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STAGE 2 BANKROLL MATRIX · 1-2-3-5 · 20U / 10-SHOE

1-2-3-5 Four-Step Ladder — 20-Unit Bankroll & 10-Shoe (720-Hand) Risk-of-Ruin Matrix

When a 20-unit stack enters a 10-shoe (720-hand) session using 1-2-3-5 Four-Step Ladder, house-edge-anchored model M203-0 benchmarks 792u in cumulative action and a 94.80% barrier-absorption probability before the 100-unit table maximum truncates the eight-deck drawdown-slope. 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)
17.09%
720-Hand Expected Hold
9.30u
Table Max (5-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 P B P B B P P B B P B
Big Eye Boy = = ≠ = = = ≠ ≠ = = ≠ = = =
Small Road ≠ ≠ = = ≠ ≠ ≠ ≠ ≠ ≠ = =
Cockroach Pig ≠ ≠ = ≠ ≠ ≠ ≠ = ≠ ≠ =

Reference 8-deck shoe for Matrix Cell M203 (1-2-3-5 Four-Step Ladder, 20u 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 4 has 1 bead. Column 2 has 2 beads. Different depth → blue (≠).

  1. Column 5 starts, so use Rule 1: compare Column 4 with Column 2, 2 columns further back.
  2. Column 4 has 1 bead. Column 2 has 2 beads. Different depth → blue (≠).

Common table reading watchout: Comparing the wrong columns. Compare Column 4, the one that just finished, with Column 2.

Cockroach Pig Mark #2

Column 5 has 1 bead. Column 2 has 2 beads. Different depth → blue (≠).

  1. Column 6 starts, so use Rule 1: compare Column 5 with Column 2, 3 columns further back.
  2. Column 5 has 1 bead. Column 2 has 2 beads. Different depth → blue (≠).

Common table reading watchout: Comparing the wrong columns. Compare Column 5, the one that just finished, with Column 2.

Verified Reference Data

Key Facts & Table Specifications

Session Bankroll & Horizon
20u / 10 Shoes (720 Hands)

Matrix cell M203 tests 1-2-3-5 Four-Step Ladder with a $100 base unit and -10u/+6u absorbing boundaries.

Stop-Loss Ruin Probability
94.80%

Probability of hitting the -10u drawdown barrier before completing 720 hands or reaching +6u.

Stop-Win Target Completion
17.09%

Share of 720-hand trajectories reaching the +6u session ceiling, with 0.50% ending between barriers.

Table Limit Survival Depth
5 Steps (100u Cap)

A 100-unit house limit and 20-unit stack cap 1-2-3-5 escalation after 5 adverse coups.

Expected Session House Hold
9.30u ($930)

Derived from 792u total action (1.10x average wager) multiplied by the 1.0579% 8-deck Banker edge.

MATRIX CELL M203 · STOP-LOSS & STOP-WIN GEOMETRY

1-2-3-5 20u asymmetric trajectory Across 720 Hands (M203)

Testing 1-2-3-5 (1-2-3-5) at 20 units across 720 coups in cell M203-1 models a 94.80% chance of striking the -10-unit stop-loss, while the 100-unit pit ceiling and 1.058% Banker edge impose 9.30u ($930) in expected erosion.

When a 20-unit stack enters a 10-shoe (720-hand) session using 1-2-3-5 Four-Step Ladder, sequential model M203-2 computes 792u in cumulative action and a 94.80% barrier-absorption probability before the 100-unit table maximum truncates the finite-shoe capital-runway.

M203 Parameter1-2-3-5 (20u)10-Shoe trajectory
1-2-3-5 Ladder1-2-3-5 (4 steps)Peak 5u multiplier on M203
20u Stack Window720 hands (10 shoes)Barriers -10u / +6u
100u Ceiling & Ruin94.80% ruin vs 17.09% winDepth 5 steps (3 cap hits)
792u Handle & Hold9.30u ($930)Multiplier 1.10x (asymmetric drift)
STEP ESCALATION & TURNOVER AUDIT

100u Ceiling Collisions & 1-2-3-5 Turnover (10 Shoes)

Testing 1-2-3-5 (1-2-3-5) at 20 units across 720 coups in cell M203-3 inspects a 94.80% chance of striking the -10-unit stop-loss, while the 100-unit pit ceiling and 1.058% Banker edge impose 9.30u ($930) in expected erosion.

When a 20-unit stack enters a 10-shoe (720-hand) session using 1-2-3-5 Four-Step Ladder, multi-coup model M203-4 verifies 792u in cumulative action and a 94.80% barrier-absorption probability before the 100-unit table maximum truncates the stochastic envelope.

  • Cell M203 rule: lock the -10u stop on your 20u 1-2-3-5 stack across 720 hands.
  • Matrix M203 quantifies 9.30u ($930) in house hold over 792u of 1-2-3-5 action.
  • Scoreboard check M203: Big Eye Boy, Small Road, and Cockroach Pig use red for repeating symmetry (asymmetric trajectory) and blue for pattern breaks—never for Banker or Player.
Table Reality Check

Myth vs. Truth

MythBringing 20 units to a 10-shoe session lets 1-2-3-5 Four-Step Ladder overcome the 1.058% Banker house edge.
TruthNo bankroll size alters per-hand expectation: over 720 hands, 1-2-3-5 generates 792u in action, 9.30u in expected loss, and a 94.80% stop-loss ruin rate.
MythDerived road colors on the scoreboard tell 1-2-3-5 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