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FINAL TOTAL RESOLUTION [RES003] · 6-CARD PROOF

Player 2 + 10 (0) vs. Banker 0 (Draws 8 (8)): 6-Card Resolution #3

In walkthrough RES003, Player opens with 10+2 (2) and draws fifth-card 10 (0) for a modulo-10 total of 2, while Banker opens with 10+K (0) and draws sixth-card 8 (8) for 8 (6-card B outcome).

RES003 Player Path
P:2->2
RES003 Banker Path
B:0->8
RES003 Deal Length
6 Cards
RES003 Showdown
B (2v8)
Engine-Verified Scoreboard · 20 Hands

Read the Board at Table Speed

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

Scoreboard sequence paired with 6-card resolution RES003 (P2+0->2 vs B0->8).

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

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

Common table reading watchout: Comparing the wrong columns. Compare Column 2, the one that just finished, with Column 1.

Small Road Mark #3

Column 4 has 1 bead. Column 2 has 3 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 3 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 #3

Column 5 has 2 beads. Column 2 has 3 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 2 beads. Column 2 has 3 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

RES003 Four-Card Opening Deal
Player 10+2=2 vs Banker 10+K=0

Verified non-natural start via handTotal([10,2])=2 and handTotal([10,K])=0.

RES003 Fifth-Card Modulo Proof
(2 + 0) mod 10 = 2 via 10

Player draws fifth-card 10 (value 0), transforming two-card 2 into three-card 2.

RES003 Banker Tableau Lookup
BANKER_TABLEAU[0][0] = true

Banker 0 draws sixth-card 8 (8) so (0+8) mod 10 = 8.

RES003 Card Count & Winner
6 Cards -> B (2 vs 8)

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

RES003 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 · RES003

Step-by-Step Card Arithmetic for RES003: P(10+2)+10 vs B(10+K)

During tableau case [RES003], Player holds 10+2 for 2 while Banker holds 10+K for 0; drawing fifth-card 10 (0) shifts Player from 2 to 2, which reduces mod-10 to 2.

[RES003-B] Evaluating bankerShouldDraw(0, 0)=true (0-point unconditional draw tier) in [RES003], sixth-card 8 (8) advances Banker 0 via 0+8=8 to 8.

Complete 6-Card Resolution Trace for RES003
RES003 StageRES003 CardsRES003 Modulo MathRES003 Status
[RES003:Init]P(10+2)=2 vs B(10+K)=0playerShouldDraw(2)=true4-Card Deal
[RES003:5th]Player +10 (0)(2+0) mod 10 = 25th Card Sideways
[RES003:6th]Banker +8 (8)(0+8) mod 10 = 86-Card Final
[RES003:Settle]P=2 vs B=8Winner: BBig Road +B
  • [RES003-1] Confirm [RES003] opening P=2 (10+2) and B=0 (10+K) lack Natural 8/9.
  • [RES003-2] Add [RES003] fifth-card 10 (0) to P=2 for (2+0) mod 10 = 2.
  • [RES003-3] Run [RES003] BANKER_TABLEAU[0][0]=true to settle 2 vs 8 (B).
SETTLEMENT & SCOREBOARD · RES003

Showdown Settlement & Scoreboard Logging for RES003 (2 vs 8)

[RES003-C0] Comparing [RES003] final totals (6c), Player 2 vs Banker 8 awards [RES003] to Banker (B), which pays 0.95:1 on 5%-commission [RES003] layouts (or 0.5:1 on 6 at No-Commission [RES003] tables) and appends B to BBPPPBBPBB.

[RES003-D9] Side-bet & road check for [RES003] (P2+0->2 vs B0->8, 6c): [RES003] leaves [RES003] Dragon 7 inactive (needs winning 6c Banker 7, got 6c B=8) and leaves [RES003] Panda 8 inactive (needs winning 3c Player 8, got P=2); on [RES003] derived roads, Red (=) marks repeating Big Road depth and Blue (≠) marks breaking depth.

Table Reality Check

Myth vs. Truth

MythIn RES003, Banker 0 evaluates Player's three-card total (2) before deciding whether to draw.
TruthBanker 0 inspects only Player's fifth card 10 (value 0) via BANKER_TABLEAU[0][0] = true.
MythBecause RES003 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