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FINAL TOTAL RESOLUTION [RES062] · 6-CARD PROOF

Player 1 + 10 (0) vs. Banker 1 (Draws 5 (5)): 6-Card Resolution #62

In walkthrough RES062, Player opens with 7+4 (1) and draws fifth-card 10 (0) for a modulo-10 total of 1, while Banker opens with 10+A (1) and draws sixth-card 5 (5) for 6 (6-card B outcome).

RES062 Player Path
P:1->1
RES062 Banker Path
B:1->6
RES062 Deal Length
6 Cards
RES062 Showdown
B (1v6)
Engine-Verified Scoreboard · 20 Hands

Read the Board at Table Speed

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

Scoreboard sequence paired with 6-card resolution RES062 (P1+0->1 vs B1->6).

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

This bead is at Row 2. Column 2 has a bead at Row 2 too → red (=).

  1. Column 3 goes down to Row 2, so use Rule 2: look 1 column back, at Column 2.
  2. Column 2 has a bead at Row 2 too → red (=).

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.

Small Road Mark #3

This bead is at Row 2. Column 2 has a bead at Row 2 too → red (=).

  1. Column 4 goes down to Row 2, so use Rule 2: look 2 columns back, at Column 2.
  2. Column 2 has a bead at Row 2 too → red (=).

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

RES062 Four-Card Opening Deal
Player 7+4=1 vs Banker 10+A=1

Verified non-natural start via handTotal([7,4])=1 and handTotal([10,A])=1.

RES062 Fifth-Card Modulo Proof
(1 + 0) mod 10 = 1 via 10

Player draws fifth-card 10 (value 0), transforming two-card 1 into three-card 1.

RES062 Banker Tableau Lookup
BANKER_TABLEAU[1][0] = true

Banker 1 draws sixth-card 5 (5) so (1+5) mod 10 = 6.

RES062 Card Count & Winner
6 Cards -> B (1 vs 6)

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

RES062 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 · RES062

Step-by-Step Card Arithmetic for RES062: P(7+4)+10 vs B(10+A)

Canonical test [RES062] examines Player 1 (7+4) against Banker 1 (10+A); the fifth card 10 (0) brings Player's raw count to 1, which computes the single-digit remainder to 1.

[RES062-B] Because BANKER_TABLEAU[1][0]=true (1-point automatic draw row) in [RES062], Banker 1 takes sixth-card 5 (5) and 1+5=6 settles at 6.

Complete 6-Card Resolution Trace for RES062
RES062 StageRES062 CardsRES062 Modulo MathRES062 Status
[RES062:Init]P(7+4)=1 vs B(10+A)=1playerShouldDraw(1)=true4-Card Deal
[RES062:5th]Player +10 (0)(1+0) mod 10 = 15th Card Sideways
[RES062:6th]Banker +5 (5)(1+5) mod 10 = 66-Card Final
[RES062:Settle]P=1 vs B=6Winner: BBig Road +B
  • [RES062-1] Confirm [RES062] opening P=1 (7+4) and B=1 (10+A) lack Natural 8/9.
  • [RES062-2] Add [RES062] fifth-card 10 (0) to P=1 for (1+0) mod 10 = 1.
  • [RES062-3] Run [RES062] BANKER_TABLEAU[1][0]=true to settle 1 vs 6 (B).
SETTLEMENT & SCOREBOARD · RES062

Showdown Settlement & Scoreboard Logging for RES062 (1 vs 6)

[RES062-C9] Comparing [RES062] final totals (6c), Player 1 vs Banker 6 awards [RES062] to Banker (B), which pays 0.95:1 on 5%-commission [RES062] layouts (or 0.5:1 on 6 at No-Commission [RES062] tables) and appends B to PPBBPPBBBP.

[RES062-D7] Side-bet & road check for [RES062] (P1+0->1 vs B1->6, 6c): [RES062] leaves [RES062] Dragon 7 inactive (needs winning 6c Banker 7, got 6c B=6) and leaves [RES062] Panda 8 inactive (needs winning 3c Player 8, got P=1); on [RES062] derived roads, Red (=) marks repeating Big Road depth and Blue (≠) marks breaking depth.

Table Reality Check

Myth vs. Truth

MythIn RES062, Banker 1 evaluates Player's three-card total (1) before deciding whether to draw.
TruthBanker 1 inspects only Player's fifth card 10 (value 0) via BANKER_TABLEAU[1][0] = true.
MythBecause RES062 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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