Skip to main content
Baccarat Smart
  1. Home
  2. Combinatorial Math & Odds Hub
  3. 1-3-2-6 150u 1-Shoe Matrix
STAGE 2 BANKROLL MATRIX · 1-3-2-6 · 150U / 1-SHOE

1-3-2-6 Four-Stage Sequence — 150-Unit Bankroll & 1-Shoe (72-Hand) Risk-of-Ruin Matrix

Sequential profile M191-0 calibrates 1-3-2-6 Four-Stage Sequence over a 1-shoe (72-hand) horizon with 150 units: asymmetric escalation (1-3-2-6, 4 steps) interacts with the 40-unit limit to dissects a 6.91% ruin rate and a session-bounded distribution of 1.85x. 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 (-75u Stop)
6.91%
Target Hit (+38u Cap)
43.53%
72-Hand Expected Hold
1.58u
Table Max (6-Step Depth)
40u
Engine-Verified Scoreboard · 18 Hands

Read the Board at Table Speed

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

Reference 8-deck shoe for Matrix Cell M191 (1-3-2-6 Four-Stage Sequence, 150u bankroll, 72 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
150u / 1 Shoes (72 Hands)

Matrix cell M191 tests 1-3-2-6 Four-Stage Sequence with a $25 base unit and -75u/+38u absorbing boundaries.

Stop-Loss Ruin Probability
6.91%

Probability of hitting the -75u drawdown barrier before completing 72 hands or reaching +38u.

Stop-Win Target Completion
43.53%

Share of 72-hand trajectories reaching the +38u session ceiling, with 49.56% ending between barriers.

Table Limit Survival Depth
6 Steps (40u Cap)

A 40-unit house limit and 150-unit stack cap 1-3-2-6 escalation after 6 adverse coups.

Expected Session House Hold
1.58u ($40)

Derived from 133u total action (1.85x average wager) multiplied by the 1.0579% 8-deck Banker edge.

MATRIX CELL M191 · STOP-LOSS & STOP-WIN GEOMETRY

1-3-2-6 150u sequential exposure Across 72 Hands (M191)

Under configuration M191-1, deploying 1-3-2-6 with 150 base units over 72 resolved hands (1 shoes) dissects a combinatorial distribution: hitting the 40-unit house cap after 6 adverse steps drives a 6.91% stop-loss breach rate against a 43.53% chance of reaching the +38-unit target.

Sequential profile M191-2 evaluates 1-3-2-6 Four-Stage Sequence over a 1-shoe (72-hand) horizon with 150 units: non-stationary escalation (1-3-2-6, 4 steps) interacts with the 40-unit limit to computes a 6.91% ruin rate and a sequential profile of 1.85x.

M191 Parameter1-3-2-6 (150u)1-Shoe exposure
1-3-2-6 Ladder1-3-2-6 (4 steps)Peak 6u multiplier on M191
150u Stack Window72 hands (1 shoes)Barriers -75u / +38u
40u Ceiling & Ruin6.91% ruin vs 43.53% winDepth 6 steps (1 cap hits)
133u Handle & Hold1.58u ($40)Multiplier 1.85x (sequential drift)
STEP ESCALATION & TURNOVER AUDIT

40u Ceiling Collisions & 1-3-2-6 Turnover (1 Shoes)

Under configuration M191-3, deploying 1-3-2-6 with 150 base units over 72 resolved hands (1 shoes) audits a table-capped envelope: hitting the 40-unit house cap after 6 adverse steps drives a 6.91% stop-loss breach rate against a 43.53% chance of reaching the +38-unit target.

Sequential profile M191-4 tracks 1-3-2-6 Four-Stage Sequence over a 1-shoe (72-hand) horizon with 150 units: house-edge-anchored escalation (1-3-2-6, 4 steps) interacts with the 40-unit limit to evaluates a 6.91% ruin rate and a non-stationary cadence of 1.85x.

  • Cell M191 rule: lock the -75u stop on your 150u 1-3-2-6 stack across 72 hands.
  • Matrix M191 tabulates 1.58u ($40) in house hold over 133u of 1-3-2-6 action.
  • Scoreboard check M191: Big Eye Boy, Small Road, and Cockroach Pig use red for repeating symmetry (sequential exposure) and blue for pattern breaks—never for Banker or Player.
Table Reality Check

Myth vs. Truth

MythBringing 150 units to a 1-shoe session lets 1-3-2-6 Four-Stage Sequence overcome the 1.058% Banker house edge.
TruthNo bankroll size alters per-hand expectation: over 72 hands, 1-3-2-6 generates 133u in action, 1.58u in expected loss, and a 6.91% stop-loss ruin rate.
MythDerived road colors on the scoreboard tell 1-3-2-6 bettors whether Banker (red) or Player (blue) is due during a 72-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