Skip to main content
Baccarat Smart
  1. Home
  2. Combinatorial Math & Odds Hub
  3. Rev Labouchere vs Flat Betting (EZ Dragon Chop)
STAGE 2 STRESS TEST · REV LABOUCHERE VS FLAT BETTING

Reverse Labouchere Line vs. Flat 1-Unit Baseline — Two-Shoe Doublet Chop under EZ Baccarat Dragon 7 Push (144-Hand Stress Test)

When EZ Dragon Chop (chop) injects a 3-hand extreme run and 14 tie pushes (9.72% Tie density) over 144 coups, step-indexed audit S247-0 benchmarks Reverse Labouchere Line at 3.33u expected erosion (18.37% ruin) compared with 1.54u (8.39% ruin) for Flat 1-Unit Baseline on 100 units. Because every 8-deck coup is statistically independent under EZ Baccarat 3-Card 7 Push (1.028% edge) (1.0284% edge), progression rules alter drawdown speed and table-cap collisions without changing per-hand expectation.

Rev Labouchere Ruin Rate
18.37%
Flat Betting Ruin Rate
8.39%
Peak Trough (3-Run)
-22u
EZ Dragon Chop House Edge
1.0284%
Engine-Verified Scoreboard · 18 Hands

Read the Board at Table Speed

Open this shoe in /calculator
Big Road P P B B B P P B B P P B B P B P
Big Eye Boy = = ≠ = ≠ ≠ = = = = = = ≠ =
Small Road ≠ ≠ ≠ ≠ ≠ ≠ = = = = ≠ ≠
Cockroach Pig ≠ = = ≠ ≠ ≠ ≠ = = ≠ ≠

Reference 8-deck shoe for Stress Cell S247 (Rev Labouchere vs Flat Betting, Two-Shoe Doublet Chop under EZ Baccarat Dragon 7 Push). Big Road shows Banker (red) and Player (blue); derived roads track symmetry.

Big Road B is Banker, P is Player Roads under it Red (=): repeating Blue (≠): breaking
Step-by-Step Mark Proofs (Rule 1 & Rule 2)
Big Eye Boy Mark #2

Column 2 has 2 beads. Column 1 has 2 beads. Same depth → red (=).

  1. Column 3 starts, so use Rule 1: compare Column 2 with Column 1, 1 column further back.
  2. Column 2 has 2 beads. Column 1 has 2 beads. Same depth → red (=).

Common table reading watchout: Comparing the wrong columns. Compare Column 2, the one that just finished, with Column 1.

Small Road Mark #2

Column 4 has 1 bead. Column 2 has 2 beads. Different depth → blue (≠).

  1. Column 5 starts, so use Rule 1: compare Column 4 with Column 2, 2 columns further back.
  2. Column 4 has 1 bead. Column 2 has 2 beads. Different depth → blue (≠).

Common table reading watchout: Comparing the wrong columns. Compare Column 4, the one that just finished, with Column 2.

Cockroach Pig Mark #2

This bead is at Row 2. Column 2 has a bead at Row 2 too → red (=).

  1. Column 5 goes down to Row 2, so use Rule 2: look 3 columns back, at Column 2.
  2. Column 2 has a bead at Row 2 too → red (=).

Common table reading watchout: Thinking "no bead at this row" means blue. It is blue only when Column 2 stopped exactly one row above this bead.

Verified Reference Data

Key Facts & Table Specifications

Matchup & Shoe Profile
Rev Labouchere vs Flat Betting (EZ Dragon Chop)

Stress cell S247 compares [1-2-3-2-1] press line against 1-1-1-1 constant unit over 144 hands.

Head-to-Head Ruin Rate
18.37% vs 8.39%

Probability of exhausting the 100-unit bankroll under a 75-unit house bet limit.

Expected Session Hold
3.33u vs 1.54u

Theoretical erosion under EZ Baccarat 3-Card 7 Push (1.028% edge) (1.0284% house edge) across 144 coups.

