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FINAL TOTAL RESOLUTION [RES086] · 6-CARD PROOF

Player 1 + 4 (4) vs. Banker 1 (Draws A (1)): 6-Card Resolution #86

In walkthrough RES086, Player opens with 7+4 (1) and draws fifth-card 4 (4) for a modulo-10 total of 5, while Banker opens with 10+A (1) and draws sixth-card A (1) for 2 (6-card P outcome).

RES086 Player Path
P:1->5
RES086 Banker Path
B:1->2
RES086 Deal Length
6 Cards
RES086 Showdown
P (5v2)
Engine-Verified Scoreboard · 20 Hands

Read the Board at Table Speed

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

Scoreboard sequence paired with 6-card resolution RES086 (P1+4->5 vs B1->2).

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

Column 4 has 1 bead. Column 2 has 2 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 2 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 6 has 1 bead. Column 3 has 2 beads. Different depth → blue (≠).

  1. Column 7 starts, so use Rule 1: compare Column 6 with Column 3, 3 columns further back.
  2. Column 6 has 1 bead. Column 3 has 2 beads. Different depth → blue (≠).

Common table reading watchout: Comparing the wrong columns. Compare Column 6, the one that just finished, with Column 3.

Verified Reference Data

Key Facts & Table Specifications

RES086 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.

RES086 Fifth-Card Modulo Proof
(1 + 4) mod 10 = 5 via 4

Player draws fifth-card 4 (value 4), transforming two-card 1 into three-card 5.

RES086 Banker Tableau Lookup
BANKER_TABLEAU[1][4] = true

Banker 1 draws sixth-card A (1) so (1+1) mod 10 = 2.

RES086 Card Count & Winner
6 Cards -> P (5 vs 2)

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

RES086 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 · RES086

Step-by-Step Card Arithmetic for RES086: P(7+4)+4 vs B(10+A)

Engine check [RES086] confirms `playerShouldDraw(1) === true` on 7+4 vs Banker 10+A (1); adding fifth-card 4 (4) gives 5, which evaluates modulo ten to 5.

[RES086-B] Next in [RES086], Banker consults 1-point automatic draw row: facing fifth-card 4 (4), Banker 1 draws A (1) so 1+1=2 -> 2.

Complete 6-Card Resolution Trace for RES086
RES086 StageRES086 CardsRES086 Modulo MathRES086 Status
[RES086:Init]P(7+4)=1 vs B(10+A)=1playerShouldDraw(1)=true4-Card Deal
[RES086:5th]Player +4 (4)(1+4) mod 10 = 55th Card Sideways
[RES086:6th]Banker +A (1)(1+1) mod 10 = 26-Card Final
[RES086:Settle]P=5 vs B=2Winner: PBig Road +P
  • [RES086-1] Confirm [RES086] opening P=1 (7+4) and B=1 (10+A) lack Natural 8/9.
  • [RES086-2] Add [RES086] fifth-card 4 (4) to P=1 for (1+4) mod 10 = 5.
  • [RES086-3] Run [RES086] BANKER_TABLEAU[1][4]=true to settle 5 vs 2 (P).
SETTLEMENT & SCOREBOARD · RES086

Showdown Settlement & Scoreboard Logging for RES086 (5 vs 2)

[RES086-C8] Comparing [RES086] final totals (6c), Player 5 vs Banker 2 awards [RES086] to Player (P), which pays 1:1 even money on [RES086] Player boxes with zero commission deducted and appends P to PPBBPPBPBP.

[RES086-D2] Side-bet & road check for [RES086] (P1+4->5 vs B1->2, 6c): [RES086] leaves [RES086] Dragon 7 inactive (needs winning 6c Banker 7, got 6c B=2) and leaves [RES086] Panda 8 inactive (needs winning 3c Player 8, got P=5); on [RES086] derived roads, Red (=) marks repeating Big Road depth and Blue (≠) marks breaking depth.

Table Reality Check

Myth vs. Truth

MythIn RES086, Banker 1 evaluates Player's three-card total (5) before deciding whether to draw.
TruthBanker 1 inspects only Player's fifth card 4 (value 4) via BANKER_TABLEAU[1][4] = true.
MythBecause RES086 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
  • 74 interactive lesson scoreboards and 94 inline quiz checks with plain-English mark feedback
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