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FINAL TOTAL RESOLUTION [RES144] · 6-CARD PROOF

Player 5 + 3 (3) vs. Banker 2 (Draws 9 (9)): 6-Card Resolution #144

In walkthrough RES144, Player opens with A+4 (5) and draws fifth-card 3 (3) for a modulo-10 total of 8, while Banker opens with 8+4 (2) and draws sixth-card 9 (9) for 1 (6-card P outcome).

RES144 Player Path
P:5->8
RES144 Banker Path
B:2->1
RES144 Deal Length
6 Cards
RES144 Showdown
P (8v1)
Engine-Verified Scoreboard · 20 Hands

Read the Board at Table Speed

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

Scoreboard sequence paired with 6-card resolution RES144 (P5+3->8 vs B2->1).

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

This bead is at Row 2. Column 3 stopped at Row 1, one row above → blue (≠).

  1. Column 5 goes down to Row 2, so use Rule 2: look 2 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.

Cockroach Pig Mark #3

Column 5 has 2 beads. Column 2 has 2 beads. Same depth → red (=).

  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 2 beads. Same depth → red (=).

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

RES144 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.

RES144 Fifth-Card Modulo Proof
(5 + 3) mod 10 = 8 via 3

Player draws fifth-card 3 (value 3), transforming two-card 5 into three-card 8.

RES144 Banker Tableau Lookup
BANKER_TABLEAU[2][3] = true

Banker 2 draws sixth-card 9 (9) so (2+9) mod 10 = 1.

RES144 Card Count & Winner
6 Cards -> P (8 vs 1)

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

RES144 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 · RES144

Step-by-Step Card Arithmetic for RES144: P(A+4)+3 vs B(8+4)

Within resolution [RES144], Player's opening A+4 totals 5 against Banker's 8+4 (2); Punto Banco rules require drawing 3 (3), and 5+3=8 extracts the terminal digit to 8.

[RES144-B] Under 2-point mandatory draw band for [RES144], exposed 3 (3) obligates Banker 2 to draw 9 (9), converting 2+9=11 into 1.

Complete 6-Card Resolution Trace for RES144
RES144 StageRES144 CardsRES144 Modulo MathRES144 Status
[RES144:Init]P(A+4)=5 vs B(8+4)=2playerShouldDraw(5)=true4-Card Deal
[RES144:5th]Player +3 (3)(5+3) mod 10 = 85th Card Sideways
[RES144:6th]Banker +9 (9)(2+9) mod 10 = 16-Card Final
[RES144:Settle]P=8 vs B=1Winner: PBig Road +P
  • [RES144-1] Confirm [RES144] opening P=5 (A+4) and B=2 (8+4) lack Natural 8/9.
  • [RES144-2] Add [RES144] fifth-card 3 (3) to P=5 for (5+3) mod 10 = 8.
  • [RES144-3] Run [RES144] BANKER_TABLEAU[2][3]=true to settle 8 vs 1 (P).
SETTLEMENT & SCOREBOARD · RES144

Showdown Settlement & Scoreboard Logging for RES144 (8 vs 1)

[RES144-C1] Comparing [RES144] final totals (6c), Player 8 vs Banker 1 awards [RES144] to Player (P), which pays 1:1 even money on [RES144] Player boxes with zero commission deducted and appends P to PPBBPBPPBP.

[RES144-D4] Side-bet & road check for [RES144] (P5+3->8 vs B2->1, 6c): [RES144] leaves [RES144] Dragon 7 inactive (needs winning 6c Banker 7, got 6c B=1) and triggers [RES144] Panda 8 (winning 3-card Player 8, 25:1); on [RES144] derived roads, Red (=) marks repeating Big Road depth and Blue (≠) marks breaking depth.

Table Reality Check

Myth vs. Truth

MythIn RES144, Banker 2 evaluates Player's three-card total (8) before deciding whether to draw.
TruthBanker 2 inspects only Player's fifth card 3 (value 3) via BANKER_TABLEAU[2][3] = true.
MythBecause RES144 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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