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STAGE 2 STRESS TEST · PAROLI VS FLAT BETTING

Paroli 3-Step Press vs. Flat 1-Unit Baseline — Single-Alternating Chop under 5% Banker Commission (72-Hand Stress Test)

Across 72 resolved and tied deals under 5% Comm Chop (1.0579% edge), eight-deck comparison S129-0 verifies Paroli 3-Step Press against Flat 1-Unit Baseline on a 60-unit bankroll, showing that 2-hand clusters and a 50-unit ceiling drive 14.46% vs 5.84% stop-loss breaches along the commission-adjusted decay-rate. Because every 8-deck coup is statistically independent under 5% Banker Commission (0.95:1) (1.0579% edge), progression rules alter drawdown speed and table-cap collisions without changing per-hand expectation.

Paroli Ruin Rate
14.46%
Flat Betting Ruin Rate
5.84%
Peak Trough (2-Run)
-19u
5% Comm Chop House Edge
1.0579%
Engine-Verified Scoreboard · 18 Hands

Read the Board at Table Speed

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

Reference 8-deck shoe for Stress Cell S129 (Paroli vs Flat Betting, Single-Alternating Chop under 5% Banker Commission). Big Road shows Banker (red) and Player (blue); derived roads track 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

Matchup & Shoe Profile
Paroli vs Flat Betting (5% Comm Chop)

Stress cell S129 compares 1-2-4-reset against 1-1-1-1 constant unit over 72 hands.

Head-to-Head Ruin Rate
14.46% vs 5.84%

Probability of exhausting the 60-unit bankroll under a 50-unit house bet limit.

Expected Session Hold
1.10u vs 0.79u

Theoretical erosion under 5% Banker Commission (0.95:1) (1.0579% house edge) across 72 coups.

Peak Drawdown Excursion
-19u vs -12u

Deepest unit trough triggered by a 2-hand run inside the chop shoe profile.

Tie Stalls & Commission Toll
7 Ties · 0.53u Drag

Reflects 9.52% tie frequency (7 pushes) and 0.53u in vigorish friction.

STRESS CELL S129 · CHOP SHOE PROFILE

Paroli vs. Flat Betting discrete-time threshold (72 Hands · S129)

Pairing a 60-unit bankroll against 72 hands of 5% Comm Chop (1.0579% edge) in cell S129-1 benchmarks Paroli at 14.46% ruin and -19u peak envelope, whereas Flat Betting records 5.84% ruin and -12u below the 50-unit ceiling.

Across 72 resolved and tied deals under 5% Comm Chop (1.0579% edge), step-indexed comparison S129-2 tracks Paroli 3-Step Press against Flat 1-Unit Baseline on a 60-unit bankroll, showing that 2-hand clusters and a 50-unit ceiling drive 14.46% vs 5.84% stop-loss breaches along the combinatorial distribution.

S129 thresholdParoliFlat Betting
Paroli / Flat Betting Rule1-2-4-reset1-1-1-1 constant unit
72-Hand Ruin (60u)14.46%5.84%
5% Comm Chop Hold (1.0579%)1.10u0.79u
2-Run Trough (50u Cap)-19u-12u
VIGORISH & TABLE CEILING INTERACTION

5% Comm Chop Vigorish (0.53u) & 9.52% Tie Push Audit (S129)

Pairing a 60-unit bankroll against 72 hands of 5% Comm Chop (1.0579% edge) in cell S129-3 calibrates Paroli at 14.46% ruin and -19u peak trajectory, whereas Flat Betting records 5.84% ruin and -12u below the 50-unit ceiling.

Across 72 resolved and tied deals under 5% Comm Chop (1.0579% edge), variance-scaled comparison S129-4 tabulates Paroli 3-Step Press against Flat 1-Unit Baseline on a 60-unit bankroll, showing that 2-hand clusters and a 50-unit ceiling drive 14.46% vs 5.84% stop-loss breaches along the table-capped survival-window.

  • Trial S129: set a 60u stop before running Paroli vs Flat Betting over 72 hands.
  • Scenario S129 models 0.53u in commission drag and 7 tie pushes (9.52% Tie rate).
  • Board rule S129: derived road red marks discrete-time column repetition and blue marks a structural break (threshold), never Banker or Player.
Table Reality Check

Myth vs. Truth

MythSwitching from Flat Betting to Paroli during Single-Alternating Chop under 5% Banker Commission neutralizes the 1.0579% house edge.
TruthOver 72 hands on a 60-unit stack, Paroli carries 1.10u expected loss (14.46% ruin) vs 0.79u (5.84% ruin) for Flat Betting.
MythDuring a 2-hand chop sequence, red marks on Big Eye Boy or Small Road indicate Banker is favored next.
TruthDerived road colors never represent Banker or Player: red denotes repeatingBig Road structure and blue denotes breaking structure.
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