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FINAL TOTAL RESOLUTION [RES280] · 6-CARD PROOF

Player 3 + 6 (6) vs. Banker 4 (Draws 10 (0)): 6-Card Resolution #280

In walkthrough RES280, Player opens with 9+4 (3) and draws fifth-card 6 (6) for a modulo-10 total of 9, while Banker opens with A+3 (4) and draws sixth-card 10 (0) for 4 (6-card P outcome).

RES280 Player Path
P:3->9
RES280 Banker Path
B:4->4
RES280 Deal Length
6 Cards
RES280 Showdown
P (9v4)
Engine-Verified Scoreboard · 20 Hands

Read the Board at Table Speed

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

Scoreboard sequence paired with 6-card resolution RES280 (P3+6->9 vs B4->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

Column 5 has 1 bead. Column 3 has 1 bead. Same depth → red (=).

  1. Column 6 starts, so use Rule 1: compare Column 5 with Column 3, 2 columns further back.
  2. Column 5 has 1 bead. Column 3 has 1 bead. Same depth → red (=).

Common table reading watchout: Comparing the wrong columns. Compare Column 5, the one that just finished, with Column 3.

Cockroach Pig Mark #3

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

  1. Column 6 goes down to Row 2, so use Rule 2: look 3 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.

Verified Reference Data

Key Facts & Table Specifications

RES280 Four-Card Opening Deal
Player 9+4=3 vs Banker A+3=4

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

RES280 Fifth-Card Modulo Proof
(3 + 6) mod 10 = 9 via 6

Player draws fifth-card 6 (value 6), transforming two-card 3 into three-card 9.

RES280 Banker Tableau Lookup
BANKER_TABLEAU[4][6] = true

Banker 4 draws sixth-card 10 (0) so (4+0) mod 10 = 4.

RES280 Card Count & Winner
6 Cards -> P (9 vs 4)

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

RES280 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 · RES280

Step-by-Step Card Arithmetic for RES280: P(9+4)+6 vs B(A+3)

Step-by-step proof [RES280] pairs Player 9+4 (3) with Banker A+3 (4); because 3 sits in the 0..5 draw zone, fifth-card 6 (6) lands and 3+6=9 resolves the unit-digit sum to 9.

[RES280-B] Triggered by 6 (6) in [RES280] (4-point six-value gate (2..7)), Banker 4 receives 10 (0) and computes (4+0) mod 10 = 4.

Complete 6-Card Resolution Trace for RES280
RES280 StageRES280 CardsRES280 Modulo MathRES280 Status
[RES280:Init]P(9+4)=3 vs B(A+3)=4playerShouldDraw(3)=true4-Card Deal
[RES280:5th]Player +6 (6)(3+6) mod 10 = 95th Card Sideways
[RES280:6th]Banker +10 (0)(4+0) mod 10 = 46-Card Final
[RES280:Settle]P=9 vs B=4Winner: PBig Road +P
  • [RES280-1] Confirm [RES280] opening P=3 (9+4) and B=4 (A+3) lack Natural 8/9.
  • [RES280-2] Add [RES280] fifth-card 6 (6) to P=3 for (3+6) mod 10 = 9.
  • [RES280-3] Run [RES280] BANKER_TABLEAU[4][6]=true to settle 9 vs 4 (P).
SETTLEMENT & SCOREBOARD · RES280

Showdown Settlement & Scoreboard Logging for RES280 (9 vs 4)

[RES280-C10] Comparing [RES280] final totals (6c), Player 9 vs Banker 4 awards [RES280] to Player (P), which pays 1:1 even money on [RES280] Player boxes with zero commission deducted and appends P to PPBBPBPBBB.

[RES280-D6] Side-bet & road check for [RES280] (P3+6->9 vs B4->4, 6c): [RES280] leaves [RES280] Dragon 7 inactive (needs winning 6c Banker 7, got 6c B=4) and leaves [RES280] Panda 8 inactive (needs winning 3c Player 8, got P=9); on [RES280] derived roads, Red (=) marks repeating Big Road depth and Blue (≠) marks breaking depth.

Table Reality Check

Myth vs. Truth

MythIn RES280, Banker 4 evaluates Player's three-card total (9) before deciding whether to draw.
TruthBanker 4 inspects only Player's fifth card 6 (value 6) via BANKER_TABLEAU[4][6] = true.
MythBecause RES280 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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