Roulette Simulator

Paroli Strategy Guide

The "positive progression" system that aims to capitalize on winning streaks.

What is the Paroli Strategy?

The Paroli system (also known as the "Reverse Martingale" or "Anti-Martingale") is a positive progression betting strategy. Instead of increasing bets after losses like the Martingale, you increase bets after wins. The goal is to capitalize on winning streaks while limiting losses during cold streaks.

Basic Paroli Rules:

  1. 1. Start with a base betting unit (e.g., $1)
  2. 2. Bet on even-money outcomes (Red/Black, Even/Odd, High/Low)
  3. 3. After a win, double your bet for the next round
  4. 4. After a loss, return to your base bet
  5. 5. Set a win limit (typically 3-4 consecutive wins)
  6. 6. Return to base bet after reaching win limit

Paroli in Action: Example Sequences

🎯 Successful Sequence (3-win limit)

SpinBetOutcomeWin/LossTotalNext Bet
1$1Win+$1+$1$2
2$2Win+$2+$3$4
3$4Win+$4+$7$1 (Reset)

Result: +$7 profit from 3-win streak

💥 Failed Sequence

SpinBetOutcomeWin/LossTotalNext Bet
1$1Win+$1+$1$2
2$2Loss-$2-$1$1 (Reset)

Result: -$1 loss when streak breaks on second win

How the Paroli System Works

🎯 The Philosophy

Paroli is based on the idea of "letting it ride" with the casino's money during winning streaks, while keeping your own losses to a minimum during losing periods.

Key insight: You only risk larger amounts when you're already ahead, using winnings to fund bigger bets.

⚖️ Risk vs Reward

  • Max loss per attempt: One base unit
  • Profit on 3-win streak: 7 base units
  • Break-even point: 1 win for every 7 losses
  • Winning streaks: Exponential profit growth

This creates favorable risk-reward ratios compared to negative progression systems.

Win Limits and Paroli Variations

Win LimitBetting SequenceProfit on SuccessProbability
2 wins$1 → $2+$323.7%
3 wins$1 → $2 → $4+$711.5%
4 wins$1 → $2 → $4 → $8+$155.6%

🔄 Modified Paroli

  • Pyramid Paroli: Increase by smaller amounts
  • 1-3-2-6 System: Fixed progression sequence
  • Conservative Paroli: 2-win limit for higher success rate
  • Aggressive Paroli: 4+ win limits for bigger profits

📊 Choosing Win Limits

  • 2 wins: Conservative, frequent success
  • 3 wins: Balanced risk-reward (most popular)
  • 4+ wins: High risk, high reward
  • No limit: Let it ride until first loss (very risky)

✅ Pros of Paroli

  • Limits losses effectively

    Maximum loss per sequence is one base unit

  • Capitalizes on winning streaks

    Exponential profit growth during hot runs

  • Simple to implement

    Clear rules with easy doubling progression

  • Psychologically appealing

    Big bets only with "house money"

❌ Cons of Paroli

  • Winning streaks are rare

    3-win streaks occur only ~11.5% of the time

  • Gives back profits quickly

    One loss wipes out the entire sequence

  • Still doesn't beat house edge

    Long-term expectation remains negative

  • Requires discipline

    Must stick to win limits even when streaking

Paroli vs Other Progression Systems

FactorParoliMartingaleD'Alembert
Progression TypePositiveNegativeNegative
Maximum Loss RiskLow (1 unit)Very HighMedium
Profit PotentialHigh (streaks)SmallSmall
Success FrequencyLow (~11%)HighVariable
Bankroll ProtectionExcellentPoorFair

🧮 Mathematical Reality

Streak Probability Reality

On European roulette, the chance of winning 3 even-money bets in a row is only about 11.5%. This means 88.5% of your Paroli attempts will fail, losing your base unit each time.

Break-Even Analysis

For 3-win Paroli to break even, you need approximately 1 success for every 7 attempts. In reality, you'll get about 1 success for every 8.7 attempts, creating a negative expectation.

Why It Feels Good

Paroli is psychologically appealing because losses are small and wins can be spectacular. However, the infrequency of winning streaks means you'll typically lose steadily over time.

Paroli Monte Carlo Simulation

Paroli Strategy:

Double your bet after each win for 3 consecutive wins, then reset to base bet. This positive progression system aims to capitalize on winning streaks.

Cycle: Win 1: $5Win 2: $10Win 3: $20

Roulette Type

Best Practices for Paroli

📋 Implementation Tips

  • • Start with 3-win limit for balanced risk-reward
  • • Set session bankroll limits (e.g., 20-30 base units)
  • • Take profits after successful sequences
  • • Don't chase losses with multiple attempts
  • • Track success rate to verify expectations

🎯 Realistic Expectations

  • • Expect mostly small losses with occasional big wins
  • • 3-win streaks occur roughly 1 in 9 attempts
  • • Overall expectation is still negative
  • • Better for short-term entertainment than profit
  • • Requires discipline to stick to win limits

💡 Final Verdict on Paroli

Paroli offers better risk management than negative progression systems because it limits losses while allowing for significant wins during rare hot streaks. While it doesn't overcome the house edge, it provides better bankroll protection than systems like Martingale or Fibonacci.

✅ Consider Paroli if:

  • • You want to try a progression system safely
  • • You enjoy the excitement of potential big wins
  • • You have discipline to stick to win limits
  • • You understand losses are still expected

❌ Avoid Paroli if:

  • • You expect consistent profits
  • • You get frustrated by frequent small losses
  • • You lack discipline for win limits
  • • You want steady, predictable results

Test Paroli Strategy

Experience the thrill of positive progression and see how Paroli compares to other betting systems.

🎲 Test Paroli Strategy