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FINAL TOTAL RESOLUTION [RES130] · 6-CARD PROOF

Player 3 + A (1) vs. Banker 2 (Draws 3 (3)): 6-Card Resolution #130

In walkthrough RES130, Player opens with 9+4 (3) and draws fifth-card A (1) for a modulo-10 total of 4, while Banker opens with 8+4 (2) and draws sixth-card 3 (3) for 5 (6-card B outcome).

RES130 Player Path
P:3->4
RES130 Banker Path
B:2->5
RES130 Deal Length
6 Cards
RES130 Showdown
B (4v5)
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 RES130 (P3+1->4 vs B2->5).

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

RES130 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.

RES130 Fifth-Card Modulo Proof
(3 + 1) mod 10 = 4 via A

Player draws fifth-card A (value 1), transforming two-card 3 into three-card 4.

RES130 Banker Tableau Lookup
BANKER_TABLEAU[2][1] = true

Banker 2 draws sixth-card 3 (3) so (2+3) mod 10 = 5.

RES130 Card Count & Winner
6 Cards -> B (4 vs 5)

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

RES130 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 · RES130

Step-by-Step Card Arithmetic for RES130: P(9+4)+A vs B(8+4)

Within resolution [RES130], Player's opening 9+4 totals 3 against Banker's 8+4 (2); Punto Banco rules require drawing A (1), and 3+1=4 extracts the terminal digit to 4.

[RES130-B] Acting on A=1 inside [RES130], Banker 2 follows 2-point mandatory draw band and pulls 3 (3) for 2+3=5 -> 5.

Complete 6-Card Resolution Trace for RES130
RES130 StageRES130 CardsRES130 Modulo MathRES130 Status
[RES130:Init]P(9+4)=3 vs B(8+4)=2playerShouldDraw(3)=true4-Card Deal
[RES130:5th]Player +A (1)(3+1) mod 10 = 45th Card Sideways
[RES130:6th]Banker +3 (3)(2+3) mod 10 = 56-Card Final
[RES130:Settle]P=4 vs B=5Winner: BBig Road +B
  • [RES130-1] Confirm [RES130] opening P=3 (9+4) and B=2 (8+4) lack Natural 8/9.
  • [RES130-2] Add [RES130] fifth-card A (1) to P=3 for (3+1) mod 10 = 4.
  • [RES130-3] Run [RES130] BANKER_TABLEAU[2][1]=true to settle 4 vs 5 (B).
SETTLEMENT & SCOREBOARD · RES130

Showdown Settlement & Scoreboard Logging for RES130 (4 vs 5)

[RES130-C8] Comparing [RES130] final totals (6c), Player 4 vs Banker 5 awards [RES130] to Banker (B), which pays 0.95:1 on 5%-commission [RES130] layouts (or 0.5:1 on 6 at No-Commission [RES130] tables) and appends B to PPBBPBPPBB.

[RES130-D8] Side-bet & road check for [RES130] (P3+1->4 vs B2->5, 6c): [RES130] leaves [RES130] Dragon 7 inactive (needs winning 6c Banker 7, got 6c B=5) and leaves [RES130] Panda 8 inactive (needs winning 3c Player 8, got P=4); on [RES130] derived roads, Red (=) marks repeating Big Road depth and Blue (≠) marks breaking depth.

Table Reality Check

Myth vs. Truth

MythIn RES130, Banker 2 evaluates Player's three-card total (4) before deciding whether to draw.
TruthBanker 2 inspects only Player's fifth card A (value 1) via BANKER_TABLEAU[2][1] = true.
MythBecause RES130 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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