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PROGRESSION SURVIVAL AUDIT · PRLS50

Paroli 3-Step Press (1-2-4) — 50-Hand Sprint (20u Bankroll) Survival & Ruin Proof

[PRLS50] 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 50-Hand Sprint (20u Bankroll) (Fast 45-minute mini-baccarat or two-thirds shoe sprint with a compact 20-unit buy-in), staking Paroli 1-2-4 on Player (1.2351% house edge) generates 79.0 units of cumulative action, an expected mathematical cost of −0.98 units, ±10.63 units of standard deviation, and a 84.1% session survival rate (15.9% bankroll ruin risk).

PRLS50 Action
79.0u
PRLS50 Expected EV
-0.98u
PRLS50 Session SD
±10.63u
PRLS50 Survival
84.1%
Engine-Verified Scoreboard · 18 Hands

Read the Board at Table Speed

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

PRLS50 (Paroli 1-2-4 · 50H / 20u) scoreboard sample. Derived-road red/blue marks never alter PRLS50 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

PRLS50 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).

PRLS50 Cumulative Action
79.0u wagered

50 hands × 1.58u average stake multiplier.

PRLS50 Expected Cost (EV)
-0.98u

Linear expectation across 79.0u action at 1.2351% Player edge.

PRLS50 Session Dispersion
±10.63u SD

Volatility envelope over 50 deals against a 20u bankroll.

PRLS50 Survival / Ruin Split
84.1% / 15.9%

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

PRLS50 STOCHASTIC HORIZON

Paroli 1-2-4 (PRLS50) Over 50 Hands With a 20-Unit Bankroll

[PRLS50-MECHANICS] Staking protocol PRLS50 applies Paroli 3-Step Press (1-2-4) (1-2-4-collect) on Player across 50 hands with a 20-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. Fast 45-minute mini-baccarat or two-thirds shoe sprint with a compact 20-unit buy-in.

[PRLS50-EXPECTATION] By linearity of expectation, PRLS50 cannot alter the 8-deck 1.2351% Player house edge: multiplying 79.0u cumulative action by −1.2351% locks in −0.98u expected drift with ±10.63u 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.

PRLS50 CheckpointPRLS50 HandsPRLS50 ActionPRLS50 EV DriftPRLS50 SD Band
PRLS50-Stage-110h [PRLS50]15.8u [PRLS50]-0.20u [PRLS50]±4.75u [PRLS50]
PRLS50-Stage-220h [PRLS50]31.6u [PRLS50]-0.39u [PRLS50]±6.72u [PRLS50]
PRLS50-Stage-330h [PRLS50]47.4u [PRLS50]-0.59u [PRLS50]±8.23u [PRLS50]
PRLS50-Stage-440h [PRLS50]63.2u [PRLS50]-0.78u [PRLS50]±9.50u [PRLS50]
PRLS50-Stage-550h [PRLS50]79.0u [PRLS50]-0.98u [PRLS50]±10.63u [PRLS50]
  • PRLS50 step sequence: 1-2-4-collect (1.58u mean bet size across 50 hands).
  • PRLS50 bankroll boundary: 20u starting stack faces 15.9% ruin risk and 84.1% survival probability.
  • PRLS50 road independence: Big Eye Boy and Small Road patterns on BBPBBPBB never change the −0.98u expected house hold.
Table Reality Check

Myth vs. Truth

MythRunning Paroli 1-2-4 over 50 hands with 20 units changes the mathematical expectation of the shoe.
TruthEvery hand in PRLS50 faces the same 1.2351% Player house edge; scaling bet sizes to 79.0u total action scales expected cost to −0.98u while reshaping variance (±10.63u 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