Walkthrough: Ek Labouchère Line
1-2-3-4 likhiye, dono kinaron ka bet lagaiye, jeet par unhe kaat dijiye, haar ko end mein jod dijiye. Cancellation system ek aisi line ke saath jo clear hoti hai aur ek aisi jo haath se nikal jaati hai.

$5 per unit par ek simulated Labouchère session, har line ka target $50. Pehli line 8 spin mein theek $50 par clear hui. Doosri 16 numbers ki line aur $200 ke stake tak pahunchi, phir table limittableTable limitAllowed minimum aur maximum bet. Maximum hi doubling progressions ko rokta hai.Poora padhein → ki wajah se use $400 neeche chhodna pada. Aam taur par chalta hai, aur phir nahi chalta.
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.
Plan
Ek card par 1 2 3 4 likhiye. Har spin par dono kinaron ke numbers ka jod redbetRed18 red numbers par even-money bet. French mein: rouge.Poora padhein → par lagaiye. Jeet par dono numbers kat jaate hain; haar par stake right-hand end mein jud jaata hai. Jab kuch nahi bachta, line clear ho jaati hai, aur net mein original total milta hai: 10 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 →, $50. Line clear hone ke liye har do haar par sirf ek jeet chahiye, kyunki har jeet do numbers hatati hai aur har haar ek jodti hai. Red 48.65% spins par jeetta hai, jo zaroori teen-mein-ek se zyada hai, isliye zyadatar lines clear ho jaati hain.
Line 1, spin 1–8
1 2 3 4 → stake 5 (1+4): L, line 1 2 3 4 5. Stake 6: W, line 2 3 4. Stake 6: L, line 2 3 4 6. Stake 8: W, line 3 4. Stake 7: L, line 3 4 7. Stake 10: W, line 4. Stake 4: L, line 4 4. Stake 8: W, clear. Aath spin, chaar jeet aur chaar haar. Net +$50, bilkul target, aur stake kabhi $50 se upar nahi gaya. Yeh ek chhoti machine ki tarah chalta hai.

Line 2, spin 9–39
Phir se 1 2 3 4. Pehle baarah spins mein gyarah haar. Har haar ek aisa number jodti hai jo do doosron ka jod hai, isliye line lambai aur size dono mein badhti hai: baarah spin ke baad woh thi 2 3 4 5 6 7 8 9 10 12 14 16 18 aur stake $100 tha. Spin 23 tak usme 16 numbers the aur cycle −$850 par tha. Jeet bade end numbers kaat deti hai, jo madad karta hai: agle pandrah spins mein nau jeet ne spin 38 tak line ko 12 14 16 18 aur cycle ko −$250 tak la diya, aur raaste mein stake $200 limit ko chhoo gaya. Phir 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 →: $150 ka stake gaya, line ho gayi 12 14 16 18 30, aur agla stake, $210, limit se upar tha. Cycle −$400 par tha. Humne rok diya. Line aakhirkaar +$50 par clear ho jaati, agar woh “aakhirkaar” limit aur 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 → ke khatam hone se pehle aata.
- p10 −$500
- p25 −$500
- median −$500
- p75 −$500
- p90 +$1,360
Hisaab
39 spin mein kul $3,770 lagaya, jabki flat mein $195. $3,770 par expected lossganitExpected lossExpected value guna kul lagayi gayi raqam; ek session ya ek muddat mein ausat nuksaan.Poora padhein → $102 hai; asal −$350, ek standard deviationganitStandard deviationVariance ka square root; expected value se kisi result ki aam doori.Poora padhein → ka lagbhag ek-tihaai neeche, kyunki in stakes par ek standard deviation lagbhag $700 hai. Bhaagti hui 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 → line kisi bhi common system ka sabse bhaari turnoverpaisaTurnoverSession ya muddat mein lagayi gayi kul raqam, dobara lagayi gayi jeet milakar. Doosre naam: handle, action.Poora padhein → hai, kyunki har haar stake ko haar ki raqam jitna badha deti hai aur line ki koi seema nahi, siwaay table ki.
Session kya dikhata hai
Labouchère ki ek anokhi baat yeh hai ki yeh aam taur par chal jaata hai, isi liye Victorian dinners mein yeh charche ka vishay tha aur isi liye aaj bhi bikta hai. Clear hone wali lines chhoti aur baar-baar hoti hain; bhaagne wali line badi aur kabhi-kabhaar hoti hai, aur uske size ki koi hadd nahi. Expected loss per dollar dono hisson mein −2.70% hai, aur system ka ek hi asar hai: yeh tay karna ki kisi raat aap kaunse hisse mein hain.
Sawaal
Haan: 1 2 3 4 5 6 8 9 wali line ko same total wali do lines mein baanta ja sakta hai, jisse stake kam hota hai aur clear karne wali lines doguni ho jaati hain. Shape badalta hai, keemat nahi.
1 1 ki line $10 stake ke saath do-unit ka target hai; yeh jaldi clear hoti hai aur utni hi aasani se bhaag bhi jaati hai. Lambai sirf target tay karti hai.
Haan, darjan bhar naamon se. Henry Labouchère ne ise 1870s mein mashhoor kiya; isko unhone invent nahi kiya.
Thodi hansi

Aam taur par clear hoti hai. Exceptions ko zyada kaagaz chahiye.
Sources
- Ethier, S. N. The Doctrine of Chances: Probabilistic Aspects of Gambling.
- Schwartz, D. G. Roll the Bones: The History of Gambling.