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STAGE 2 BANKROLL MATRIX · CONTRA D'ALEMBERT · 30U / 2-SHOE

Contra D'Alembert Press — 30-Unit Bankroll & 2-Shoe (144-Hand) Risk-of-Ruin Matrix

Within finite-shoe horizon M304-0, a 30-unit treasury backing Contra D'Alembert Press for 144 hands (2 shoes) faces a 50-unit bet cap that calibrates 48.50% ruin exposure, 32.32% target attainment at +8u, and 19.17% time-limit expiration. 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 (-15u Stop)
48.50%
Target Hit (+8u Cap)
32.32%
144-Hand Expected Hold
2.06u
Table Max (5-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 P P B B B B P B P B
Big Eye Boy = = = ≠ = ≠ = = = = = ≠ ≠ =
Small Road = ≠ = ≠ = ≠ = ≠ = ≠ ≠ ≠
Cockroach Pig = ≠ = ≠ = = ≠ ≠

Reference 8-deck shoe for Matrix Cell M304 (Contra D'Alembert Press, 30u 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

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

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

  1. Column 4 goes down to Row 3, so use Rule 2: look 3 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.

Verified Reference Data

Key Facts & Table Specifications

Session Bankroll & Horizon
30u / 2 Shoes (144 Hands)

Matrix cell M304 tests Contra D'Alembert Press with a $25 base unit and -15u/+8u absorbing boundaries.

Stop-Loss Ruin Probability
48.50%

Probability of hitting the -15u drawdown barrier before completing 144 hands or reaching +8u.

Stop-Win Target Completion
32.32%

Share of 144-hand trajectories reaching the +8u session ceiling, with 19.17% ending between barriers.

Table Limit Survival Depth
5 Steps (50u Cap)

A 50-unit house limit and 30-unit stack cap Contra D'Alembert escalation after 5 adverse coups.

Expected Session House Hold
2.06u ($52)

Derived from 171u total action (1.19x average wager) multiplied by the 1.0579% 8-deck Banker edge.

MATRIX CELL M304 · STOP-LOSS & STOP-WIN GEOMETRY

Contra D'Alembert 30u capital-bounded escalation Across 144 Hands (M304)

Horizon matrix M304-1 dissects how Contra D'Alembert (+1 on win / -1 on loss) behaves inside a 30-unit session budget across 144 coups, showing that a 50-unit pit limit and 15-unit floor generate a 48.50% drawdown-trigger rate alongside 2.06u in expected 8-deck vigorish.

Within variance-scaled horizon M304-2, a 30-unit treasury backing Contra D'Alembert Press for 144 hands (2 shoes) faces a 50-unit bet cap that evaluates 48.50% ruin exposure, 32.32% target attainment at +8u, and 19.17% time-limit expiration.

M304 ParameterContra D'Alembert (30u)2-Shoe escalation
Contra D'Alembert Ladder+1 on win / -1 on loss (10 steps)Peak 10u multiplier on M304
30u Stack Window144 hands (2 shoes)Barriers -15u / +8u
50u Ceiling & Ruin48.50% ruin vs 32.32% winDepth 5 steps (2 cap hits)
171u Handle & Hold2.06u ($52)Multiplier 1.19x (capital-bounded drift)
STEP ESCALATION & TURNOVER AUDIT

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

Horizon matrix M304-3 audits how Contra D'Alembert (+1 on win / -1 on loss) behaves inside a 30-unit session budget across 144 coups, showing that a 50-unit pit limit and 15-unit floor generate a 48.50% drawdown-trigger rate alongside 2.06u in expected 8-deck vigorish.

Within eight-deck horizon M304-4, a 30-unit treasury backing Contra D'Alembert Press for 144 hands (2 shoes) faces a 50-unit bet cap that tracks 48.50% ruin exposure, 32.32% target attainment at +8u, and 19.17% time-limit expiration.

  • Cell M304 rule: lock the -15u stop on your 30u Contra D'Alembert stack across 144 hands.
  • Matrix M304 tracks 2.06u ($52) in house hold over 171u of Contra D'Alembert action.
  • Scoreboard check M304: Big Eye Boy, Small Road, and Cockroach Pig use red for repeating symmetry (capital-bounded escalation) and blue for pattern breaks—never for Banker or Player.
Table Reality Check

Myth vs. Truth

MythBringing 30 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 171u in action, 2.06u in expected loss, and a 48.50% 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