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FINAL TOTAL RESOLUTION [RES012] · 6-CARD PROOF

Player 5 + A (1) vs. Banker 0 (Draws 9 (9)): 6-Card Resolution #12

In walkthrough RES012, Player opens with A+4 (5) and draws fifth-card A (1) for a modulo-10 total of 6, while Banker opens with 6+4 (0) and draws sixth-card 9 (9) for 9 (6-card B outcome).

RES012 Player Path
P:5->6
RES012 Banker Path
B:0->9
RES012 Deal Length
6 Cards
RES012 Showdown
B (6v9)
Engine-Verified Scoreboard · 20 Hands

Read the Board at Table Speed

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

Scoreboard sequence paired with 6-card resolution RES012 (P5+1->6 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

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

  1. Column 4 goes down to Row 3, so use Rule 2: look 2 columns back, at Column 2.
  2. Column 2 stopped at Row 2, one row above → blue (≠).

Common table reading watchout: Thinking "no bead at this row" means blue. It is blue only when Column 2 stopped exactly one row above this bead.

Cockroach Pig Mark #3

Column 4 has 3 beads. Column 1 has 2 beads. Different depth → blue (≠).

  1. Column 5 starts, so use Rule 1: compare Column 4 with Column 1, 3 columns further back.
  2. Column 4 has 3 beads. Column 1 has 2 beads. Different depth → blue (≠).

Common table reading watchout: Comparing the wrong columns. Compare Column 4, the one that just finished, with Column 1.

Verified Reference Data

Key Facts & Table Specifications

RES012 Four-Card Opening Deal
Player A+4=5 vs Banker 6+4=0

Verified non-natural start via handTotal([A,4])=5 and handTotal([6,4])=0.

RES012 Fifth-Card Modulo Proof
(5 + 1) mod 10 = 6 via A

Player draws fifth-card A (value 1), transforming two-card 5 into three-card 6.

RES012 Banker Tableau Lookup
BANKER_TABLEAU[0][1] = true

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

RES012 Card Count & Winner
6 Cards -> B (6 vs 9)

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

RES012 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 · RES012

Step-by-Step Card Arithmetic for RES012: P(A+4)+A vs B(6+4)

Floor verification [RES012] inspects Player A+4 (5) versus Banker 6+4 (0); once fifth-card A (1) is exposed sideways, 5+1=6 drops the tens digit to three-card 6.

[RES012-B] Acting on A=1 inside [RES012], Banker 0 follows 0-point unconditional draw tier and pulls 9 (9) for 0+9=9 -> 9.

Complete 6-Card Resolution Trace for RES012
RES012 StageRES012 CardsRES012 Modulo MathRES012 Status
[RES012:Init]P(A+4)=5 vs B(6+4)=0playerShouldDraw(5)=true4-Card Deal
[RES012:5th]Player +A (1)(5+1) mod 10 = 65th Card Sideways
[RES012:6th]Banker +9 (9)(0+9) mod 10 = 96-Card Final
[RES012:Settle]P=6 vs B=9Winner: BBig Road +B
  • [RES012-1] Confirm [RES012] opening P=5 (A+4) and B=0 (6+4) lack Natural 8/9.
  • [RES012-2] Add [RES012] fifth-card A (1) to P=5 for (5+1) mod 10 = 6.
  • [RES012-3] Run [RES012] BANKER_TABLEAU[0][1]=true to settle 6 vs 9 (B).
SETTLEMENT & SCOREBOARD · RES012

Showdown Settlement & Scoreboard Logging for RES012 (6 vs 9)

[RES012-C1] Comparing [RES012] final totals (6c), Player 6 vs Banker 9 awards [RES012] to Banker (B), which pays 0.95:1 on 5%-commission [RES012] layouts (or 0.5:1 on 6 at No-Commission [RES012] tables) and appends B to PPBBPBBBPP.

[RES012-D12] Side-bet & road check for [RES012] (P5+1->6 vs B0->9, 6c): [RES012] leaves [RES012] Dragon 7 inactive (needs winning 6c Banker 7, got 6c B=9) and leaves [RES012] Panda 8 inactive (needs winning 3c Player 8, got P=6); on [RES012] derived roads, Red (=) marks repeating Big Road depth and Blue (≠) marks breaking depth.

Table Reality Check

Myth vs. Truth

MythIn RES012, Banker 0 evaluates Player's three-card total (6) before deciding whether to draw.
TruthBanker 0 inspects only Player's fifth card A (value 1) via BANKER_TABLEAU[0][1] = true.
MythBecause RES012 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