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FINAL TOTAL RESOLUTION [RES148] · 6-CARD PROOF

Player 3 + 4 (4) vs. Banker 2 (Draws 10 (0)): 6-Card Resolution #148

In walkthrough RES148, Player opens with 9+4 (3) and draws fifth-card 4 (4) 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).

RES148 Player Path
P:3->7
RES148 Banker Path
B:2->2
RES148 Deal Length
6 Cards
RES148 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 B P P B B P B B B P P P P
Big Eye Boy = ≠ ≠ = ≠ ≠ ≠ ≠ = = ≠ ≠ = ≠ = = ≠
Small Road = = ≠ = = ≠ ≠ ≠ = ≠ ≠ ≠ = =
Cockroach Pig ≠ = ≠ = = = = ≠ ≠ = ≠ =

Scoreboard sequence paired with 6-card resolution RES148 (P3+4->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

Column 4 has 1 bead. Column 2 has 3 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 3 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 5 has 2 beads. 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 2 beads. 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

RES148 Four-Card Opening Deal
Player 9+4=3 vs Banker 8+4=2

Verified non-natural start via handTotal([9,4])=3 and handTotal([8,4])=2.

RES148 Fifth-Card Modulo Proof
(3 + 4) mod 10 = 7 via 4

Player draws fifth-card 4 (value 4), transforming two-card 3 into three-card 7.

RES148 Banker Tableau Lookup
BANKER_TABLEAU[2][4] = true

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

RES148 Card Count & Winner
6 Cards -> P (7 vs 2)

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

RES148 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 · RES148

Step-by-Step Card Arithmetic for RES148: P(9+4)+4 vs B(8+4)

Arithmetic trace [RES148] starts from four-card deal 9+4=3 vs 8+4=2; Player's compulsory draw of 4 (pip value 4) produces raw 7, which wraps modulo-10 to 7.

[RES148-B] Six-card branch [RES148] activates as 4 (4) hits Banker 2's 2-point mandatory draw band; drawing 10 (0) sends 2+0=2 to 2.

Complete 6-Card Resolution Trace for RES148
RES148 StageRES148 CardsRES148 Modulo MathRES148 Status
[RES148:Init]P(9+4)=3 vs B(8+4)=2playerShouldDraw(3)=true4-Card Deal
[RES148:5th]Player +4 (4)(3+4) mod 10 = 75th Card Sideways
[RES148:6th]Banker +10 (0)(2+0) mod 10 = 26-Card Final
[RES148:Settle]P=7 vs B=2Winner: PBig Road +P
  • [RES148-1] Confirm [RES148] opening P=3 (9+4) and B=2 (8+4) lack Natural 8/9.
  • [RES148-2] Add [RES148] fifth-card 4 (4) to P=3 for (3+4) mod 10 = 7.
  • [RES148-3] Run [RES148] BANKER_TABLEAU[2][4]=true to settle 7 vs 2 (P).
SETTLEMENT & SCOREBOARD · RES148

Showdown Settlement & Scoreboard Logging for RES148 (7 vs 2)

[RES148-C10] Comparing [RES148] final totals (6c), Player 7 vs Banker 2 awards [RES148] to Player (P), which pays 1:1 even money on [RES148] Player boxes with zero commission deducted and appends P to PPBBBPPBPP.

[RES148-D1] Side-bet & road check for [RES148] (P3+4->7 vs B2->2, 6c): [RES148] leaves [RES148] Dragon 7 inactive (needs winning 6c Banker 7, got 6c B=2) and leaves [RES148] Panda 8 inactive (needs winning 3c Player 8, got P=7); on [RES148] derived roads, Red (=) marks repeating Big Road depth and Blue (≠) marks breaking depth.

Table Reality Check

Myth vs. Truth

MythIn RES148, Banker 2 evaluates Player's three-card total (7) before deciding whether to draw.
TruthBanker 2 inspects only Player's fifth card 4 (value 4) via BANKER_TABLEAU[2][4] = true.
MythBecause RES148 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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