1-3-2-6 Betting System: How the Four-Step Sequence Works

Four bets. Four numbers. One clean loop.

After each win, you move to the next number in the sequence: 1, 3, 2, 6. Lose at any point, go back to the start. Complete all four wins, go back to the start. That is the entire system.

Stick around for about five minutes and you will understand why this is one of the most well-designed positive progression systems out there, why the weird dip at step 3 is actually genius, and why a lesser-known variant called 1-3-2-4 might suit you even better.

No fluff, just the rules you actually need.

What is the 1-3-2-6 betting system?

The 1-3-2-6 is a positive progression system built for even-money bets. You find those on crypto roulette (red/black, odd/even), crypto baccarat (Player/Banker), craps (pass/don't pass), and sometimes crypto blackjack (with caveats we will get to).

The numbers are not random. They are structured so your biggest bet (6 units at step 4) only happens when you are playing with accumulated winnings. And the dip to 2 units at step 3 locks in profit mid-cycle. Even if step 4 loses, you break even.

Think of it as a four-round sprint. Win all four rounds, collect a big payout, reset. Lose anywhere along the way, reset. The system keeps your losses small and your wins structured.

The 1-3-2-6 comes from the same family as the Paroli (Reverse Martingale), but it adds a layer of risk management that Paroli does not have. Where Paroli just doubles after every win (1-2-4-8...), the 1-3-2-6 pulls back at step 3 to protect profits before the big swing at step 4. That pull-back is the system's defining design choice. More on that later.

Origin is unclear. The Wizard of Odds states he does not know who created it or its history. It has been in circulation since at least the 1990s and appears in gambling guides across baccarat and roulette circles, but no single inventor is credited.

Standard disclaimer: the system does not change the house edge. It changes how you experience the game.

How it works

Pick an even-money bet. Set a base unit. Then follow this:

  • Step 1: Bet 1 unit. Win → move to step 2. Lose → stay at step 1.
  • Step 2: Bet 3 units. Win → move to step 3. Lose → reset to step 1.
  • Step 3: Bet 2 units. Win → move to step 4. Lose → reset to step 1.
  • Step 4: Bet 6 units. Win or lose → reset to step 1. The cycle is complete either way.

Ties (in baccarat): repeat the same step. The bet stays, the sequence pauses.

That's it. Four steps, one loop, total clarity.

Worked example: $10 base unit on European roulette

Let's run three scenarios. Bet is on red every time.

Scenario 1: Full winning cycle (WWWW)

Step Bet Result Running Cycle P/L
1 $10 Win (+$10) +$10
2 $30 Win (+$30) +$40
3 $20 Win (+$20) +$60
4 $60 Win (+$60) +$120

Cycle complete. Reset. You are up $120 (12 units).

Scenario 2: Win one, lose one (WL)

Step Bet Result Running Cycle P/L
1 $10 Win (+$10) +$10
2 $30 Lose (-$30) -$20

Reset. You are down $20 (2 units). This is the worst-case cycle outcome.

Scenario 3: Win three, lose at step 4 (WWWL)

Step Bet Result Running Cycle P/L
1 $10 Win (+$10) +$10
2 $30 Win (+$30) +$40
3 $20 Win (+$20) +$60
4 $60 Lose (-$60) $0

Reset. Breakeven. Three wins in a row and you lost nothing. Read that again.

The five possible outcomes

Here is the quick version of this entire system. This is the table worth bookmarking.

There are exactly five outcomes per cycle (excluding ties):

Outcome Step 1 Step 2 Step 3 Step 4 Cycle P/L
L Bet 1, lose -1 unit
WL Bet 1, win (+1) Bet 3, lose (-3) -2 units
WWL Bet 1, win (+1) Bet 3, win (+3) Bet 2, lose (-2) +2 units
WWWL Bet 1, win (+1) Bet 3, win (+3) Bet 2, win (+2) Bet 6, lose (-6) 0 units
WWWW Bet 1, win (+1) Bet 3, win (+3) Bet 2, win (+2) Bet 6, win (+6) +12 units

Now look at what this tells you:

The maximum you can lose in any single cycle is 2 units. Not 6. Not 12. Two units. That happens on a WL result, and that is the ceiling. That is the system's primary safety feature.

A loss at step 1 costs only 1 unit. Tiny. You shrug it off.

