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STAGE 2 BANKROLL MATRIX · CONTRA D'ALEMBERT · 500U / 2-SHOE

Contra D'Alembert Press — 500-Unit Bankroll & 2-Shoe (144-Hand) Risk-of-Ruin Matrix

When a 500-unit stack enters a 2-shoe (144-hand) session using Contra D'Alembert Press, drawdown-weighted model M324-0 benchmarks 281u in cumulative action and a 5.13% barrier-absorption probability before the 50-unit table maximum truncates the combinatorial footprint. Every 8-deck hand remains statistically independent (45.86% Banker, 44.62% Player, 9.52% Tie), meaning progression sizing reshapes session variance without altering the house edge.

Ruin Rate (-250u Stop)
5.13%
Target Hit (+125u Cap)
45.46%
144-Hand Expected Hold
3.39u
Table Max (6-Step Depth)
50u
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 Matrix Cell M324 (Contra D'Alembert Press, 500u bankroll, 144 hands). Big Road and Bead Plate show Banker (red) and Player (blue); derived roads record structural 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

Session Bankroll & Horizon
500u / 2 Shoes (144 Hands)

Matrix cell M324 tests Contra D'Alembert Press with a $25 base unit and -250u/+125u absorbing boundaries.

Stop-Loss Ruin Probability
5.13%

Probability of hitting the -250u drawdown barrier before completing 144 hands or reaching +125u.

Stop-Win Target Completion
45.46%

Share of 144-hand trajectories reaching the +125u session ceiling, with 49.41% ending between barriers.

Table Limit Survival Depth
6 Steps (50u Cap)

A 50-unit house limit and 500-unit stack cap Contra D'Alembert escalation after 6 adverse coups.

Expected Session House Hold
3.39u ($85)

Derived from 281u total action (1.95x average wager) multiplied by the 1.0579% 8-deck Banker edge.

MATRIX CELL M324 · STOP-LOSS & STOP-WIN GEOMETRY

Contra D'Alembert 500u sequential absorption-curve Across 144 Hands (M324)

Testing Contra D'Alembert (+1 on win / -1 on loss) at 500 units across 144 coups in cell M324-1 models a 5.13% chance of striking the -250-unit stop-loss, while the 50-unit pit ceiling and 1.058% Banker edge impose 3.39u ($85) in expected erosion.

When a 500-unit stack enters a 2-shoe (144-hand) session using Contra D'Alembert Press, finite-shoe model M324-2 computes 281u in cumulative action and a 5.13% barrier-absorption probability before the 50-unit table maximum truncates the capital-bounded turnover.

M324 ParameterContra D'Alembert (500u)2-Shoe absorption-curve
Contra D'Alembert Ladder+1 on win / -1 on loss (10 steps)Peak 10u multiplier on M324
500u Stack Window144 hands (2 shoes)Barriers -250u / +125u
50u Ceiling & Ruin5.13% ruin vs 45.46% winDepth 6 steps (2 cap hits)
281u Handle & Hold3.39u ($85)Multiplier 1.95x (sequential drift)
STEP ESCALATION & TURNOVER AUDIT

50u Ceiling Collisions & Contra D'Alembert Turnover (2 Shoes)

Testing Contra D'Alembert (+1 on win / -1 on loss) at 500 units across 144 coups in cell M324-3 inspects a 5.13% chance of striking the -250-unit stop-loss, while the 50-unit pit ceiling and 1.058% Banker edge impose 3.39u ($85) in expected erosion.

When a 500-unit stack enters a 2-shoe (144-hand) session using Contra D'Alembert Press, variance-scaled model M324-4 verifies 281u in cumulative action and a 5.13% barrier-absorption probability before the 50-unit table maximum truncates the step-indexed progression-curve.

  • Cell M324 rule: lock the -250u stop on your 500u Contra D'Alembert stack across 144 hands.
  • Matrix M324 calibrates 3.39u ($85) in house hold over 281u of Contra D'Alembert action.
  • Scoreboard check M324: Big Eye Boy, Small Road, and Cockroach Pig use red for repeating symmetry (sequential absorption-curve) and blue for pattern breaks—never for Banker or Player.
Table Reality Check

Myth vs. Truth

MythBringing 500 units to a 2-shoe session lets Contra D'Alembert Press overcome the 1.058% Banker house edge.
TruthNo bankroll size alters per-hand expectation: over 144 hands, Contra D'Alembert generates 281u in action, 3.39u in expected loss, and a 5.13% stop-loss ruin rate.
MythDerived road colors on the scoreboard tell Contra D'Alembert bettors whether Banker (red) or Player (blue) is due during a 144-hand run.
TruthOn Big Eye Boy, Small Road, and Cockroach Pig, red indicates repeating column structure and blue indicates breaking structure; neither color represents Banker or Player.
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