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PAIR SIDE-BET AUDIT · PFP1D

Perfect Pair (1-Deck Shoe): 25:1 / 200:1 Paytable & 49.02% House Edge

[PFP1D] In a 1-deck (52-card) shoe, Initial two cards match in both rank and suit (identical card). In a 1-deck (52-card) shoe, Perfect Pair (1-Deck) achieves a 1.9608% exact hit frequency at 25:1 / 200:1, producing a 49.020% house edge and 1.664u per-unit standard deviation compared to 1.0579% on standard 5%-commission Banker.

PFP1D Payout
25:1 / 200:1
PFP1D Hit Rate
1.9608%
PFP1D House Edge
49.020%
PFP1D Volatility
1.664u
Engine-Verified Scoreboard · 18 Hands

Read the Board at Table Speed

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

PFP1D (Perfect Pair (1-Deck)) scoreboard sample. Derived-road red/blue marks track Big Road column symmetry, never PFP1D 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

PFP1D Paytable Return
25:1 / 200:1

In a 1-deck (52-card) shoe, Initial two cards match in both rank and suit (identical card).

PFP1D Exact Hit Rate
1.9608%

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

PFP1D House Edge
49.020%

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

PFP1D Unit Volatility (SD)
1.664u

Per-hand standard deviation for Perfect Pair (1-Deck) (PFP1D).

PFP1D Floor Scope
1-Deck Layout

1-deck Macau, Las Vegas, UK, and live-dealer studio tables (PFP1D)

PFP1D ACTUARIAL PAYTABLE

Perfect Pair (1-Deck) (PFP1D) Combinatorial Breakdown & Jurisdiction Audit

[PFP1D-RULE] Gaming-lab specification PFP1D calculates Perfect Pair (1-Deck) across 52 cards: In a 1-deck (52-card) shoe, Initial two cards match in both rank and suit (identical card). After the first card is placed in a 52-card shoe, 3 rank matches and 0 identical suited matches remain among 51 unseen cards.

[PFP1D-EDGE] Floor audit PFP1D resolves a 1.9608% hit rate against the 25:1 / 200:1 paytable, which records a 49.020% house hold and 1.664u volatility across 1-deck Macau, Las Vegas, UK, and live-dealer studio tables (PFP1D). Because PFP1D indexes card ranks and totals dealt from the 1-deck shoe, scoreboard trends on Big Eye Boy, Small Road, and Cockroach Pig never alter PFP1D probabilities.

PFP1D ParameterPFP1D ValuePFP1D Main Banker RefPFP1D Main Player RefPFP1D Audit Note
PFP1D Shoe Model1 Decks (52c) [PFP1D]8D 416c [PFP1D]8D 416c [PFP1D]PFP1D finite without replacement
PFP1D Paytable25:1 / 200:1 [PFP1D]0.95 to 1 [PFP1D]1.00 to 1 [PFP1D]PFP1D settled on deal completion
PFP1D Hit Rate1.9608% [PFP1D]45.8597% [PFP1D]44.6247% [PFP1D]PFP1D exact six-card count
PFP1D House Edge49.020% [PFP1D]1.0579% [PFP1D]1.2351% [PFP1D]PFP1D house hold per unit
PFP1D Std Dev1.664u [PFP1D]0.931u [PFP1D]0.951u [PFP1D]PFP1D single-hand dispersion
  • PFP1D trigger check: In a 1-deck (52-card) shoe, Initial two cards match in both rank and suit (identical card).
  • PFP1D 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.
  • PFP1D independence verification: derived-road marks on BPBPBPBB never shift PFP1D (49.020% edge).
Table Reality Check

Myth vs. Truth

MythDeck count barely affects the Perfect 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 Perfect Pair carries a 49.02% house edge (1.9608% 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