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PAIR SIDE-BET AUDIT · EP1D

Either Pair (1-Deck Shoe): 5 to 1 Paytable & 31.49% House Edge

[EP1D] In a 1-deck (52-card) shoe, Either Banker or Player receives an initial two-card rank pair. In a 1-deck (52-card) shoe, Either Pair (1-Deck) achieves a 11.4187% exact hit frequency at 5 to 1, producing a 31.488% house edge and 1.908u per-unit standard deviation compared to 1.0579% on standard 5%-commission Banker.

EP1D Payout
5 to 1
EP1D Hit Rate
11.4187%
EP1D House Edge
31.488%
EP1D Volatility
1.908u
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 ≠ ≠ = ≠ ≠ ≠ ≠ = ≠ ≠ = ≠

EP1D (Either Pair (1-Deck)) scoreboard sample. Derived-road red/blue marks track Big Road column symmetry, never EP1D 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

EP1D Paytable Return
5 to 1

In a 1-deck (52-card) shoe, Either Banker or Player receives an initial two-card rank pair.

EP1D Exact Hit Rate
11.4187%

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

EP1D House Edge
31.488%

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

EP1D Unit Volatility (SD)
1.908u

Per-hand standard deviation for Either Pair (1-Deck) (EP1D).

EP1D Floor Scope
1-Deck Layout

1-deck Macau, Las Vegas, UK, and live-dealer studio tables (EP1D)

EP1D ACTUARIAL PAYTABLE

Either Pair (1-Deck) (EP1D) Combinatorial Breakdown & Jurisdiction Audit

[EP1D-RULE] Gaming-lab specification EP1D computes Either Pair (1-Deck) across 52 cards: In a 1-deck (52-card) shoe, Either Banker or Player receives an initial two-card rank pair. After the first card is placed in a 52-card shoe, 3 rank matches and 0 identical suited matches remain among 51 unseen cards.

[EP1D-EDGE] Floor audit EP1D prices a 11.4187% hit rate against the 5 to 1 paytable, which inspects a 31.488% house hold and 1.908u volatility across 1-deck Macau, Las Vegas, UK, and live-dealer studio tables (EP1D). Because EP1D maps card ranks and totals dealt from the 1-deck shoe, scoreboard trends on Big Eye Boy, Small Road, and Cockroach Pig never alter EP1D probabilities.

EP1D ParameterEP1D ValueEP1D Main Banker RefEP1D Main Player RefEP1D Audit Note
EP1D Shoe Model1 Decks (52c) [EP1D]8D 416c [EP1D]8D 416c [EP1D]EP1D finite without replacement
EP1D Paytable5 to 1 [EP1D]0.95 to 1 [EP1D]1.00 to 1 [EP1D]EP1D settled on deal completion
EP1D Hit Rate11.4187% [EP1D]45.8597% [EP1D]44.6247% [EP1D]EP1D exact six-card count
EP1D House Edge31.488% [EP1D]1.0579% [EP1D]1.2351% [EP1D]EP1D house hold per unit
EP1D Std Dev1.908u [EP1D]0.931u [EP1D]0.951u [EP1D]EP1D single-hand dispersion
  • EP1D trigger check: In a 1-deck (52-card) shoe, Either Banker or Player receives an initial two-card rank pair.
  • EP1D 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.
  • EP1D independence verification: derived-road marks on BBPPBPBP never shift EP1D (31.488% edge).
Table Reality Check

Myth vs. Truth

MythDeck count barely affects the Either 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 Either Pair carries a 31.49% house edge (11.4187% 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