A loss at step 3 produces a profit of 2 units. You already won at steps 1 and 2 (+4 total), and the step 3 loss only costs 2. You walk away ahead.

A loss at step 4 is a breakeven. You won +6 from steps 1 through 3 and lost 6 at step 4. Net zero. Not a disaster, not a win. Just a reset.

A completed cycle (WWWW) pays +12 units. The big one.

Here is the design elegance: three of the five outcomes are neutral-to-positive. Only L (-1) and WL (-2) cost you anything, and both are small. You can lose at 3 of the 5 outcomes and still be fine.

One thing to watch: the WWWL outcome (0 units) feels like a loss psychologically. You won three bets in a row and ended up with nothing. Your brain registers that as failure. It is not. It is breakeven. That emotional mismatch is where many players incorrectly decide the system "failed" and start making impulsive changes.

Why the step-3 dip matters

This is what makes the 1-3-2-6 worth understanding.

The drop from 3 units (step 2) to 2 units (step 3) looks wrong. Every other positive progression keeps increasing. Paroli goes 1-2-4. Reverse Martingale goes 1-2-4-8. The 1-3-2-6 breaks that pattern on purpose.

Here is what the pull-back accomplishes:

After winning steps 1 and 2, you are up +4 units. By betting only 2 at step 3, you guarantee that even if you lose, you keep +2 units of profit. The reduced bet at step 3 works as a profit lock. You are banking 2 units of guaranteed gain before swinging for the big step 4 payout.

Compare that to Paroli (1-2-4, three-win cap): After winning steps 1 and 2, you are up +3 units. Your step 3 bet is 4 units. If you lose, you are down -1 unit for the cycle. No profit lock. No safety net. Your earlier wins are fully re-risked.

Compare to Reverse Martingale (1-2-4-8): After three wins, you are up +7 units. Your step 4 bet is 8 units. A loss costs you -1 for the cycle. Again, the entire accumulated win goes back on the table.

The 1-3-2-6 sacrifices maximum upside in exchange for mid-cycle protection. Paroli's three-win cycle pays +7; the 1-3-2-6's WWWL pays 0 instead of -1. Whether that trade-off appeals to you depends on how much you value protecting gains along the way.

For players who have ever watched three straight wins evaporate on one bad bet, this pull-back is not strange. It is the whole point.

Wizard of Odds analysis

The Wizard of Odds ran a full probability analysis on every possible outcome pattern for the 1-3-2-6 system. Here are his findings:

Baccarat Player bet (1.235% house edge):

  • Expected loss per session: 0.050 units
  • Average bets per session: 4.07
  • Ratio of expected loss to money bet: 1.24%

Baccarat Banker bet (1.06% effective edge after commission):

  • Expected loss per session: 0.045 units
  • Average bets per session: 3.82
  • Ratio of expected loss to money bet: 1.06%

The ratio of expected money lost to money wagered per session matches the underlying house edge of the game almost exactly. In other words, over enough cycles, you lose the same percentage of total money bet as a flat bettor.

This confirms what every rigorous system analysis shows: the 1-3-2-6 redistributes variance but does not change the cost of play. It shapes the experience. It does not bend the math.

If you play crypto baccarat with this system, the Banker bet gives you the best long-run numbers. The Player bet is a cleaner mechanical fit (no commission calculations), but the edge difference is real over thousands of hands.

The 1-3-2-4 variant

Almost nobody talks about this one. They should.

The 1-3-2-4 was developed as a refinement of 1-3-2-6, reportedly published in 2006. The only change: the step 4 bet drops from 6 units to 4.

That one number fixes the system's biggest emotional weak point.

Outcome 1-3-2-6 Result 1-3-2-4 Result
L -1 -1
WL -2 -2
WWL +2 +2
WWWL 0 (breakeven) +2 (profit)
WWWW +12 +10

The trade: you give up 2 units of maximum win (+10 vs +12) but convert the WWWL breakeven into a +2 profit.

That WWWL outcome is the second most frustrating result in the original system. Three wins in a row, and you end up with zero. The 1-3-2-4 turns that into a win. The cost? Your jackpot cycle pays +10 instead of +12.

For risk-averse players, the 1-3-2-4 is the stronger pick. For players who want maximum upside from completed cycles, the original 1-3-2-6 wins. Both produce the same house edge applied to total money wagered. The difference is purely in how the variance distributes across outcomes.

