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STAGE 2 BANKROLL MATRIX · PAROLI · 500U / 2-SHOE

Paroli 3-Step Press — 500-Unit Bankroll & 2-Shoe (144-Hand) Risk-of-Ruin Matrix

When a 500-unit stack enters a 2-shoe (144-hand) session using Paroli 3-Step Press, sequential model M174-0 documents 232u in cumulative action and a 3.66% barrier-absorption probability before the 50-unit table maximum truncates the stochastic ledger. 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 (-250u Stop)
3.66%
Target Hit (+125u Cap)
45.87%
144-Hand Expected Hold
2.65u
Table Max (5-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 B P P P B B B P P B B P
Big Eye Boy = ≠ ≠ = = = = ≠ ≠ = ≠ ≠ = =
Small Road = ≠ ≠ = ≠ ≠ ≠ ≠ ≠ ≠ ≠
Cockroach Pig = = ≠ ≠ = = ≠ ≠

Reference 8-deck shoe for Matrix Cell M174 (Paroli 3-Step Press, 500u 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

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
500u / 2 Shoes (144 Hands)

Matrix cell M174 tests Paroli 3-Step Press with a $25 base unit and -250u/+125u absorbing boundaries.

Stop-Loss Ruin Probability
3.66%

Probability of hitting the -250u drawdown barrier before completing 144 hands or reaching +125u.

Stop-Win Target Completion
45.87%

Share of 144-hand trajectories reaching the +125u session ceiling, with 50.47% ending between barriers.

Table Limit Survival Depth
5 Steps (50u Cap)

A 50-unit house limit and 500-unit stack cap Paroli escalation after 5 adverse coups.

Expected Session House Hold
2.65u ($66)

Derived from 232u total action (1.61x average wager) multiplied by the 1.0579% 8-deck Banker edge.

MATRIX CELL M174 · STOP-LOSS & STOP-WIN GEOMETRY

Paroli 500u stochastic dispersion Across 144 Hands (M174)

Testing Paroli (1-2-4-reset) at 500 units across 144 coups in cell M174-1 benchmarks a 3.66% chance of striking the -250-unit stop-loss, while the 50-unit pit ceiling and 1.058% Banker edge impose 2.65u ($66) in expected erosion.

When a 500-unit stack enters a 2-shoe (144-hand) session using Paroli 3-Step Press, multi-coup model M174-2 models 232u in cumulative action and a 3.66% barrier-absorption probability before the 50-unit table maximum truncates the combinatorial volatility-band.

M174 ParameterParoli (500u)2-Shoe dispersion
Paroli Ladder1-2-4-reset (3 steps)Peak 4u multiplier on M174
500u Stack Window144 hands (2 shoes)Barriers -250u / +125u
50u Ceiling & Ruin3.66% ruin vs 45.87% winDepth 5 steps (1 cap hits)
232u Handle & Hold2.65u ($66)Multiplier 1.61x (stochastic drift)
STEP ESCALATION & TURNOVER AUDIT

50u Ceiling Collisions & Paroli Turnover (2 Shoes)

Testing Paroli (1-2-4-reset) at 500 units across 144 coups in cell M174-3 computes a 3.66% chance of striking the -250-unit stop-loss, while the 50-unit pit ceiling and 1.058% Banker edge impose 2.65u ($66) in expected erosion.

When a 500-unit stack enters a 2-shoe (144-hand) session using Paroli 3-Step Press, session-bounded model M174-4 inspects 232u in cumulative action and a 3.66% barrier-absorption probability before the 50-unit table maximum truncates the capital-bounded absorption-curve.

  • Cell M174 rule: lock the -250u stop on your 500u Paroli stack across 144 hands.
  • Matrix M174 tabulates 2.65u ($66) in house hold over 232u of Paroli action.
  • Scoreboard check M174: Big Eye Boy, Small Road, and Cockroach Pig use red for repeating symmetry (stochastic dispersion) and blue for pattern breaks—never for Banker or Player.
Table Reality Check

Myth vs. Truth

MythBringing 500 units to a 2-shoe session lets Paroli 3-Step Press overcome the 1.058% Banker house edge.
TruthNo bankroll size alters per-hand expectation: over 144 hands, Paroli generates 232u in action, 2.65u in expected loss, and a 3.66% stop-loss ruin rate.
MythDerived road colors on the scoreboard tell Paroli 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