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STAGE 2 BANKROLL MATRIX · 2-1-2 MANHATTAN · 50U / 2-SHOE

2-1-2 Manhattan Progression — 50-Unit Bankroll & 2-Shoe (144-Hand) Risk-of-Ruin Matrix

Sequential profile M409-0 quantifies 2-1-2 Manhattan Progression over a 2-shoe (144-hand) horizon with 50 units: sequential escalation (2-1-2-3-4-5, 6 steps) interacts with the 50-unit limit to maps a 27.39% ruin rate and a stochastic excursion of 1.26x. 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)
27.39%
Target Hit (+13u Cap)
38.63%
144-Hand Expected Hold
2.16u
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 B P B P
Big Eye Boy = = = = = = ≠ = = = ≠ ≠ ≠ =
Small Road = = = = ≠ ≠ = = ≠ ≠ = ≠
Cockroach Pig = = ≠ ≠ ≠ = ≠ ≠ = =

Reference 8-deck shoe for Matrix Cell M409 (2-1-2 Manhattan Progression, 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 M409 tests 2-1-2 Manhattan Progression with a $25 base unit and -25u/+13u absorbing boundaries.

Stop-Loss Ruin Probability
27.39%

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

Stop-Win Target Completion
38.63%

Share of 144-hand trajectories reaching the +13u session ceiling, with 33.98% ending between barriers.

Table Limit Survival Depth
6 Steps (50u Cap)

A 50-unit house limit and 50-unit stack cap 2-1-2 Manhattan escalation after 6 adverse coups.

Expected Session House Hold
2.16u ($54)

Derived from 181u total action (1.26x average wager) multiplied by the 1.0579% 8-deck Banker edge.

MATRIX CELL M409 · STOP-LOSS & STOP-WIN GEOMETRY

2-1-2 Manhattan 50u variance-scaled turnover Across 144 Hands (M409)

Under configuration M409-1, deploying 2-1-2 Manhattan with 50 base units over 144 resolved hands (2 shoes) charts a drawdown-weighted escalation: hitting the 50-unit house cap after 6 adverse steps drives a 27.39% stop-loss breach rate against a 38.63% chance of reaching the +13-unit target.

Sequential profile M409-2 profiles 2-1-2 Manhattan Progression over a 2-shoe (144-hand) horizon with 50 units: multi-coup escalation (2-1-2-3-4-5, 6 steps) interacts with the 50-unit limit to charts a 27.39% ruin rate and a combinatorial survival-window of 1.26x.

M409 Parameter2-1-2 Manhattan (50u)2-Shoe turnover
2-1-2 Manhattan Ladder2-1-2-3-4-5 (6 steps)Peak 5u multiplier on M409
50u Stack Window144 hands (2 shoes)Barriers -25u / +13u
50u Ceiling & Ruin27.39% ruin vs 38.63% winDepth 6 steps (1 cap hits)
181u Handle & Hold2.16u ($54)Multiplier 1.26x (variance-scaled drift)
STEP ESCALATION & TURNOVER AUDIT

50u Ceiling Collisions & 2-1-2 Manhattan Turnover (2 Shoes)

Under configuration M409-3, deploying 2-1-2 Manhattan with 50 base units over 144 resolved hands (2 shoes) calibrates a finite-shoe exposure: hitting the 50-unit house cap after 6 adverse steps drives a 27.39% stop-loss breach rate against a 38.63% chance of reaching the +13-unit target.

Sequential profile M409-4 dissects 2-1-2 Manhattan Progression over a 2-shoe (144-hand) horizon with 50 units: session-bounded escalation (2-1-2-3-4-5, 6 steps) interacts with the 50-unit limit to documents a 27.39% ruin rate and a capital-bounded stake-velocity of 1.26x.

  • Cell M409 rule: lock the -25u stop on your 50u 2-1-2 Manhattan stack across 144 hands.
  • Matrix M409 calibrates 2.16u ($54) in house hold over 181u of 2-1-2 Manhattan action.
  • Scoreboard check M409: Big Eye Boy, Small Road, and Cockroach Pig use red for repeating symmetry (variance-scaled turnover) 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 2-1-2 Manhattan Progression overcome the 1.058% Banker house edge.
TruthNo bankroll size alters per-hand expectation: over 144 hands, 2-1-2 Manhattan generates 181u in action, 2.16u in expected loss, and a 27.39% stop-loss ruin rate.
MythDerived road colors on the scoreboard tell 2-1-2 Manhattan 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