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STAGE 2 BANKROLL MATRIX · CONTRA D'ALEMBERT · 150U / 3-SHOE

Contra D'Alembert Press — 150-Unit Bankroll & 3-Shoe (216-Hand) Risk-of-Ruin Matrix

When a 150-unit stack enters a 3-shoe (216-hand) session using Contra D'Alembert Press, non-stationary model M317-0 verifies 419u in cumulative action and a 16.77% barrier-absorption probability before the 60-unit table maximum truncates the non-stationary survival-window. 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 (-75u Stop)
16.77%
Target Hit (+38u Cap)
41.18%
216-Hand Expected Hold
5.05u
Table Max (6-Step Depth)
60u
Engine-Verified Scoreboard · 18 Hands

Read the Board at Table Speed

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

Reference 8-deck shoe for Matrix Cell M317 (Contra D'Alembert Press, 150u bankroll, 216 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
150u / 3 Shoes (216 Hands)

Matrix cell M317 tests Contra D'Alembert Press with a $50 base unit and -75u/+38u absorbing boundaries.

Stop-Loss Ruin Probability
16.77%

Probability of hitting the -75u drawdown barrier before completing 216 hands or reaching +38u.

Stop-Win Target Completion
41.18%

Share of 216-hand trajectories reaching the +38u session ceiling, with 42.05% ending between barriers.

Table Limit Survival Depth
6 Steps (60u Cap)

A 60-unit house limit and 150-unit stack cap Contra D'Alembert escalation after 6 adverse coups.

Expected Session House Hold
5.05u ($253)

Derived from 419u total action (1.94x average wager) multiplied by the 1.0579% 8-deck Banker edge.

MATRIX CELL M317 · STOP-LOSS & STOP-WIN GEOMETRY

Contra D'Alembert 150u asymmetric turnover Across 216 Hands (M317)

Testing Contra D'Alembert (+1 on win / -1 on loss) at 150 units across 216 coups in cell M317-1 tabulates a 16.77% chance of striking the -75-unit stop-loss, while the 60-unit pit ceiling and 1.058% Banker edge impose 5.05u ($253) in expected erosion.

When a 150-unit stack enters a 3-shoe (216-hand) session using Contra D'Alembert Press, house-edge-anchored model M317-2 quantifies 419u in cumulative action and a 16.77% barrier-absorption probability before the 60-unit table maximum truncates the discrete-time stake-velocity.

M317 ParameterContra D'Alembert (150u)3-Shoe turnover
Contra D'Alembert Ladder+1 on win / -1 on loss (10 steps)Peak 10u multiplier on M317
150u Stack Window216 hands (3 shoes)Barriers -75u / +38u
60u Ceiling & Ruin16.77% ruin vs 41.18% winDepth 6 steps (3 cap hits)
419u Handle & Hold5.05u ($253)Multiplier 1.94x (asymmetric drift)
STEP ESCALATION & TURNOVER AUDIT

60u Ceiling Collisions & Contra D'Alembert Turnover (3 Shoes)

Testing Contra D'Alembert (+1 on win / -1 on loss) at 150 units across 216 coups in cell M317-3 charts a 16.77% chance of striking the -75-unit stop-loss, while the 60-unit pit ceiling and 1.058% Banker edge impose 5.05u ($253) in expected erosion.

When a 150-unit stack enters a 3-shoe (216-hand) session using Contra D'Alembert Press, sequential model M317-4 profiles 419u in cumulative action and a 16.77% barrier-absorption probability before the 60-unit table maximum truncates the eight-deck cycle-span.

  • Cell M317 rule: lock the -75u stop on your 150u Contra D'Alembert stack across 216 hands.
  • Matrix M317 charts 5.05u ($253) in house hold over 419u of Contra D'Alembert action.
  • Scoreboard check M317: Big Eye Boy, Small Road, and Cockroach Pig use red for repeating symmetry (asymmetric turnover) and blue for pattern breaks—never for Banker or Player.
Table Reality Check

Myth vs. Truth

MythBringing 150 units to a 3-shoe session lets Contra D'Alembert Press overcome the 1.058% Banker house edge.
TruthNo bankroll size alters per-hand expectation: over 216 hands, Contra D'Alembert generates 419u in action, 5.05u in expected loss, and a 16.77% 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 216-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

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  • 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