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FINAL TOTAL RESOLUTION [RES138] · 6-CARD PROOF

Player 5 + 2 (2) vs. Banker 2 (Draws 10 (0)): 6-Card Resolution #138

In walkthrough RES138, Player opens with A+4 (5) and draws fifth-card 2 (2) for a modulo-10 total of 7, while Banker opens with 8+4 (2) and draws sixth-card 10 (0) for 2 (6-card P outcome).

RES138 Player Path
P:5->7
RES138 Banker Path
B:2->2
RES138 Deal Length
6 Cards
RES138 Showdown
P (7v2)
Engine-Verified Scoreboard · 20 Hands

Read the Board at Table Speed

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

Scoreboard sequence paired with 6-card resolution RES138 (P5+2->7 vs B2->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

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

This bead is at Row 4. Column 1 stopped at Row 2, more than one row above → red (=).

  1. Column 3 goes down to Row 4, so use Rule 2: look 2 columns back, at Column 1.
  2. Column 1 stopped at Row 2, more than one row above → red (=).

Common table reading watchout: Thinking "no bead at this row" means blue. It is blue only when Column 1 stopped exactly one row above this bead.

Cockroach Pig Mark #3

Column 5 has 1 bead. 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 1 bead. 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

RES138 Four-Card Opening Deal
Player A+4=5 vs Banker 8+4=2

Verified non-natural start via handTotal([A,4])=5 and handTotal([8,4])=2.

RES138 Fifth-Card Modulo Proof
(5 + 2) mod 10 = 7 via 2

Player draws fifth-card 2 (value 2), transforming two-card 5 into three-card 7.

RES138 Banker Tableau Lookup
BANKER_TABLEAU[2][2] = true

Banker 2 draws sixth-card 10 (0) so (2+0) mod 10 = 2.

RES138 Card Count & Winner
6 Cards -> P (7 vs 2)

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

RES138 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 · RES138

Step-by-Step Card Arithmetic for RES138: P(A+4)+2 vs B(8+4)

Floor verification [RES138] inspects Player A+4 (5) versus Banker 8+4 (2); once fifth-card 2 (2) is exposed sideways, 5+2=7 drops the tens digit to three-card 7.

[RES138-B] Next in [RES138], Banker consults 2-point mandatory draw band: facing fifth-card 2 (2), Banker 2 draws 10 (0) so 2+0=2 -> 2.

Complete 6-Card Resolution Trace for RES138
RES138 StageRES138 CardsRES138 Modulo MathRES138 Status
[RES138:Init]P(A+4)=5 vs B(8+4)=2playerShouldDraw(5)=true4-Card Deal
[RES138:5th]Player +2 (2)(5+2) mod 10 = 75th Card Sideways
[RES138:6th]Banker +10 (0)(2+0) mod 10 = 26-Card Final
[RES138:Settle]P=7 vs B=2Winner: PBig Road +P
  • [RES138-1] Confirm [RES138] opening P=5 (A+4) and B=2 (8+4) lack Natural 8/9.
  • [RES138-2] Add [RES138] fifth-card 2 (2) to P=5 for (5+2) mod 10 = 7.
  • [RES138-3] Run [RES138] BANKER_TABLEAU[2][2]=true to settle 7 vs 2 (P).
SETTLEMENT & SCOREBOARD · RES138

Showdown Settlement & Scoreboard Logging for RES138 (7 vs 2)

[RES138-C4] Comparing [RES138] final totals (6c), Player 7 vs Banker 2 awards [RES138] to Player (P), which pays 1:1 even money on [RES138] Player boxes with zero commission deducted and appends P to PPBBBPPPPB.

[RES138-D2] Side-bet & road check for [RES138] (P5+2->7 vs B2->2, 6c): [RES138] leaves [RES138] Dragon 7 inactive (needs winning 6c Banker 7, got 6c B=2) and leaves [RES138] Panda 8 inactive (needs winning 3c Player 8, got P=7); on [RES138] derived roads, Red (=) marks repeating Big Road depth and Blue (≠) marks breaking depth.

Table Reality Check

Myth vs. Truth

MythIn RES138, Banker 2 evaluates Player's three-card total (7) before deciding whether to draw.
TruthBanker 2 inspects only Player's fifth card 2 (value 2) via BANKER_TABLEAU[2][2] = true.
MythBecause RES138 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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