If the WWWL breakeven would frustrate you (and be honest with yourself about this), the 1-3-2-4 removes that frustration at a very small cost.

1-3-2-6 vs. Paroli

Two popular positive progression systems, different philosophies. Here is the direct comparison:

Aspect 1-3-2-6 Paroli (3-win cap)
Sequence 1, 3, 2, 6 1, 2, 4
Steps in cycle 4 3
Completed cycle profit +12 units +7 units
Maximum single-cycle loss -2 units (at step 2) -1 unit (at any loss)
Mid-cycle profit lock Yes (step 3 dip) No
Loss at final step Breakeven (0) -1 unit
Complexity Slightly higher Simpler

Paroli is simpler and caps the maximum cycle loss at 1 unit. The 1-3-2-6 can lose up to 2 units on a WL result but compensates with the step-3 profit lock and a higher completed-cycle payout.

Neither is objectively better. Paroli is the minimalist option. The 1-3-2-6 is for players who want more structure and mid-cycle protection. Pick the one that matches how you think about risk.

Which games fit

Baccarat: The system's natural home. Player bet (1.24% edge) or Banker bet (1.06% after commission). The Wizard's analysis centers on baccarat, and the system is most commonly discussed in baccarat circles. If you are playing crypto baccarat, this is where the 1-3-2-6 runs cleanest.

Roulette: Even-money bets on European roulette (2.70% edge). French roulette with La Partage (1.35%) is the ideal fit if you can find it at your preferred crypto roulette table.

Craps: Pass/don't pass line bets. Straightforward application.

Blackjack: Awkward fit. Naturals paying 3:2, splits, and doubles all break the clean four-step progression. Some players at crypto blackjack tables ignore these complications and treat each hand as a simple win or loss. It works mechanically, but the variable payouts mean the profit math from the five-outcomes table does not hold precisely. Use it here if you want, just know the numbers get fuzzy.

Does it work?

The 1-3-2-6 is one of the most elegantly designed betting systems you will find. The maximum cycle loss is capped at 2 units. The step-3 dip locks in profit mid-sequence. A loss at step 4 is breakeven, not a disaster. And a completed cycle pays +12 units for a total of 12 units wagered.

The math underneath is the same as every other system. The Wizard of Odds analysis shows the ratio of expected loss to total money wagered matches the game's house edge exactly. Over enough cycles, you lose the same amount as a flat bettor. The 1-3-2-6 packages the experience more pleasantly: many small losses (1-2 units), occasional modest wins (+2 at a step 3 loss), rare big wins (+12 at completion), and the occasional breakeven that feels like a near-miss but is not.

If you want a short, structured, repeatable system that caps your risk, protects mid-cycle profits, and gives you a clear target with every cycle, the 1-3-2-6 does that better than almost anything else. Just understand that the packaging is the product. The odds have not changed.

Practical tips from the author

  • Set your base unit at 1/6 of what you are comfortable losing in a single hand. The Wizard recommends this. If your pain threshold is $60, your base unit is $10. The step 4 bet (6 units) hits that ceiling exactly.
  • The WL outcome (-2 units) is the only significant loss. It happens when you win step 1 and lose step 2. It will occur frequently. Expect it, plan for it, do not let it change your approach.
  • The WWWL outcome (0 units) feels like a loss but is breakeven. Do not let it push you into abandoning the system or making random changes. Breaking even after winning 3 out of 4 is a good result by casino standards.
  • Consider the 1-3-2-4 variant if the WWWL breakeven genuinely frustrates you. It converts that outcome into +2 at the cost of reducing the completed cycle payout from +12 to +10.
  • The system is fast. Each cycle lasts at most 4 bets. You can run many cycles per session. Set a session profit target (+20 to +30 units) and a loss limit (-15 to -20 units). When you hit either, stop.
  • Play the lowest-edge even-money bets available. Baccarat Banker (1.06%) gives the best long-term survival rate. Baccarat Player (1.24%) is a cleaner fit mechanically. On crypto roulette, stick to European wheels.
  • Do not modify the sequence mid-session. The protection built into the 1-3-2-6 structure depends on the exact numbers. Changing them because "it feels right" removes the safety features you chose this system for in the first place.
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