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PAIR SIDE-BET AUDIT · PP1D

Player Pair (1-Deck Shoe): 11 to 1 Paytable & 29.41% House Edge

[PP1D] In a 1-deck (52-card) shoe, Player's initial two cards share the same rank (A–K). In a 1-deck (52-card) shoe, Player Pair (1-Deck) achieves a 5.8824% exact hit frequency at 11 to 1, producing a 29.412% house edge and 2.824u per-unit standard deviation compared to 1.0579% on standard 5%-commission Banker.

PP1D Payout
11 to 1
PP1D Hit Rate
5.8824%
PP1D House Edge
29.412%
PP1D Volatility
2.824u
Engine-Verified Scoreboard · 18 Hands

Read the Board at Table Speed

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

PP1D (Player Pair (1-Deck)) scoreboard sample. Derived-road red/blue marks track Big Road column symmetry, never PP1D 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 3 has 1 bead. Column 2 has 1 bead. Same depth → red (=).

  1. Column 4 starts, so use Rule 1: compare Column 3 with Column 2, 1 column further back.
  2. Column 3 has 1 bead. Column 2 has 1 bead. Same depth → red (=).

Common table reading watchout: Comparing the wrong columns. Compare Column 3, the one that just finished, with Column 2.

Small Road Mark #2

Column 4 has 1 bead. Column 2 has 1 bead. Same depth → red (=).

  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 1 bead. Same depth → red (=).

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 1 bead. Same depth → red (=).

  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 1 bead. Same depth → red (=).

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

PP1D Paytable Return
11 to 1

In a 1-deck (52-card) shoe, Player's initial two cards share the same rank (A–K).

PP1D Exact Hit Rate
5.8824%

Enumerated across 1-deck (52-card) finite deals.

PP1D House Edge
29.412%

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

PP1D Unit Volatility (SD)
2.824u

Per-hand standard deviation for Player Pair (1-Deck) (PP1D).

PP1D Floor Scope
1-Deck Layout

1-deck Macau, Las Vegas, UK, and live-dealer studio tables (PP1D)

PP1D ACTUARIAL PAYTABLE

Player Pair (1-Deck) (PP1D) Combinatorial Breakdown & Jurisdiction Audit

[PP1D-RULE] Gaming-lab specification PP1D quantifies Player Pair (1-Deck) across 52 cards: In a 1-deck (52-card) shoe, Player's initial two cards share the same rank (A–K). After the first card is placed in a 52-card shoe, 3 rank matches and 0 identical suited matches remain among 51 unseen cards.

[PP1D-EDGE] Floor audit PP1D audits a 5.8824% hit rate against the 11 to 1 paytable, which measures a 29.412% house hold and 2.824u volatility across 1-deck Macau, Las Vegas, UK, and live-dealer studio tables (PP1D). Because PP1D tabulates card ranks and totals dealt from the 1-deck shoe, scoreboard trends on Big Eye Boy, Small Road, and Cockroach Pig never alter PP1D probabilities.

PP1D ParameterPP1D ValuePP1D Main Banker RefPP1D Main Player RefPP1D Audit Note
PP1D Shoe Model1 Decks (52c) [PP1D]8D 416c [PP1D]8D 416c [PP1D]PP1D finite without replacement
PP1D Paytable11 to 1 [PP1D]0.95 to 1 [PP1D]1.00 to 1 [PP1D]PP1D settled on deal completion
PP1D Hit Rate5.8824% [PP1D]45.8597% [PP1D]44.6247% [PP1D]PP1D exact six-card count
PP1D House Edge29.412% [PP1D]1.0579% [PP1D]1.2351% [PP1D]PP1D house hold per unit
PP1D Std Dev2.824u [PP1D]0.931u [PP1D]0.951u [PP1D]PP1D single-hand dispersion
  • PP1D trigger check: In a 1-deck (52-card) shoe, Player's initial two cards share the same rank (A–K).
  • PP1D combinatorial proof: After the first card is placed in a 52-card shoe, 3 rank matches and 0 identical suited matches remain among 51 unseen cards.
  • PP1D independence verification: derived-road marks on PBPBPBPP never shift PP1D (29.412% edge).
Table Reality Check

Myth vs. Truth

MythDeck count barely affects the Player Pair side bet because every deck has four of each rank.
TruthBecause matching the first card draws without replacement from 51 remaining cards, 1-deck Player Pair carries a 29.41% house edge (5.8824% 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