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STAGE 2 BANKROLL MATRIX · CONTRA D'ALEMBERT · 50U / 2-SHOE

Contra D'Alembert Press — 50-Unit Bankroll & 2-Shoe (144-Hand) Risk-of-Ruin Matrix

Sequential profile M309-0 evaluates Contra D'Alembert Press over a 2-shoe (144-hand) horizon with 50 units: commission-adjusted escalation (+1 on win / -1 on loss, 10 steps) interacts with the 50-unit limit to models a 30.95% ruin rate and a absorbing-barrier envelope of 1.31x. 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 (-25u Stop)
30.95%
Target Hit (+13u Cap)
37.63%
144-Hand Expected Hold
2.28u
Table Max (6-Step Depth)
50u
Engine-Verified Scoreboard · 18 Hands

Read the Board at Table Speed

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

Reference 8-deck shoe for Matrix Cell M309 (Contra D'Alembert Press, 50u 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
50u / 2 Shoes (144 Hands)

Matrix cell M309 tests Contra D'Alembert Press with a $25 base unit and -25u/+13u absorbing boundaries.

Stop-Loss Ruin Probability
30.95%

Probability of hitting the -25u drawdown barrier before completing 144 hands or reaching +13u.

Stop-Win Target Completion
37.63%

Share of 144-hand trajectories reaching the +13u session ceiling, with 31.42% ending between barriers.

Table Limit Survival Depth
6 Steps (50u Cap)

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

Expected Session House Hold
2.28u ($57)

Derived from 189u total action (1.31x average wager) multiplied by the 1.0579% 8-deck Banker edge.

MATRIX CELL M309 · STOP-LOSS & STOP-WIN GEOMETRY

Contra D'Alembert 50u house-edge-anchored survival-window Across 144 Hands (M309)

Under configuration M309-1, deploying Contra D'Alembert with 50 base units over 144 resolved hands (2 shoes) audits a asymmetric turnover: hitting the 50-unit house cap after 6 adverse steps drives a 30.95% stop-loss breach rate against a 37.63% chance of reaching the +13-unit target.

Sequential profile M309-2 tracks Contra D'Alembert Press over a 2-shoe (144-hand) horizon with 50 units: combinatorial escalation (+1 on win / -1 on loss, 10 steps) interacts with the 50-unit limit to dissects a 30.95% ruin rate and a session-bounded boundary of 1.31x.

M309 ParameterContra D'Alembert (50u)2-Shoe survival-window
Contra D'Alembert Ladder+1 on win / -1 on loss (10 steps)Peak 10u multiplier on M309
50u Stack Window144 hands (2 shoes)Barriers -25u / +13u
50u Ceiling & Ruin30.95% ruin vs 37.63% winDepth 6 steps (2 cap hits)
189u Handle & Hold2.28u ($57)Multiplier 1.31x (house-edge-anchored drift)
STEP ESCALATION & TURNOVER AUDIT

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

Under configuration M309-3, deploying Contra D'Alembert with 50 base units over 144 resolved hands (2 shoes) measures a non-stationary decay-rate: hitting the 50-unit house cap after 6 adverse steps drives a 30.95% stop-loss breach rate against a 37.63% chance of reaching the +13-unit target.

Sequential profile M309-4 maps Contra D'Alembert Press over a 2-shoe (144-hand) horizon with 50 units: table-capped escalation (+1 on win / -1 on loss, 10 steps) interacts with the 50-unit limit to computes a 30.95% ruin rate and a sequential escalation of 1.31x.

  • Cell M309 rule: lock the -25u stop on your 50u Contra D'Alembert stack across 144 hands.
  • Matrix M309 audits 2.28u ($57) in house hold over 189u of Contra D'Alembert action.
  • Scoreboard check M309: Big Eye Boy, Small Road, and Cockroach Pig use red for repeating symmetry (house-edge-anchored survival-window) and blue for pattern breaks—never for Banker or Player.
Table Reality Check

Myth vs. Truth

MythBringing 50 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 189u in action, 2.28u in expected loss, and a 30.95% 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