The 1-3-2-6 System in Baccarat: A Four-Step Positive Progression with Built-In Profit Protection
Four consecutive wins at the Banker bet happen roughly 6.6% of the time. That’s about once every 15 attempts. Most of those attempts cost you one base unit. But the one time all four wins land? You pocket 12 units. That risk-to-reward ratio is the entire logic behind the 1-3-2-6 system in baccarat. It’s a positive progression, meaning you only increase bets after wins, never after losses.
The sequence tells you exactly how many units to bet at each step: 1, then 3, then 2, then 6. Any loss at any point resets you to Step 1. The system is the Paroli’s more ambitious cousin. It shares the same philosophy (press your luck during wins, protect your bankroll during losses) but adds a fourth step and a clever middle dip at Step 3 that locks in guaranteed profit even if the final bet fails.
- The 1-3-2-6 follows a fixed four-step betting sequence (1 unit, 3 units, 2 units, 6 units) and resets to Step 1 after any loss or after completing all four steps
- A completed four-win cycle nets 12 units of profit; even failing at Step 4 (three wins, one loss) still leaves you 2 units ahead
- Maximum risk per cycle is just 2 units, which occurs only when you lose at Step 2 (you bet 3 after winning 1, netting -2)
- The probability of completing all four steps on Banker is roughly 6.6% per attempt, or about once every 15 cycles
- The Step 3 dip from 3 units down to 2 units is the system’s built-in safety valve; it guarantees profit after three wins regardless of what happens on Step 4
- Like all betting systems, the 1-3-2-6 doesn’t change the house edge (1.06% on Banker, 1.24% on Player); it reshapes your session into many small losses with occasional large payoffs
How the 1-3-2-6 System Works: Step by Step
The name is the system. The numbers 1, 3, 2, 6 tell you how many units to bet at each step of a winning streak. Here’s the complete process.
Step 1: Bet 1 unit. If you lose, stay at Step 1. If you win, move to Step 2.
Step 2: Bet 3 units. If you lose, reset to Step 1. If you win, move to Step 3.
Step 3: Bet 2 units. If you lose, reset to Step 1. If you win, move to Step 4.
Step 4: Bet 6 units. Win or lose, reset to Step 1. The cycle is complete.
That’s everything. No sequences to track. No calculations at the table. You need to remember exactly one thing: which step you’re on.
Step 1: Bet $25. Win. Collect $23.75 (after 5% commission). Move to Step 2. Step 2: Bet $75. Win. Collect $71.25. Move to Step 3. Step 3: Bet $50. Win. Collect $47.50. Move to Step 4. Step 4: Bet $150. Win. Collect $142.50. Cycle complete. Reset.
Total wagered: $300. Total collected: $285. Net profit for the cycle: $285 minus your original $25 buy-in = roughly $260.
At a $25 unit, a completed cycle produces over $260 in profit. If you’d lost at any point during Steps 1 through 3, the maximum you could have lost is $50 (losing at Step 2). That’s the 1-3-2-6 in a nutshell.
If you’re still learning baccarat fundamentals, start with our how to play baccarat guide before applying any system.
The Outcome Table: What Happens at Every Possible Exit Point
This is where the 1-3-2-6 reveals its clever design. Let’s map every possible outcome for a cycle at a $10 base unit on Banker.
| Outcome | Probability | Bets Made | Net Result ($10 unit) | Why It Matters |
|---|---|---|---|---|
| Lose at Step 1 | ~49.3% | $10 | -$10 (1 unit) | Cheapest possible loss |
| Win 1, Lose at Step 2 | ~25.0% | $10 + $30 | -$20 (2 units) | Worst-case loss for the system |
| Win 2, Lose at Step 3 | ~12.6% | $10 + $30 + $20 | +$20 (2 units) | You’re profitable despite losing |
| Win 3, Lose at Step 4 | ~6.4% | $10 + $30 + $20 + $60 | +$20 (2 units) | Same profit as losing at Step 3 |
| Win all 4 steps | ~6.6% | $10 + $30 + $20 + $60 | +$120 (12 units) | Full cycle payoff |
Look at those numbers carefully. Steps 3 and 4 are where the system gets interesting. If you win three and lose the fourth, you still profit 2 units. That’s because Step 3 drops from 3 units back down to 2, banking some of the gains from Step 2. You’re playing with house money on Step 4, and even if you lose, you walk away ahead.
