Positive progression roulette guide
Reverse Martingale Roulette Strategy: How the Paroli System Works
Reverse Martingale is a positive progression: double the next even-money stake after a win, then return to the base stake after a loss. The capped 1-2-4 version is commonly called the Paroli system. It changes stake size and short-term volatility, but it does not change the next spin’s odds or roulette’s house edge.
Reverse Martingale in One £5 Paroli Cycle
The standard Paroli example uses an even-money roulette bet such as red or black. Start with £5. If it wins, stake £10 on the next spin. If that wins, stake £20. A third win completes the 1-2-4 cycle at +£35, after which the stake returns to £5.
A full loss at any point ends the standard cycle at −£5. The amount placed on the table can still reach £20, because the earlier £5 and £10 winnings are being re-staked.
Swipe sideways to compare the four cycle endings.
| Result path | Stakes placed | Cycle result | European probability |
|---|---|---|---|
| Lose | £5 | −£5 | 51.35% |
| Win, lose | £5, then £10 | −£5 | 24.98% |
| Win, win, lose | £5, £10, then £20 | −£5 | 12.15% |
| Win, win, win | £5, £10, £20 | +£35 | 11.51% |
What the cycle does not show: it does not predict when three wins will occur. Each new spin remains independent, and the selected wheel keeps the same house edge.
Check Current Roulette Tables
Reverse Martingale needs an even-money table and a maximum stake that can accommodate the chosen ladder. Check the current lobby, limits and zero rules in your account before starting.
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Check which roulette formats are currently available and confirm the table minimum and maximum first.
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Browse the current roulette selection and work backwards from the displayed table limit before progressing.
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Reverse Martingale and Paroli: Same Idea, Different Scope
The names are often used interchangeably, but there is a useful distinction. Reverse Martingale describes the broad positive-progression idea: increase the next stake after a win and reset after a loss. Paroli normally describes the capped version that stops after a short run, most commonly three wins.
Reverse Martingale
A general staking pattern that increases exposure after wins rather than after losses. It can continue for a chosen number of steps, so the cap must be stated.
Paroli 1-2-4
A three-win version using one, two and four base units. After the third win, or after any full loss, the next cycle starts again at one unit.
RouletteUK uses Reverse Martingale for the broad system and Paroli for the capped 1-2-4 example. This keeps it distinct from the negative progressions covered in our wider guide to roulette betting systems.
How to Use the 1-2-4 Paroli Sequence
- Choose one even-money selectionUse red or black, odd or even, or 1-18 or 19-36. The classic calculations assume a 1:1 payout.
- Set one base unitThe base unit determines every later stake. With £5, the standard ladder is £5, £10 and £20.
- Double only after a winA £5 win moves the next stake to £10. A second consecutive win moves it to £20.
- Reset after a full lossDo not chase the loss. The next fresh cycle begins at the original £5 stake.
- Bank the cycle after the capAfter three consecutive wins, stop the progression and return to the base unit rather than continuing to £40.
- Check the table maximum firstUse the cap and base stake to calculate the largest possible wager before the first spin.
The three-win cap is traditional, not mathematically superior. A shorter cap clears more often for a smaller profit. A longer cap clears less often, reaches a larger stake and produces a larger successful-cycle profit.
Reverse Martingale Ladder Calculator
Enter a base stake, wheel and win cap. The calculator shows the complete stake sequence, maximum individual bet, successful-cycle profit, chance of clearing one fresh cycle and theoretical expected loss.
The expected figures are averages across repeated fresh cycles, not a forecast for the next session. The stage table also shows what a full loss or zero would do at each point in the ladder.
Swipe sideways to compare the ladder steps.
| Step | Stake | If this bet wins | If this bet loses | If zero lands |
|---|---|---|---|---|
| 1 | £5 | Next: £10 | Cycle: −£5 | Cycle: −£5 |
| 2 | £10 | Next: £20 | Cycle: −£5 | Cycle: −£5 |
| 3 | £20 | Cleared: +£35 | Cycle: −£5 | Cycle: −£5 |
European standard rules give an even-money bet 18 winning pockets and 19 losing pockets. Zero is a full loss and resets the cycle.
Expected figures are long-run averages across repeated fresh cycles. They do not predict the result of an individual session.
