Labouchère Roulette Strategy
Labouchère roulette strategy numbers ki ek line se chalti hai. Dono siron ka sum bet kijiye. Jeet ke baad unhe kaat dijiye, haar ke baad haari hui bet line mein jod dijiye.
Yeh wheel ko beat nahi karti. Line poori karne par uska total jeet milta hai. Losing stretches mein line badhti hai, aur saath mein stakes bhi. Expected loss: lagaye gaye poore paise ka 2.70%.
System par chaliye
Stake pehla number plus aakhri number hai. Jeet par dono kaat diye jaate hain. Haar par stake ant mein likha jaata hai.
Stakes aur results base bet ke units mein hain.
Kaagaz par Labouchère roulette system kaise kaam karta hai
Tay kijiye ki aap kitna jeetna chahte hain, maan lijiye 10 unitspaisaUnitBase stake jismein koi system ya player kaam karta hai. Progressions units mein batayi jaati hain taaki kisi bhi table par laagu hon.Poora padhein →, aur ise numbers ki line ke roop mein likhiye jinka sum utna ho: 1 2 3 4. Har bet pehla number plus aakhri number hai: 1 + 4 = 5. Jeete, toh dono sire kaat dijiye; ab line 2 3 hai. Haare, toh stake ko aakhir mein likh dijiye: 1 2 3 4 5. Tab tak chaliye jab tak line khaali na ho jaaye, matlab aap 10 units jeet gaye, ya jab tak agli bet afford na kar sakein. Yeh ek to-do list jaisa hai jismein har poora kaam do items hatata hai aur har fail kaam neeche ek bada item jod deta hai.
Line aksar clear kyun ho jaati hai?
Har jeet do numbers hatati hai; har haar ek jodti hai. Jab bhi jeet haar ke aadhe se zyada baar aati hain, line chhoti hoti hai, aur even money (48.6%) par aksar aisa hi hota hai. Zyadatar lines clear ho jaati hain. Yahi attraction hai aur yahi jaal: jin sessions mein line clear nahi hoti, unmein kuch der tak haar jeet se do-guna zyada rahi hoti hain, aur tab tak line ke numbers, aur stakes, bade ho chuke hote hain.
- p10 −$500
- p25 −$500
- median −$500
- p75 −$500
- p90 +$1,570
Kya Labouchère system kaam karta hai?
Nahi. Zyadatar lines clear hoti hain, aur jo nahi hoti woh clear hui lines ki kamai se zyada le jaati hain. 1 2 3 4 se shuru karke, lagataar aath haar line 1 2 3 4 5 6 7 8 9 10 11 12 banati hain aur agli bet 13 units ki, jabki 68 units pehle hi ja chuke hain. $10 ke unit par yeh $130 ki bet hai aur $680 ka nuksaan. Kisi bhi starting point se lagataar aath even-money haar ki probabilityganitProbabilityKisi outcome ka chance, 0 se 1 tak ya 0% se 100% tak. Ek number: 1/37 = 2.70%.Poora padhein → (19/37)⁸ ≈ 0.5% hai, aur 200-spin session mein bahut saare starting points hote hain. MartingalestrategyMartingaleProgression jo har haar ke baad bet double karti hai. Yeh kya karti hai aur kya nahi, iske liye Strategy section dekhiye.Poora padhein → ke ulat, ek jeet ise theek nahi karti; line clear honi chahiye, jiske liye haar se kai zyada jeet chahiye.
Ek chhoti line ke peeche kitna paisa chahiye?
Sabse chhoti common line, 1 2 3, 6 units jeetti hai. Humne European wheel par, bina table maximum ke, redbetRed18 red numbers par even-money bet. French mein: rouge.Poora padhein → par aisi bees lakh lines simulate ki aur record kiya ki har line ko kabhi bhi sabse zyada kitna paisa chahiye tha: ab tak ka loss plus agli bet. Aadhi lines ko kabhi 9 units se zyada nahi chahiye the. Das mein se ek ko 79 se zyada aur pachaas mein se ek ko 490 se zyada chahiye the, aur 100 mein se 99 lines poori karne ke liye player ko 6-unit target ke peeche lagbhag 1,050 units chahiye. Bina 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 → ke bhi, ek fair gameganitFair gameAisa game jismein kisi bhi side ka edge nahi: har bet ki expected value zero hai.Poora padhein → mein, lagbhag 700 lagte. Isse kam paisa ho toh line kabhi-kabhi haar jaati hai, aur ek haari hui line bahut saari poori lines ki kamai se zyada le jaati hai.
Kya iske aur versions hain?
