
Aapka straight-upbetStraight-upEk single number, payout 35:1.Poora padhein → tab jeetta hai jab koi bhi 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 → us par gire, aur har aisi ball ke liye 17 to 1 deta hai, yaani dono girein toh 34 to 1. Single-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 → wheel par 1,369 barabar sambhav pairs mein se 72 mein ek ball aapke number par girti hai aur 1 mein dono. Bet 72 × 17 + 34 = 1,258 jeetti hai aur 1,296 haarti hai, 1,369 mein 38 ka net nuksaan: 2.78% ka edge, 2.70% se thoda upar. Dono balls lagne par 35 to 1 dene se yeh wapas theek 2.70% ho jata. Aadhe payoutspaisaPayoutJeetne wala bet kya lautata hai, “X to 1” ke roop mein bataya jaata hai, wapas mile stake ke upar.Poora padhein → poori inside table mein chalte hain. CornerbetCornerLayout par ek corner share karne wale chaar numbers, payout 8:1.Poora padhein → jaal hai: 3 to 1 par iski keemat 14.7% hai, jabki fair keemat lagbhag 3.7 to 1 hogi.
Outside bets
RedbetRed18 red numbers par even-money bet. French mein: rouge.Poora padhein → ke liye dono balls red chahiye: (18/37)² = 23.7%, payout 3 to 1. Bet stake ka 4 × 23.7% = 94.7% wapas karti hai, 5.33% ka edge, European figure ka do guna. DozenbetDozen1–12, 13–24 ya 25–36, payout 2:1.Poora padhein → ke liye dono balls usmein chahiye, (12/37)² = 10.5%, aur payout 8 to 1: phir se 5.33%. Wahi haal us bet ka hai jismein ek ball red aur doosri blackbetBlack18 black numbers par even-money bet. French mein: noir.Poora padhein → gire, even money par. Teeno ki keemat 1 − (36/37)² = 5.33% hai, us bet ki keemat jise zero se do baar bachna padta hai.
Yeh kahan milta hai
Game 2013 mein Global Gaming Expo mein dikhaya gaya aur 2014 se Las Vegas ke Tropicana mein double-zero wheel par chala. Wahan red ki keemat 10.25% hai aur 1,200 to 1 jackpot ki 16.83%. Live studios single-zero versions chalate hain aur jackpot par 1,300 to 1 dete hain. Balls ek tube se compressed air se, ek pal ke fark par, chhodi jati hain; maker ke tests mein woh ek pocketsaamanPocketRotor ke 37 numbered khaanon mein se ek. Doosre naam: slot, cup.Poora padhein → utni hi baar share karti mili jitna chance batata hai.
Khelna hi hai toh kaise khelein
Straight ups aur splitsbetSplitDo saath wale numbers, payout 17:1.Poora padhein →, 3% se kam par, imaandar hissa hain. Outside betsbetOutside betGrid ke chaaron taraf ke boxes par bet: dozens, columns aur even-money bets.Poora padhein → European table se do guna mehngi hain. 3 to 1 wale corners American wheel ki kisi bhi bet se mehnge hain. Jackpot bet ek lottery ticket hai jiski keemat table par nirbhar hai: 1,300 to 1 par 4.97%, 1,200 par 12.27%.
Sawaal
Haan. Woh independent tarike se girti hain, isliye dono ek pocket mein average mein 37 spins mein ek baar girti hain, aur aapke chune hue pocket mein 1,369 mein ek baar. Jackpot bet isi ka payout deti hai.
Kyunki 23.7% chance ka fair payout 3.22 to 1 hai, aur fark house rakh leta hai, stake ka 5.33%.
Fair 1,368 to 1 hoga. 1,300 par iski keemat 4.97% hai, usi table par red se thodi kam; 1,200 par 12.27%.
Maths ke saath mazaa
Pehle khud try kijiye. Har solution chhupa hua hai; jab taiyaar hon tab kholiye.
Single-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 → wheel par double-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 → roulette mein, redbetRed18 red numbers par even-money bet. French mein: rouge.Poora padhein → ke liye dono balls red honi chahiye aur yeh 3 to 1 deta hai, dozenbetDozen1–12, 13–24 ya 25–36, payout 2:1.Poora padhein → ke liye dono balls usmein honi chahiye aur yeh 8 to 1 deta hai, aur ek red aur ek blackbetBlack18 black numbers par even-money bet. French mein: noir.Poora padhein → par bet even money deti hai. Teeno ki keemat theek 5.33% kyun hai?
Solution dikhaiye
Jawab Har ek har $1,369 lagane par $1,296 lautati hai: zero ko do baar paar karne ki keemat.
37 pocketssaamanPocketRotor ke 37 numbered khaanon mein se ek. Doosre naam: slot, cup.Poora padhein → par do balls 37 × 37 = 1,369 barabar sambhav jode banati hain.
Dono balls par red: 18 × 18 = 324 jode. 3 to 1 par jeeta hua $1 $4 wapas laata hai, isliye bet 324 × 4 = 1,296 lautati hai.
Dozen: 8 to 1 par 12 × 12 = 144 jode, $9 wapas: 144 × 9 = 1,296.
Ek red aur ek black: dono tarah se 18 × 18 jode, kul 648, even money par, $2 wapas: 648 × 2 = 1,296.
Har bet $1,369 lagane par $1,296 wapas paati hai. Nuksaan 73/1,369 = 5.33% hai. Aur 1,296 = 36 × 36: har payoutpaisaPayoutJeetne wala bet kya lautata hai, “X to 1” ke roop mein bataya jaata hai, wapas mile stake ke upar.Poora padhein → aise tay hai jaise dono balls ko zero se bachna ho, jo 1 − (36/37)² hai. Double-zero wheel par yahi hisaab 1 − (36/38)² = 10.25% deta hai.
Double-ball table par straight-upbetStraight-upEk single number, payout 35:1.Poora padhein → aapke number par girne wali har ball ke liye 17 to 1 deta hai, yaani dono giren toh 34 to 1. Single-zero wheel par iski keemat kya hai, aur ise wapas 2.70% par kya laayega?
Solution dikhaiye
Jawab 2.78%. Dono balls hit hone par 35 to 1 dena ise theek 2.70% bana dega.
1,369 jodon mein se, aapka number sirf pehli ball par 36 mein hai, sirf doosri ball par 36 mein, dono par 1 mein, aur kisi par nahi 36 × 36 = 1,296 mein.
Ek ball: +17 par 72 jode, yaani +1,224. Dono balls: +34 par 1 joda. Koi nahi: −1 par 1,296 jode. Total: 1,224 + 34 − 1,296 = −38, 38/1,369 = 2.78% ka edge.
Agar double hit 35 to 1 deta, toh total −37 hota, aur 37/1,369 = 1/37 = 2.70%, European keemat. House 1,369 mein ek extra 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 → rakhta hai.
Thodi hansi
Inside bets imaandar; outside bets ki keemat do guna.
Sources
- Wizard of Odds. “Double Ball Roulette.”
- Ethier, S. N. The Doctrine of Chances: Probabilistic Aspects of Gambling.