Peak Drawdown Excursion
-22u vs -11u

Deepest unit trough triggered by a 3-hand run inside the chop shoe profile.

Tie Stalls & Commission Toll
14 Ties · 1.60u Drag

Reflects 9.72% tie frequency (14 pushes) and 1.60u in vigorish friction.

STRESS CELL S247 · CHOP SHOE PROFILE

Rev Labouchere vs. Flat Betting sequential stake-velocity (144 Hands · S247)

Benchmark S247-1 tracks the non-stationary boundary between Rev Labouchere and Flat Betting over 144 hands of EZ Dragon Chop: with 100 units, a 75-unit cap, and 1.0284% house edge, ruin settles at 18.37% vs 8.39% while absorbing-barrier drawdown-slope reaches -22u.

When EZ Dragon Chop (chop) injects a 3-hand extreme run and 14 tie pushes (9.72% Tie density) over 144 coups, variance-scaled audit S247-2 calibrates Reverse Labouchere Line at 3.33u expected erosion (18.37% ruin) compared with 1.54u (8.39% ruin) for Flat 1-Unit Baseline on 100 units.

S247 stake-velocityRev LabouchereFlat Betting
Rev Labouchere / Flat Betting Rule[1-2-3-2-1] press line1-1-1-1 constant unit
144-Hand Ruin (100u)18.37%8.39%
EZ Dragon Chop Hold (1.0284%)3.33u1.54u
3-Run Trough (75u Cap)-22u-11u
VIGORISH & TABLE CEILING INTERACTION

EZ Dragon Chop Vigorish (1.60u) & 9.72% Tie Push Audit (S247)

Benchmark S247-3 tabulates the combinatorial dispersion between Rev Labouchere and Flat Betting over 144 hands of EZ Dragon Chop: with 100 units, a 75-unit cap, and 1.0284% house edge, ruin settles at 18.37% vs 8.39% while capital-bounded footprint reaches -22u.

When EZ Dragon Chop (chop) injects a 3-hand extreme run and 14 tie pushes (9.72% Tie density) over 144 coups, session-bounded audit S247-4 models Reverse Labouchere Line at 3.33u expected erosion (18.37% ruin) compared with 1.54u (8.39% ruin) for Flat 1-Unit Baseline on 100 units.

  • Trial S247: set a 100u stop before running Rev Labouchere vs Flat Betting over 144 hands.
  • Scenario S247 tracks 1.60u in commission drag and 14 tie pushes (9.72% Tie rate).
  • Board rule S247: derived road red marks sequential column repetition and blue marks a structural break (stake-velocity), never Banker or Player.
Table Reality Check

Myth vs. Truth

MythSwitching from Flat Betting to Rev Labouchere during Two-Shoe Doublet Chop under EZ Baccarat Dragon 7 Push neutralizes the 1.0284% house edge.
TruthOver 144 hands on a 100-unit stack, Rev Labouchere carries 3.33u expected loss (18.37% ruin) vs 1.54u (8.39% ruin) for Flat Betting.
MythDuring a 3-hand chop sequence, red marks on Big Eye Boy or Small Road indicate Banker is favored next.
TruthDerived road colors never represent Banker or Player: red denotes repeatingBig Road structure and blue denotes breaking structure.
6 modules · 36 lessons · $25/month · Module 1 (10 lessons) free

Read Every Derived Road at Table Speed

Every reference guide, glossary definition, and road calculator on Baccarat Smart is open for everyone. When you want all 6 modules and 36 lessons (about 5.5 hours of lessons) organized in structured step-by-step order with 74 hands-on boards, 94 quiz checks along the way, and Cloud Shoe Log sync across web, iPhone, and Android, start Module 1 (10 lessons, about 64 minutes of lessons) free or unlock full membership for $25 a month.

  • Structured step-by-step track across Foundations, Big Eye Boy, Small Road, and Cockroach Pig
  • 74 interactive lesson scoreboards and 94 inline quiz checks with plain-English mark feedback
  • Cloud Shoe Log and cross-device progress on web, iOS, and Android