Reverse LabouchèrestrategyLabouchèreCancellation system: numbers ki ek line likhiye, dono siron ka jod bet kijiye, jeet ke baad unhe kaat dijiye, haar ke baad haara hua stake jod dijiye.Poora padhein → jeet ke baad jodta hai aur haar ke baad kaatta hai, jisse yeh built-in stop wala positive progressionstrategyProgressionKoi bhi rule jo pichhle results ke hisaab se stake badalta hai. Negative progressions haar ke baad ise badhati hain, positive jeet ke baad.Poora padhein → ban jaata hai. Lambi line ko do chhoti lines mein todna (“1 2 3 4 5 6” ko “1 2 3” aur “4 5 6” mein) stakes kam karta hai aur clear karne wali lines double kar deta hai. Ek hi number se shuru karna bas target ke saath flat bettingstrategyFlat bettingHar spin par same raqam lagana. Har progression ko isi baseline se compare kiya jaata hai.Poora padhein → hai.
Kya reverse Labouchère ne Nice ke casino ko beat kiya tha?
Reverse version mein jeet stake ko line ke aakhir mein jodti hai aur haar dono sire kaat deti hai. Jo line khaali ho jaati hai, woh apna total le jaati hai, 1 2 3 4 ke liye 10 units; jo line jeetti rehti hai, uski bets tab tak badhti hain jab tak agli table maximum se upar na chali jaaye, aur phir player profit rakh leta hai aur dobara shuru karta hai. Yeh andar se bahar palta hua Labouchère hai: bahut saari chhoti haarti lines aur kabhi-kabhi ek badi jeet. Norman Leigh ki kitaab Thirteen Against the Bank (1976) batati hai ki unki team ne 1966 mein Nice mein ise saare chhe even chances par kaise use kiya, aur baad ki ek retelling claim karti hai ki 100 mein se 96 practice sessions jeete (Goldman, 2007). Yeh ulta hai. Hamare simulation mein zyadatar sessions haarte hain aur kuch bada jeette hain, aur maximum jitna oonchi, jeet utni kam aur badi. Keemat 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 → ke saath wahi turnoverpaisaTurnoverSession ya muddat mein lagayi gayi kul raqam, dobara lagayi gayi jeet milakar. Doosre naam: handle, action.Poora padhein → ka 1.35% hai, maximum kuch bhi ho.
Labouchère kaun the?
Henry Labouchère (1831–1912), journalist, theater ke maalik aur Liberal MP, ne London society mein is system ko popular banaya aur kaha jaata hai ki Monte Carlo mein use kiya. Cancellation method unse pehle ka hai. Yeh kabhi nahi dikhaya gaya ki yeh expected lossganitExpected lossExpected value guna kul lagayi gayi raqam; ek session ya ek muddat mein ausat nuksaan.Poora padhein → badalta hai, jo stakes ka sum 37 se divide karke aata hai.
Simulator · Labouchère
$1,000 bankroll se even-money bets ke 2,000 sessions.
Base bet $10 · table limit $500 · har session 100 spins
Haar ki streak kitni baar aati hai
Single-zero wheel par even-money bet 37 mein se 19 spins haarti hai. Har row woh chance hai ki spins ka ek diya hua silsila poora haar jaaye, aur tab tak ek Labouchère player, jo line 1 2 3 4 se shuru karta hai aur har haara hua stake uske ant mein likhta hai, kitna haar chuka hota hai.
| lagatar haar | chance | lagbhag 1 in | ab tak ki haar | agli bet |
|---|---|---|---|---|
| 1 | 51.4% | 2 | $5 | $6 |
| 2 | 26.4% | 4 | $11 | $7 |
| 3 | 13.5% | 7 | $18 | $8 |
| 4 | 7.0% | 14 | $26 | $9 |
| 5 | 3.6% | 28 | $35 | $10 |
| 6 | 1.8% | 55 | $45 | $11 |
| 7 | 0.94% | 106 | $56 | $12 |
| 8 | 0.48% | 207 | $68 | $13 |
| 9 | 0.25% | 403 | $81 | $14 |
| 10 | 0.13% | 784 | $95 | $15 |
| 11 | 0.065% | 1527 | $110 | $16 |
| 12 | 0.034% | 2974 | $126 | $17 |
| 13 | 0.017% | 5792 | $143 | $18 |
| 14 | 0.0089% | 11279 | $161 | $19 |
| 15 | 0.0046% | 21965 | $180 | $20 |
Chance 19/37 ko har haar par ek baar khud se guna karke aata hai, ek diye hue spin se gina hua. Lambe session mein aise kai spins hote hain jahan aisa silsila shuru ho sakta hai, isliye ek shaam mein yeh ek row ke andaaze se kahin zyada mumkin hai.
Sawaal
Stakes dheere badhte hain, toh khaai kam aati hai aur chadhai lambi hoti hai. Har lagaye gaye unit par expected loss bilkul same hai.
Chhote numbers wali chhoti line. Yeh stakes aur clear hone ka time limit karti hai; edge nahi badalti.
Haan. Aapka result bas us pal ka running total hai.
Maths ke saath mazaa
Pehle khud try kijiye. Har solution chhupa hua hai; jab taiyaar hon tab kholiye.
