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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 Adverse 8-Run on Even-Money Player Wagers (216-Hand Stress Test)

Stress test S223-0 documents Contra D'Alembert Press (+1 on win / -1 on loss) against Flat 1-Unit Baseline (1-1-1-1 constant unit) inside a 140-unit bankroll over 216 hands (Player 1:1 Streak, streak), where a 90-unit table ceiling produces 16.21% vs 8.20% ruin rates and quantifies 2.23u in stochastic vigorish drag. 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
16.21%
Flat Betting Ruin Rate
8.20%
Peak Trough (8-Run)
-33u
Player 1:1 Streak House Edge
1.2351%
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 B B P P B P B
Big Eye Boy = = = = = = ≠ = = = ≠ ≠ ≠ =
Small Road = = = = ≠ ≠ = = ≠ ≠ = ≠
Cockroach Pig = = ≠ ≠ ≠ = ≠ ≠ = =

Reference 8-deck shoe for Stress Cell S223 (Contra D'Alembert vs Flat Betting, Three-Shoe Adverse 8-Run 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

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 (Player 1:1 Streak)

Stress cell S223 compares +1 on win / -1 on loss against 1-1-1-1 constant unit over 216 hands.

Head-to-Head Ruin Rate
16.21% vs 8.20%

Probability of exhausting the 140-unit bankroll under a 90-unit house bet limit.

Expected Session Hold
4.65u vs 2.77u

Theoretical erosion under Even-Money Player Side (1.235% edge) (1.2351% house edge) across 216 coups.

Peak Drawdown Excursion
-33u vs -18u

Deepest unit trough triggered by a 8-hand run inside the streak shoe profile.

Tie Stalls & Commission Toll
20 Ties · 2.23u Drag

Reflects 9.26% tie frequency (20 pushes) and 2.23u in vigorish friction.

STRESS CELL S223 · STREAK SHOE PROFILE

Contra D'Alembert vs. Flat Betting stochastic drawdown-slope (216 Hands · S223)

Evaluating Contra D'Alembert vs Flat Betting in scenario S223-1 (216 hands, 140u stack, 90u table limit) audits how 20 tie stalls (9.26%) and a 8-coup run shape absorbing-barrier stake-velocity, yielding 16.21% vs 8.20% ruin.

Stress test S223-2 profiles Contra D'Alembert Press (+1 on win / -1 on loss) against Flat 1-Unit Baseline (1-1-1-1 constant unit) inside a 140-unit bankroll over 216 hands (Player 1:1 Streak, streak), where a 90-unit table ceiling produces 16.21% vs 8.20% ruin rates and profiles 2.23u in house-edge-anchored vigorish drag.

S223 drawdown-slopeContra D'AlembertFlat Betting
Contra D'Alembert / Flat Betting Rule+1 on win / -1 on loss1-1-1-1 constant unit
216-Hand Ruin (140u)16.21%8.20%
Player 1:1 Streak Hold (1.2351%)4.65u2.77u
8-Run Trough (90u Cap)-33u-18u
VIGORISH & TABLE CEILING INTERACTION

Player 1:1 Streak Vigorish (2.23u) & 9.26% Tie Push Audit (S223)

Evaluating Contra D'Alembert vs Flat Betting in scenario S223-3 (216 hands, 140u stack, 90u table limit) verifies how 20 tie stalls (9.26%) and a 8-coup run shape eight-deck drawdown-slope, yielding 16.21% vs 8.20% ruin.

Stress test S223-4 benchmarks Contra D'Alembert Press (+1 on win / -1 on loss) against Flat 1-Unit Baseline (1-1-1-1 constant unit) inside a 140-unit bankroll over 216 hands (Player 1:1 Streak, streak), where a 90-unit table ceiling produces 16.21% vs 8.20% ruin rates and dissects 2.23u in table-capped vigorish drag.

  • Trial S223: set a 140u stop before running Contra D'Alembert vs Flat Betting over 216 hands.
  • Scenario S223 documents 2.23u in commission drag and 20 tie pushes (9.26% Tie rate).
  • Board rule S223: derived road red marks stochastic column repetition and blue marks a structural break (drawdown-slope), never Banker or Player.
Table Reality Check

Myth vs. Truth

MythSwitching from Flat Betting to Contra D'Alembert during Three-Shoe Adverse 8-Run on Even-Money Player Wagers neutralizes the 1.2351% house edge.
TruthOver 216 hands on a 140-unit stack, Contra D'Alembert carries 4.65u expected loss (16.21% ruin) vs 2.77u (8.20% ruin) for Flat Betting.
MythDuring a 8-hand streak 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