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FINAL TOTAL RESOLUTION [RES020] · 6-CARD PROOF

Player 1 + 3 (3) vs. Banker 0 (Draws A (1)): 6-Card Resolution #20

In walkthrough RES020, Player opens with 7+4 (1) and draws fifth-card 3 (3) for a modulo-10 total of 4, while Banker opens with 6+4 (0) and draws sixth-card A (1) for 1 (6-card P outcome).

RES020 Player Path
P:1->4
RES020 Banker Path
B:0->1
RES020 Deal Length
6 Cards
RES020 Showdown
P (4v1)
Engine-Verified Scoreboard · 20 Hands

Read the Board at Table Speed

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

Scoreboard sequence paired with 6-card resolution RES020 (P1+3->4 vs B0->1).

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

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

Common table reading watchout: Comparing the wrong columns. Compare Column 2, the one that just finished, with Column 1.

Small Road Mark #3

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

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

Common table reading watchout: Comparing the wrong columns. Compare Column 4, the one that just finished, with Column 2.

Cockroach Pig Mark #3

Column 5 has 2 beads. Column 2 has 3 beads. Different depth → blue (≠).

  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 3 beads. Different depth → blue (≠).

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

RES020 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.

RES020 Fifth-Card Modulo Proof
(1 + 3) mod 10 = 4 via 3

Player draws fifth-card 3 (value 3), transforming two-card 1 into three-card 4.

RES020 Banker Tableau Lookup
BANKER_TABLEAU[0][3] = true

Banker 0 draws sixth-card A (1) so (0+1) mod 10 = 1.

RES020 Card Count & Winner
6 Cards -> P (4 vs 1)

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

RES020 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 · RES020

Step-by-Step Card Arithmetic for RES020: P(7+4)+3 vs B(6+4)

Canonical test [RES020] examines Player 1 (7+4) against Banker 0 (6+4); the fifth card 3 (3) brings Player's raw count to 4, which computes the single-digit remainder to 4.

[RES020-B] Triggered by 3 (3) in [RES020] (0-point unconditional draw tier), Banker 0 receives A (1) and computes (0+1) mod 10 = 1.

Complete 6-Card Resolution Trace for RES020
RES020 StageRES020 CardsRES020 Modulo MathRES020 Status
[RES020:Init]P(7+4)=1 vs B(6+4)=0playerShouldDraw(1)=true4-Card Deal
[RES020:5th]Player +3 (3)(1+3) mod 10 = 45th Card Sideways
[RES020:6th]Banker +A (1)(0+1) mod 10 = 16-Card Final
[RES020:Settle]P=4 vs B=1Winner: PBig Road +P
  • [RES020-1] Confirm [RES020] opening P=1 (7+4) and B=0 (6+4) lack Natural 8/9.
  • [RES020-2] Add [RES020] fifth-card 3 (3) to P=1 for (1+3) mod 10 = 4.
  • [RES020-3] Run [RES020] BANKER_TABLEAU[0][3]=true to settle 4 vs 1 (P).
SETTLEMENT & SCOREBOARD · RES020

Showdown Settlement & Scoreboard Logging for RES020 (4 vs 1)

[RES020-C8] Comparing [RES020] final totals (6c), Player 4 vs Banker 1 awards [RES020] to Player (P), which pays 1:1 even money on [RES020] Player boxes with zero commission deducted and appends P to PPBBBPPBPP.

[RES020-D6] Side-bet & road check for [RES020] (P1+3->4 vs B0->1, 6c): [RES020] leaves [RES020] Dragon 7 inactive (needs winning 6c Banker 7, got 6c B=1) and leaves [RES020] Panda 8 inactive (needs winning 3c Player 8, got P=4); on [RES020] derived roads, Red (=) marks repeating Big Road depth and Blue (≠) marks breaking depth.

Table Reality Check

Myth vs. Truth

MythIn RES020, Banker 0 evaluates Player's three-card total (4) before deciding whether to draw.
TruthBanker 0 inspects only Player's fifth card 3 (value 3) via BANKER_TABLEAU[0][3] = true.
MythBecause RES020 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

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  • Structured step-by-step track across Foundations, Big Eye Boy, Small Road, and Cockroach Pig
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