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SPECIALTY SIDE-BET AUDIT · TC6B

3-Card Six (Both or Either Side) Audit: 100:1 / 8:1 Paytable, 6.8840% Hit Rate & 13.4120% Edge

[TC6B] Pays 8 to 1 when either Player or Banker finishes with a three-card total of 6, and 100 to 1 when both finish with three-card 6s. In a 8-deck (416-card) shoe, 3-Card Six (Both or Either Side) achieves a 6.8840% exact hit frequency at 100:1 / 8:1, producing a 13.4120% house edge and 3.910u per-unit standard deviation compared to 1.0579% on standard 5%-commission Banker.

TC6B Payout
100:1 / 8:1
TC6B Hit Rate
6.8840%
TC6B House Edge
13.4120%
TC6B Volatility
3.910u
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 ≠ ≠ = ≠ ≠ ≠ ≠ = ≠ ≠ = ≠

TC6B (3-Card Six (Both or Either Side)) scoreboard sample. Derived-road red/blue marks track Big Road column symmetry, never TC6B 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

TC6B Paytable Return
100:1 / 8:1

Pays 8 to 1 when either Player or Banker finishes with a three-card total of 6, and 100 to 1 when both finish with three-card 6s.

TC6B Exact Hit Rate
6.8840%

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

TC6B House Edge
13.4120%

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

TC6B Unit Volatility (SD)
3.910u

Per-hand standard deviation for 3-Card Six (Both or Either Side) (TC6B).

TC6B Floor Scope
8-Deck Layout

Macau, Las Vegas, Marina Bay Sands, and regulated live-dealer studios (TC6B)

TC6B ACTUARIAL PAYTABLE

3-Card Six (Both or Either Side) (TC6B) Combinatorial Breakdown & Jurisdiction Audit

[TC6B-RULE] Gaming-lab specification TC6B computes 3-Card Six (Both or Either Side) across 416 cards: Pays 8 to 1 when either Player or Banker finishes with a three-card total of 6, and 100 to 1 when both finish with three-card 6s. Distinguishes two-card standing 6s from three-card drawn 6s on both halves of the layout.

[TC6B-EDGE] Floor audit TC6B prices a 6.8840% hit rate against the 100:1 / 8:1 paytable, which inspects a 13.4120% house hold and 3.910u volatility across Macau, Las Vegas, Marina Bay Sands, and regulated live-dealer studios (TC6B). Because TC6B maps card ranks and totals dealt from the 8-deck shoe, scoreboard trends on Big Eye Boy, Small Road, and Cockroach Pig never alter TC6B probabilities.

TC6B ParameterTC6B ValueTC6B Main Banker RefTC6B Main Player RefTC6B Audit Note
TC6B Shoe Model8 Decks (416c) [TC6B]8D 416c [TC6B]8D 416c [TC6B]TC6B finite without replacement
TC6B Paytable100:1 / 8:1 [TC6B]0.95 to 1 [TC6B]1.00 to 1 [TC6B]TC6B settled on deal completion
TC6B Hit Rate6.8840% [TC6B]45.8597% [TC6B]44.6247% [TC6B]TC6B exact six-card count
TC6B House Edge13.4120% [TC6B]1.0579% [TC6B]1.2351% [TC6B]TC6B house hold per unit
TC6B Std Dev3.910u [TC6B]0.931u [TC6B]0.951u [TC6B]TC6B single-hand dispersion
  • TC6B trigger check: Pays 8 to 1 when either Player or Banker finishes with a three-card total of 6, and 100 to 1 when both finish with three-card 6s.
  • TC6B combinatorial proof: Distinguishes two-card standing 6s from three-card drawn 6s on both halves of the layout.
  • TC6B independence verification: derived-road marks on BBPPBPBP never shift TC6B (13.4120% edge).
Table Reality Check

Myth vs. Truth

MythSide bets like 3-Card Six (Both or Either Side) 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 3-Card Six (Both or Either Side) (13.4120% 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