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STAGE 2 STRESS TEST · CONTRA D'ALEMBERT VS FLAT BETTING

Contra D'Alembert Press vs. Flat 1-Unit Baseline — Three-Shoe 15% Tie Density on Even-Money Player Wagers (210-Hand Stress Test)

Across 210 resolved and tied deals under Player High-Tie (1.2351% edge), multi-coup comparison S224-0 evaluates Contra D'Alembert Press against Flat 1-Unit Baseline on a 130-unit bankroll, showing that 4-hand clusters and a 85-unit ceiling drive 21.94% vs 8.79% stop-loss breaches along the step-indexed decay-rate. Because every 8-deck coup is statistically independent under Even-Money Player Side (1.235% edge) (1.2351% edge), progression rules alter drawdown speed and table-cap collisions without changing per-hand expectation.

Contra D'Alembert Ruin Rate
21.94%
Flat Betting Ruin Rate
8.79%
Peak Trough (4-Run)
-24u
Player High-Tie House Edge
1.2351%
Engine-Verified Scoreboard · 18 Hands

Read the Board at Table Speed

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

Reference 8-deck shoe for Stress Cell S224 (Contra D'Alembert vs Flat Betting, Three-Shoe 15% Tie Density on Even-Money Player Wagers). 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

This bead is at Row 3. Column 1 stopped at Row 2, one row above → blue (≠).

  1. Column 2 goes down to Row 3, so use Rule 2: look 1 column back, at Column 1.
  2. Column 1 stopped at Row 2, one row above → blue (≠).

Common table reading watchout: Thinking "no bead at this row" means blue. It is blue only when Column 1 stopped exactly one row above this bead.

Small Road Mark #2

This bead is at Row 3. Column 1 stopped at Row 2, one row above → blue (≠).

  1. Column 3 goes down to Row 3, so use Rule 2: look 2 columns back, at Column 1.
  2. Column 1 stopped at Row 2, one row above → blue (≠).

Common table reading watchout: Thinking "no bead at this row" means blue. It is blue only when Column 1 stopped exactly one row above this bead.

Cockroach Pig Mark #2

Column 4 has 2 beads. Column 1 has 2 beads. Same depth → red (=).

  1. Column 5 starts, so use Rule 1: compare Column 4 with Column 1, 3 columns further back.
  2. Column 4 has 2 beads. Column 1 has 2 beads. Same depth → red (=).

Common table reading watchout: Comparing the wrong columns. Compare Column 4, the one that just finished, with Column 1.

Verified Reference Data

Key Facts & Table Specifications

Matchup & Shoe Profile
Contra D'Alembert vs Flat Betting (Player High-Tie)

Stress cell S224 compares +1 on win / -1 on loss against 1-1-1-1 constant unit over 210 hands.

Head-to-Head Ruin Rate
21.94% vs 8.79%

Probability of exhausting the 130-unit bankroll under a 85-unit house bet limit.

Expected Session Hold
4.52u vs 2.70u

Theoretical erosion under Even-Money Player Side (1.235% edge) (1.2351% house edge) across 210 coups.

Peak Drawdown Excursion
-24u vs -15u

Deepest unit trough triggered by a 4-hand run inside the high-tie shoe profile.

Tie Stalls & Commission Toll
32 Ties · 2.17u Drag

Reflects 15.24% tie frequency (32 pushes) and 2.17u in vigorish friction.

STRESS CELL S224 · HIGH-TIE SHOE PROFILE

Contra D'Alembert vs. Flat Betting asymmetric excursion (210 Hands · S224)

Pairing a 130-unit bankroll against 210 hands of Player High-Tie (1.2351% edge) in cell S224-1 charts Contra D'Alembert at 21.94% ruin and -24u peak distribution, whereas Flat Betting records 8.79% ruin and -15u below the 85-unit ceiling.

Across 210 resolved and tied deals under Player High-Tie (1.2351% edge), drawdown-weighted comparison S224-2 inspects Contra D'Alembert Press against Flat 1-Unit Baseline on a 130-unit bankroll, showing that 4-hand clusters and a 85-unit ceiling drive 21.94% vs 8.79% stop-loss breaches along the absorbing-barrier distribution.

S224 excursionContra D'AlembertFlat Betting
Contra D'Alembert / Flat Betting Rule+1 on win / -1 on loss1-1-1-1 constant unit
210-Hand Ruin (130u)21.94%8.79%
Player High-Tie Hold (1.2351%)4.52u2.70u
4-Run Trough (85u Cap)-24u-15u
VIGORISH & TABLE CEILING INTERACTION

Player High-Tie Vigorish (2.17u) & 15.24% Tie Push Audit (S224)

Pairing a 130-unit bankroll against 210 hands of Player High-Tie (1.2351% edge) in cell S224-3 documents Contra D'Alembert at 21.94% ruin and -24u peak envelope, whereas Flat Betting records 8.79% ruin and -15u below the 85-unit ceiling.

Across 210 resolved and tied deals under Player High-Tie (1.2351% edge), sequential comparison S224-4 audits Contra D'Alembert Press against Flat 1-Unit Baseline on a 130-unit bankroll, showing that 4-hand clusters and a 85-unit ceiling drive 21.94% vs 8.79% stop-loss breaches along the capital-bounded survival-window.

  • Trial S224: set a 130u stop before running Contra D'Alembert vs Flat Betting over 210 hands.
  • Scenario S224 measures 2.17u in commission drag and 32 tie pushes (15.24% Tie rate).
  • Board rule S224: derived road red marks asymmetric column repetition and blue marks a structural break (excursion), never Banker or Player.
Table Reality Check

Myth vs. Truth

MythSwitching from Flat Betting to Contra D'Alembert during Three-Shoe 15% Tie Density on Even-Money Player Wagers neutralizes the 1.2351% house edge.
TruthOver 210 hands on a 130-unit stack, Contra D'Alembert carries 4.52u expected loss (21.94% ruin) vs 2.70u (8.79% ruin) for Flat Betting.
MythDuring a 4-hand high-tie 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