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FINAL TOTAL RESOLUTION [RES044] · 6-CARD PROOF

Player 1 + 7 (7) vs. Banker 0 (Draws 7 (7)): 6-Card Resolution #44

In walkthrough RES044, Player opens with 7+4 (1) and draws fifth-card 7 (7) for a modulo-10 total of 8, while Banker opens with 6+4 (0) and draws sixth-card 7 (7) for 7 (6-card P outcome).

RES044 Player Path
P:1->8
RES044 Banker Path
B:0->7
RES044 Deal Length
6 Cards
RES044 Showdown
P (8v7)
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 RES044 (P1+7->8 vs B0->7).

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

RES044 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.

RES044 Fifth-Card Modulo Proof
(1 + 7) mod 10 = 8 via 7

Player draws fifth-card 7 (value 7), transforming two-card 1 into three-card 8.

RES044 Banker Tableau Lookup
BANKER_TABLEAU[0][7] = true

Banker 0 draws sixth-card 7 (7) so (0+7) mod 10 = 7.

RES044 Card Count & Winner
6 Cards -> P (8 vs 7)

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

RES044 Derived Road Independence
Red (=) / Blue (≠) Symmetry Only

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

MODULO-10 ARITHMETIC · RES044

Step-by-Step Card Arithmetic for RES044: P(7+4)+7 vs B(6+4)

Engine check [RES044] confirms `playerShouldDraw(1) === true` on 7+4 vs Banker 6+4 (0); adding fifth-card 7 (7) gives 8, which evaluates modulo ten to 8.

[RES044-B] Six-card branch [RES044] activates as 7 (7) hits Banker 0's 0-point unconditional draw tier; drawing 7 (7) sends 0+7=7 to 7.

Complete 6-Card Resolution Trace for RES044
RES044 StageRES044 CardsRES044 Modulo MathRES044 Status
[RES044:Init]P(7+4)=1 vs B(6+4)=0playerShouldDraw(1)=true4-Card Deal
[RES044:5th]Player +7 (7)(1+7) mod 10 = 85th Card Sideways
[RES044:6th]Banker +7 (7)(0+7) mod 10 = 76-Card Final
[RES044:Settle]P=8 vs B=7Winner: PBig Road +P
  • [RES044-1] Confirm [RES044] opening P=1 (7+4) and B=0 (6+4) lack Natural 8/9.
  • [RES044-2] Add [RES044] fifth-card 7 (7) to P=1 for (1+7) mod 10 = 8.
  • [RES044-3] Run [RES044] BANKER_TABLEAU[0][7]=true to settle 8 vs 7 (P).
SETTLEMENT & SCOREBOARD · RES044

Showdown Settlement & Scoreboard Logging for RES044 (8 vs 7)

[RES044-C7] Comparing [RES044] final totals (6c), Player 8 vs Banker 7 awards [RES044] to Player (P), which pays 1:1 even money on [RES044] Player boxes with zero commission deducted and appends P to PPBBPBBBPP.

[RES044-D1] Side-bet & road check for [RES044] (P1+7->8 vs B0->7, 6c): [RES044] leaves [RES044] Dragon 7 inactive (needs winning 6c Banker 7, got 6c B=7) and triggers [RES044] Panda 8 (winning 3-card Player 8, 25:1); on [RES044] derived roads, Red (=) marks repeating Big Road depth and Blue (≠) marks breaking depth.

Table Reality Check

Myth vs. Truth

MythIn RES044, Banker 0 evaluates Player's three-card total (8) before deciding whether to draw.
TruthBanker 0 inspects only Player's fifth card 7 (value 7) via BANKER_TABLEAU[0][7] = true.
MythBecause RES044 resolves as P, the next derived-road mark must match P'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