Skip to main content
Baccarat Smart
  1. Home
  2. Combinatorial Math Hub
  3. Paroli 1-2-4 (80H / 40u)
PROGRESSION SURVIVAL AUDIT · PRLS80

Paroli 3-Step Press (1-2-4) — 80-Hand Single Shoe (40u Bankroll) Survival & Ruin Proof

[PRLS80] 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 80-Hand Single Shoe (40u Bankroll) (Complete 8-deck live shoe from burn card to cut card backed by a 40-unit session stack), staking Paroli 1-2-4 on Player (1.2351% house edge) generates 126.4 units of cumulative action, an expected mathematical cost of −1.56 units, ±13.44 units of standard deviation, and a 89.1% session survival rate (10.9% bankroll ruin risk).

PRLS80 Action
126.4u
PRLS80 Expected EV
-1.56u
PRLS80 Session SD
±13.44u
PRLS80 Survival
89.1%
Engine-Verified Scoreboard · 18 Hands

Read the Board at Table Speed

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

PRLS80 (Paroli 1-2-4 · 80H / 40u) scoreboard sample. Derived-road red/blue marks never alter PRLS80 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

Column 3 has 1 bead. Column 2 has 1 bead. Same depth → red (=).

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

Common table reading watchout: Comparing the wrong columns. Compare Column 3, the one that just finished, with Column 2.

Small Road Mark #2

Column 4 has 1 bead. Column 2 has 1 bead. Same depth → red (=).

  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 1 bead. Same depth → red (=).

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 1 bead. Same depth → red (=).

  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 1 bead. Same depth → red (=).

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

PRLS80 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).

PRLS80 Cumulative Action
126.4u wagered

80 hands × 1.58u average stake multiplier.

PRLS80 Expected Cost (EV)
-1.56u

Linear expectation across 126.4u action at 1.2351% Player edge.

PRLS80 Session Dispersion
±13.44u SD

Volatility envelope over 80 deals against a 40u bankroll.

PRLS80 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.

PRLS80 STOCHASTIC HORIZON

Paroli 1-2-4 (PRLS80) Over 80 Hands With a 40-Unit Bankroll

[PRLS80-MECHANICS] Staking protocol PRLS80 applies Paroli 3-Step Press (1-2-4) (1-2-4-collect) on Player across 80 hands with a 40-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. Complete 8-deck live shoe from burn card to cut card backed by a 40-unit session stack.

[PRLS80-EXPECTATION] By linearity of expectation, PRLS80 cannot alter the 8-deck 1.2351% Player house edge: multiplying 126.4u cumulative action by −1.2351% locks in −1.56u expected drift with ±13.44u 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.

PRLS80 CheckpointPRLS80 HandsPRLS80 ActionPRLS80 EV DriftPRLS80 SD Band
PRLS80-Stage-116h [PRLS80]25.3u [PRLS80]-0.31u [PRLS80]±6.01u [PRLS80]
PRLS80-Stage-232h [PRLS80]50.6u [PRLS80]-0.62u [PRLS80]±8.50u [PRLS80]
PRLS80-Stage-348h [PRLS80]75.8u [PRLS80]-0.94u [PRLS80]±10.41u [PRLS80]
PRLS80-Stage-464h [PRLS80]101.1u [PRLS80]-1.25u [PRLS80]±12.02u [PRLS80]
PRLS80-Stage-580h [PRLS80]126.4u [PRLS80]-1.56u [PRLS80]±13.44u [PRLS80]
  • PRLS80 step sequence: 1-2-4-collect (1.58u mean bet size across 80 hands).
  • PRLS80 bankroll boundary: 40u starting stack faces 10.9% ruin risk and 89.1% survival probability.
  • PRLS80 road independence: Big Eye Boy and Small Road patterns on PBPBPBPP never change the −1.56u expected house hold.
Table Reality Check

Myth vs. Truth

MythRunning Paroli 1-2-4 over 80 hands with 40 units changes the mathematical expectation of the shoe.
TruthEvery hand in PRLS80 faces the same 1.2351% Player house edge; scaling bet sizes to 126.4u total action scales expected cost to −1.56u while reshaping variance (±13.44u 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