Skip to main content
Baccarat Smart
  1. Home
  2. Combinatorial Math Hub
  3. Lucky 6 (12:1 / 20:1): Monte Carlo 6D EV Audit
SIDE-BET AUDIT · MONTE CARLO 6D · SBA145

Lucky 6 Standard Side Bet (12:1 Two-Card / 20:1 Three-Card) in Monte Carlo & European Casinos (6-Deck) (SBA145 EV & Volatility Audit)

In Monte Carlo & European Casinos (6-Deck) (6-deck, 312-card shoe), Lucky 6 Standard Side Bet (12:1 Two-Card / 20:1 Three-Card) pays 12:1 (2-card 6) / 20:1 (3-card 6) with a 5.3429% hit frequency, a 17.0730% house edge, and a 4.0020 per-hand standard deviation under European Casino Supervision standards (SBA145).

Lucky 6 (12:1 / 20:1) EV
-17.0730%
Hit Rate (6D)
5.3429%
Std Dev (Units)
4.0020
Monte Carlo 6D Cards
312
Engine-Verified Scoreboard · 18 Hands

Read the Board at Table Speed

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

Reference shoe scoreboard (PPBBBPPPBBPBTBPBPP) alongside SBA145 (Lucky 6 (12:1 / 20:1) in Monte Carlo 6D, 312 cards).

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

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

Common table reading watchout: Thinking "no bead at this row" means blue. It is blue only when Column 1 stopped exactly one row above this bead.

Small Road Mark #2

This bead is at Row 3. Column 1 stopped at Row 2, one row above → blue (≠).

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

Common table reading watchout: Thinking "no bead at this row" means blue. It is blue only when Column 1 stopped exactly one row above this bead.

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

Paytable (SBA145)
12:1 (2-card 6) / 20:1 (3-card 6)

Pays 12 to 1 on a two-card winning Banker 6 and 20 to 1 on a three-card winning Banker 6.

Hit Frequency (Monte Carlo 6D)
5.3429%

Evaluated across 312 cards (6 decks) in Monte Carlo & European Casinos (6-Deck).

House Edge (SBA145)
17.0730%

Compared against 1.0579% Banker (5% vig) and 1.2351% Player main bets.

Standard Deviation
4.0020 Units

Per-wager volatility under European Casino Supervision rules.

Floor Context
6-Deck (312 Cards)

Continental six-deck punto banco salon carriers.

PAYTABLE & COMBINATORIAL PROOF · SBA145

Lucky 6 (12:1 / 20:1) Paytable & Monte Carlo 6D Combinatorial Math (SBA145)

Quantitative filing SBA145 pairs Lucky 6 Standard Side Bet (12:1 Two-Card / 20:1 Three-Card) (12:1 (2-card 6) / 20:1 (3-card 6)) with Monte Carlo & European Casinos (6-Deck) (6 decks, 312 cards): two-card banker 6 wins (sba145-6d) occur 1.894% of the time (monte carlo 6d) and three-card banker 6 wins (sba145-6d·monte carlo 6d) occur 3.492% of the time in 8 decks, fixing expected loss at 17.0730% (5.3429% hit rate, 4.0020 SD).

Why does Lucky 6 (12:1 / 20:1) carry 4.0020 standard deviation in SBA145 (Monte Carlo 6D, 312 cards)? Paying 12:1 (2-card 6) / 20:1 (3-card 6) on a 5.3429% event (17.0730% edge) concentrates return into rare multi-unit payouts (two-card banker 6 wins (sba145-6d) occur 1.894% of the time (monte carlo 6d) and three-card banker 6 wins (sba145-6d·monte carlo 6d) occur 3.492% of the time in 8 decks).

Verification summary for SBA145: Lucky 6 (12:1 / 20:1) in Monte Carlo & European Casinos (6-Deck) (312 cards)
Wager OptionPayout ScheduleHit Rate (6D)House Edge / EV
SBA145 Lucky 6 (12:1 / 20:1)12:1 (2-card 6) / 20:1 (3-card 6)5.3429%-17.0730% (4.0020 SD)
SBA145 Banker (Monte Carlo 6D)0.95 to 145.8597%-1.0579% (312c)
SBA145 Player (Monte Carlo 6D)1 to 144.6247%-1.2351% (6D)
SCOREBOARD & MULTI-BET DISCIPLINE · SBA145

Derived-Road Independence & Session Volatility in Monte Carlo 6D (SBA145)

Mathematical transparency in SBA145 (Monte Carlo & European Casinos (6-Deck), 6-deck 312-card shoe) pairs exact derived-road decoding with verified side-bet parameters: Lucky 6 (12:1 / 20:1) pays 12:1 (2-card 6) / 20:1 (3-card 6) at 5.3429% frequency (-17.0730% EV, 4.0020 SD).

  • SBA145 (Monte Carlo 6D): Lucky 6 (12:1 / 20:1) (12:1 (2-card 6) / 20:1 (3-card 6)) across 312 cards (5A).
  • SBA145 (Lucky 6 (12:1 / 20:1) EV): 5.3429% hit rate, -17.0730% EV, 4.0020 SD in Monte Carlo 6D (5B).
  • SBA145 (6D baseline): 1.0579% Banker & 1.2351% Player vs 17.0730% on Lucky 6 (12:1 / 20:1) (5C).
  • SBA145 (Monte Carlo 6D roads): red/blue marks log Big Road symmetry, never Lucky 6 (12:1 / 20:1) (5.3429%) timing (5D).
Table Reality Check

Myth vs. Truth

MythA cluster of red or blue marks on Big Eye Boy or Small Road in Monte Carlo 6D signals that Lucky 6 (12:1 / 20:1) (12:1 (2-card 6) / 20:1 (3-card 6)) is about to hit.
TruthDerived-road red and blue marks only record whether Big Road columns repeat or break depth; in SBA145 (312 cards), Lucky 6 (12:1 / 20:1) carries a fixed 5.3429% hit rate and 17.0730% house edge.
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