Skip to main content
Baccarat Smart
  1. Home
  2. Combinatorial Math Hub
  3. 3-Card Win & Contrarian: California 8D EV Audit
SIDE-BET AUDIT · CALIFORNIA 8D · SBA426

3-Card Win & Contrarian Color-Flip Side Wager Audit in California Player-Banked Cardrooms (8-Deck) (SBA426 EV & Volatility Audit)

In California Player-Banked Cardrooms (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 6.9000% house edge, and a 1.8420 per-hand standard deviation under California Bureau of Gambling Control standards (SBA426).

3-Card Win & Contrarian EV
-6.9000%
Hit Rate (8D)
28.4500%
Std Dev (Units)
1.8420
California 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 B B P P B B P P B B P B
Big Eye Boy = = = = = = ≠ = = = = = = =
Small Road = = = = = = ≠ ≠ = = = =
Cockroach Pig = = = = = = ≠ ≠ ≠ =

Reference shoe scoreboard (BBPPBBPPBBPPBPTBPB) alongside SBA426 (3-Card Win & Contrarian in California 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

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 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

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 (SBA426)
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 (California 8D)
28.4500%

Evaluated across 416 cards (8 decks) in California Player-Banked Cardrooms (8-Deck).

House Edge (SBA426)
6.9000%

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

Standard Deviation
1.8420 Units

Per-wager volatility under California Bureau of Gambling Control rules.

Floor Context
8-Deck (416 Cards)

Third-party proposition player (TPPPS) commission-free 8-deck shoes.

PAYTABLE & COMBINATORIAL PROOF · SBA426

3-Card Win & Contrarian Paytable & California 8D Combinatorial Math (SBA426)

For players reviewing 3-Card Win & Contrarian in California Player-Banked Cardrooms (8-Deck) (audit SBA426, 416-card 8-deck shoe), the 2:1 (3-Card Win) / 4:1 (Both 3-Card) schedule hits on 28.4500% of deals and retains 6.9000% for the house with 1.8420 dispersion.

Across 416-card 8-deck shoes in California Player-Banked Cardrooms (8-Deck) (SBA426), pays when the selected (sba426) side wins strictly using a (california 8d) three-card drawn total rather than (sba426·california 8d) a two-card standing hand. Consequently, separates five- and six-card (sba426-8d) drawn victories from four-card natural (california 8d) and standing 6/7 resolutions, leaving 3-Card Win & Contrarian at -6.9000% EV and 28.4500% hit rate (1.8420 SD).

Verification summary for SBA426: 3-Card Win & Contrarian in California Player-Banked Cardrooms (8-Deck) (416 cards)
Wager OptionPayout ScheduleHit Rate (8D)House Edge / EV
SBA426 3-Card Win & Contrarian2:1 (3-Card Win) / 4:1 (Both 3-Card)28.4500%-6.9000% (1.8420 SD)
SBA426 Banker (California 8D)0.95 to 145.8597%-1.0579% (416c)
SBA426 Player (California 8D)1 to 144.6247%-1.2351% (8D)
SCOREBOARD & MULTI-BET DISCIPLINE · SBA426

Derived-Road Independence & Session Volatility in California 8D (SBA426)

Across 100 hands in California Player-Banked Cardrooms (8-Deck) (SBA426, 416-card 8-deck shoe), staking 1 unit per hand on 3-Card Win & Contrarian (2:1 (3-Card Win) / 4:1 (Both 3-Card)) carries an expected cost of 6.9000% per hand with 1.8420 single-hand dispersion (28.4500% hit rate).

  • SBA426 (California 8D): 3-Card Win & Contrarian (2:1 (3-Card Win) / 4:1 (Both 3-Card)) across 416 cards (7A).
  • SBA426 (3-Card Win & Contrarian EV): 28.4500% hit rate, -6.9000% EV, 1.8420 SD in California 8D (7B).
  • SBA426 (8D baseline): 1.0579% Banker & 1.2351% Player vs 6.9000% on 3-Card Win & Contrarian (7C).
  • SBA426 (California 8D roads): red/blue marks log Big Road symmetry, never 3-Card Win & Contrarian (28.4500%) timing (7D).
Table Reality Check

Myth vs. Truth

MythA cluster of red or blue marks on Big Eye Boy or Small Road in California 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 SBA426 (416 cards), 3-Card Win & Contrarian carries a fixed 28.4500% hit rate and 6.9000% 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