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STAGE 2 BANKROLL MATRIX · GRAND MARTINGALE · 50U / 2-SHOE

Grand Martingale (2x+1) — 50-Unit Bankroll & 2-Shoe (144-Hand) Risk-of-Ruin Matrix

Sequential profile M134-0 charts Grand Martingale (2x+1) over a 2-shoe (144-hand) horizon with 50 units: combinatorial escalation (1-3-7-15-31-63-127, 7 steps) interacts with the 50-unit limit to computes a 75.08% ruin rate and a sequential dispersion of 2.68x. 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)
75.08%
Target Hit (+13u Cap)
25.27%
144-Hand Expected Hold
6.86u
Table Max (6-Step Depth)
50u
Engine-Verified Scoreboard · 18 Hands

Read the Board at Table Speed

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

Reference 8-deck shoe for Matrix Cell M134 (Grand Martingale (2x+1), 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 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
50u / 2 Shoes (144 Hands)

Matrix cell M134 tests Grand Martingale (2x+1) with a $25 base unit and -25u/+13u absorbing boundaries.

Stop-Loss Ruin Probability
75.08%

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

Stop-Win Target Completion
25.27%

Share of 144-hand trajectories reaching the +13u session ceiling, with 0.50% ending between barriers.

Table Limit Survival Depth
6 Steps (50u Cap)

A 50-unit house limit and 50-unit stack cap Grand Martingale escalation after 6 adverse coups.

Expected Session House Hold
6.86u ($172)

Derived from 386u total action (2.68x average wager) multiplied by the 1.0579% 8-deck Banker edge.

MATRIX CELL M134 · STOP-LOSS & STOP-WIN GEOMETRY

Grand Martingale 50u sequential trajectory Across 144 Hands (M134)

Under configuration M134-1, deploying Grand Martingale with 50 base units over 144 resolved hands (2 shoes) profiles a non-stationary progression-curve: hitting the 50-unit house cap after 6 adverse steps drives a 75.08% stop-loss breach rate against a 25.27% chance of reaching the +13-unit target.

Sequential profile M134-2 calibrates Grand Martingale (2x+1) over a 2-shoe (144-hand) horizon with 50 units: table-capped escalation (1-3-7-15-31-63-127, 7 steps) interacts with the 50-unit limit to evaluates a 75.08% ruin rate and a non-stationary exposure of 2.68x.

M134 ParameterGrand Martingale (50u)2-Shoe trajectory
Grand Martingale Ladder1-3-7-15-31-63-127 (7 steps)Peak 127u multiplier on M134
50u Stack Window144 hands (2 shoes)Barriers -25u / +13u
50u Ceiling & Ruin75.08% ruin vs 25.27% winDepth 6 steps (26 cap hits)
386u Handle & Hold6.86u ($172)Multiplier 2.68x (sequential drift)
STEP ESCALATION & TURNOVER AUDIT

50u Ceiling Collisions & Grand Martingale Turnover (2 Shoes)

Under configuration M134-3, deploying Grand Martingale with 50 base units over 144 resolved hands (2 shoes) dissects a house-edge-anchored ledger: hitting the 50-unit house cap after 6 adverse steps drives a 75.08% stop-loss breach rate against a 25.27% chance of reaching the +13-unit target.

Sequential profile M134-4 evaluates Grand Martingale (2x+1) over a 2-shoe (144-hand) horizon with 50 units: stochastic escalation (1-3-7-15-31-63-127, 7 steps) interacts with the 50-unit limit to inspects a 75.08% ruin rate and a discrete-time footprint of 2.68x.

  • Cell M134 rule: lock the -25u stop on your 50u Grand Martingale stack across 144 hands.
  • Matrix M134 tracks 6.86u ($172) in house hold over 386u of Grand Martingale action.
  • Scoreboard check M134: Big Eye Boy, Small Road, and Cockroach Pig use red for repeating symmetry (sequential trajectory) 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 Grand Martingale (2x+1) overcome the 1.058% Banker house edge.
TruthNo bankroll size alters per-hand expectation: over 144 hands, Grand Martingale generates 386u in action, 6.86u in expected loss, and a 75.08% stop-loss ruin rate.
MythDerived road colors on the scoreboard tell Grand Martingale 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