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STAGE 2 BANKROLL MATRIX · PAROLI · 75U / 1-SHOE

Paroli 3-Step Press — 75-Unit Bankroll & 1-Shoe (72-Hand) Risk-of-Ruin Matrix

Within eight-deck horizon M161-0, a 75-unit treasury backing Paroli 3-Step Press for 72 hands (1 shoes) faces a 40-unit bet cap that verifies 9.98% ruin exposure, 42.87% target attainment at +19u, and 47.15% time-limit expiration. 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 (-38u Stop)
9.98%
Target Hit (+19u Cap)
42.87%
72-Hand Expected Hold
1.07u
Table Max (5-Step Depth)
40u
Engine-Verified Scoreboard · 18 Hands

Read the Board at Table Speed

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

Reference 8-deck shoe for Matrix Cell M161 (Paroli 3-Step Press, 75u bankroll, 72 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
75u / 1 Shoes (72 Hands)

Matrix cell M161 tests Paroli 3-Step Press with a $25 base unit and -38u/+19u absorbing boundaries.

Stop-Loss Ruin Probability
9.98%

Probability of hitting the -38u drawdown barrier before completing 72 hands or reaching +19u.

Stop-Win Target Completion
42.87%

Share of 72-hand trajectories reaching the +19u session ceiling, with 47.15% ending between barriers.

Table Limit Survival Depth
5 Steps (40u Cap)

A 40-unit house limit and 75-unit stack cap Paroli escalation after 5 adverse coups.

Expected Session House Hold
1.07u ($27)

Derived from 94u total action (1.30x average wager) multiplied by the 1.0579% 8-deck Banker edge.

MATRIX CELL M161 · STOP-LOSS & STOP-WIN GEOMETRY

Paroli 75u non-stationary capital-runway Across 72 Hands (M161)

Horizon matrix M161-1 tabulates how Paroli (1-2-4-reset) behaves inside a 75-unit session budget across 72 coups, showing that a 40-unit pit limit and 38-unit floor generate a 9.98% drawdown-trigger rate alongside 1.07u in expected 8-deck vigorish.

Within bankroll-constrained horizon M161-2, a 75-unit treasury backing Paroli 3-Step Press for 72 hands (1 shoes) faces a 40-unit bet cap that quantifies 9.98% ruin exposure, 42.87% target attainment at +19u, and 47.15% time-limit expiration.

M161 ParameterParoli (75u)1-Shoe capital-runway
Paroli Ladder1-2-4-reset (3 steps)Peak 4u multiplier on M161
75u Stack Window72 hands (1 shoes)Barriers -38u / +19u
40u Ceiling & Ruin9.98% ruin vs 42.87% winDepth 5 steps (1 cap hits)
94u Handle & Hold1.07u ($27)Multiplier 1.30x (non-stationary drift)
STEP ESCALATION & TURNOVER AUDIT

40u Ceiling Collisions & Paroli Turnover (1 Shoes)

Horizon matrix M161-3 charts how Paroli (1-2-4-reset) behaves inside a 75-unit session budget across 72 coups, showing that a 40-unit pit limit and 38-unit floor generate a 9.98% drawdown-trigger rate alongside 1.07u in expected 8-deck vigorish.

Within discrete-time horizon M161-4, a 75-unit treasury backing Paroli 3-Step Press for 72 hands (1 shoes) faces a 40-unit bet cap that profiles 9.98% ruin exposure, 42.87% target attainment at +19u, and 47.15% time-limit expiration.

  • Cell M161 rule: lock the -38u stop on your 75u Paroli stack across 72 hands.
  • Matrix M161 evaluates 1.07u ($27) in house hold over 94u of Paroli action.
  • Scoreboard check M161: Big Eye Boy, Small Road, and Cockroach Pig use red for repeating symmetry (non-stationary capital-runway) and blue for pattern breaks—never for Banker or Player.
Table Reality Check

Myth vs. Truth

MythBringing 75 units to a 1-shoe session lets Paroli 3-Step Press overcome the 1.058% Banker house edge.
TruthNo bankroll size alters per-hand expectation: over 72 hands, Paroli generates 94u in action, 1.07u in expected loss, and a 9.98% stop-loss ruin rate.
MythDerived road colors on the scoreboard tell Paroli bettors whether Banker (red) or Player (blue) is due during a 72-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