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

Contra D'Alembert Press vs. Flat 1-Unit Baseline — Two-Shoe High-Tie Stall under EZ Baccarat Dragon 7 Push (152-Hand Stress Test)

Under EZ High-Tie (1.0284% effective edge), commission-adjusted stress run S221-0 over 152 hands and a 110-unit treasury calibrates a -24u drawdown (18.15% ruin) for Contra D'Alembert Press against -13u (6.96% ruin) for Flat 1-Unit Baseline inside a 75-unit cap. 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.

Contra D'Alembert Ruin Rate
18.15%
Flat Betting Ruin Rate
6.96%
Peak Trough (5-Run)
-24u
EZ High-Tie 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 P P B B P P B P B P P B
Big Eye Boy = = = = = = ≠ = = = ≠ ≠ = =
Small Road = = = = = = ≠ ≠ ≠ ≠ = =
Cockroach Pig = = = = = = ≠ ≠ = =

Reference 8-deck shoe for Stress Cell S221 (Contra D'Alembert vs Flat Betting, Two-Shoe High-Tie Stall 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 3 has 2 beads. Column 1 has 2 beads. Same depth → red (=).

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

Common table reading watchout: Comparing the wrong columns. Compare Column 3, the one that just finished, with Column 1.

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 (EZ High-Tie)

Stress cell S221 compares +1 on win / -1 on loss against 1-1-1-1 constant unit over 152 hands.

Head-to-Head Ruin Rate
18.15% vs 6.96%

Probability of exhausting the 110-unit bankroll under a 75-unit house bet limit.

Expected Session Hold
2.73u vs 1.63u

Theoretical erosion under EZ Baccarat 3-Card 7 Push (1.028% edge) (1.0284% house edge) across 152 coups.

Peak Drawdown Excursion
-24u vs -13u

Deepest unit trough triggered by a 5-hand run inside the high-tie shoe profile.

Tie Stalls & Commission Toll
26 Ties · 1.31u Drag

Reflects 17.11% tie frequency (26 pushes) and 1.31u in vigorish friction.

STRESS CELL S221 · HIGH-TIE SHOE PROFILE

Contra D'Alembert vs. Flat Betting bankroll-constrained profile (152 Hands · S221)

In multi-coup comparative trial S221-1, running Contra D'Alembert against Flat Betting for 152 hands of EZ High-Tie (high-tie) on 110 units tabulates 2.73u vs 1.63u in expected toll and 18.15% vs 6.96% ruin under a 75-unit pit limit.

Under EZ High-Tie (1.0284% effective edge), discrete-time stress run S221-2 over 152 hands and a 110-unit treasury models a -24u drawdown (18.15% ruin) for Contra D'Alembert Press against -13u (6.96% ruin) for Flat 1-Unit Baseline inside a 75-unit cap.

S221 profileContra D'AlembertFlat Betting
Contra D'Alembert / Flat Betting Rule+1 on win / -1 on loss1-1-1-1 constant unit
152-Hand Ruin (110u)18.15%6.96%
EZ High-Tie Hold (1.0284%)2.73u1.63u
5-Run Trough (75u Cap)-24u-13u
VIGORISH & TABLE CEILING INTERACTION

EZ High-Tie Vigorish (1.31u) & 17.11% Tie Push Audit (S221)

In drawdown-weighted comparative trial S221-3, running Contra D'Alembert against Flat Betting for 152 hands of EZ High-Tie (high-tie) on 110 units measures 2.73u vs 1.63u in expected toll and 18.15% vs 6.96% ruin under a 75-unit pit limit.

Under EZ High-Tie (1.0284% effective edge), capital-bounded stress run S221-4 over 152 hands and a 110-unit treasury dissects a -24u drawdown (18.15% ruin) for Contra D'Alembert Press against -13u (6.96% ruin) for Flat 1-Unit Baseline inside a 75-unit cap.

  • Trial S221: set a 110u stop before running Contra D'Alembert vs Flat Betting over 152 hands.
  • Scenario S221 inspects 1.31u in commission drag and 26 tie pushes (17.11% Tie rate).
  • Board rule S221: derived road red marks bankroll-constrained column repetition and blue marks a structural break (profile), never Banker or Player.
Table Reality Check

Myth vs. Truth

MythSwitching from Flat Betting to Contra D'Alembert during Two-Shoe High-Tie Stall under EZ Baccarat Dragon 7 Push neutralizes the 1.0284% house edge.
TruthOver 152 hands on a 110-unit stack, Contra D'Alembert carries 2.73u expected loss (18.15% ruin) vs 1.63u (6.96% ruin) for Flat Betting.
MythDuring a 5-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