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FINAL TOTAL RESOLUTION [RES258] · 6-CARD PROOF

Player 5 + 2 (2) vs. Banker 4 (Draws 2 (2)): 6-Card Resolution #258

In walkthrough RES258, Player opens with A+4 (5) and draws fifth-card 2 (2) for a modulo-10 total of 7, while Banker opens with A+3 (4) and draws sixth-card 2 (2) for 6 (6-card P outcome).

RES258 Player Path
P:5->7
RES258 Banker Path
B:4->6
RES258 Deal Length
6 Cards
RES258 Showdown
P (7v6)
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 B P B B B P P P B P P
Big Eye Boy = = ≠ = ≠ ≠ = = ≠ ≠ = ≠ = = = ≠ ≠
Small Road ≠ ≠ ≠ ≠ ≠ ≠ = ≠ ≠ ≠ ≠ = ≠ ≠ =
Cockroach Pig ≠ = = ≠ ≠ = = ≠ ≠ = ≠ ≠ = =

Scoreboard sequence paired with 6-card resolution RES258 (P5+2->7 vs B4->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

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

RES258 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.

RES258 Fifth-Card Modulo Proof
(5 + 2) mod 10 = 7 via 2

Player draws fifth-card 2 (value 2), transforming two-card 5 into three-card 7.

RES258 Banker Tableau Lookup
BANKER_TABLEAU[4][2] = true

Banker 4 draws sixth-card 2 (2) so (4+2) mod 10 = 6.

RES258 Card Count & Winner
6 Cards -> P (7 vs 6)

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

RES258 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 · RES258

Step-by-Step Card Arithmetic for RES258: P(A+4)+2 vs B(A+3)

Canonical test [RES258] examines Player 5 (A+4) against Banker 4 (A+3); the fifth card 2 (2) brings Player's raw count to 7, which computes the single-digit remainder to 7.

[RES258-B] Because BANKER_TABLEAU[4][2]=true (4-point six-value gate (2..7)) in [RES258], Banker 4 takes sixth-card 2 (2) and 4+2=6 settles at 6.

Complete 6-Card Resolution Trace for RES258
RES258 StageRES258 CardsRES258 Modulo MathRES258 Status
[RES258:Init]P(A+4)=5 vs B(A+3)=4playerShouldDraw(5)=true4-Card Deal
[RES258:5th]Player +2 (2)(5+2) mod 10 = 75th Card Sideways
[RES258:6th]Banker +2 (2)(4+2) mod 10 = 66-Card Final
[RES258:Settle]P=7 vs B=6Winner: PBig Road +P
  • [RES258-1] Confirm [RES258] opening P=5 (A+4) and B=4 (A+3) lack Natural 8/9.
  • [RES258-2] Add [RES258] fifth-card 2 (2) to P=5 for (5+2) mod 10 = 7.
  • [RES258-3] Run [RES258] BANKER_TABLEAU[4][2]=true to settle 7 vs 6 (P).
SETTLEMENT & SCOREBOARD · RES258

Showdown Settlement & Scoreboard Logging for RES258 (7 vs 6)

[RES258-C10] Comparing [RES258] final totals (6c), Player 7 vs Banker 6 awards [RES258] to Player (P), which pays 1:1 even money on [RES258] Player boxes with zero commission deducted and appends P to PPBBPBPPBB.

[RES258-D3] Side-bet & road check for [RES258] (P5+2->7 vs B4->6, 6c): [RES258] leaves [RES258] Dragon 7 inactive (needs winning 6c Banker 7, got 6c B=6) and leaves [RES258] Panda 8 inactive (needs winning 3c Player 8, got P=7); on [RES258] derived roads, Red (=) marks repeating Big Road depth and Blue (≠) marks breaking depth.

Table Reality Check

Myth vs. Truth

MythIn RES258, Banker 4 evaluates Player's three-card total (7) before deciding whether to draw.
TruthBanker 4 inspects only Player's fifth card 2 (value 2) via BANKER_TABLEAU[4][2] = true.
MythBecause RES258 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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