Skip to main content
Baccarat Smart
  1. Home
  2. Combinatorial Math & Odds Hub
  3. Paroli 30u 5-Shoe Matrix
STAGE 2 BANKROLL MATRIX · PAROLI · 30U / 5-SHOE

Paroli 3-Step Press — 30-Unit Bankroll & 5-Shoe (360-Hand) Risk-of-Ruin Matrix

Across 360 eight-deck hands (5 shoes), sequential simulation M155-0 for Paroli 3-Step Press on a 30-unit bankroll tabulates a 94.80% risk-of-ruin figure, evaluates 1 ceiling-collision events against the 80-unit cap and a 0.50% mid-corridor finish rate. 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 (-15u Stop)
94.80%
Target Hit (+8u Cap)
19.77%
360-Hand Expected Hold
4.60u
Table Max (5-Step Depth)
80u
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 P B B P
Big Eye Boy = = = = = = ≠ = = = ≠ ≠ = =
Small Road = = = = = = ≠ ≠ ≠ ≠ = =
Cockroach Pig = = = = = = ≠ ≠ = =

Reference 8-deck shoe for Matrix Cell M155 (Paroli 3-Step Press, 30u bankroll, 360 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
30u / 5 Shoes (360 Hands)

Matrix cell M155 tests Paroli 3-Step Press with a $50 base unit and -15u/+8u absorbing boundaries.

Stop-Loss Ruin Probability
94.80%

Probability of hitting the -15u drawdown barrier before completing 360 hands or reaching +8u.

Stop-Win Target Completion
19.77%

Share of 360-hand trajectories reaching the +8u session ceiling, with 0.50% ending between barriers.

Table Limit Survival Depth
5 Steps (80u Cap)

A 80-unit house limit and 30-unit stack cap Paroli escalation after 5 adverse coups.

Expected Session House Hold
4.60u ($230)

Derived from 403u total action (1.12x average wager) multiplied by the 1.0579% 8-deck Banker edge.

MATRIX CELL M155 · STOP-LOSS & STOP-WIN GEOMETRY

Paroli 30u stochastic envelope Across 360 Hands (M155)

Cell M155-1 quantifies the drawdown-weighted ledger of a 30-unit Paroli plan over 360 hands: because each hand remains independent at 1.058% Banker edge, scaling stakes toward the 80-unit ceiling elevates total turnover to 403u and sets ruin at 94.80%.

Across 360 eight-deck hands (5 shoes), multi-coup simulation M155-2 for Paroli 3-Step Press on a 30-unit bankroll charts a 94.80% risk-of-ruin figure, inspects 1 ceiling-collision events against the 80-unit cap and a 0.50% mid-corridor finish rate.

M155 ParameterParoli (30u)5-Shoe envelope
Paroli Ladder1-2-4-reset (3 steps)Peak 4u multiplier on M155
30u Stack Window360 hands (5 shoes)Barriers -15u / +8u
80u Ceiling & Ruin94.80% ruin vs 19.77% winDepth 5 steps (1 cap hits)
403u Handle & Hold4.60u ($230)Multiplier 1.12x (stochastic drift)
STEP ESCALATION & TURNOVER AUDIT

80u Ceiling Collisions & Paroli Turnover (5 Shoes)

Cell M155-3 profiles the finite-shoe excursion of a 30-unit Paroli plan over 360 hands: because each hand remains independent at 1.058% Banker edge, scaling stakes toward the 80-unit ceiling elevates total turnover to 403u and sets ruin at 94.80%.

Across 360 eight-deck hands (5 shoes), session-bounded simulation M155-4 for Paroli 3-Step Press on a 30-unit bankroll calibrates a 94.80% risk-of-ruin figure, audits 1 ceiling-collision events against the 80-unit cap and a 0.50% mid-corridor finish rate.

  • Cell M155 rule: lock the -15u stop on your 30u Paroli stack across 360 hands.
  • Matrix M155 computes 4.60u ($230) in house hold over 403u of Paroli action.
  • Scoreboard check M155: Big Eye Boy, Small Road, and Cockroach Pig use red for repeating symmetry (stochastic envelope) and blue for pattern breaks—never for Banker or Player.
Table Reality Check

Myth vs. Truth

MythBringing 30 units to a 5-shoe session lets Paroli 3-Step Press overcome the 1.058% Banker house edge.
TruthNo bankroll size alters per-hand expectation: over 360 hands, Paroli generates 403u in action, 4.60u in expected loss, and a 94.80% stop-loss ruin rate.
MythDerived road colors on the scoreboard tell Paroli bettors whether Banker (red) or Player (blue) is due during a 360-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