The worst case is losing at Step 2: you risked 3 units after winning 1, so you’re down 2 units total. Compare that to the Paroli, which risks 1 unit per failed cycle regardless of where it fails. The 1-3-2-6’s worst case is slightly more expensive, but the payoff for completing the cycle is significantly larger (12 units vs. 7 for the Paroli).
Why Step 3 Drops to 2 Units: The Safety Valve
This is the design choice that separates the 1-3-2-6 from a simple doubling system. After winning Steps 1 and 2, you’ve collected 4 units in profit (1 + 3 = 4 units bet, 2 + 6 = 8 units collected, net +4). If you bet 2 on Step 3 and lose, you’re still up +2. If you win Step 3, you’ve now banked 6 units of profit.
On Step 4, you bet 6 of those 6 units. If you lose, you give back 6 but you’ve already locked in 6 from prior steps, leaving you at +2 (after adjusting for the Step 1 bet). If you win, you collect another 6, for a total of +12.
The Step 3 dip creates a guaranteed profit zone. Once you’ve won Steps 1 and 2, you cannot lose money on the current cycle. No matter what happens on Steps 3 and 4, you’re walking away with at least +2 units. That guarantee doesn’t exist in the Martingale, the Fibonacci, or even the Paroli.
A Complete 20-Hand Session Walkthrough
Base unit: $10 on Banker. Let’s track a realistic session with a plausible mix of wins and losses.
| Hand | Step | Bet | Result | P/L | Running Total |
|---|---|---|---|---|---|
| 1 | 1 | $10 | Lose | -$10 | -$10 |
| 2 | 1 | $10 | Win | +$9.50 | -$0.50 |
| 3 | 2 | $30 | Lose | -$30 | -$30.50 |
| 4 | 1 | $10 | Lose | -$10 | -$40.50 |
| 5 | 1 | $10 | Win | +$9.50 | -$31.00 |
| 6 | 2 | $30 | Win | +$28.50 | -$2.50 |
| 7 | 3 | $20 | Lose | -$20 | -$22.50 |
| 8 | 1 | $10 | Win | +$9.50 | -$13.00 |
| 9 | 2 | $30 | Win | +$28.50 | +$15.50 |
| 10 | 3 | $20 | Win | +$19 | +$34.50 |
| 11 | 4 | $60 | Lose | -$60 | -$25.50 |
| 12 | 1 | $10 | Lose | -$10 | -$35.50 |
| 13 | 1 | $10 | Win | +$9.50 | -$26.00 |
| 14 | 2 | $30 | Win | +$28.50 | +$2.50 |
| 15 | 3 | $20 | Win | +$19 | +$21.50 |
| 16 | 4 | $60 | Win | +$57 | +$78.50 |
| 17 | 1 | $10 | Win | +$9.50 | +$88.00 |
| 18 | 2 | $30 | Lose | -$30 | +$58.00 |
| 19 | 1 | $10 | Lose | -$10 | +$48.00 |
| 20 | 1 | $10 | Win | +$9.50 | +$57.50 |
Result: 11 wins, 9 losses. One completed four-step cycle (hands 13-16). Two partial cycles that reached Step 3 without completing (hands 5-7 and 8-11). Net profit: +$57.50.
Notice Hand 11: you lose $60 at Step 4 and it stings psychologically, but the cycle from hands 8-11 still netted +$17 total. That’s the safety valve at work. The one completed cycle (hands 13-16) produced the bulk of the session profit. Everything else was noise.