Standard LabouchèrestrategyLabouchèreCancellation system: numbers ki ek line likhiye, dono siron ka jod bet kijiye, jeet ke baad unhe kaat dijiye, haar ke baad haara hua stake jod dijiye.Poora padhein → 1 2 3 4 5 se shuru kijiye, target 15, aur pehli chaar bets haariye. Line kya hai, aap kitne neeche hain, aur agli bet kya hai?
Solution dikhaiye
Jawab Line 1 2 3 4 5 6 7 8 9 hai, aap 30 unitspaisaUnitBase stake jismein koi system ya player kaam karta hai. Progressions units mein batayi jaati hain taaki kisi bhi table par laagu hon.Poora padhein → neeche hain, aur agli bet 10 ki hai.
Bets hain 1 + 5 = 6, phir 1 + 6 = 7, 1 + 7 = 8 aur 1 + 8 = 9. Har haar line ke end mein likhi jaati hai. Ab tak haare: 6 + 7 + 8 + 9 = 30.
Line ka jod ab 45 hai: 15 ka target plus haare hue 30. Ise saaf karne par ab bhi theek 15 hi jeette hain. Har jeet do numbers kaatti hai, isliye kam se kam paanch aur jeet chahiye, 10-unit ki bet se shuru karke, aur raaste ki har haar line ko phir lamba kar deti hai.
Bartschelly ka “Guaranteed Roulette System” 1 1 1 1 1 2 2 2 2 2 se shuru hota hai, target 15. Haar ke baad yeh haari raqam end mein nahi likhta: ise ek-ek unit karke line ke aakhri numbers mein jodta hai. Teen bets haariye. Line kya hai, aap kitne neeche hain, aur agli bet kya hai?
Solution dikhaiye
Jawab Line 1 1 1 1 1 3 4 5 5 5 hai, aap 12 units neeche hain, aur agli bet 6 ki hai, bilkul standard Labouchère ki tarah.
Pehli bet: 1 + 2 = 3. Yeh haarti hai, aur aakhri teen numbers mein se har ek par 1 unit judta hai: 1 1 1 1 1 2 2 3 3 3.
Doosri bet: 1 + 3 = 4. Yeh haarti hai: 1 1 1 1 1 2 3 4 4 4.
Teesri bet: 1 + 4 = 5. Yeh haarti hai: 1 1 1 1 1 3 4 5 5 5. Haare: 3 + 4 + 5 = 12, aur line ka jod 27 hai.
Usi shuruaat se standard Labouchère ki line 1 1 1 1 1 2 2 2 2 2 3 4 5 hoti, jiska jod bhi 27 hai, aur agli bet wahi 6. Line das numbers lambi rehti hai, jo tasalli deti lagti hai, lekin stakes waise hi badhte hain.
Aap Labouchère line 1 2 3 4 ke saath khelte hain. Ab tak aap 12 bets haare hain aur line abhi poori kati nahi hai. Kul kitni jeet chahiye? Agar aap 13 haare hote toh?
Solution dikhaiye
Jawab 12 haar ke saath 8 jeet, 13 ke saath 9. Dono haalaton mein line 10 units upar khatam hoti hai, jabki aapne aadhi se kam bets jeeti.
Line par numbers giniye. Shuru mein 4 hain. Har haar ek aur likhti hai; har jeet do kaatti hai, ya aakhri wala agar ek hi bacha ho. W jeet aur L haar ke baad 4 + L − 2W bachte hain, isliye line tab khatam hoti hai jab 2W kam se kam 4 + L ho jaaye.
12 haar: 2W ko 16 tak pahunchna hai, isliye 8 jeet, kul 20 bets. 13 haar: 2W ko 17 tak pahunchna hai, isliye 9 jeet, 22 bets.
Jeet aur haar ka order us point ko nahi badalta jahan line khatam hoti hai, aur poori hui line hamesha shuruaati line ka jod deti hai, yahan 10 units. Isiliye system tab bhi kaam karta lagta hai jab aap jeetne se zyada baar haarte hain. Order jo badalta hai woh hai raaste mein stakes ka size: haar ki lambi kataar unhe aapke bankrollpaisaBankrollKhelne ke liye alag rakhi gayi kul raqam. Bankroll management ka matlab hai tay karna ki har bet aur har session mein iska kitna hissa risk karna hai.Poora padhein → ya table limittableTable limitAllowed minimum aur maximum bet. Maximum hi doubling progressions ko rokta hai.Poora padhein → se aage dhakel sakti hai, jeet aane se pehle hi (Epstein, 2013).
Thodi hansi
Line zyadatar time clear ho jaati hai. Zyadatar ka matlab hamesha nahi.
Sources
- RouletteDoc. Strategy ka description aur examples.
- Roulette77. Strategy ka description aur examples.
- Roulette77. Reverse Labouchere ka description.
- Ethier, S. N. The Doctrine of Chances: Probabilistic Aspects of Gambling.
- Epstein, R. A. The Theory of Gambling and Statistical Logic, 2nd ed.
- Wykes, A. The Complete Illustrated Guide to Gambling.
- Leigh, N. Thirteen Against the Bank.
- Goldman, N. Great Gambling Scams.