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FINAL TOTAL RESOLUTION [RES120] · 6-CARD PROOF

Player 5 + 9 (9) vs. Banker 1 (Draws 2 (2)): 6-Card Resolution #120

In walkthrough RES120, Player opens with A+4 (5) and draws fifth-card 9 (9) for a modulo-10 total of 4, while Banker opens with 10+A (1) and draws sixth-card 2 (2) for 3 (6-card P outcome).

RES120 Player Path
P:5->4
RES120 Banker Path
B:1->3
RES120 Deal Length
6 Cards
RES120 Showdown
P (4v3)
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 RES120 (P5+9->4 vs B1->3).

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

RES120 Four-Card Opening Deal
Player A+4=5 vs Banker 10+A=1

Verified non-natural start via handTotal([A,4])=5 and handTotal([10,A])=1.

RES120 Fifth-Card Modulo Proof
(5 + 9) mod 10 = 4 via 9

Player draws fifth-card 9 (value 9), transforming two-card 5 into three-card 4.

RES120 Banker Tableau Lookup
BANKER_TABLEAU[1][9] = true

Banker 1 draws sixth-card 2 (2) so (1+2) mod 10 = 3.

RES120 Card Count & Winner
6 Cards -> P (4 vs 3)

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

RES120 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 · RES120

Step-by-Step Card Arithmetic for RES120: P(A+4)+9 vs B(10+A)

Arithmetic trace [RES120] starts from four-card deal A+4=5 vs 10+A=1; Player's compulsory draw of 9 (pip value 9) produces raw 14, which wraps modulo-10 to 4.

[RES120-B] Evaluating bankerShouldDraw(1, 9)=true (1-point automatic draw row) in [RES120], sixth-card 2 (2) advances Banker 1 via 1+2=3 to 3.

Complete 6-Card Resolution Trace for RES120
RES120 StageRES120 CardsRES120 Modulo MathRES120 Status
[RES120:Init]P(A+4)=5 vs B(10+A)=1playerShouldDraw(5)=true4-Card Deal
[RES120:5th]Player +9 (9)(5+9) mod 10 = 45th Card Sideways
[RES120:6th]Banker +2 (2)(1+2) mod 10 = 36-Card Final
[RES120:Settle]P=4 vs B=3Winner: PBig Road +P
  • [RES120-1] Confirm [RES120] opening P=5 (A+4) and B=1 (10+A) lack Natural 8/9.
  • [RES120-2] Add [RES120] fifth-card 9 (9) to P=5 for (5+9) mod 10 = 4.
  • [RES120-3] Run [RES120] BANKER_TABLEAU[1][9]=true to settle 4 vs 3 (P).
SETTLEMENT & SCOREBOARD · RES120

Showdown Settlement & Scoreboard Logging for RES120 (4 vs 3)

[RES120-C2] Comparing [RES120] final totals (6c), Player 4 vs Banker 3 awards [RES120] to Player (P), which pays 1:1 even money on [RES120] Player boxes with zero commission deducted and appends P to PPBBPBPBBB.

[RES120-D9] Side-bet & road check for [RES120] (P5+9->4 vs B1->3, 6c): [RES120] leaves [RES120] Dragon 7 inactive (needs winning 6c Banker 7, got 6c B=3) and leaves [RES120] Panda 8 inactive (needs winning 3c Player 8, got P=4); on [RES120] derived roads, Red (=) marks repeating Big Road depth and Blue (≠) marks breaking depth.

Table Reality Check

Myth vs. Truth

MythIn RES120, Banker 1 evaluates Player's three-card total (4) before deciding whether to draw.
TruthBanker 1 inspects only Player's fifth card 9 (value 9) via BANKER_TABLEAU[1][9] = true.
MythBecause RES120 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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