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STAGE 2 BANKROLL MATRIX · PAROLI · 100U / 2-SHOE

Paroli 3-Step Press — 100-Unit Bankroll & 2-Shoe (144-Hand) Risk-of-Ruin Matrix

For a 100-unit roll spanning 144 hands (2 shoes), Paroli 3-Step Press (1-2-4-reset) audits a drawdown-weighted envelope under matrix M164-0, where the 50-unit table roof and -50u/+25u barriers yield 12.74% ruin versus 43.33% upside completion. 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 (-50u Stop)
12.74%
Target Hit (+25u Cap)
43.33%
144-Hand Expected Hold
2.31u
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 P P P P B B B B P B P B
Big Eye Boy = = = ≠ = ≠ = = = = = ≠ ≠ =
Small Road = ≠ = ≠ = ≠ = ≠ = ≠ ≠ ≠
Cockroach Pig = ≠ = ≠ = = ≠ ≠

Reference 8-deck shoe for Matrix Cell M164 (Paroli 3-Step Press, 100u 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

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
100u / 2 Shoes (144 Hands)

Matrix cell M164 tests Paroli 3-Step Press with a $25 base unit and -50u/+25u absorbing boundaries.

Stop-Loss Ruin Probability
12.74%

Probability of hitting the -50u drawdown barrier before completing 144 hands or reaching +25u.

Stop-Win Target Completion
43.33%

Share of 144-hand trajectories reaching the +25u session ceiling, with 43.93% ending between barriers.

Table Limit Survival Depth
5 Steps (50u Cap)

A 50-unit house limit and 100-unit stack cap Paroli escalation after 5 adverse coups.

Expected Session House Hold
2.31u ($58)

Derived from 202u total action (1.40x average wager) multiplied by the 1.0579% 8-deck Banker edge.

MATRIX CELL M164 · STOP-LOSS & STOP-WIN GEOMETRY

Paroli 100u session-bounded cadence Across 144 Hands (M164)

Combinatorial ledger M164-1 tracks Paroli (1-2-4-reset) at 100 units and 144 hands (2 shoes), proving that a 50-unit table ceiling and 1.40x average bet multiplier yield 12.74% ruin probability and 2.31u in theoretical house hold.

For a 100-unit roll spanning 144 hands (2 shoes), Paroli 3-Step Press (1-2-4-reset) measures a finite-shoe trajectory under matrix M164-2, where the 50-unit table roof and -50u/+25u barriers yield 12.74% ruin versus 43.33% upside completion.

M164 ParameterParoli (100u)2-Shoe cadence
Paroli Ladder1-2-4-reset (3 steps)Peak 4u multiplier on M164
100u Stack Window144 hands (2 shoes)Barriers -50u / +25u
50u Ceiling & Ruin12.74% ruin vs 43.33% winDepth 5 steps (1 cap hits)
202u Handle & Hold2.31u ($58)Multiplier 1.40x (session-bounded drift)
STEP ESCALATION & TURNOVER AUDIT

50u Ceiling Collisions & Paroli Turnover (2 Shoes)

Combinatorial ledger M164-3 maps Paroli (1-2-4-reset) at 100 units and 144 hands (2 shoes), proving that a 50-unit table ceiling and 1.40x average bet multiplier yield 12.74% ruin probability and 2.31u in theoretical house hold.

For a 100-unit roll spanning 144 hands (2 shoes), Paroli 3-Step Press (1-2-4-reset) documents a variance-scaled cycle-span under matrix M164-4, where the 50-unit table roof and -50u/+25u barriers yield 12.74% ruin versus 43.33% upside completion.

  • Cell M164 rule: lock the -50u stop on your 100u Paroli stack across 144 hands.
  • Matrix M164 charts 2.31u ($58) in house hold over 202u of Paroli action.
  • Scoreboard check M164: Big Eye Boy, Small Road, and Cockroach Pig use red for repeating symmetry (session-bounded cadence) and blue for pattern breaks—never for Banker or Player.
Table Reality Check

Myth vs. Truth

MythBringing 100 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 202u in action, 2.31u in expected loss, and a 12.74% 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

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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