Labouchère strategy fi roulette
Di Labouchère roulette strategy work fram a line a numba. Bet di two end add up. Cross dem off afta a win, add di bet weh lose afta a loss.

It nuh beat di wheel. Fi finish di line win im total. Di line grow inna losin stretch, an di stake dem grow wid it. Expected loss: 2.70% a evryting yuh bet.
Walk tru di system
Di stake a di fus numba plus di las one. A win cross off both. A loss write di stake at di end.
Stake an result deh inna unit a di base bet.
Ow di Labouchère roulette system work pon paper
Decide ow much yuh waan win, seh 10 unitmoney mattaUnitDi base stake weh a system or a playa work wid. Dem describe progression inna unit suh dem work at any table.Read di whole ting →, an write it as a line a numba weh add up to it: 1 2 3 4. Evry bet a di fus numba plus di las one: 1 + 4 = 5. Win, an cross off both end; di line now a 2 3. Lose, an write di stake pon di end: 1 2 3 4 5. Keep goin till di line empty, weh mean yuh win 10 unit, or till yuh cyaan afford di nex bet. It work like a to-do list weh evry job yuh done tek off two item, an evry job weh fail add a bigga one at di bottom.
Wah mek di line usually clear?
Evry win tek off two numba; evry loss add one. Di line shrink wenever win come more dan half as often as loss, an pon even money (48.6%) dem usually do. Most line clear. Dat a di sweetness an di trap: di session dem weh di line nuh clear a di one dem weh loss outnumba win two to one fi a while, an by den di numba dem pon di line, an di stake dem, done grow big.
- p10 −$500
- p25 −$500
- median −$500
- p75 −$500
- p90 +$1,570
Di Labouchère system work?
No. Most line clear, an di one dem weh nuh clear cost more dan wah di clear one dem win. Start fram 1 2 3 4, a run a eight loss gi yuh di line 1 2 3 4 5 6 7 8 9 10 11 12 an a nex bet a 13 unit, wid 68 unit done lose already. At $10 a unit dat a a $130 bet an $680 dung. Eight even-money loss inna a row have probabilitymathsProbabilityDi chance fi a result, fram 0 to 1 or 0% to 100%. One numba: 1/37 = 2.70%.Read di whole ting → (19/37)⁸ ≈ 0.5% fram any start point, an a 200-spin session have nuff start point. Not like Martingalestrategy demMartingaleProgression weh double di bet afta evry loss. Look inna di Strategy section fi see wah it do an wah it nuh do.Read di whole ting →, one single win nuh fix it; yuh need di line fi clear, an dat tek a few more win dan loss.
Ow much money a short line need behind it?
Di shortest common line, 1 2 3, win 6 unit. Wi simulate two million a dem line deh pon redbet demRedEven-money bet pon di 18 red numba. Inna French: rouge.Read di whole ting → pon a European wheel wid no table maximum an write dung di most money evry line eva need: di loss dem suh far plus di nex bet. Half a di line dem neva need more dan 9 unit. One outta ten need more dan 79 an one outta fifty more dan 490, an fi finish 99 line outta 100 a playa need bout 1,050 unit behind a 6-unit target. Even widout no zeropon di wheelZeroDi one green pocket weh no even-money, dozen or column bet nuh cover; a weh di house edge come fram. Nex name: single zero, 0.Read di whole ting →, inna a fair gamemathsFair gameA game weh nuh side nuh have no edge: evry bet have a expected value a zero.Read di whole ting →, it woulda tek bout 700. Wid less behind it, sometime di line lose, an one line weh lose cost more dan wah nuff finish line done win.
Odda version deh?
Reverse Labouchèrestrategy demLabouchèreCancellation system: write a line a numba, bet di sum a di two end, cross dem off afta a win, add di stake weh yuh lose afta a loss.Read di whole ting → add afta a win an cross off afta a loss, an dat turn it into a positive progressionstrategy demProgressionAny rule weh change di stake based pon di result dem weh pass. Negative progression raise it afta loss, positive progression afta win.Read di whole ting → wid a stop build in. Fi split a long line inna two shorta one (“1 2 3 4 5 6” into “1 2 3” an “4 5 6”) lower di stake dem an double di numba a line fi clear. Fi start wid one single numba a jus flat bettinstrategy demFlat bettinFi bet di same amount evry spin. Di baseline weh dem compare evry progression gainst.Read di whole ting → wid a target.
Di reverse Labouchère did beat di casino at Nice?
Inna di reverse version a win add di stake pon di end a di line an a loss cross off both end. A line weh empty out cost im total, 10 unit fi 1 2 3 4; a line weh keep winnin grow im bet dem till di nex one woulda pass di table maximum, an den di playa bank di profit an start again. It a di Labouchère turn inside out: nuff likkle losin line an a big win now an den. Norman Leigh book Thirteen Against the Bank (1976) tell ow im team did use it pon all six even chance at Nice inna 1966, an a lata retellin claim seh 96 outta 100 practice session did win (Goldman, 2007). Dat a backwards. Inna wi simulation most session lose an a few win big, an di higher di maximum, di more rare an di bigga di win dem. Di cost a di same 1.35% a turnovermoney mattaTurnoverAll di money yuh bet ova a session or a period, countin di winnins yuh bet again (all di money yuh bet, roun afta roun). Nex name: handle, action.Read di whole ting → wid la partagerule demLa partageFrench rule: wen zero hit, half a di even-money stake come back. It cut di house edge pon dem bet deh inna half, to 1.35%.Read di whole ting →, nuh care wah di maximum be.