The 1-3-2-6 vs. Other Positive Progressions
The 1-3-2-6 belongs to the positive progression family alongside the Paroli and the 1-3-2-4. Let’s compare them directly.
| System | Steps | Bet Sequence | Max Risk | Completed Cycle Profit | Completion Rate (Banker) |
|---|---|---|---|---|---|
| Paroli | 3 | 1-2-4 | 1 unit | 7 units | ~13% |
| 1-3-2-4 | 4 | 1-3-2-4 | 2 units | 10 units | ~6.6% |
| 1-3-2-6 | 4 | 1-3-2-6 | 2 units | 12 units | ~6.6% |
The Paroli completes twice as often (three wins vs. four) but pays less per completion. The 1-3-2-4 is the conservative sibling of the 1-3-2-6: same structure, same steps, same maximum risk, but the final bet is 4 units instead of 6. That means a completed 1-3-2-4 cycle pays 10 units instead of 12, while the failed-at-Step-4 outcome is identical (+2 units either way).
The choice between 1-3-2-6 and 1-3-2-4 comes down to aggression. The 1-3-2-6 bets 50% more on Step 4 for 20% more profit. Both systems protect you identically on losses. If you want the biggest payoff for a completed cycle, go 1-3-2-6. If Step 4 at 6 units makes you uncomfortable, go 1-3-2-4.
For a full breakdown of every major strategy, our winning strategies for baccarat guide ranks them all side by side.
Pros and Cons of the 1-3-2-6 System
- Maximum risk per cycle is capped at 2 units (losing at Step 2), making it one of the safest systems in baccarat
- The Step 3 dip guarantees profit after winning the first two bets, regardless of what happens on Steps 3 and 4
- Completed cycles pay 12 units for a 2-unit maximum risk, a 6:1 reward-to-risk ratio
- Dead simple: memorize four numbers (1-3-2-6) and track which step you’re on; nothing else required
- Never increases bets during losing streaks; ten consecutive losses at Step 1 costs exactly ten base units
- Creates genuinely exciting moments on Steps 3 and 4 without the gut-wrenching anxiety of systems like the Martingale
- Requires four consecutive wins for full payoff, which only happens roughly 6.6% of the time on Banker
- The Step 2 loss scenario costs 2 units rather than 1, making it slightly more expensive per failed cycle than the Paroli
- Most sessions feel like a grind of small Step 1 losses with occasional bursts; patience is required
- Doesn’t change the house edge; long-term expected loss is identical to flat betting at the same average bet size
- The $60 Step 4 bet (at $10 unit) can feel disproportionate to the rest of the sequence, causing some players to abandon the system early
Common Mistakes That Wreck the 1-3-2-6
Many newbies make these mistakes when trying the 1-3-2-6 system:
Mistake 1: Continuing Past Step 4
Some players think, “I just won four in a row, why would I stop?” Because the math says so. Your fifth consecutive Banker win has a 50.68% chance, which sounds decent, but you’d be betting from a position where you’ve already locked in 12 units of profit. Risking all of that on a coin flip is exactly the kind of decision the 1-3-2-6 is designed to prevent. Reset. Bank the profit. Start fresh.
Mistake 2: Increasing the Base Unit After Losses
After five or six failed cycles (losing 5 to 12 units), it’s tempting to bump your base from $10 to $20. “I’ll recover twice as fast.” You’ll also lose twice as fast. The base unit should stay fixed for the entire session. The psychology of baccarat explains why loss aversion drives this behavior.
Mistake 3: Switching Bets Mid-Cycle
Betting Banker on Step 1, then Player on Step 2 because the scoreboard or the baccarat roads show a “pattern.” Baccarat hands are independent events. Previous results don’t affect future ones. Pick Banker or Player and commit for the entire session. The 1.06% Banker house edge is your best option.
Mistake 4: Mixing in Side Bets or Tie Wagers
The Tie bet carries a 14.36% house edge. Side bets carry even higher edges in most cases. Inserting these into a 1-3-2-6 cycle introduces massive variance that the system can’t absorb. Keep it clean.
