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PROGRESSION SURVIVAL AUDIT · PRLS250

Paroli 3-Step Press (1-2-4) — 250-Hand Weekend Horizon (100u Bankroll) Survival & Ruin Proof

[PRLS250] Doubles the stake after each win for up to three consecutive wins (1u, 2u, 4u) before locking in 7u net gain and resetting to 1u. Across 250-Hand Weekend Horizon (100u Bankroll) (Three-plus shoe weekend trip horizon backed by a full 100-unit session bankroll), staking Paroli 1-2-4 on Player (1.2351% house edge) generates 395.0 units of cumulative action, an expected mathematical cost of −4.88 units, ±23.76 units of standard deviation, and a 89.1% session survival rate (10.9% bankroll ruin risk).

PRLS250 Action
395.0u
PRLS250 Expected EV
-4.88u
PRLS250 Session SD
±23.76u
PRLS250 Survival
89.1%
Engine-Verified Scoreboard · 18 Hands

Read the Board at Table Speed

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

PRLS250 (Paroli 1-2-4 · 250H / 100u) scoreboard sample. Derived-road red/blue marks never alter PRLS250 progression expectation.

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 2. Column 2 stopped at Row 1, one row above → blue (≠).

  1. Column 3 goes down to Row 2, so use Rule 2: look 1 column back, at Column 2.
  2. Column 2 stopped at Row 1, one row above → blue (≠).

Common table reading watchout: Thinking "no bead at this row" means blue. It is blue only when Column 2 stopped exactly one row above this bead.

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

This bead is at Row 2. Column 2 stopped at Row 1, one row above → blue (≠).

  1. Column 5 goes down to Row 2, so use Rule 2: look 3 columns back, at Column 2.
  2. Column 2 stopped at Row 1, one row above → blue (≠).

Common table reading watchout: Thinking "no bead at this row" means blue. It is blue only when Column 2 stopped exactly one row above this bead.

Verified Reference Data

Key Facts & Table Specifications

PRLS250 Staking Sequence
1-2-4-collect

Doubles the stake after each win for up to three consecutive wins (1u, 2u, 4u) before locking in 7u net gain and resetting to 1u (Positive Progression Press).

PRLS250 Cumulative Action
395.0u wagered

250 hands × 1.58u average stake multiplier.

PRLS250 Expected Cost (EV)
-4.88u

Linear expectation across 395.0u action at 1.2351% Player edge.

PRLS250 Session Dispersion
±23.76u SD

Volatility envelope over 250 deals against a 100u bankroll.

PRLS250 Survival / Ruin Split
89.1% / 10.9%

Protects starting capital by risking only 1 fresh unit per cycle while converting 12.0% three-win clusters into +7u bursts.

PRLS250 STOCHASTIC HORIZON

Paroli 1-2-4 (PRLS250) Over 250 Hands With a 100-Unit Bankroll

[PRLS250-MECHANICS] Staking protocol PRLS250 applies Paroli 3-Step Press (1-2-4) (1-2-4-collect) on Player across 250 hands with a 100-unit stop-loss. Doubles the stake after each win for up to three consecutive wins (1u, 2u, 4u) before locking in 7u net gain and resetting to 1u. Three-plus shoe weekend trip horizon backed by a full 100-unit session bankroll.

[PRLS250-EXPECTATION] By linearity of expectation, PRLS250 cannot alter the 8-deck 1.2351% Player house edge: multiplying 395.0u cumulative action by −1.2351% locks in −4.88u expected drift with ±23.76u standard deviation. Protects starting capital by risking only 1 fresh unit per cycle while converting 12.0% three-win clusters into +7u bursts. Remember that baccarat is an 18+ / 21+ game of chance; review /legal/responsible-gambling before setting session limits.

PRLS250 CheckpointPRLS250 HandsPRLS250 ActionPRLS250 EV DriftPRLS250 SD Band
PRLS250-Stage-150h [PRLS250]79.0u [PRLS250]-0.98u [PRLS250]±10.63u [PRLS250]
PRLS250-Stage-2100h [PRLS250]158.0u [PRLS250]-1.95u [PRLS250]±15.03u [PRLS250]
PRLS250-Stage-3150h [PRLS250]237.0u [PRLS250]-2.93u [PRLS250]±18.41u [PRLS250]
PRLS250-Stage-4200h [PRLS250]316.0u [PRLS250]-3.90u [PRLS250]±21.25u [PRLS250]
PRLS250-Stage-5250h [PRLS250]395.0u [PRLS250]-4.88u [PRLS250]±23.76u [PRLS250]
  • PRLS250 step sequence: 1-2-4-collect (1.58u mean bet size across 250 hands).
  • PRLS250 bankroll boundary: 100u starting stack faces 10.9% ruin risk and 89.1% survival probability.
  • PRLS250 road independence: Big Eye Boy and Small Road patterns on PPBPPBPP never change the −4.88u expected house hold.
Table Reality Check

Myth vs. Truth

MythRunning Paroli 1-2-4 over 250 hands with 100 units changes the mathematical expectation of the shoe.
TruthEvery hand in PRLS250 faces the same 1.2351% Player house edge; scaling bet sizes to 395.0u total action scales expected cost to −4.88u while reshaping variance (±23.76u SD).
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