A who Labouchère did be?
Henry Labouchère (1831–1912), journalist, theatre owna an Liberal MP, mek di system popular inna London society, an dem seh im did use it at Monte Carlo. Di cancellation method older dan im. Nobaddy neva show seh it change di expected lossmathsExpected lossExpected value times all di money yuh bet; di average amount yuh lose ova a session or a period (di loss yuh fi expec pon average).Read di whole ting →, weh a all di stake dem add up an divide by 37.
Di simulator · Labouchère
2,000 session a even-money bet, start fram a $1,000 bankroll.
Base bet $10 · table limit $500 · 100 spin evry session
Ow often a losin run come
A even-money bet pon a single-zero wheel lose 19 spin outta 37. Evry row a di chance seh a certain run a spin all lose, an wah a Labouchère playa, weh start wid di line 1 2 3 4 an write evry stake weh lose at di end, lose by den.
| loss inna a row | chance | bout 1 outta | lose so far | nex 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 |
Di chance a 19/37 multiply by itself one time fi evry loss, count fram one given spin. A long session have nuff spin weh dat kinda run can start, suh ova a evenin it far more likely dan one row show.
Question dem
Di stake dem grow slower, suh di cliff more rare an di climb longer. Expected loss fi evry unit yuh bet a di very same.
A short one wid likkle numba. It keep di stake dem dung an di time fi clear short; it nuh change di edge.
Yes. Yuh result a jus di runnin total at dat moment.
Fun wid maths
Try dem yuhself fus. Evry ansa fold up; open it wen yuh ready.
Start di standard Labouchèrestrategy demLabouchèreCancellation system: write a line a numba, bet di sum a di two end, cross dem off afta a win, add di stake weh yuh lose afta a loss.Read di whole ting → wid 1 2 3 4 5, a target a 15, an lose di fus four bet. Wah di line, ow much yuh dung, an wah di nex bet?
Show di ansa
Ansa Di line a 1 2 3 4 5 6 7 8 9, yuh dung 30 unitmoney mattaUnitDi base stake weh a system or a playa work wid. Dem describe progression inna unit suh dem work at any table.Read di whole ting →, an di nex bet a 10.
Di bet dem a 1 + 5 = 6, den 1 + 6 = 7, 1 + 7 = 8 an 1 + 8 = 9. Evry loss get write at di end a di line. Lose suh far: 6 + 7 + 8 + 9 = 30.
Di line now add up to 45: di target a 15 plus di 30 weh lose. Fi clear it still win exactly 15. Evry win cross off two numba, suh it tek at least five more win, startin wid a 10-unit bet, an evry loss pon di way mek di line longa again.
Bartschelly “Guaranteed Roulette System” start wid 1 1 1 1 1 2 2 2 2 2, a target a 15. Afta a loss it nuh write di amount weh lose at di end: it add it one unit at a time to di las numba dem pon di line. Lose tree bet. Wah di line, ow much yuh dung, an wah di nex bet?
Show di ansa
Ansa Di line a 1 1 1 1 1 3 4 5 5 5, yuh dung 12 unit, an di nex bet a 6, exactly like inna standard Labouchère.
Fus bet: 1 + 2 = 3. It lose, an 1 unit go pon each a di las tree numba: 1 1 1 1 1 2 2 3 3 3.
Second bet: 1 + 3 = 4. It lose: 1 1 1 1 1 2 3 4 4 4.
Third bet: 1 + 4 = 5. It lose: 1 1 1 1 1 3 4 5 5 5. Lose: 3 + 4 + 5 = 12, an di line add up to 27.
Standard Labouchère fram di same start woulda have di line 1 1 1 1 1 2 2 2 2 2 3 4 5, weh add up to 27 too, wid di same nex bet a 6. Di line stay ten numba long, weh look comfortin, but di stake dem climb jus di same.
Yuh play di Labouchère wid di line 1 2 3 4. Suh far yuh lose 12 bet an di line nuh cross out yet. Ow much win inna all it need? Wah if yuh did lose 13?
Show di ansa
Ansa 8 win wid 12 loss, 9 win wid 13. Either way di line end 10 unit up, even though yuh win less dan half a yuh bet dem.
Count di numba dem pon di line. It start wid 4. Evry loss write one more; evry win cross off two, or di las one if only one lef. Afta W win an L loss, 4 + L − 2W lef, suh di line gone as soon as 2W reach at least 4 + L.
12 loss: 2W haffi reach 16, suh 8 win, 20 bet inna all. 13 loss: 2W haffi reach 17, suh 9 win, 22 bet.
Di order a win an loss nuh change di point weh di line end, an a line weh finish always pay di sum a di startin line, yah suh 10 unit. Dat a why di system look like it work even wen yuh lose more often dan yuh win. Wah di order do change a di size a di stake dem pon di way: a long string a loss can push dem pass yuh bankrollmoney mattaBankrollAll di money yuh set aside fi play. Fi manage yuh bankroll mean yuh decide ow much a it yuh a go risk pon evry bet an evry session.Read di whole ting → or di table limitpon di tableTable limitDi minimum an maximum bet dem allow. Di maximum a weh stop progression weh double up.Read di whole ting → bifo di win dem come (Epstein, 2013).
Sumting fi laugh

Di line clear most a di time. Most a nuh all.
Source dem
- RouletteDoc. Strategy description and examples.
- Roulette77. Strategy description and examples.
- Roulette77. Reverse Labouchere 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.