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PAIR SIDE-BET AUDIT · BP6D

Banker Pair (6-Deck Shoe): 11 to 1 Paytable & 11.25% House Edge

[BP6D] In a 6-deck (312-card) shoe, Banker's initial two cards share the same rank (A–K). In a 6-deck (312-card) shoe, Banker Pair (6-Deck) achieves a 7.3955% exact hit frequency at 11 to 1, producing a 11.254% house edge and 3.140u per-unit standard deviation compared to 1.0579% on standard 5%-commission Banker.

BP6D Payout
11 to 1
BP6D Hit Rate
7.3955%
BP6D House Edge
11.254%
BP6D Volatility
3.140u
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 B P P B B P B P B B P
Big Eye Boy = = = = = = ≠ = = = = ≠ ≠ = =
Small Road = = = = = = ≠ ≠ = = = ≠ ≠
Cockroach Pig = = = = = = ≠ ≠ ≠ ≠ ≠

BP6D (Banker Pair (6-Deck)) scoreboard sample. Derived-road red/blue marks track Big Road column symmetry, never BP6D 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 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 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

BP6D Paytable Return
11 to 1

In a 6-deck (312-card) shoe, Banker's initial two cards share the same rank (A–K).

BP6D Exact Hit Rate
7.3955%

Enumerated across 6-deck (312-card) finite deals.

BP6D House Edge
11.254%

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

BP6D Unit Volatility (SD)
3.140u

Per-hand standard deviation for Banker Pair (6-Deck) (BP6D).

BP6D Floor Scope
6-Deck Layout

6-deck Macau, Las Vegas, UK, and live-dealer studio tables (BP6D)

BP6D ACTUARIAL PAYTABLE

Banker Pair (6-Deck) (BP6D) Combinatorial Breakdown & Jurisdiction Audit

[BP6D-RULE] Gaming-lab specification BP6D computes Banker Pair (6-Deck) across 312 cards: In a 6-deck (312-card) shoe, Banker's initial two cards share the same rank (A–K). After the first card is placed in a 312-card shoe, 23 rank matches and 5 identical suited matches remain among 311 unseen cards.

[BP6D-EDGE] Floor audit BP6D prices a 7.3955% hit rate against the 11 to 1 paytable, which inspects a 11.254% house hold and 3.140u volatility across 6-deck Macau, Las Vegas, UK, and live-dealer studio tables (BP6D). Because BP6D maps card ranks and totals dealt from the 6-deck shoe, scoreboard trends on Big Eye Boy, Small Road, and Cockroach Pig never alter BP6D probabilities.

BP6D ParameterBP6D ValueBP6D Main Banker RefBP6D Main Player RefBP6D Audit Note
BP6D Shoe Model6 Decks (312c) [BP6D]8D 416c [BP6D]8D 416c [BP6D]BP6D finite without replacement
BP6D Paytable11 to 1 [BP6D]0.95 to 1 [BP6D]1.00 to 1 [BP6D]BP6D settled on deal completion
BP6D Hit Rate7.3955% [BP6D]45.8597% [BP6D]44.6247% [BP6D]BP6D exact six-card count
BP6D House Edge11.254% [BP6D]1.0579% [BP6D]1.2351% [BP6D]BP6D house hold per unit
BP6D Std Dev3.140u [BP6D]0.931u [BP6D]0.951u [BP6D]BP6D single-hand dispersion
  • BP6D trigger check: In a 6-deck (312-card) shoe, Banker's initial two cards share the same rank (A–K).
  • BP6D combinatorial proof: After the first card is placed in a 312-card shoe, 23 rank matches and 5 identical suited matches remain among 311 unseen cards.
  • BP6D independence verification: derived-road marks on PPBBPPBB never shift BP6D (11.254% edge).
Table Reality Check

Myth vs. Truth

MythDeck count barely affects the Banker Pair side bet because every deck has four of each rank.
TruthBecause matching the first card draws without replacement from 311 remaining cards, 6-deck Banker Pair carries a 11.25% house edge (7.3955% hit rate).
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