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FINAL TOTAL RESOLUTION [RES102] · 6-CARD PROOF

Player 5 + 6 (6) vs. Banker 1 (Draws 5 (5)): 6-Card Resolution #102

In walkthrough RES102, Player opens with A+4 (5) and draws fifth-card 6 (6) for a modulo-10 total of 1, while Banker opens with 10+A (1) and draws sixth-card 5 (5) for 6 (6-card B outcome).

RES102 Player Path
P:5->1
RES102 Banker Path
B:1->6
RES102 Deal Length
6 Cards
RES102 Showdown
B (1v6)
Engine-Verified Scoreboard · 20 Hands

Read the Board at Table Speed

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

Scoreboard sequence paired with 6-card resolution RES102 (P5+6->1 vs B1->6).

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

This bead is at Row 2. Column 2 has a bead at Row 2 too → red (=).

  1. Column 3 goes down to Row 2, so use Rule 2: look 1 column back, at Column 2.
  2. Column 2 has a bead at Row 2 too → red (=).

Common table reading watchout: Thinking "no bead at this row" means blue. It is blue only when Column 2 stopped exactly one row above this bead.

Small Road Mark #3

Column 4 has 1 bead. Column 2 has 2 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 2 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 6 has 1 bead. Column 3 has 2 beads. Different depth → blue (≠).

  1. Column 7 starts, so use Rule 1: compare Column 6 with Column 3, 3 columns further back.
  2. Column 6 has 1 bead. Column 3 has 2 beads. Different depth → blue (≠).

Common table reading watchout: Comparing the wrong columns. Compare Column 6, the one that just finished, with Column 3.

Verified Reference Data

Key Facts & Table Specifications

RES102 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.

RES102 Fifth-Card Modulo Proof
(5 + 6) mod 10 = 1 via 6

Player draws fifth-card 6 (value 6), transforming two-card 5 into three-card 1.

RES102 Banker Tableau Lookup
BANKER_TABLEAU[1][6] = true

Banker 1 draws sixth-card 5 (5) so (1+5) mod 10 = 6.

RES102 Card Count & Winner
6 Cards -> B (1 vs 6)

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

RES102 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 · RES102

Step-by-Step Card Arithmetic for RES102: P(A+4)+6 vs B(10+A)

Within resolution [RES102], Player's opening A+4 totals 5 against Banker's 10+A (1); Punto Banco rules require drawing 6 (6), and 5+6=11 extracts the terminal digit to 1.

[RES102-B] Because BANKER_TABLEAU[1][6]=true (1-point automatic draw row) in [RES102], Banker 1 takes sixth-card 5 (5) and 1+5=6 settles at 6.

Complete 6-Card Resolution Trace for RES102
RES102 StageRES102 CardsRES102 Modulo MathRES102 Status
[RES102:Init]P(A+4)=5 vs B(10+A)=1playerShouldDraw(5)=true4-Card Deal
[RES102:5th]Player +6 (6)(5+6) mod 10 = 15th Card Sideways
[RES102:6th]Banker +5 (5)(1+5) mod 10 = 66-Card Final
[RES102:Settle]P=1 vs B=6Winner: BBig Road +B
  • [RES102-1] Confirm [RES102] opening P=5 (A+4) and B=1 (10+A) lack Natural 8/9.
  • [RES102-2] Add [RES102] fifth-card 6 (6) to P=5 for (5+6) mod 10 = 1.
  • [RES102-3] Run [RES102] BANKER_TABLEAU[1][6]=true to settle 1 vs 6 (B).
SETTLEMENT & SCOREBOARD · RES102

Showdown Settlement & Scoreboard Logging for RES102 (1 vs 6)

[RES102-C0] Comparing [RES102] final totals (6c), Player 1 vs Banker 6 awards [RES102] to Banker (B), which pays 0.95:1 on 5%-commission [RES102] layouts (or 0.5:1 on 6 at No-Commission [RES102] tables) and appends B to PPBBPPBPBP.

[RES102-D3] Side-bet & road check for [RES102] (P5+6->1 vs B1->6, 6c): [RES102] leaves [RES102] Dragon 7 inactive (needs winning 6c Banker 7, got 6c B=6) and leaves [RES102] Panda 8 inactive (needs winning 3c Player 8, got P=1); on [RES102] derived roads, Red (=) marks repeating Big Road depth and Blue (≠) marks breaking depth.

Table Reality Check

Myth vs. Truth

MythIn RES102, Banker 1 evaluates Player's three-card total (1) before deciding whether to draw.
TruthBanker 1 inspects only Player's fifth card 6 (value 6) via BANKER_TABLEAU[1][6] = true.
MythBecause RES102 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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