How the Win Cap Changes the Cycle
The cap changes the shape of the progression, not the value of the underlying roulette bet. The table below uses a one-unit base stake and a standard European even-money wager, where a fresh spin wins on 18 of 37 pockets.
Swipe sideways to compare the different win caps.
| Cap | Stake sequence | Maximum stake | Profit if cleared | Chance to clear |
|---|---|---|---|---|
| 2 wins | 1, 2 units | 2 units | +3 units | 23.67% |
| 3 wins | 1, 2, 4 units | 4 units | +7 units | 11.51% |
| 4 wins | 1, 2, 4, 8 units | 8 units | +15 units | 5.60% |
| 5 wins | 1, 2, 4, 8, 16 units | 16 units | +31 units | 2.72% |
Those percentages apply to one uninterrupted cycle starting now. They do not mean there is an 11.51% chance of seeing at least one three-win run somewhere in every session. That wider probability depends on the number of spins and how the cycles are counted.
Does Reverse Martingale Work?
It works as a clearly defined staking format. It can turn three consecutive £5-base wins into a £35 cycle profit, and it avoids doubling automatically after losses. It does not improve the expected return of red, black or another even-money selection.
On a standard European wheel, the three-step £5 cycle has two types of ending:
- Three wins complete the cycle at +£35, with an 11.51% probability.
- Any full-loss path completes the cycle at −£5, with a combined 88.49% probability.
The average turnover of that fresh cycle is about £14.60, and 2.70% of £14.60 is approximately £0.39. The same long-run disadvantage therefore reappears through the cycle calculation. See the full roulette odds and house-edge guide for the wheel-level maths.
A successful cycle can still occur on the first attempt, just as several failed cycles can occur in a row. RTP and house edge describe long-run averages across many wagers, not what one short session must return.
Maximum Stake, Turnover and Net Cycle Loss Are Different
The common phrase “only one unit is at risk” needs qualification. Under standard 1:1 rules, a full loss at any stage leaves the completed cycle one base unit down. However, the stake physically placed on the final spin is four base units in a three-win cycle, and previously won money is still money being put back at risk.
Swipe sideways to compare the stake sizes.
| Base stake | 3-win maximum | 5-win maximum | 5-win profit if cleared |
|---|---|---|---|
| £1 | £4 | £16 | +£31 |
| £5 | £20 | £80 | +£155 |
| £25 | £100 | £400 | +£775 |
| £100 | £400 | £1,600 | +£3,100 |
This is why the table maximum should be checked before play, particularly on live dealer roulette, where minimum and maximum stakes vary by table. A cap that fits one table may not fit another.
Reverse Martingale Compared with Other Roulette Systems
Reverse Martingale is a positive progression because stake growth follows wins. Standard Martingale and D’Alembert are negative progressions because losses increase the next wager.
Swipe sideways to compare the staking rules.
| System | After a loss | After a win | Stake growth | Main pressure |
|---|---|---|---|---|
| Masse Égale | Stay at base | Stay at base | None | Total turnover |
| Reverse Martingale | Reset | Double to cap | Exponential after wins | Winnings re-staked |
| Martingale | Double | Reset | Exponential after losses | Bankroll and table limit |
| D’Alembert | Add one unit | Remove one unit | Linear after losses | Long losing runs |
| Contra D’Alembert | Remove one unit | Add one unit | Linear after wins | Profit re-staked |
None of these systems changes the probability of the next result. The practical difference is how quickly the stake moves, what causes it to move and where the largest exposure appears.
What Happens When Zero Lands?
The answer depends on the wheel and table rule. Do not advance the progression simply because zero is neither red nor black. Under standard rules, it is a losing result for all three even-money pairs.
Swipe sideways to compare the zero rules.
| Wheel or rule | Zero result | Progression action | Even-money edge |
|---|---|---|---|
| European standard | Full stake lost | Reset to base | 2.70% |
| French La Partage | Half the qualifying stake returned | Reset for a clear new cycle | 1.35% |
| French En Prison | Stake remains unresolved | Wait for the table rule to resolve it | Normally 1.35% |
| American 0 or 00 | Full stake lost | Reset to base | 5.26% |
La Partage changes the net result of a zero at later stages. In a £5, £10, £20 sequence, for example, a zero on the £10 step returns £5 of that stake. Combined with the earlier £5 win, the cycle is level if you reset at that point. The calculator displays the stage-specific result.
