Skip to main content
Baccarat Smart
  1. Home
  2. Third-Card Rule Chart
  3. Resolution #8
FINAL TOTAL RESOLUTION [RES008] · 6-CARD PROOF

Player 1 + A (1) vs. Banker 0 (Draws 3 (3)): 6-Card Resolution #8

In walkthrough RES008, Player opens with 7+4 (1) and draws fifth-card A (1) for a modulo-10 total of 2, while Banker opens with 6+4 (0) and draws sixth-card 3 (3) for 3 (6-card B outcome).

RES008 Player Path
P:1->2
RES008 Banker Path
B:0->3
RES008 Deal Length
6 Cards
RES008 Showdown
B (2v3)
Engine-Verified Scoreboard · 20 Hands

Read the Board at Table Speed

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

Scoreboard sequence paired with 6-card resolution RES008 (P1+1->2 vs B0->3).

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 #3

Column 3 has 1 bead. Column 2 has 2 beads. Different depth → blue (≠).

  1. Column 4 starts, so use Rule 1: compare Column 3 with Column 2, 1 column further back.
  2. Column 3 has 1 bead. Column 2 has 2 beads. Different depth → blue (≠).

Common table reading watchout: Comparing the wrong columns. Compare Column 3, the one that just finished, with Column 2.

Small Road Mark #3

Column 5 has 1 bead. Column 3 has 1 bead. Same depth → red (=).

  1. Column 6 starts, so use Rule 1: compare Column 5 with Column 3, 2 columns further back.
  2. Column 5 has 1 bead. Column 3 has 1 bead. Same depth → red (=).

Common table reading watchout: Comparing the wrong columns. Compare Column 5, the one that just finished, with Column 3.

Cockroach Pig Mark #3

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

  1. Column 6 goes down to Row 2, so use Rule 2: look 3 columns back, at Column 3.
  2. Column 3 stopped at Row 1, one row above → blue (≠).

Common table reading watchout: Thinking "no bead at this row" means blue. It is blue only when Column 3 stopped exactly one row above this bead.

Verified Reference Data

Key Facts & Table Specifications

RES008 Four-Card Opening Deal
Player 7+4=1 vs Banker 6+4=0

Verified non-natural start via handTotal([7,4])=1 and handTotal([6,4])=0.

RES008 Fifth-Card Modulo Proof
(1 + 1) mod 10 = 2 via A

Player draws fifth-card A (value 1), transforming two-card 1 into three-card 2.

RES008 Banker Tableau Lookup
BANKER_TABLEAU[0][1] = true

Banker 0 draws sixth-card 3 (3) so (0+3) mod 10 = 3.

RES008 Card Count & Winner
6 Cards -> B (2 vs 3)

Computed directly from resolveHand() with zero discretionary dealer options.

RES008 Derived Road Independence
Red (=) / Blue (≠) Symmetry Only

Big Eye Boy, Small Road, and Cockroach Pig compare Big Road column depths, not B vs P.

MODULO-10 ARITHMETIC · RES008

Step-by-Step Card Arithmetic for RES008: P(7+4)+A vs B(6+4)

Arithmetic trace [RES008] starts from four-card deal 7+4=1 vs 6+4=0; Player's compulsory draw of A (pip value 1) produces raw 2, which wraps modulo-10 to 2.

[RES008-B] Next in [RES008], Banker consults 0-point unconditional draw tier: facing fifth-card A (1), Banker 0 draws 3 (3) so 0+3=3 -> 3.

Complete 6-Card Resolution Trace for RES008
RES008 StageRES008 CardsRES008 Modulo MathRES008 Status
[RES008:Init]P(7+4)=1 vs B(6+4)=0playerShouldDraw(1)=true4-Card Deal
[RES008:5th]Player +A (1)(1+1) mod 10 = 25th Card Sideways
[RES008:6th]Banker +3 (3)(0+3) mod 10 = 36-Card Final
[RES008:Settle]P=2 vs B=3Winner: BBig Road +B
  • [RES008-1] Confirm [RES008] opening P=1 (7+4) and B=0 (6+4) lack Natural 8/9.
  • [RES008-2] Add [RES008] fifth-card A (1) to P=1 for (1+1) mod 10 = 2.
  • [RES008-3] Run [RES008] BANKER_TABLEAU[0][1]=true to settle 2 vs 3 (B).
SETTLEMENT & SCOREBOARD · RES008

Showdown Settlement & Scoreboard Logging for RES008 (2 vs 3)

[RES008-C3] Comparing [RES008] final totals (6c), Player 2 vs Banker 3 awards [RES008] to Banker (B), which pays 0.95:1 on 5%-commission [RES008] layouts (or 0.5:1 on 6 at No-Commission [RES008] tables) and appends B to PPBBPBPBBB.

[RES008-D2] Side-bet & road check for [RES008] (P1+1->2 vs B0->3, 6c): [RES008] leaves [RES008] Dragon 7 inactive (needs winning 6c Banker 7, got 6c B=3) and leaves [RES008] Panda 8 inactive (needs winning 3c Player 8, got P=2); on [RES008] derived roads, Red (=) marks repeating Big Road depth and Blue (≠) marks breaking depth.

Table Reality Check

Myth vs. Truth

MythIn RES008, Banker 0 evaluates Player's three-card total (2) before deciding whether to draw.
TruthBanker 0 inspects only Player's fifth card A (value 1) via BANKER_TABLEAU[0][1] = true.
MythBecause RES008 resolves as B, the next derived-road mark must match B's colour.
TruthDerived roads record Red (=) when Big Road structure repeats and Blue (≠) when it breaks—never Banker or Player.
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