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PAIR SIDE-BET AUDIT · BP8D

Banker Pair (8-Deck Shoe): 11 to 1 Paytable & 10.36% House Edge

[BP8D] In a 8-deck (416-card) shoe, Banker's initial two cards share the same rank (A–K). In a 8-deck (416-card) shoe, Banker Pair (8-Deck) achieves a 7.4699% exact hit frequency at 11 to 1, producing a 10.361% house edge and 3.155u per-unit standard deviation compared to 1.0579% on standard 5%-commission Banker.

BP8D Payout
11 to 1
BP8D Hit Rate
7.4699%
BP8D House Edge
10.361%
BP8D Volatility
3.155u
Engine-Verified Scoreboard · 18 Hands

Read the Board at Table Speed

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

BP8D (Banker Pair (8-Deck)) scoreboard sample. Derived-road red/blue marks track Big Road column symmetry, never BP8D 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

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

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

Common table reading watchout: Thinking "no bead at this row" means blue. It is blue only when Column 2 stopped exactly one row above this bead.

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

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

  1. Column 5 goes down to Row 2, so use Rule 2: look 3 columns back, at Column 2.
  2. Column 2 stopped at Row 1, one row above → blue (≠).

Common table reading watchout: Thinking "no bead at this row" means blue. It is blue only when Column 2 stopped exactly one row above this bead.

Verified Reference Data

Key Facts & Table Specifications

BP8D Paytable Return
11 to 1

In a 8-deck (416-card) shoe, Banker's initial two cards share the same rank (A–K).

BP8D Exact Hit Rate
7.4699%

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

BP8D House Edge
10.361%

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

BP8D Unit Volatility (SD)
3.155u

Per-hand standard deviation for Banker Pair (8-Deck) (BP8D).

BP8D Floor Scope
8-Deck Layout

8-deck Macau, Las Vegas, UK, and live-dealer studio tables (BP8D)

BP8D ACTUARIAL PAYTABLE

Banker Pair (8-Deck) (BP8D) Combinatorial Breakdown & Jurisdiction Audit

[BP8D-RULE] Gaming-lab specification BP8D evaluates Banker Pair (8-Deck) across 416 cards: In a 8-deck (416-card) shoe, Banker's initial two cards share the same rank (A–K). After the first card is placed in a 416-card shoe, 31 rank matches and 7 identical suited matches remain among 415 unseen cards.

[BP8D-EDGE] Floor audit BP8D settles a 7.4699% hit rate against the 11 to 1 paytable, which benchmarks a 10.361% house hold and 3.155u volatility across 8-deck Macau, Las Vegas, UK, and live-dealer studio tables (BP8D). Because BP8D isolates card ranks and totals dealt from the 8-deck shoe, scoreboard trends on Big Eye Boy, Small Road, and Cockroach Pig never alter BP8D probabilities.

BP8D ParameterBP8D ValueBP8D Main Banker RefBP8D Main Player RefBP8D Audit Note
BP8D Shoe Model8 Decks (416c) [BP8D]8D 416c [BP8D]8D 416c [BP8D]BP8D finite without replacement
BP8D Paytable11 to 1 [BP8D]0.95 to 1 [BP8D]1.00 to 1 [BP8D]BP8D settled on deal completion
BP8D Hit Rate7.4699% [BP8D]45.8597% [BP8D]44.6247% [BP8D]BP8D exact six-card count
BP8D House Edge10.361% [BP8D]1.0579% [BP8D]1.2351% [BP8D]BP8D house hold per unit
BP8D Std Dev3.155u [BP8D]0.931u [BP8D]0.951u [BP8D]BP8D single-hand dispersion
  • BP8D trigger check: In a 8-deck (416-card) shoe, Banker's initial two cards share the same rank (A–K).
  • BP8D combinatorial proof: After the first card is placed in a 416-card shoe, 31 rank matches and 7 identical suited matches remain among 415 unseen cards.
  • BP8D independence verification: derived-road marks on BBPBBPBB never shift BP8D (10.361% 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 415 remaining cards, 8-deck Banker Pair carries a 10.36% house edge (7.4699% 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