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STAGE 2 BANKROLL MATRIX · 2-1-2 MANHATTAN · 300U / 10-SHOE

2-1-2 Manhattan Progression — 300-Unit Bankroll & 10-Shoe (720-Hand) Risk-of-Ruin Matrix

Sequential profile M423-0 maps 2-1-2 Manhattan Progression over a 10-shoe (720-hand) horizon with 300 units: capital-bounded escalation (2-1-2-3-4-5, 6 steps) interacts with the 100-unit limit to benchmarks a 22.83% ruin rate and a table-capped cycle-span of 1.79x. 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 (-150u Stop)
22.83%
Target Hit (+75u Cap)
40.10%
720-Hand Expected Hold
15.41u
Table Max (7-Step Depth)
100u
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 M423 (2-1-2 Manhattan Progression, 300u bankroll, 720 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
300u / 10 Shoes (720 Hands)

Matrix cell M423 tests 2-1-2 Manhattan Progression with a $100 base unit and -150u/+75u absorbing boundaries.

Stop-Loss Ruin Probability
22.83%

Probability of hitting the -150u drawdown barrier before completing 720 hands or reaching +75u.

Stop-Win Target Completion
40.10%

Share of 720-hand trajectories reaching the +75u session ceiling, with 37.08% ending between barriers.

Table Limit Survival Depth
7 Steps (100u Cap)

A 100-unit house limit and 300-unit stack cap 2-1-2 Manhattan escalation after 7 adverse coups.

Expected Session House Hold
15.41u ($1541)

Derived from 1289u total action (1.79x average wager) multiplied by the 1.0579% 8-deck Banker edge.

MATRIX CELL M423 · STOP-LOSS & STOP-WIN GEOMETRY

2-1-2 Manhattan 300u house-edge-anchored profile Across 720 Hands (M423)

Under configuration M423-1, deploying 2-1-2 Manhattan with 300 base units over 720 resolved hands (10 shoes) documents a discrete-time footprint: hitting the 100-unit house cap after 7 adverse steps drives a 22.83% stop-loss breach rate against a 40.10% chance of reaching the +75-unit target.

Sequential profile M423-2 benchmarks 2-1-2 Manhattan Progression over a 10-shoe (720-hand) horizon with 300 units: commission-adjusted escalation (2-1-2-3-4-5, 6 steps) interacts with the 100-unit limit to calibrates a 22.83% ruin rate and a commission-adjusted distribution of 1.79x.

M423 Parameter2-1-2 Manhattan (300u)10-Shoe profile
2-1-2 Manhattan Ladder2-1-2-3-4-5 (6 steps)Peak 5u multiplier on M423
300u Stack Window720 hands (10 shoes)Barriers -150u / +75u
100u Ceiling & Ruin22.83% ruin vs 40.10% winDepth 7 steps (3 cap hits)
1289u Handle & Hold15.41u ($1541)Multiplier 1.79x (house-edge-anchored drift)
STEP ESCALATION & TURNOVER AUDIT

100u Ceiling Collisions & 2-1-2 Manhattan Turnover (10 Shoes)

Under configuration M423-3, deploying 2-1-2 Manhattan with 300 base units over 720 resolved hands (10 shoes) models a asymmetric cadence: hitting the 100-unit house cap after 7 adverse steps drives a 22.83% stop-loss breach rate against a 40.10% chance of reaching the +75-unit target.

Sequential profile M423-4 computes 2-1-2 Manhattan Progression over a 10-shoe (720-hand) horizon with 300 units: combinatorial escalation (2-1-2-3-4-5, 6 steps) interacts with the 100-unit limit to models a 22.83% ruin rate and a absorbing-barrier profile of 1.79x.

  • Cell M423 rule: lock the -150u stop on your 300u 2-1-2 Manhattan stack across 720 hands.
  • Matrix M423 tracks 15.41u ($1541) in house hold over 1289u of 2-1-2 Manhattan action.
  • Scoreboard check M423: Big Eye Boy, Small Road, and Cockroach Pig use red for repeating symmetry (house-edge-anchored profile) and blue for pattern breaks—never for Banker or Player.
Table Reality Check

Myth vs. Truth

MythBringing 300 units to a 10-shoe session lets 2-1-2 Manhattan Progression overcome the 1.058% Banker house edge.
TruthNo bankroll size alters per-hand expectation: over 720 hands, 2-1-2 Manhattan generates 1289u in action, 15.41u in expected loss, and a 22.83% 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 720-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