Step by Step: One Labouchère Line
Write 1-2-3-4, bet di two ends, cancel dem when you win, add di loss to di end. Di cancellation system through one line wey clear and one wey run comot.

One Labouchère session wey we simulate, $5 for one unit, target $50 for every line. Di first line clear for 8 spins for exactly $50. Di second one grow reach line of 16 numbers and $200 stake before di table limittableTable limitDi minimum and maximum bet wey dem allow. Na di maximum dey stop progressions wey dey double.Read di whole tin → force us to abandon am, $400 down. E dey usually work, and then e no go work.
Waka through di system
Di stake na di first number plus di last one. Win dey cancel both. Loss dey write di stake for di end.
Stakes and results dey in units of di base bet.
Di Plan
Write 1 2 3 4 for one card. For every spin, stake di sum of di two numbers for di ends, on redbetRedEven-money bet on di 18 red numbers. For French: rouge.Read di whole tin →. If you win, cancel di two numbers; if you lose, add di stake to di right-hand end. Di line don clear when notin remain, and e go bring di original total, 10 unitsmoniUnitDi base stake wey system or player dey work with. Dem dey describe progressions in units so dat dem go fit work for any table.Read di whole tin →, $50. One line need only one win for every two losses to clear, becos every win dey remove two numbers and every loss dey add one. Red dey win 48.65% of spins, and dat one pass di one-in-three wey e need, so most lines dey clear.
Line 1, Spins 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, e clear. Eight spins, four wins and four losses. Net +$50, exactly di target, and di stake never pass $50. E dey work like small machine.

Line 2, Spins 9–39
1 2 3 4 again. Eleven losses for di first twelve spins. Every loss dey add one number wey be di sum of two oda ones, so di line dey grow both for length and for size: afta twelve spins e read 2 3 4 5 6 7 8 9 10 12 14 16 18 and di stake na $100. By spin 23 e get 16 numbers and di cycle don reach −$850. Wins dey cancel di big numbers for di end, and dat one dey help: nine wins for di next fifteen spins cut di line to 12 14 16 18 and di cycle to −$250 by spin 38, and di stake touch di $200 limit for di way. Then zerowheelZeroDi one green pocket wey no even-money, dozen or column bet dey cover; na im be di source of di house edge. Dem also dey call am: single zero, 0.Read di whole tin → come: di $150 stake lose, di line read 12 14 16 18 30, and di next stake, $210, pass di limit. Di cycle don reach −$400. We stop. Di line for clear for +$50 at last, if dat “at last” reach before di limit, and di bankrollmoniBankrollDi total moni wey you set aside for play. Bankroll management na to decide how much of am you go risk for each bet and for each session.Read di whole tin → no finish first.
- p10 −$500
- p25 −$500
- median −$500
- p75 −$500
- p90 +$1,360
Di Accounts
Di total wey we bet na $3,770 for 39 spins, compared to $195 for flat betting. Expected lossmathsExpected lossExpected value times di total moni wey you bet; di average amount wey you go lose for one session or one period.Read di whole tin → on $3,770 na $102; wetin happen na −$350, about one third of standard deviationmathsStandard deviationSquare root of variance; di normal distance between one result and di expected value.Read di whole tin → below, becos for dis kind stakes one standard deviation na about $700. LabouchèrestrategyLabouchèreCancellation system: write one line of numbers, bet di total of di two ends, cancel dem afta you win, add di stake wey you lose afta you lose.Read di whole tin → line wey run comot get di heaviest turnovermoniTurnoverDi total moni wey you bet for one session or one period, including winnings wey you bet again. Dem also dey call am: handle, action.Read di whole tin → of all di common systems, becos every loss dey raise di stake by di amount of di loss and di line no get ceiling except di one of di table.
Wetin Di Session Show
Labouchère get one rare tin: e dey usually work. Na why e be tin wey pipo dey discuss for Victorian dinners and why e still dey sell. Di lines wey clear dey small and dem dey come often; di line wey run comot big and e rare, and im size no get end. Di expected loss for every dollar na −2.70% for both halves, and di only tin wey di system dey do na to decide which half you go dey for one night.
Questions wey pipo dey ask
Yes: line of 1 2 3 4 5 6 8 9 fit divide into two lines wey get di same total, and dat one go reduce di stake and double di number of lines wey you go clear. E dey change di shape, no be di price.
Line of 1 1 na target of two units with $10 stake; e dey clear quick and e fit run comot just as quick. Di length only dey set di target.
Yes, under plenty different names. Henry Labouchère make am popular for di 1870s; no be im invent am.
Small laugh

E dey usually clear. Di exceptions need more paper.
Sources
- Ethier, S. N. The Doctrine of Chances: Probabilistic Aspects of Gambling.
- Schwartz, D. G. Roll the Bones: The History of Gambling.