📋 Strategy

Paroli — The Positive Progression That Plays for Streaks

Paroli doubles your bet after wins (not losses), locking in profit at 3 consecutive wins. Lower risk than Martingale, designed for hot streaks. Full guide + 50,000-roll simulation.

1.41%Base Edge

DoubleAfter Win

3-winCap

50kRolls Simulated

What Is the Paroli?

The Paroli system is the anti-Martingale — a positive progression that doubles after wins instead of losses. The goal: ride a three-win streak for a big payday while risking only your original unit if the streak breaks. It's one of the safest progression systems because your maximum loss on any three-bet sequence is always just one base unit.

📜 Casino LoreThe Paroli is one of the few betting systems with a genuinely old pedigree. The name appears in gambling texts as far back as the 17th century, derived from the Latin par (equal) — the idea of riding your winnings rather than chasing losses. It's the philosophical inverse of the Martingale: instead of doubling after losses, you double after wins and reset after three in a row (or a loss). Craps players adopted it enthusiastically because it fits the "hot shooter" mythology — when dice are running, press the bet; when they cool, you've risked nothing but one base unit. The three-win reset is crucial: without it, the system degenerates into riding a winning streak to ruin, which was the original pre-reset version's documented flaw.

How It Works

Classic Paroli on Pass Line:

Bet $10. Win → leave $20 riding (original + profit)
Win again → leave $40 riding
Win a third time → collect everything ($80 total, $70 profit). Reset to $10.
Any loss at any stage → return to $10

The three-win cap is crucial — collecting after three consecutive wins locks in a 7-unit profit before giving it back. Without the cap, you'd eventually lose a big accumulated bet.

A completed three-win Paroli on a $10 base produces $70 profit. A failed attempt at any stage costs at most $10 (your base unit).

50,000-Roll Simulation

Run the simulation below to see how the Paroli performs across 50,000 dice rolls. Every run uses a fresh random seed — notice how individual sessions vary due to variance, while the long-run trend converges toward the theoretical house edge of 1.41%.

🎲 Paroli (Pass Line) Simulator

$10 flat bet · Monte Carlo · 50,000 rolls per run

—Rolls

—Decisions

—Win Rate

—Final P&L

—Eff. Edge

—Max Drawdown

Profit

Loss

Expected

Prior runs

Hit Run Once to simulate 50,000 rolls of Paroli (Pass Line) betting.

Strategy & Tips

Paroli thrives on streaks. Craps shooters occasionally roll many consecutive passes — Paroli is designed to monetize those moments aggressively while capping downside.

The discipline is in the reset. After any loss or after completing a three-win sequence, always return to the base unit. Players who let winning bets ride indefinitely are playing a different (and riskier) game.

Note that Paroli doesn't change the expected value — the house edge on each Pass Line bet remains 1.41%. What it changes is variance: more frequent small losses (when streaks fail early), less frequent but much larger wins (when streaks complete).

How It Compares

Bet	House Edge	Payout	Notes
Paroli	1.41%	—	This page
Pass Line + Max Odds	0.37%	Varies	Lowest combined edge
Don't Pass + Lay Odds	0.27%	Varies	Lowest edge overall
Pass Line	1.41%	1:1	Best flat bet
Place 6 or 8	1.52%	7:6	Best place bet
Field Bet	2.78–5.56%	1:1/2:1	High action
Any 7	16.67%	4:1	Avoid

FAQ

Is Paroli safer than Martingale?

Yes — your maximum loss per sequence is always your base unit. Martingale sequences can escalate to hundreds of times your base unit.

What's the probability of a three-win Paroli completing?

On Pass Line (49.29% win rate): 0.4929³ ≈ 11.97%. About 1 in 8 sequences will complete a three-win run.

Should I cap at 3 wins or try for more?

Three wins is the classic cap. Going for 4 wins (0.4929⁴ ≈ 5.9%) or 5 (≈2.9%) is viable with smaller base units, but each additional win roughly halves your probability of completing.

Can Paroli be used with Odds bets?

Yes — run Paroli on the Pass Line flat bet and keep Free Odds at the same level. Or scale Odds with the progression for maximum potential on hot streaks.

🎲 Practice Paroli — Free

Loads with Paroli pre-configured. Ride the three-win streak on a live shared table. No signup.

▶ Practice Paroli → 📊 Backtest This Strategy

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