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FINAL TOTAL RESOLUTION [RES110] · 6-CARD PROOF

Player 1 + 8 (8) vs. Banker 1 (Draws 7 (7)): 6-Card Resolution #110

In walkthrough RES110, Player opens with 7+4 (1) and draws fifth-card 8 (8) for a modulo-10 total of 9, while Banker opens with 10+A (1) and draws sixth-card 7 (7) for 8 (6-card P outcome).

RES110 Player Path
P:1->9
RES110 Banker Path
B:1->8
RES110 Deal Length
6 Cards
RES110 Showdown
P (9v8)
Engine-Verified Scoreboard · 20 Hands

Read the Board at Table Speed

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

Scoreboard sequence paired with 6-card resolution RES110 (P1+8->9 vs B1->8).

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

This bead is at Row 2. Column 2 has a bead at Row 2 too → red (=).

  1. Column 4 goes down to Row 2, so use Rule 2: look 2 columns 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.

Cockroach Pig Mark #3

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

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

Common table reading watchout: Comparing the wrong columns. Compare Column 4, the one that just finished, with Column 1.

Verified Reference Data

Key Facts & Table Specifications

RES110 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.

RES110 Fifth-Card Modulo Proof
(1 + 8) mod 10 = 9 via 8

Player draws fifth-card 8 (value 8), transforming two-card 1 into three-card 9.

RES110 Banker Tableau Lookup
BANKER_TABLEAU[1][8] = true

Banker 1 draws sixth-card 7 (7) so (1+7) mod 10 = 8.

RES110 Card Count & Winner
6 Cards -> P (9 vs 8)

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

RES110 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 · RES110

Step-by-Step Card Arithmetic for RES110: P(7+4)+8 vs B(10+A)

Floor verification [RES110] inspects Player 7+4 (1) versus Banker 10+A (1); once fifth-card 8 (8) is exposed sideways, 1+8=9 drops the tens digit to three-card 9.

[RES110-B] Six-card branch [RES110] activates as 8 (8) hits Banker 1's 1-point automatic draw row; drawing 7 (7) sends 1+7=8 to 8.

Complete 6-Card Resolution Trace for RES110
RES110 StageRES110 CardsRES110 Modulo MathRES110 Status
[RES110:Init]P(7+4)=1 vs B(10+A)=1playerShouldDraw(1)=true4-Card Deal
[RES110:5th]Player +8 (8)(1+8) mod 10 = 95th Card Sideways
[RES110:6th]Banker +7 (7)(1+7) mod 10 = 86-Card Final
[RES110:Settle]P=9 vs B=8Winner: PBig Road +P
  • [RES110-1] Confirm [RES110] opening P=1 (7+4) and B=1 (10+A) lack Natural 8/9.
  • [RES110-2] Add [RES110] fifth-card 8 (8) to P=1 for (1+8) mod 10 = 9.
  • [RES110-3] Run [RES110] BANKER_TABLEAU[1][8]=true to settle 9 vs 8 (P).
SETTLEMENT & SCOREBOARD · RES110

Showdown Settlement & Scoreboard Logging for RES110 (9 vs 8)

[RES110-C7] Comparing [RES110] final totals (6c), Player 9 vs Banker 8 awards [RES110] to Player (P), which pays 1:1 even money on [RES110] Player boxes with zero commission deducted and appends P to PPBBPPBBBP.

[RES110-D10] Side-bet & road check for [RES110] (P1+8->9 vs B1->8, 6c): [RES110] leaves [RES110] Dragon 7 inactive (needs winning 6c Banker 7, got 6c B=8) and leaves [RES110] Panda 8 inactive (needs winning 3c Player 8, got P=9); on [RES110] derived roads, Red (=) marks repeating Big Road depth and Blue (≠) marks breaking depth.

Table Reality Check

Myth vs. Truth

MythIn RES110, Banker 1 evaluates Player's three-card total (9) before deciding whether to draw.
TruthBanker 1 inspects only Player's fifth card 8 (value 8) via BANKER_TABLEAU[1][8] = true.
MythBecause RES110 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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