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STAGE 2 BANKROLL MATRIX · PAROLI · 300U / 1-SHOE

Paroli 3-Step Press — 300-Unit Bankroll & 1-Shoe (72-Hand) Risk-of-Ruin Matrix

For a 300-unit roll spanning 72 hands (1 shoes), Paroli 3-Step Press (1-2-4-reset) profiles a step-indexed distribution under matrix M171-0, where the 40-unit table roof and -150u/+75u barriers yield 2.40% ruin versus 44.99% 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 (-150u Stop)
2.40%
Target Hit (+75u Cap)
44.99%
72-Hand Expected Hold
1.33u
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 B P P B B P B B P B P
Big Eye Boy = = = = = = ≠ = = = ≠ ≠ ≠ =
Small Road = = = = ≠ ≠ = = ≠ ≠ = ≠
Cockroach Pig = = ≠ ≠ ≠ = ≠ ≠ = =

Reference 8-deck shoe for Matrix Cell M171 (Paroli 3-Step Press, 300u 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 3 has 2 beads. Column 1 has 2 beads. Same depth → red (=).

  1. Column 4 starts, so use Rule 1: compare Column 3 with Column 1, 2 columns further back.
  2. Column 3 has 2 beads. Column 1 has 2 beads. Same depth → red (=).

Common table reading watchout: Comparing the wrong columns. Compare Column 3, the one that just finished, with Column 1.

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
300u / 1 Shoes (72 Hands)

Matrix cell M171 tests Paroli 3-Step Press with a $25 base unit and -150u/+75u absorbing boundaries.

Stop-Loss Ruin Probability
2.40%

Probability of hitting the -150u drawdown barrier before completing 72 hands or reaching +75u.

Stop-Win Target Completion
44.99%

Share of 72-hand trajectories reaching the +75u session ceiling, with 52.61% ending between barriers.

Table Limit Survival Depth
5 Steps (40u Cap)

A 40-unit house limit and 300-unit stack cap Paroli escalation after 5 adverse coups.

Expected Session House Hold
1.33u ($33)

Derived from 116u total action (1.61x average wager) multiplied by the 1.0579% 8-deck Banker edge.

MATRIX CELL M171 · STOP-LOSS & STOP-WIN GEOMETRY

Paroli 300u capital-bounded survival-window Across 72 Hands (M171)

Combinatorial ledger M171-1 calibrates Paroli (1-2-4-reset) at 300 units and 72 hands (1 shoes), proving that a 40-unit table ceiling and 1.61x average bet multiplier yield 2.40% ruin probability and 1.33u in theoretical house hold.

For a 300-unit roll spanning 72 hands (1 shoes), Paroli 3-Step Press (1-2-4-reset) dissects a absorbing-barrier envelope under matrix M171-2, where the 40-unit table roof and -150u/+75u barriers yield 2.40% ruin versus 44.99% upside completion.

M171 ParameterParoli (300u)1-Shoe survival-window
Paroli Ladder1-2-4-reset (3 steps)Peak 4u multiplier on M171
300u Stack Window72 hands (1 shoes)Barriers -150u / +75u
40u Ceiling & Ruin2.40% ruin vs 44.99% winDepth 5 steps (1 cap hits)
116u Handle & Hold1.33u ($33)Multiplier 1.61x (capital-bounded drift)
STEP ESCALATION & TURNOVER AUDIT

40u Ceiling Collisions & Paroli Turnover (1 Shoes)

Combinatorial ledger M171-3 evaluates Paroli (1-2-4-reset) at 300 units and 72 hands (1 shoes), proving that a 40-unit table ceiling and 1.61x average bet multiplier yield 2.40% ruin probability and 1.33u in theoretical house hold.

For a 300-unit roll spanning 72 hands (1 shoes), Paroli 3-Step Press (1-2-4-reset) audits a capital-bounded trajectory under matrix M171-4, where the 40-unit table roof and -150u/+75u barriers yield 2.40% ruin versus 44.99% upside completion.

  • Cell M171 rule: lock the -150u stop on your 300u Paroli stack across 72 hands.
  • Matrix M171 calibrates 1.33u ($33) in house hold over 116u of Paroli action.
  • Scoreboard check M171: Big Eye Boy, Small Road, and Cockroach Pig use red for repeating symmetry (capital-bounded survival-window) and blue for pattern breaks—never for Banker or Player.
Table Reality Check

Myth vs. Truth

MythBringing 300 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 116u in action, 1.33u in expected loss, and a 2.40% 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