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SPECIALTY SIDE-BET AUDIT · LK63

Lucky 6 (3-Card Banker 6) Audit: 20 to 1 Paytable, 3.4921% Hit Rate & 16.6780% Edge

[LK63] Pays 20 to 1 when Banker draws a third card and wins with a three-card total of 6 (2-card Banker 6 pays 12 to 1). In a 8-deck (416-card) shoe, Lucky 6 (3-Card Banker 6) achieves a 3.4921% exact hit frequency at 20 to 1, producing a 16.6780% house edge and 3.450u per-unit standard deviation compared to 1.0579% on standard 5%-commission Banker.

LK63 Payout
20 to 1
LK63 Hit Rate
3.4921%
LK63 House Edge
16.6780%
LK63 Volatility
3.450u
Engine-Verified Scoreboard · 18 Hands

Read the Board at Table Speed

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

LK63 (Lucky 6 (3-Card Banker 6)) scoreboard sample. Derived-road red/blue marks track Big Road column symmetry, never LK63 side-bet triggers.

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 4 has 1 bead. Column 2 has 2 beads. Different depth → blue (≠).

  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 2 beads. Different depth → blue (≠).

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 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

LK63 Paytable Return
20 to 1

Pays 20 to 1 when Banker draws a third card and wins with a three-card total of 6 (2-card Banker 6 pays 12 to 1).

LK63 Exact Hit Rate
3.4921%

Enumerated across 8-deck (416-card) finite deals.

LK63 House Edge
16.6780%

Compared against 1.0579% Banker and 1.2351% Player main bets.

LK63 Unit Volatility (SD)
3.450u

Per-hand standard deviation for Lucky 6 (3-Card Banker 6) (LK63).

LK63 Floor Scope
8-Deck Layout

Macau, Las Vegas, Marina Bay Sands, and regulated live-dealer studios (LK63)

LK63 ACTUARIAL PAYTABLE

Lucky 6 (3-Card Banker 6) (LK63) Combinatorial Breakdown & Jurisdiction Audit

[LK63-RULE] Gaming-lab specification LK63 computes Lucky 6 (3-Card Banker 6) across 416 cards: Pays 20 to 1 when Banker draws a third card and wins with a three-card total of 6 (2-card Banker 6 pays 12 to 1). Three-card Banker 6 wins account for 3.4921% of all 8-deck hands, delivering 73.33% of the total return on the 12:1 / 20:1 Lucky 6 wager.

[LK63-EDGE] Floor audit LK63 prices a 3.4921% hit rate against the 20 to 1 paytable, which inspects a 16.6780% house hold and 3.450u volatility across Macau, Las Vegas, Marina Bay Sands, and regulated live-dealer studios (LK63). Because LK63 maps card ranks and totals dealt from the 8-deck shoe, scoreboard trends on Big Eye Boy, Small Road, and Cockroach Pig never alter LK63 probabilities.

LK63 ParameterLK63 ValueLK63 Main Banker RefLK63 Main Player RefLK63 Audit Note
LK63 Shoe Model8 Decks (416c) [LK63]8D 416c [LK63]8D 416c [LK63]LK63 finite without replacement
LK63 Paytable20 to 1 [LK63]0.95 to 1 [LK63]1.00 to 1 [LK63]LK63 settled on deal completion
LK63 Hit Rate3.4921% [LK63]45.8597% [LK63]44.6247% [LK63]LK63 exact six-card count
LK63 House Edge16.6780% [LK63]1.0579% [LK63]1.2351% [LK63]LK63 house hold per unit
LK63 Std Dev3.450u [LK63]0.931u [LK63]0.951u [LK63]LK63 single-hand dispersion
  • LK63 trigger check: Pays 20 to 1 when Banker draws a third card and wins with a three-card total of 6 (2-card Banker 6 pays 12 to 1).
  • LK63 combinatorial proof: Three-card Banker 6 wins account for 3.4921% of all 8-deck hands, delivering 73.33% of the total return on the 12:1 / 20:1 Lucky 6 wager.
  • LK63 independence verification: derived-road marks on BBPPBPBP never shift LK63 (16.6780% edge).
Table Reality Check

Myth vs. Truth

MythSide bets like Lucky 6 (3-Card Banker 6) can be timed using derived-road streaks on Big Eye Boy or Cockroach Pig.
TruthDerived roads record only whether the previous hand won on Banker or Player relative to prior Big Road columns; they contain zero information about card ranks, suits, or Lucky 6 (3-Card Banker 6) (16.6780% 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