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FINAL TOTAL RESOLUTION [RES264] · 6-CARD PROOF

Player 5 + 3 (3) vs. Banker 4 (Draws A (1)): 6-Card Resolution #264

In walkthrough RES264, Player opens with A+4 (5) and draws fifth-card 3 (3) for a modulo-10 total of 8, while Banker opens with A+3 (4) and draws sixth-card A (1) for 5 (6-card P outcome).

RES264 Player Path
P:5->8
RES264 Banker Path
B:4->5
RES264 Deal Length
6 Cards
RES264 Showdown
P (8v5)
Engine-Verified Scoreboard · 20 Hands

Read the Board at Table Speed

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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 RES264 (P5+3->8 vs B4->5).

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

RES264 Four-Card Opening Deal
Player A+4=5 vs Banker A+3=4

Verified non-natural start via handTotal([A,4])=5 and handTotal([A,3])=4.

RES264 Fifth-Card Modulo Proof
(5 + 3) mod 10 = 8 via 3

Player draws fifth-card 3 (value 3), transforming two-card 5 into three-card 8.

RES264 Banker Tableau Lookup
BANKER_TABLEAU[4][3] = true

Banker 4 draws sixth-card A (1) so (4+1) mod 10 = 5.

RES264 Card Count & Winner
6 Cards -> P (8 vs 5)

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

RES264 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 · RES264

Step-by-Step Card Arithmetic for RES264: P(A+4)+3 vs B(A+3)

Floor verification [RES264] inspects Player A+4 (5) versus Banker A+3 (4); once fifth-card 3 (3) is exposed sideways, 5+3=8 drops the tens digit to three-card 8.

[RES264-B] Evaluating bankerShouldDraw(4, 3)=true (4-point six-value gate (2..7)) in [RES264], sixth-card A (1) advances Banker 4 via 4+1=5 to 5.

Complete 6-Card Resolution Trace for RES264
RES264 StageRES264 CardsRES264 Modulo MathRES264 Status
[RES264:Init]P(A+4)=5 vs B(A+3)=4playerShouldDraw(5)=true4-Card Deal
[RES264:5th]Player +3 (3)(5+3) mod 10 = 85th Card Sideways
[RES264:6th]Banker +A (1)(4+1) mod 10 = 56-Card Final
[RES264:Settle]P=8 vs B=5Winner: PBig Road +P
  • [RES264-1] Confirm [RES264] opening P=5 (A+4) and B=4 (A+3) lack Natural 8/9.
  • [RES264-2] Add [RES264] fifth-card 3 (3) to P=5 for (5+3) mod 10 = 8.
  • [RES264-3] Run [RES264] BANKER_TABLEAU[4][3]=true to settle 8 vs 5 (P).
SETTLEMENT & SCOREBOARD · RES264

Showdown Settlement & Scoreboard Logging for RES264 (8 vs 5)

[RES264-C7] Comparing [RES264] final totals (6c), Player 8 vs Banker 5 awards [RES264] to Player (P), which pays 1:1 even money on [RES264] Player boxes with zero commission deducted and appends P to PPBBPBPBBB.

[RES264-D5] Side-bet & road check for [RES264] (P5+3->8 vs B4->5, 6c): [RES264] leaves [RES264] Dragon 7 inactive (needs winning 6c Banker 7, got 6c B=5) and triggers [RES264] Panda 8 (winning 3-card Player 8, 25:1); on [RES264] derived roads, Red (=) marks repeating Big Road depth and Blue (≠) marks breaking depth.

Table Reality Check

Myth vs. Truth

MythIn RES264, Banker 4 evaluates Player's three-card total (8) before deciding whether to draw.
TruthBanker 4 inspects only Player's fifth card 3 (value 3) via BANKER_TABLEAU[4][3] = true.
MythBecause RES264 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

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  • 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
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