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FINAL TOTAL RESOLUTION [RES018] · 6-CARD PROOF

Player 5 + 2 (2) vs. Banker 0 (Draws 8 (8)): 6-Card Resolution #18

In walkthrough RES018, Player opens with A+4 (5) and draws fifth-card 2 (2) for a modulo-10 total of 7, while Banker opens with 6+4 (0) and draws sixth-card 8 (8) for 8 (6-card B outcome).

RES018 Player Path
P:5->7
RES018 Banker Path
B:0->8
RES018 Deal Length
6 Cards
RES018 Showdown
B (7v8)
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 B P B B B P P P B P P
Big Eye Boy = = ≠ = ≠ ≠ = = ≠ ≠ = ≠ = = = ≠ ≠
Small Road ≠ ≠ ≠ ≠ ≠ ≠ = ≠ ≠ ≠ ≠ = ≠ ≠ =
Cockroach Pig ≠ = = ≠ ≠ = = ≠ ≠ = ≠ ≠ = =

Scoreboard sequence paired with 6-card resolution RES018 (P5+2->7 vs B0->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

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

RES018 Four-Card Opening Deal
Player A+4=5 vs Banker 6+4=0

Verified non-natural start via handTotal([A,4])=5 and handTotal([6,4])=0.

RES018 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.

RES018 Banker Tableau Lookup
BANKER_TABLEAU[0][2] = true

Banker 0 draws sixth-card 8 (8) so (0+8) mod 10 = 8.

RES018 Card Count & Winner
6 Cards -> B (7 vs 8)

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

RES018 Derived Road Independence
Red (=) / Blue (≠) Symmetry Only

Big Eye Boy, Small Road, and Cockroach Pig compare Big Road column depths, not B vs P.

MODULO-10 ARITHMETIC · RES018

Step-by-Step Card Arithmetic for RES018: P(A+4)+2 vs B(6+4)

Within resolution [RES018], Player's opening A+4 totals 5 against Banker's 6+4 (0); Punto Banco rules require drawing 2 (2), and 5+2=7 extracts the terminal digit to 7.

[RES018-B] Six-card branch [RES018] activates as 2 (2) hits Banker 0's 0-point unconditional draw tier; drawing 8 (8) sends 0+8=8 to 8.

Complete 6-Card Resolution Trace for RES018
RES018 StageRES018 CardsRES018 Modulo MathRES018 Status
[RES018:Init]P(A+4)=5 vs B(6+4)=0playerShouldDraw(5)=true4-Card Deal
[RES018:5th]Player +2 (2)(5+2) mod 10 = 75th Card Sideways
[RES018:6th]Banker +8 (8)(0+8) mod 10 = 86-Card Final
[RES018:Settle]P=7 vs B=8Winner: BBig Road +B
  • [RES018-1] Confirm [RES018] opening P=5 (A+4) and B=0 (6+4) lack Natural 8/9.
  • [RES018-2] Add [RES018] fifth-card 2 (2) to P=5 for (5+2) mod 10 = 7.
  • [RES018-3] Run [RES018] BANKER_TABLEAU[0][2]=true to settle 7 vs 8 (B).
SETTLEMENT & SCOREBOARD · RES018

Showdown Settlement & Scoreboard Logging for RES018 (7 vs 8)

[RES018-C9] Comparing [RES018] final totals (6c), Player 7 vs Banker 8 awards [RES018] to Banker (B), which pays 0.95:1 on 5%-commission [RES018] layouts (or 0.5:1 on 6 at No-Commission [RES018] tables) and appends B to PPBBPBPPBB.

[RES018-D1] Side-bet & road check for [RES018] (P5+2->7 vs B0->8, 6c): [RES018] leaves [RES018] Dragon 7 inactive (needs winning 6c Banker 7, got 6c B=8) and leaves [RES018] Panda 8 inactive (needs winning 3c Player 8, got P=7); on [RES018] derived roads, Red (=) marks repeating Big Road depth and Blue (≠) marks breaking depth.

Table Reality Check

Myth vs. Truth

MythIn RES018, Banker 0 evaluates Player's three-card total (7) before deciding whether to draw.
TruthBanker 0 inspects only Player's fifth card 2 (value 2) via BANKER_TABLEAU[0][2] = true.
MythBecause RES018 resolves as B, the next derived-road mark must match B'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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