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STAGE 2 BANKROLL MATRIX · PAROLI · 50U / 2-SHOE

Paroli 3-Step Press — 50-Unit Bankroll & 2-Shoe (144-Hand) Risk-of-Ruin Matrix

Sequential profile M159-0 dissects Paroli 3-Step Press over a 2-shoe (144-hand) horizon with 50 units: discrete-time escalation (1-2-4-reset, 3 steps) interacts with the 50-unit limit to measures a 26.23% ruin rate and a commission-adjusted exposure of 1.20x. 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)
26.23%
Target Hit (+13u Cap)
38.95%
144-Hand Expected Hold
1.98u
Table Max (5-Step Depth)
50u
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 M159 (Paroli 3-Step Press, 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

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
50u / 2 Shoes (144 Hands)

Matrix cell M159 tests Paroli 3-Step Press with a $25 base unit and -25u/+13u absorbing boundaries.

Stop-Loss Ruin Probability
26.23%

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

Stop-Win Target Completion
38.95%

Share of 144-hand trajectories reaching the +13u session ceiling, with 34.82% ending between barriers.

Table Limit Survival Depth
5 Steps (50u Cap)

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

Expected Session House Hold
1.98u ($50)

Derived from 173u total action (1.20x average wager) multiplied by the 1.0579% 8-deck Banker edge.

MATRIX CELL M159 · STOP-LOSS & STOP-WIN GEOMETRY

Paroli 50u table-capped cycle-span Across 144 Hands (M159)

Under configuration M159-1, deploying Paroli with 50 base units over 144 resolved hands (2 shoes) evaluates a commission-adjusted cadence: hitting the 50-unit house cap after 5 adverse steps drives a 26.23% stop-loss breach rate against a 38.95% chance of reaching the +13-unit target.

Sequential profile M159-2 audits Paroli 3-Step Press over a 2-shoe (144-hand) horizon with 50 units: asymmetric escalation (1-2-4-reset, 3 steps) interacts with the 50-unit limit to quantifies a 26.23% ruin rate and a absorbing-barrier footprint of 1.20x.

M159 ParameterParoli (50u)2-Shoe cycle-span
Paroli Ladder1-2-4-reset (3 steps)Peak 4u multiplier on M159
50u Stack Window144 hands (2 shoes)Barriers -25u / +13u
50u Ceiling & Ruin26.23% ruin vs 38.95% winDepth 5 steps (1 cap hits)
173u Handle & Hold1.98u ($50)Multiplier 1.20x (table-capped drift)
STEP ESCALATION & TURNOVER AUDIT

50u Ceiling Collisions & Paroli Turnover (2 Shoes)

Under configuration M159-3, deploying Paroli with 50 base units over 144 resolved hands (2 shoes) tracks a combinatorial escalation: hitting the 50-unit house cap after 5 adverse steps drives a 26.23% stop-loss breach rate against a 38.95% chance of reaching the +13-unit target.

Sequential profile M159-4 measures Paroli 3-Step Press over a 2-shoe (144-hand) horizon with 50 units: non-stationary escalation (1-2-4-reset, 3 steps) interacts with the 50-unit limit to maps a 26.23% ruin rate and a session-bounded turnover of 1.20x.

  • Cell M159 rule: lock the -25u stop on your 50u Paroli stack across 144 hands.
  • Matrix M159 profiles 1.98u ($50) in house hold over 173u of Paroli action.
  • Scoreboard check M159: Big Eye Boy, Small Road, and Cockroach Pig use red for repeating symmetry (table-capped cycle-span) 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 Paroli 3-Step Press overcome the 1.058% Banker house edge.
TruthNo bankroll size alters per-hand expectation: over 144 hands, Paroli generates 173u in action, 1.98u in expected loss, and a 26.23% 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