Betting Strategies for Roulette · Positive progression · 8 min

Paroli Strategy for Roulette (Reverse Martingale)

Di Paroli roulette strategy dey double afta win and e dey start again afta loss or afta three wins wey follow each oda.

Short answer

E no dey beat di wheel; e only dey change how di losses dey come. Paroli dey risk one base bet of your own moni for each cycle and e dey press di winnings for di rest. Di 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 → no change.

di target
3 wins · 7 units
p(3 wins)
11.5%
edge
2.70%
di most wey you fit lose
1 unit of your own moni

Waka through di system

Win dey move one step forward. Loss, or di third win, dey go back to di start.

124Win
di next stake1di result till now0spins0

Stakes and results dey in units of di base bet.

How di Paroli roulette system dey work?

Bet one unitmoniUnitDi 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 →. If you win, leave everytin for di table: di next bet na two. If you win again, e go be four. If you win di third time, collect seven units of profit and go back to one. If you lose at any point, you go back to one too. Na di whole system be dat. Afta di first win, na winnings you dey bet, so di most wey your own 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 → fit lose for any cycle na one unit. Three even-money wins wey follow each oda dey happen with probabilitymathsProbabilityDi chance of one outcome, from 0 to 1 or from 0% to 100%. One number: 1/37 = 2.70%.Read di whole tin → (18/37)³ = 11.5%, about one cycle in nine.

stepstake (units)your own moni wey dey risknet if dis bet losenet if dis bet win
111−1+1, go step 2
221−1+3, go step 3
341−1+7, di cycle don complete
probability to reachstep 2: 48.6% · step 3: 23.7% · complete: 11.5%
Whatever happen, one cycle no fit cost pass one unit of your own moni. Most cycles dey cost exactly dat one.

How session dey look?

Slow leak wey get jump once in a while. Think am like sey you dey buy di same small ticket again and again: each one cost one unit, most of dem na blank, and about one in nine dey pay seven. Di probability to finish 100-spin session with profit low (about 30%) becos most sessions no get enough cycles wey complete to cover di one-unit losses wey dey come steady; when session finish with profit, e dey usually finish with big profit.

Ten sessions of Paroli, $10 baseresult vs where you start
+$790$0−$500+$340−$2500125250375500spinsresult
1,000 sessions × 500 spins · violet p10/p25/p75/p90, light blue median, 82 faint samples · move mouse on top di chart to see quantiles for one spin
  • p10 −$500
  • p25 −$500
  • median −$300
  • p75 +$30
  • p90 +$320
1,000 sessions × 500 spins · we cut di y-axis for 1st–99th percentile (di extremes na −$500 to +$1,150) · 500 spins · $10 base · even-money bet
Staircase wey dey go down, with step up once in a while. No cliffs.
Like small ticket wey you buy again and again: most of dem na blank, and about one in nine dey pay seven.

Di Paroli system dey work?

No. E dey change di shape of di losses, no be dia size. Make p = 18/37. Win 7 with probability p³ = 0.115; lose 1 with probability 1 − p³ = 0.885. Expected result for each cycle: 7(0.115) − 1(0.885) = 0.805 − 0.885 = −0.08 units. Expected units wey you bet for each cycle: 1 + 2p + 4p² = 1 + 0.973 + 0.947 = 2.92. Divide: −0.08 / 2.92 = −2.7%. Every system dey give dis number when you do di division.

Di idea wey dey tempt pipo na sey di chipsmoniChipToken wey stand for one fixed amount, wey you put on top di layout to make bet. Dem also dey call am: check.Read di whole tin → wey you press na di moni of di casino, so to stake dem no cost anytin. Dem be your own from di moment dem pay you, and each one wey you put back for di table carry di same 2.70%.

Wetin if you wait for four wins wey follow each oda?

