Labouchère
Bookkeeping can organise a target; it cannot guarantee that target.
What it describes
Labouchère is a cancellation-system family, sometimes called the split Martingale. A sequence of recorded values represents a target and changes as outcomes arrive. Its notation can make a session feel like a finite task that merely needs completing.
Formula & principle
Stake = first + last value in the list
This demo starts with $2, $4, $6, $8, making the initial stake $10. Append a lost stake; remove both ends after a win. Use the sole value if only one remains.
B(n) is one stake. On the left, the counter sums all losing stakes with a minus sign and freezes after round 25. On the right, all 25 results are watched without a stake. One $10 stake is then placed for round 26. Its payout follows the selected target: for an even-money bet, $20 returned means $10 stake plus $10 profit. Other targets use their own payout rules.
Same pattern. Different starting points.
A deliberately constructed series: 25 × No Black, then a matching result at 26. The end is known in this demo only.
Two different snapshots: the left freezes accumulated losses after 25 stakes, before the break. The right skips all 25 rounds, places one $10 stake before round 26, and shows its winning payout, including the returned stake. Net profit is shown separately. This is a selected winning example with a predetermined break, not an equal-length profit comparison.
Without Winnary
Starts at round 1
Waiting for this track
With Winnary
Starts at round 26
Waiting for this track
Model: List $2–$4–$6–$8: stake the two ends; append the lost stake. Initial stake $10. The left follows the strategy throughout the losing series. “With Winnary” shows only one initial $10 stake after 25 observed results; there is no earlier loss or stake progression in that column. It is not a measured product result. The Legendary label is illustrative, not a calculated rarity.
Fewer stakes mean less accumulated exposure in this selected sequence. A stake placed after round 25 has no better next-spin odds, and the pattern could continue beyond 26. This model assumes unlimited funds and no table limits. The break is observed after settlement; it cannot cancel a stake already placed. Winnary cannot enforce a loss limit at an external table. Every losing stake is added to the running loss. In the single-stake example, payout includes the returned stake; net profit subtracts that stake. Coverage payouts also account for losing parts of a split allocation. If the round-1 track continued through the same break at round 26, its net would be -$790; that final stake would be $60. The later start does not improve next-spin odds.
Demo ready. Both examples use the same predetermined results.
What the mathematics says
A written target is not a probabilistic guarantee. Paths that take longer or require more exposure must remain in the analysis. Reporting only completed sequences selects for success and can give a distorted impression of the system.
How to read the evidence
For an honest study, define what happens to incomplete sequences at the end of a test. Count their full outstanding loss and show the frequency of reaching limits. The recordkeeping rule and the wheel mechanism are separate objects.
Labouchère: without and with Winnary
This compares the information available, not measured winnings or losses.
| Without Winnary | With Winnary |
|---|---|
| Finishing a written sequence may feel inevitable, while incomplete attempts are forgotten. | Inspect the observed pattern separately from the target written into a cancellation system. |
What does not change. Winnary does not track a personal cancellation ledger or guarantee that it will finish.
Roulette predictor claims: what evidence matters? ↗Where Winnary fits
Winnary is a roulette analyser that organises observations. Rarity labels and rankings are descriptive. They are not a prediction of the next spin, evidence of a profitable system or a recommendation to act.
Read about the analyser ↗