How to Set Up Your 1-3-2-6 Session
These are the key things to consider before you run your baccarat session:
Bankroll Sizing
Your maximum risk per cycle is 2 units (losing at Step 2). But you need runway for multiple failed cycles before landing a completed one. At a roughly 6.6% completion rate, expect about 15 cycle attempts per completion. Fifteen failed cycles at 1 to 2 units each costs roughly 20 to 25 units in the worst case. Bring 30x to 50x your base unit as a session bankroll. At $10 per unit, that’s $300 to $500.
Session Limits
Set a win target at 25% to 35% of your session bankroll. At $400, that’s $100 to $140. One completed cycle at $10 base produces $120, which hits that target in a single run. If you complete a cycle early in the session, seriously consider walking. Two completed cycles in one session is an outstanding result.
For the loss limit, 40% to 50% of your bankroll. At $400, walk at $160 to $200 remaining. Our bankroll management guide covers the full framework.
Session Length
Keep sessions to 60 to 80 hands. At that length, you’ll attempt 15 to 25 cycles, giving you a reasonable chance at one or two completions. Longer sessions grind against the house edge and test your patience during inevitable stretches of Step 1 losses.
Why the 1-3-2-6 Endures as a Favorite System
The 1-3-2-6 hits a sweet spot that few systems find. It’s more exciting than the D’Alembert or Oscar’s Grind, which produce tiny incremental gains. It’s far safer than the Martingale or Labouchere, which can spiral during losing streaks. It offers bigger payoffs than the Paroli’s three-step cycle without requiring significantly more luck. And it has that elegant Step 3 dip that turns “three wins and a loss” into a profitable outcome rather than a frustrating near-miss.
No system beats the house over time. The history of baccarat is full of people who thought they’d found the secret, from edge sorting controversies to card counting experiments. The 1-3-2-6 doesn’t pretend to be that secret. It’s a structured way to enjoy the game with controlled risk, clear targets, and a built-in reward for streaks of good fortune. For a game built entirely on chance, that’s a reasonable framework to have in your pocket. For more common questions about strategy and gameplay, our baccarat FAQ covers a wide range of topics.
1-3-2-6 System in Baccarat FAQs
Bet 1 unit on Step 1. If you win, bet 3 units on Step 2. Win again, bet 2 units on Step 3. Win a third time, bet 6 units on Step 4. Any loss at any step resets you to Step 1 at 1 unit. A completed four-step cycle nets 12 units of profit. The system only presses during winning streaks and never increases bets after losses.
You still profit 2 units. The Step 3 dip from 3 units down to 2 locks in gains from Steps 1 and 2. Losing at Step 4 gives back the 6-unit bet but you’ve already banked enough from prior steps to finish +2 units. That built-in profit protection is the system’s defining feature. You reset to Step 1 and start a new cycle.
They serve different preferences. The Paroli caps risk at 1 unit and completes roughly twice as often (three wins vs. four), but pays 7 units per cycle. The 1-3-2-6 caps risk at 2 units, completes less often, but pays 12 units and guarantees profit after just two wins. If you want safety and frequency, go Paroli. If you want bigger payoffs with a profit guarantee after Step 2, go 1-3-2-6.
Bring 30x to 50x your base unit. At a $10 unit, that’s $300 to $500. You need runway for roughly 15 failed cycle attempts (at 1 to 2 units each) before a completed cycle statistically arrives. Our bankroll management page covers sizing strategies for all systems.
Banker has the lower house edge (1.06% vs. 1.24% for Player) and a higher win probability, which means slightly more completed cycles over time. The 5% commission reduces each win marginally, but the higher completion rate more than compensates. See our odds and house edge page for the full comparison.
The only difference is Step 4. The 1-3-2-4 bets 4 units on the final step instead of 6. A completed 1-3-2-4 cycle pays 10 units (vs. 12 for the 1-3-2-6). The maximum risk and the guaranteed-profit-after-Step-2 property are identical. Choose 1-3-2-6 for bigger payoffs or 1-3-2-4 if the 6-unit Step 4 bet makes you uncomfortable.
