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FINAL TOTAL RESOLUTION [RES260] · 6-CARD PROOF

Player 1 + 3 (3) vs. Banker 4 (Draws 5 (5)): 6-Card Resolution #260

In walkthrough RES260, Player opens with 7+4 (1) and draws fifth-card 3 (3) for a modulo-10 total of 4, while Banker opens with A+3 (4) and draws sixth-card 5 (5) for 9 (6-card B outcome).

RES260 Player Path
P:1->4
RES260 Banker Path
B:4->9
RES260 Deal Length
6 Cards
RES260 Showdown
B (4v9)
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 RES260 (P1+3->4 vs B4->9).

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

RES260 Four-Card Opening Deal
Player 7+4=1 vs Banker A+3=4

Verified non-natural start via handTotal([7,4])=1 and handTotal([A,3])=4.

RES260 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.

RES260 Banker Tableau Lookup
BANKER_TABLEAU[4][3] = true

Banker 4 draws sixth-card 5 (5) so (4+5) mod 10 = 9.

RES260 Card Count & Winner
6 Cards -> B (4 vs 9)

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

RES260 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 · RES260

Step-by-Step Card Arithmetic for RES260: P(7+4)+3 vs B(A+3)

Arithmetic trace [RES260] starts from four-card deal 7+4=1 vs A+3=4; Player's compulsory draw of 3 (pip value 3) produces raw 4, which wraps modulo-10 to 4.

[RES260-B] Acting on 3=3 inside [RES260], Banker 4 follows 4-point six-value gate (2..7) and pulls 5 (5) for 4+5=9 -> 9.

Complete 6-Card Resolution Trace for RES260
RES260 StageRES260 CardsRES260 Modulo MathRES260 Status
[RES260:Init]P(7+4)=1 vs B(A+3)=4playerShouldDraw(1)=true4-Card Deal
[RES260:5th]Player +3 (3)(1+3) mod 10 = 45th Card Sideways
[RES260:6th]Banker +5 (5)(4+5) mod 10 = 96-Card Final
[RES260:Settle]P=4 vs B=9Winner: BBig Road +B
  • [RES260-1] Confirm [RES260] opening P=1 (7+4) and B=4 (A+3) lack Natural 8/9.
  • [RES260-2] Add [RES260] fifth-card 3 (3) to P=1 for (1+3) mod 10 = 4.
  • [RES260-3] Run [RES260] BANKER_TABLEAU[4][3]=true to settle 4 vs 9 (B).
SETTLEMENT & SCOREBOARD · RES260

Showdown Settlement & Scoreboard Logging for RES260 (4 vs 9)

[RES260-C9] Comparing [RES260] final totals (6c), Player 4 vs Banker 9 awards [RES260] to Banker (B), which pays 0.95:1 on 5%-commission [RES260] layouts (or 0.5:1 on 6 at No-Commission [RES260] tables) and appends B to PPBBBPPBPP.

[RES260-D8] Side-bet & road check for [RES260] (P1+3->4 vs B4->9, 6c): [RES260] leaves [RES260] Dragon 7 inactive (needs winning 6c Banker 7, got 6c B=9) and leaves [RES260] Panda 8 inactive (needs winning 3c Player 8, got P=4); on [RES260] derived roads, Red (=) marks repeating Big Road depth and Blue (≠) marks breaking depth.

Table Reality Check

Myth vs. Truth

MythIn RES260, Banker 4 evaluates Player's three-card total (4) before deciding whether to draw.
TruthBanker 4 inspects only Player's fifth card 3 (value 3) via BANKER_TABLEAU[4][3] = true.
MythBecause RES260 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

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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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