Skip to main content
Baccarat Smart
  1. Home
  2. Combinatorial Math Hub
  3. Lucky 6 (12:1 / 20:1): Penn 8D EV Audit
SIDE-BET AUDIT · PENN 8D · SBA147

Lucky 6 Standard Side Bet (12:1 Two-Card / 20:1 Three-Card) in Pennsylvania Regulated Pits (8-Deck) (SBA147 EV & Volatility Audit)

In Pennsylvania Regulated Pits (8-Deck) (8-deck, 416-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 5.3860% hit frequency, a 16.6930% house edge, and a 3.9860 per-hand standard deviation under Pennsylvania Gaming Control Board (PGCB) standards (SBA147).

Lucky 6 (12:1 / 20:1) EV
-16.6930%
Hit Rate (8D)
5.3860%
Std Dev (Units)
3.9860
Penn 8D Cards
416
Engine-Verified Scoreboard · 18 Hands

Read the Board at Table Speed

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

Reference shoe scoreboard (PPBBPPBPBPBBPPBBPB) alongside SBA147 (Lucky 6 (12:1 / 20:1) in Penn 8D, 416 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

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 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

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

Paytable (SBA147)
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 (Penn 8D)
5.3860%

Evaluated across 416 cards (8 decks) in Pennsylvania Regulated Pits (8-Deck).

House Edge (SBA147)
16.6930%

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

Standard Deviation
3.9860 Units

Per-wager volatility under Pennsylvania Gaming Control Board (PGCB) rules.

Floor Context
8-Deck (416 Cards)

PA statutory 8-deck Midi- and Mini-Baccarat felts.

PAYTABLE & COMBINATORIAL PROOF · SBA147

Lucky 6 (12:1 / 20:1) Paytable & Penn 8D Combinatorial Math (SBA147)

Under Pennsylvania Gaming Control Board (PGCB) rules in Pennsylvania Regulated Pits (8-Deck) (SBA147), Lucky 6 Standard Side Bet (12:1 Two-Card / 20:1 Three-Card) offers 12:1 (2-card 6) / 20:1 (3-card 6) across a 8-deck (416-card) carrier, generating 5.3860% winning tickets, a 16.6930% house edge, and 3.9860 volatility.

Comparing SBA147 (Lucky 6 (12:1 / 20:1) in Penn 8D, 416 cards) against flat Banker/Player tickets highlights the cost of 12:1 (2-card 6) / 20:1 (3-card 6) leverage: 16.6930% house edge, 5.3860% hit rate, and 3.9860 SD (two-card banker 6 wins (sba147-8d) occur 1.894% of the time (penn 8d) and three-card banker 6 wins (sba147-8d·penn 8d) occur 3.492% of the time in 8 decks).

Verification summary for SBA147: Lucky 6 (12:1 / 20:1) in Pennsylvania Regulated Pits (8-Deck) (416 cards)
Wager OptionPayout ScheduleHit Rate (8D)House Edge / EV
SBA147 Lucky 6 (12:1 / 20:1)12:1 (2-card 6) / 20:1 (3-card 6)5.3860%-16.6930% (3.9860 SD)
SBA147 Banker (Penn 8D)0.95 to 145.8597%-1.0579% (416c)
SBA147 Player (Penn 8D)1 to 144.6247%-1.2351% (8D)
SCOREBOARD & MULTI-BET DISCIPLINE · SBA147

Derived-Road Independence & Session Volatility in Penn 8D (SBA147)

Under Pennsylvania Gaming Control Board (PGCB) oversight in SBA147 (8-deck 416-card shoe), Lucky 6 (12:1 / 20:1) (12:1 (2-card 6) / 20:1 (3-card 6)) maintains a 16.6930% house edge and 3.9860 SD (5.3860% frequency) independently of Bead Plate or derived-road trajectories.

  • SBA147 (Penn 8D): Lucky 6 (12:1 / 20:1) (12:1 (2-card 6) / 20:1 (3-card 6)) across 416 cards (2A).
  • SBA147 (Lucky 6 (12:1 / 20:1) EV): 5.3860% hit rate, -16.6930% EV, 3.9860 SD in Penn 8D (2B).
  • SBA147 (8D baseline): 1.0579% Banker & 1.2351% Player vs 16.6930% on Lucky 6 (12:1 / 20:1) (2C).
  • SBA147 (Penn 8D roads): red/blue marks log Big Road symmetry, never Lucky 6 (12:1 / 20:1) (5.3860%) timing (2D).
Table Reality Check

Myth vs. Truth

MythA cluster of red or blue marks on Big Eye Boy or Small Road in Penn 8D 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 SBA147 (416 cards), Lucky 6 (12:1 / 20:1) carries a fixed 5.3860% hit rate and 16.6930% 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