With En Prison, the original bet is held for another spin under the table’s rules. Treat it as unresolved rather than moving forward to the next stake. Check how repeat zero and release outcomes are handled on the actual table.
Can Paroli Be Used on Inside Bets?
A player can increase any stake after a win, but the classic 1-2-4 Paroli maths assumes a 1:1 payout. A straight-up number pays 35:1, a split pays 17:1 and other inside bets use different returns and hit probabilities. Copying the same doubling table onto those wagers no longer produces the same “one base-unit loss or seven-unit win” cycle.
For that reason, this guide and calculator are limited to even-money bets. Use the roulette wheel and table layout guide to check how many pockets each alternative bet covers before attempting a different progression.
Practical Strengths and Limitations
What the system does clearly
- Keeps the base stake unchanged after a loss.
- Defines the maximum stake when a cap is chosen.
- Produces a simple 1-2-4 sequence on even-money bets.
- Limits a standard full-loss cycle to one base unit.
- Requires less loss-driven stake escalation than Martingale.
What it does not solve
- It does not make consecutive wins more likely.
- It does not remove zero or the house edge.
- Earlier winnings are still exposed on later steps.
- Several failed cycles can occur before one clears.
- A larger cap can reach a high table stake quickly.
How We Checked the Calculations
This guide models one even-money wager per step. Standard European calculations use 18 winning pockets and 19 losing pockets from 37 total. American calculations use 18 winning and 20 losing pockets from 38 total. La Partage returns half of a qualifying even-money stake when zero lands.
Cycle-clear probability is calculated as the chance of an even-money win raised to the selected cap. Expected turnover includes later stakes only when the preceding steps have won. Theoretical expected loss is expected turnover multiplied by the applicable house edge.
The calculator does not simulate En Prison, partial staking, changing selection mid-cycle, multiple simultaneous bets, inside-bet payouts or casino-specific bonus rules. The UK Gambling Commission explains that RTP is an average measured over a significant number of plays rather than a return promised on each play. Read the UKGC RTP guide.
Calculation review: Mark Taylor, RouletteUK Editor-in-Chief. Last checked 24 August 2026.
Reverse Martingale FAQs
What is the Reverse Martingale roulette strategy?
It is a positive progression that increases the next stake after a win and returns to the base stake after a loss. The common capped form uses a 1-2-4 sequence and resets after three consecutive wins.
Is Reverse Martingale the same as Paroli?
The names are often used as synonyms. More precisely, Reverse Martingale is the wider win-progression idea, while Paroli commonly means the capped three-win version.
How much is lost if the second or third bet loses?
Under a standard 1:1 doubling sequence, a full loss at any stage leaves the completed cycle one base unit down. With a £5 base, win £5 then lose £10 equals −£5; win £5 and £10 then lose £20 also equals −£5.
What is the chance of completing three consecutive wins?
On a standard European even-money bet it is (18/37)³, approximately 11.51%, for one fresh three-step cycle. On an American wheel it is (18/38)³, approximately 10.63%.
Is the three-win Paroli cap mathematically optimal?
No. It is a traditional stopping point. Shorter caps complete more often for a smaller profit; longer caps complete less often, reach larger stakes and pay more when cleared. None changes the house edge.
Does Reverse Martingale beat the roulette house edge?
No. It rearranges stake exposure across wins and losses. European, French and American wheel rules still determine the expected return of the underlying wager.
What happens when zero lands?
On a standard European table, zero is a full loss and the sequence resets. La Partage returns half of a qualifying even-money stake. En Prison holds the wager for resolution under the table’s stated rules.
Can Reverse Martingale hit a table limit?
Yes. The maximum stake is the base stake multiplied by two for every completed win before the cap. A £100 base reaches £400 on the third step and £1,600 on the fifth, so the table limit must be checked first.
Keep the Progression Inside a Fixed Spending Limit
A staking ladder does not make roulette predictable or recover previous losses. Use a spending limit that is affordable before play and do not increase it to continue a sequence. Take a break if the progression is becoming difficult to stop or follow calmly.
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