Reverse Martingale / Paroli
A different exposure profile does not create information about the next spin.
What it describes
Reverse Martingale, often associated with the name Paroli, moves exposure in the opposite direction to loss-chasing progressions. It is commonly described around consecutive favourable outcomes. The defining feature is its response to the past, not a forecast of the future.
Formula & principle
Loss → $10; win → 2 × previous stake
Paroli variant: reset after a loss or three consecutive wins. Every miss in this demo resets the amount to $10.
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 Red, 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: Win progression: the initial unit repeats on this all-loss path. 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 -$240; that final stake would be $10. The later start does not improve next-spin odds.
Demo ready. Both examples use the same predetermined results.
What the mathematics says
Sequences of repeated outcomes are normal in independent data. Their existence does not show that a sequence will continue. A model can produce occasional large positive sessions while many smaller sessions offset them; the full distribution matters.
How to read the evidence
When comparing simulated systems, use the same outcome stream, the same accounting boundary and a stated termination rule. Changing the rule after seeing the result introduces hindsight. Winnary records patterns as observations and does not treat a run as evidence that a further repetition is due.
Reverse Martingale / Paroli: without and with Winnary
This compares the information available, not measured winnings or losses.
| Without Winnary | With Winnary |
|---|---|
| A winning run may be taken as evidence that momentum will continue. | Inspect a named pattern and its observed count instead of relying on a memorable run. |
What does not change. An observed sequence does not establish that the next outcome will extend it.
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 ↗