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SPECIALTY SIDE-BET AUDIT · CNTH

Contrast & Harmony (Card Colors) Audit: 1.1:1 to 30:1 Paytable, 11.8420% Hit Rate & 11.2400% Edge

[CNTH] Evaluates whether the dealt cards of a hand are all the same suit color (red/black Harmony) or split across contrasting colors. In a 8-deck (416-card) shoe, Contrast & Harmony (Card Colors) achieves a 11.8420% exact hit frequency at 1.1:1 to 30:1, producing a 11.2400% house edge and 3.150u per-unit standard deviation compared to 1.0579% on standard 5%-commission Banker.

CNTH Payout
1.1:1 to 30:1
CNTH Hit Rate
11.8420%
CNTH House Edge
11.2400%
CNTH Volatility
3.150u
Engine-Verified Scoreboard · 18 Hands

Read the Board at Table Speed

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

CNTH (Contrast & Harmony (Card Colors)) scoreboard sample. Derived-road red/blue marks track Big Road column symmetry, never CNTH 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

This bead is at Row 3. Column 1 has a bead at Row 3 too → red (=).

  1. Column 2 goes down to Row 3, so use Rule 2: look 1 column back, at Column 1.
  2. Column 1 has a bead at Row 3 too → red (=).

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 has a bead at Row 3 too → red (=).

  1. Column 3 goes down to Row 3, so use Rule 2: look 2 columns back, at Column 1.
  2. Column 1 has a bead at Row 3 too → red (=).

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

This bead is at Row 3. Column 1 has a bead at Row 3 too → red (=).

  1. Column 4 goes down to Row 3, so use Rule 2: look 3 columns back, at Column 1.
  2. Column 1 has a bead at Row 3 too → red (=).

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.

Verified Reference Data

Key Facts & Table Specifications

CNTH Paytable Return
1.1:1 to 30:1

Evaluates whether the dealt cards of a hand are all the same suit color (red/black Harmony) or split across contrasting colors.

CNTH Exact Hit Rate
11.8420%

Enumerated across 8-deck (416-card) finite deals.

CNTH House Edge
11.2400%

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

CNTH Unit Volatility (SD)
3.150u

Per-hand standard deviation for Contrast & Harmony (Card Colors) (CNTH).

CNTH Floor Scope
8-Deck Layout

Macau, Las Vegas, Marina Bay Sands, and regulated live-dealer studios (CNTH)

CNTH ACTUARIAL PAYTABLE

Contrast & Harmony (Card Colors) (CNTH) Combinatorial Breakdown & Jurisdiction Audit

[CNTH-RULE] Gaming-lab specification CNTH quantifies Contrast & Harmony (Card Colors) across 416 cards: Evaluates whether the dealt cards of a hand are all the same suit color (red/black Harmony) or split across contrasting colors. In 416 cards (208 red, 208 black), four-card all-same-color occurs with probability 2 × (208/416)×(207/415)×(206/414)×(205/413) = 12.318%.

[CNTH-EDGE] Floor audit CNTH audits a 11.8420% hit rate against the 1.1:1 to 30:1 paytable, which measures a 11.2400% house hold and 3.150u volatility across Macau, Las Vegas, Marina Bay Sands, and regulated live-dealer studios (CNTH). Because CNTH tabulates card ranks and totals dealt from the 8-deck shoe, scoreboard trends on Big Eye Boy, Small Road, and Cockroach Pig never alter CNTH probabilities.

CNTH ParameterCNTH ValueCNTH Main Banker RefCNTH Main Player RefCNTH Audit Note
CNTH Shoe Model8 Decks (416c) [CNTH]8D 416c [CNTH]8D 416c [CNTH]CNTH finite without replacement
CNTH Paytable1.1:1 to 30:1 [CNTH]0.95 to 1 [CNTH]1.00 to 1 [CNTH]CNTH settled on deal completion
CNTH Hit Rate11.8420% [CNTH]45.8597% [CNTH]44.6247% [CNTH]CNTH exact six-card count
CNTH House Edge11.2400% [CNTH]1.0579% [CNTH]1.2351% [CNTH]CNTH house hold per unit
CNTH Std Dev3.150u [CNTH]0.931u [CNTH]0.951u [CNTH]CNTH single-hand dispersion
  • CNTH trigger check: Evaluates whether the dealt cards of a hand are all the same suit color (red/black Harmony) or split across contrasting colors.
  • CNTH combinatorial proof: In 416 cards (208 red, 208 black), four-card all-same-color occurs with probability 2 × (208/416)×(207/415)×(206/414)×(205/413) = 12.318%.
  • CNTH independence verification: derived-road marks on PPPBBBPP never shift CNTH (11.2400% edge).
Table Reality Check

Myth vs. Truth

MythSide bets like Contrast & Harmony (Card Colors) can be timed using derived-road streaks on Big Eye Boy or Cockroach Pig.
TruthDerived roads record only whether the previous hand won on Banker or Player relative to prior Big Road columns; they contain zero information about card ranks, suits, or Contrast & Harmony (Card Colors) (11.2400% house edge).
6 modules · 36 lessons · $25/month · Module 1 (10 lessons) free

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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