ParolistrategyParoliPositive progression: double afta you win, start again afta you lose or afta three wins one afta di oda. Dem also dey call am: reverse Martingale.Read di whole tin → wey go reach four wins dey turn one unit into 16, profit of 15, with probability (18/37)⁴ = 5.6%. Taylor (2021) ask sharper question: with bankroll of few units, wetin be di chance to land one streak like dat before di bankroll finish? Each cycle wey fail cost exactly one unit, so with 15 units di answer na 1 − (1 − 0.056)¹⁵ = 58%, better pass di 48.6% of to put all 15 on redbetRedEven-money bet on di 18 red numbers. For French: rouge.Read di whole tin → at once. Di catch dey show for di oda figures. Di streak dey usually come afta plenty cycles wey fail, so di gain when e come dey average 9 units, no be 15, and becos di progressionstrategyProgressionAny rule wey dey change di stake based on di results wey don pass. Negative progressions dey raise am afta losses, positive ones afta wins.Read di whole tin → dey stake more for total, im average result worse pass di one of di single bet.

bankroll, unitschance of four-win streak before e finishaverage net result when e comeaverage result
315.9%+14.0−0.29
836.9%+11.8−0.68
1557.9%+9.1−1.07
3082.3%+4.6−1.52
Red for single-zero wheel, one-unit base, you stop for di first four-win streak or when di bankroll finish. To compare: one 15-unit bet on red dey win 15 with probability 48.6%, and im average result na −0.41 units.

E matter where you stop?

Only for di shape. Paroli reach two wins (collect 3) or four wins (collect 15) dey change how often e hit and di prize, no be di edge. “Parlay” on straight-up bet (make 35 to 1 win ride) na di same idea with p = 1/37 and payoutmoniPayoutWetin bet wey win dey return, wey dem dey quote as “X to 1” on top di stake wey dem return.Read di whole tin → of 1,295 to 1 for two hits wey follow each oda, and na why e be mostly story, no be wetin pipo dey do.

Who dey choose am, and why?

Players wey want maximum loss wey small and clear for each cycle and wey dey happy to lose slowly for di chance of big win. E be like di mirror of MartingalestrategyMartingaleProgression wey dey double di bet afta every loss. Check di Strategy section to see wetin e dey do and wetin e no dey do.Read di whole tin → for di mind: Martingale dey make you feel like winner until di night wey you no be; Paroli dey make you feel like loser until di night wey you no be. Di house dey take 2.70% of 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 → any way wey e be.

Simulator · Paroli

2,000 sessions of even-money bets from $1,000 bankroll.

Base bet $10 · table limit $500 · 100 spins for each session

How di session results spreadloss ← | → profit
−$620$0+$770
put mouse on top bar · red bars na sessions wey lose, green na di ones wey win, di pale bar dey cross $0
sessions wey get profit
36.8%
di median result
−$60
di mean result
−$54.99
lose everytin
0.0%
5th percentile
−$370
median of di biggest drop
−$230

Questions wey pipo dey ask

Paroli, di reverse Martingale roulette strategy, safe pass Martingale?

E safe pass if you mean sey e no fit bring one single loss wey go scatter you. E no cheap pass: di expected loss for each unit wey you bet na di same.

Make I stop for three wins?

Any point wey you stop dey work di same for maths. Three na wetin pipo dey use becos di prize (7 units) feel like sey e worth di wait and how often e dey hit (11.5%) no hopeless.

Small laugh

To press winnings still na betting.

To press winnings still na betting.

Sources

  1. RouletteDoc. Short look at all di roulette strategies. https://roulettedoc.com/strategy
  2. Roulette77. How di strategy dey work, with examples. https://roulette77.us/strategies/reverse-martingale
  3. Ethier, S. N. The Doctrine of Chances: Probabilistic Aspects of Gambling. Springer, 2010. Chapter 13, wey tok about roulette.
  4. Epstein, R. A. The Theory of Gambling and Statistical Logic, 2nd ed. Academic Press, 2013.
  5. Taylor, D. G. Games, Gambling, and Probability: An Introduction to Mathematics, 2nd ed. CRC Press, 2021.
we check am 2026-09-28model: European wheel, single zerohow we work am ↗where we get am ↗