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STAGE 2 BANKROLL MATRIX · 2-1-2 MANHATTAN · 20U / 3-SHOE

2-1-2 Manhattan Progression — 20-Unit Bankroll & 3-Shoe (216-Hand) Risk-of-Ruin Matrix

Sequential profile M402-0 dissects 2-1-2 Manhattan Progression over a 3-shoe (216-hand) horizon with 20 units: combinatorial escalation (2-1-2-3-4-5, 6 steps) interacts with the 60-unit limit to measures a 94.80% ruin rate and a sequential absorption-curve of 1.10x. 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 (-10u Stop)
94.80%
Target Hit (+6u Cap)
16.68%
216-Hand Expected Hold
2.85u
Table Max (5-Step Depth)
60u
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 M402 (2-1-2 Manhattan Progression, 20u 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
20u / 3 Shoes (216 Hands)

Matrix cell M402 tests 2-1-2 Manhattan Progression with a $50 base unit and -10u/+6u absorbing boundaries.

Stop-Loss Ruin Probability
94.80%

Probability of hitting the -10u drawdown barrier before completing 216 hands or reaching +6u.

Stop-Win Target Completion
16.68%

Share of 216-hand trajectories reaching the +6u session ceiling, with 0.50% ending between barriers.

Table Limit Survival Depth
5 Steps (60u Cap)

A 60-unit house limit and 20-unit stack cap 2-1-2 Manhattan escalation after 5 adverse coups.

Expected Session House Hold
2.85u ($143)

Derived from 238u total action (1.10x average wager) multiplied by the 1.0579% 8-deck Banker edge.

MATRIX CELL M402 · STOP-LOSS & STOP-WIN GEOMETRY

2-1-2 Manhattan 20u stochastic boundary Across 216 Hands (M402)

Under configuration M402-1, deploying 2-1-2 Manhattan with 20 base units over 216 resolved hands (3 shoes) evaluates a non-stationary exposure: hitting the 60-unit house cap after 5 adverse steps drives a 94.80% stop-loss breach rate against a 16.68% chance of reaching the +6-unit target.

Sequential profile M402-2 audits 2-1-2 Manhattan Progression over a 3-shoe (216-hand) horizon with 20 units: table-capped escalation (2-1-2-3-4-5, 6 steps) interacts with the 60-unit limit to quantifies a 94.80% ruin rate and a non-stationary trajectory of 1.10x.

M402 Parameter2-1-2 Manhattan (20u)3-Shoe boundary
2-1-2 Manhattan Ladder2-1-2-3-4-5 (6 steps)Peak 5u multiplier on M402
20u Stack Window216 hands (3 shoes)Barriers -10u / +6u
60u Ceiling & Ruin94.80% ruin vs 16.68% winDepth 5 steps (1 cap hits)
238u Handle & Hold2.85u ($143)Multiplier 1.10x (stochastic drift)
STEP ESCALATION & TURNOVER AUDIT

60u Ceiling Collisions & 2-1-2 Manhattan Turnover (3 Shoes)

Under configuration M402-3, deploying 2-1-2 Manhattan with 20 base units over 216 resolved hands (3 shoes) tracks a house-edge-anchored profile: hitting the 60-unit house cap after 5 adverse steps drives a 94.80% stop-loss breach rate against a 16.68% chance of reaching the +6-unit target.

Sequential profile M402-4 measures 2-1-2 Manhattan Progression over a 3-shoe (216-hand) horizon with 20 units: stochastic escalation (2-1-2-3-4-5, 6 steps) interacts with the 60-unit limit to maps a 94.80% ruin rate and a discrete-time dispersion of 1.10x.

  • Cell M402 rule: lock the -10u stop on your 20u 2-1-2 Manhattan stack across 216 hands.
  • Matrix M402 charts 2.85u ($143) in house hold over 238u of 2-1-2 Manhattan action.
  • Scoreboard check M402: Big Eye Boy, Small Road, and Cockroach Pig use red for repeating symmetry (stochastic boundary) and blue for pattern breaks—never for Banker or Player.
Table Reality Check

Myth vs. Truth

MythBringing 20 units to a 3-shoe session lets 2-1-2 Manhattan Progression overcome the 1.058% Banker house edge.
TruthNo bankroll size alters per-hand expectation: over 216 hands, 2-1-2 Manhattan generates 238u in action, 2.85u in expected loss, and a 94.80% 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 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

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