In Atlantic City Boardwalk (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 3.9870 per-hand standard deviation under NJ Division of Gaming Enforcement (DGE) standards (SBA139).
Reference shoe scoreboard (PPBBPPBBPPBBPBTBPB) alongside SBA139 (Lucky 6 (12:1 / 20:1) in Atlantic City 8D, 416 cards).
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.
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.
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.
Pays 12 to 1 on a two-card winning Banker 6 and 20 to 1 on a three-card winning Banker 6.
Evaluated across 416 cards (8 decks) in Atlantic City Boardwalk (8-Deck).
Compared against 1.0579% Banker (5% vig) and 1.2351% Player main bets.
Per-wager volatility under NJ Division of Gaming Enforcement (DGE) rules.
New Jersey approved 8-deck full-size and midi pits.
Why does Lucky 6 (12:1 / 20:1) (12:1 (2-card 6) / 20:1 (3-card 6)) hold 16.6930% in Atlantic City Boardwalk (8-Deck) (audit SBA139, 8 decks / 416 cards)? Pays 12 to 1 (SBA139) on a two-card winning Banker (Atlantic City 8D) 6 and 20 to 1 (SBA139·Atlantic City 8D) on a three-card winning Banker 6, occurring on 5.3860% of hands with 3.9870 unit dispersion.
Finite 8-deck (416-card) enumeration in SBA139 (Atlantic City 8D) proves that pays 12 to 1 (sba139) on a two-card winning banker (atlantic city 8d) 6 and 20 to 1 (sba139·atlantic city 8d) on a three-card winning banker 6, while two-card banker 6 wins (sba139-8d) occur 1.894% of the time (atlantic city 8d) and three-card banker 6 wins (sba139-8d·atlantic city 8d) occur 3.492% of the time in 8 decks (5.3860% frequency, -16.6930% EV, 3.9870 SD).
| Wager Option | Payout Schedule | Hit Rate (8D) | House Edge / EV |
|---|---|---|---|
| SBA139 Lucky 6 (12:1 / 20:1) | 12:1 (2-card 6) / 20:1 (3-card 6) | 5.3860% | -16.6930% (3.9870 SD) |
| SBA139 Banker (Atlantic City 8D) | 0.95 to 1 | 45.8597% | -1.0579% (416c) |
| SBA139 Player (Atlantic City 8D) | 1 to 1 | 44.6247% | -1.2351% (8D) |
On New Jersey approved 8-deck (SBA139) full-size and midi pits (SBA139), derived-road colors (red for repeating Big Road structure, blue for breaking structure) have zero mathematical connection to Lucky 6 (12:1 / 20:1) (12:1 (2-card 6) / 20:1 (3-card 6), -16.6930% EV, 3.9870 SD across 416 cards).
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