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SIDE-BET AUDIT · PENN 8D · SBA432

3-Card Win & Contrarian Color-Flip Side Wager Audit in Pennsylvania Regulated Pits (8-Deck) (SBA432 EV & Volatility Audit)

In Pennsylvania Regulated Pits (8-Deck) (8-deck, 416-card shoe), 3-Card Win & Contrarian Color-Flip Side Wager Audit pays 2:1 (3-Card Win) / 4:1 (Both 3-Card) with a 28.4500% hit frequency, a 6.8600% house edge, and a 1.8480 per-hand standard deviation under Pennsylvania Gaming Control Board (PGCB) standards (SBA432).

3-Card Win & Contrarian EV
-6.8600%
Hit Rate (8D)
28.4500%
Std Dev (Units)
1.8480
Penn 8D Cards
416
Engine-Verified Scoreboard · 18 Hands

Read the Board at Table Speed

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

Reference shoe scoreboard (BBPPPBBBPPBPTBPBBP) alongside SBA432 (3-Card Win & Contrarian in Penn 8D, 416 cards).

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

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

Common table reading watchout: Thinking "no bead at this row" means blue. It is blue only when Column 1 stopped exactly one row above this bead.

Small Road Mark #2

This bead is at Row 3. Column 1 stopped at Row 2, one row above → blue (≠).

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

Common table reading watchout: Thinking "no bead at this row" means blue. It is blue only when Column 1 stopped exactly one row above this bead.

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

Paytable (SBA432)
2:1 (3-Card Win) / 4:1 (Both 3-Card)

Pays when the selected side wins strictly using a three-card drawn total rather than a two-card standing hand.

Hit Frequency (Penn 8D)
28.4500%

Evaluated across 416 cards (8 decks) in Pennsylvania Regulated Pits (8-Deck).

House Edge (SBA432)
6.8600%

Compared against 1.0579% Banker (5% vig) and 1.2351% Player main bets.

Standard Deviation
1.8480 Units

Per-wager volatility under Pennsylvania Gaming Control Board (PGCB) rules.

Floor Context
8-Deck (416 Cards)

PA statutory 8-deck Midi- and Mini-Baccarat felts.

PAYTABLE & COMBINATORIAL PROOF · SBA432

3-Card Win & Contrarian Paytable & Penn 8D Combinatorial Math (SBA432)

Actuarial verification SBA432 for 3-Card Win & Contrarian (2:1 (3-Card Win) / 4:1 (Both 3-Card)) in Pennsylvania Regulated Pits (8-Deck) (8-deck 416-card shoe) establishes a 28.4500% trigger share, -6.8600% expectation, and 1.8480 standard deviation.

In SBA432 (Penn 8D, 8 decks / 416 cards), pays when the selected (sba432) side wins strictly using a (penn 8d) three-card drawn total rather than (sba432·penn 8d) a two-card standing hand and separates five- and six-card (sba432-8d) drawn victories from four-card natural (penn 8d) and standing 6/7 resolutions, resulting in a 28.4500% hit probability, 6.8600% house edge, and 1.8480 SD.

Verification summary for SBA432: 3-Card Win & Contrarian in Pennsylvania Regulated Pits (8-Deck) (416 cards)
Wager OptionPayout ScheduleHit Rate (8D)House Edge / EV
SBA432 3-Card Win & Contrarian2:1 (3-Card Win) / 4:1 (Both 3-Card)28.4500%-6.8600% (1.8480 SD)
SBA432 Banker (Penn 8D)0.95 to 145.8597%-1.0579% (416c)
SBA432 Player (Penn 8D)1 to 144.6247%-1.2351% (8D)
SCOREBOARD & MULTI-BET DISCIPLINE · SBA432

Derived-Road Independence & Session Volatility in Penn 8D (SBA432)

Verifying SBA432 (3-Card Win & Contrarian Color-Flip Side Wager Audit in Penn 8D, 416 cards) shows that no sequence of Big Road streaks or derived-road marks alters the 28.4500% probability or 6.8600% house hold (1.8480 SD) of 2:1 (3-Card Win) / 4:1 (Both 3-Card).

  • SBA432 (Penn 8D): 3-Card Win & Contrarian (2:1 (3-Card Win) / 4:1 (Both 3-Card)) across 416 cards (5A).
  • SBA432 (3-Card Win & Contrarian EV): 28.4500% hit rate, -6.8600% EV, 1.8480 SD in Penn 8D (5B).
  • SBA432 (8D baseline): 1.0579% Banker & 1.2351% Player vs 6.8600% on 3-Card Win & Contrarian (5C).
  • SBA432 (Penn 8D roads): red/blue marks log Big Road symmetry, never 3-Card Win & Contrarian (28.4500%) timing (5D).
Table Reality Check

Myth vs. Truth

MythA cluster of red or blue marks on Big Eye Boy or Small Road in Penn 8D signals that 3-Card Win & Contrarian (2:1 (3-Card Win) / 4:1 (Both 3-Card)) is about to hit.
TruthDerived-road red and blue marks only record whether Big Road columns repeat or break depth; in SBA432 (416 cards), 3-Card Win & Contrarian carries a fixed 28.4500% hit rate and 6.8600% house edge.
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