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FINAL TOTAL RESOLUTION [RES064] · 6-CARD PROOF

Player 3 + 10 (0) vs. Banker 1 (Draws 3 (3)): 6-Card Resolution #64

In walkthrough RES064, Player opens with 9+4 (3) and draws fifth-card 10 (0) for a modulo-10 total of 3, while Banker opens with 10+A (1) and draws sixth-card 3 (3) for 4 (6-card B outcome).

RES064 Player Path
P:3->3
RES064 Banker Path
B:1->4
RES064 Deal Length
6 Cards
RES064 Showdown
B (3v4)
Engine-Verified Scoreboard · 20 Hands

Read the Board at Table Speed

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

Scoreboard sequence paired with 6-card resolution RES064 (P3+0->3 vs B1->4).

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 2. Column 3 stopped at Row 1, one row above → blue (≠).

  1. Column 5 goes down to Row 2, so use Rule 2: look 2 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.

Cockroach Pig Mark #3

Column 5 has 2 beads. Column 2 has 2 beads. Same depth → red (=).

  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 2 beads. Same depth → red (=).

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

RES064 Four-Card Opening Deal
Player 9+4=3 vs Banker 10+A=1

Verified non-natural start via handTotal([9,4])=3 and handTotal([10,A])=1.

RES064 Fifth-Card Modulo Proof
(3 + 0) mod 10 = 3 via 10

Player draws fifth-card 10 (value 0), transforming two-card 3 into three-card 3.

RES064 Banker Tableau Lookup
BANKER_TABLEAU[1][0] = true

Banker 1 draws sixth-card 3 (3) so (1+3) mod 10 = 4.

RES064 Card Count & Winner
6 Cards -> B (3 vs 4)

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

RES064 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 · RES064

Step-by-Step Card Arithmetic for RES064: P(9+4)+10 vs B(10+A)

Arithmetic trace [RES064] starts from four-card deal 9+4=3 vs 10+A=1; Player's compulsory draw of 10 (pip value 0) produces raw 3, which wraps modulo-10 to 3.

[RES064-B] Acting on 10=0 inside [RES064], Banker 1 follows 1-point automatic draw row and pulls 3 (3) for 1+3=4 -> 4.

Complete 6-Card Resolution Trace for RES064
RES064 StageRES064 CardsRES064 Modulo MathRES064 Status
[RES064:Init]P(9+4)=3 vs B(10+A)=1playerShouldDraw(3)=true4-Card Deal
[RES064:5th]Player +10 (0)(3+0) mod 10 = 35th Card Sideways
[RES064:6th]Banker +3 (3)(1+3) mod 10 = 46-Card Final
[RES064:Settle]P=3 vs B=4Winner: BBig Road +B
  • [RES064-1] Confirm [RES064] opening P=3 (9+4) and B=1 (10+A) lack Natural 8/9.
  • [RES064-2] Add [RES064] fifth-card 10 (0) to P=3 for (3+0) mod 10 = 3.
  • [RES064-3] Run [RES064] BANKER_TABLEAU[1][0]=true to settle 3 vs 4 (B).
SETTLEMENT & SCOREBOARD · RES064

Showdown Settlement & Scoreboard Logging for RES064 (3 vs 4)

[RES064-C8] Comparing [RES064] final totals (6c), Player 3 vs Banker 4 awards [RES064] to Banker (B), which pays 0.95:1 on 5%-commission [RES064] layouts (or 0.5:1 on 6 at No-Commission [RES064] tables) and appends B to PPBBPBPPBP.

[RES064-D12] Side-bet & road check for [RES064] (P3+0->3 vs B1->4, 6c): [RES064] leaves [RES064] Dragon 7 inactive (needs winning 6c Banker 7, got 6c B=4) and leaves [RES064] Panda 8 inactive (needs winning 3c Player 8, got P=3); on [RES064] derived roads, Red (=) marks repeating Big Road depth and Blue (≠) marks breaking depth.

Table Reality Check

Myth vs. Truth

MythIn RES064, Banker 1 evaluates Player's three-card total (3) before deciding whether to draw.
TruthBanker 1 inspects only Player's fifth card 10 (value 0) via BANKER_TABLEAU[1][0] = true.
MythBecause RES064 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

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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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