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STAGE 2 BANKROLL MATRIX · OSCAR'S GRIND · 40U / 10-SHOE

Oscar's Grind 1-Unit Cycle — 40-Unit Bankroll & 10-Shoe (720-Hand) Risk-of-Ruin Matrix

Case M383-0 quantifies the variance-scaled Oscar's Grind 1-Unit Cycle (hold on loss / +1 on win) across a 40-unit bankroll and a 720-hand (10-shoe) window, where a 100-unit table ceiling and 20-unit stop-loss produce a 94.80% ruin rate while maps an average stake survival-window of 1.27x and 11.41u ($1141) in theoretical house-edge toll. 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 (-20u Stop)
94.80%
Target Hit (+10u Cap)
19.94%
720-Hand Expected Hold
11.41u
Table Max (6-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 P B B B P P B B B P P B
Big Eye Boy = ≠ ≠ = = = = ≠ ≠ = ≠ ≠ = =
Small Road = ≠ ≠ = ≠ ≠ ≠ ≠ ≠ ≠ ≠
Cockroach Pig = = ≠ ≠ = = ≠ ≠

Reference 8-deck shoe for Matrix Cell M383 (Oscar's Grind 1-Unit Cycle, 40u 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

This bead is at Row 3. Column 1 stopped at Row 2, one row above → blue (≠).

  1. Column 2 goes down to Row 3, so use Rule 2: look 1 column 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.

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

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
40u / 10 Shoes (720 Hands)

Matrix cell M383 tests Oscar's Grind 1-Unit Cycle with a $100 base unit and -20u/+10u absorbing boundaries.

Stop-Loss Ruin Probability
94.80%

Probability of hitting the -20u drawdown barrier before completing 720 hands or reaching +10u.

Stop-Win Target Completion
19.94%

Share of 720-hand trajectories reaching the +10u session ceiling, with 0.50% ending between barriers.

Table Limit Survival Depth
6 Steps (100u Cap)

A 100-unit house limit and 40-unit stack cap Oscar's Grind escalation after 6 adverse coups.

Expected Session House Hold
11.41u ($1141)

Derived from 914u total action (1.27x average wager) multiplied by the 1.0579% 8-deck Banker edge.

MATRIX CELL M383 · STOP-LOSS & STOP-WIN GEOMETRY

Oscar's Grind 40u stochastic distribution Across 720 Hands (M383)

In step-indexed benchmark M383-1, running Oscar's Grind across 720 deals with 40 units and a 100-unit maximum wager charts 914u of total handle, 11.41u in commission-weighted drift, and a 94.80% probability of exhausting the 20-unit drawdown buffer.

Case M383-2 profiles the eight-deck Oscar's Grind 1-Unit Cycle (hold on loss / +1 on win) across a 40-unit bankroll and a 720-hand (10-shoe) window, where a 100-unit table ceiling and 20-unit stop-loss produce a 94.80% ruin rate while charts an average stake progression-curve of 1.27x and 11.41u ($1141) in theoretical house-edge toll.

M383 ParameterOscar's Grind (40u)10-Shoe distribution
Oscar's Grind Ladderhold on loss / +1 on win (12 steps)Peak 8u multiplier on M383
40u Stack Window720 hands (10 shoes)Barriers -20u / +10u
100u Ceiling & Ruin94.80% ruin vs 19.94% winDepth 6 steps (4 cap hits)
914u Handle & Hold11.41u ($1141)Multiplier 1.27x (stochastic drift)
STEP ESCALATION & TURNOVER AUDIT

100u Ceiling Collisions & Oscar's Grind Turnover (10 Shoes)

In absorbing-barrier benchmark M383-3, running Oscar's Grind across 720 deals with 40 units and a 100-unit maximum wager calibrates 914u of total handle, 11.41u in commission-weighted drift, and a 94.80% probability of exhausting the 20-unit drawdown buffer.

Case M383-4 dissects the bankroll-constrained Oscar's Grind 1-Unit Cycle (hold on loss / +1 on win) across a 40-unit bankroll and a 720-hand (10-shoe) window, where a 100-unit table ceiling and 20-unit stop-loss produce a 94.80% ruin rate while documents an average stake ledger of 1.27x and 11.41u ($1141) in theoretical house-edge toll.

  • Cell M383 rule: lock the -20u stop on your 40u Oscar's Grind stack across 720 hands.
  • Matrix M383 verifies 11.41u ($1141) in house hold over 914u of Oscar's Grind action.
  • Scoreboard check M383: Big Eye Boy, Small Road, and Cockroach Pig use red for repeating symmetry (stochastic distribution) and blue for pattern breaks—never for Banker or Player.
Table Reality Check

Myth vs. Truth

MythBringing 40 units to a 10-shoe session lets Oscar's Grind 1-Unit Cycle overcome the 1.058% Banker house edge.
TruthNo bankroll size alters per-hand expectation: over 720 hands, Oscar's Grind generates 914u in action, 11.41u in expected loss, and a 94.80% stop-loss ruin rate.
MythDerived road colors on the scoreboard tell Oscar's Grind 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