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FINAL TOTAL RESOLUTION [RES007] · 6-CARD PROOF

Player 0 + A (1) vs. Banker 0 (Draws 9 (9)): 6-Card Resolution #7

In walkthrough RES007, Player opens with 10+K (0) and draws fifth-card A (1) for a modulo-10 total of 1, while Banker opens with 10+K (0) and draws sixth-card 9 (9) for 9 (6-card B outcome).

RES007 Player Path
P:0->1
RES007 Banker Path
B:0->9
RES007 Deal Length
6 Cards
RES007 Showdown
B (1v9)
Engine-Verified Scoreboard · 20 Hands

Read the Board at Table Speed

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Big Road B B P P B P B P P P B B B B P P B P B B
Big Eye Boy = = ≠ = = ≠ = ≠ = = ≠ ≠ = ≠ ≠ = ≠
Small Road ≠ ≠ = ≠ = ≠ ≠ = = ≠ = ≠ ≠ ≠ ≠
Cockroach Pig ≠ ≠ ≠ = ≠ ≠ = = ≠ ≠ ≠ ≠ ≠ =

Scoreboard sequence paired with 6-card resolution RES007 (P0+1->1 vs B0->9).

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

RES007 Four-Card Opening Deal
Player 10+K=0 vs Banker 10+K=0

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

RES007 Fifth-Card Modulo Proof
(0 + 1) mod 10 = 1 via A

Player draws fifth-card A (value 1), transforming two-card 0 into three-card 1.

RES007 Banker Tableau Lookup
BANKER_TABLEAU[0][1] = true

Banker 0 draws sixth-card 9 (9) so (0+9) mod 10 = 9.

RES007 Card Count & Winner
6 Cards -> B (1 vs 9)

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

RES007 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 · RES007

Step-by-Step Card Arithmetic for RES007: P(10+K)+A vs B(10+K)

Matrix coordinate [RES007] isolates Player two-card 0 (10+K) and Banker 0 (10+K); dealing fifth-card A (1) yields raw 1 that retains the rightmost digit to 1.

[RES007-B] Triggered by A (1) in [RES007] (0-point unconditional draw tier), Banker 0 receives 9 (9) and computes (0+9) mod 10 = 9.

Complete 6-Card Resolution Trace for RES007
RES007 StageRES007 CardsRES007 Modulo MathRES007 Status
[RES007:Init]P(10+K)=0 vs B(10+K)=0playerShouldDraw(0)=true4-Card Deal
[RES007:5th]Player +A (1)(0+1) mod 10 = 15th Card Sideways
[RES007:6th]Banker +9 (9)(0+9) mod 10 = 96-Card Final
[RES007:Settle]P=1 vs B=9Winner: BBig Road +B
  • [RES007-1] Confirm [RES007] opening P=0 (10+K) and B=0 (10+K) lack Natural 8/9.
  • [RES007-2] Add [RES007] fifth-card A (1) to P=0 for (0+1) mod 10 = 1.
  • [RES007-3] Run [RES007] BANKER_TABLEAU[0][1]=true to settle 1 vs 9 (B).
SETTLEMENT & SCOREBOARD · RES007

Showdown Settlement & Scoreboard Logging for RES007 (1 vs 9)

[RES007-C9] Comparing [RES007] final totals (6c), Player 1 vs Banker 9 awards [RES007] to Banker (B), which pays 0.95:1 on 5%-commission [RES007] layouts (or 0.5:1 on 6 at No-Commission [RES007] tables) and appends B to BBPPBPBPPP.

[RES007-D6] Side-bet & road check for [RES007] (P0+1->1 vs B0->9, 6c): [RES007] leaves [RES007] Dragon 7 inactive (needs winning 6c Banker 7, got 6c B=9) and leaves [RES007] Panda 8 inactive (needs winning 3c Player 8, got P=1); on [RES007] derived roads, Red (=) marks repeating Big Road depth and Blue (≠) marks breaking depth.

Table Reality Check

Myth vs. Truth

MythIn RES007, Banker 0 evaluates Player's three-card total (1) before deciding whether to draw.
TruthBanker 0 inspects only Player's fifth card A (value 1) via BANKER_TABLEAU[0][1] = true.
MythBecause RES007 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