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FINAL TOTAL RESOLUTION [RES284] · 6-CARD PROOF

Player 1 + 7 (7) vs. Banker 4 (Draws A (1)): 6-Card Resolution #284

In walkthrough RES284, Player opens with 7+4 (1) and draws fifth-card 7 (7) for a modulo-10 total of 8, while Banker opens with A+3 (4) and draws sixth-card A (1) for 5 (6-card P outcome).

RES284 Player Path
P:1->8
RES284 Banker Path
B:4->5
RES284 Deal Length
6 Cards
RES284 Showdown
P (8v5)
Engine-Verified Scoreboard · 20 Hands

Read the Board at Table Speed

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

Scoreboard sequence paired with 6-card resolution RES284 (P1+7->8 vs B4->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 3. Column 2 stopped at Row 2, one row above → blue (≠).

  1. Column 4 goes down to Row 3, so use Rule 2: look 2 columns back, at Column 2.
  2. Column 2 stopped at Row 2, one row above → blue (≠).

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.

Cockroach Pig Mark #3

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

  1. Column 5 starts, so use Rule 1: compare Column 4 with Column 1, 3 columns further back.
  2. Column 4 has 3 beads. Column 1 has 2 beads. Different depth → blue (≠).

Common table reading watchout: Comparing the wrong columns. Compare Column 4, the one that just finished, with Column 1.

Verified Reference Data

Key Facts & Table Specifications

RES284 Four-Card Opening Deal
Player 7+4=1 vs Banker A+3=4

Verified non-natural start via handTotal([7,4])=1 and handTotal([A,3])=4.

RES284 Fifth-Card Modulo Proof
(1 + 7) mod 10 = 8 via 7

Player draws fifth-card 7 (value 7), transforming two-card 1 into three-card 8.

RES284 Banker Tableau Lookup
BANKER_TABLEAU[4][7] = true

Banker 4 draws sixth-card A (1) so (4+1) mod 10 = 5.

RES284 Card Count & Winner
6 Cards -> P (8 vs 5)

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

RES284 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 · RES284

Step-by-Step Card Arithmetic for RES284: P(7+4)+7 vs B(A+3)

Within resolution [RES284], Player's opening 7+4 totals 1 against Banker's A+3 (4); Punto Banco rules require drawing 7 (7), and 1+7=8 extracts the terminal digit to 8.

[RES284-B] Because BANKER_TABLEAU[4][7]=true (4-point six-value gate (2..7)) in [RES284], Banker 4 takes sixth-card A (1) and 4+1=5 settles at 5.

Complete 6-Card Resolution Trace for RES284
RES284 StageRES284 CardsRES284 Modulo MathRES284 Status
[RES284:Init]P(7+4)=1 vs B(A+3)=4playerShouldDraw(1)=true4-Card Deal
[RES284:5th]Player +7 (7)(1+7) mod 10 = 85th Card Sideways
[RES284:6th]Banker +A (1)(4+1) mod 10 = 56-Card Final
[RES284:Settle]P=8 vs B=5Winner: PBig Road +P
  • [RES284-1] Confirm [RES284] opening P=1 (7+4) and B=4 (A+3) lack Natural 8/9.
  • [RES284-2] Add [RES284] fifth-card 7 (7) to P=1 for (1+7) mod 10 = 8.
  • [RES284-3] Run [RES284] BANKER_TABLEAU[4][7]=true to settle 8 vs 5 (P).
SETTLEMENT & SCOREBOARD · RES284

Showdown Settlement & Scoreboard Logging for RES284 (8 vs 5)

[RES284-C8] Comparing [RES284] final totals (6c), Player 8 vs Banker 5 awards [RES284] to Player (P), which pays 1:1 even money on [RES284] Player boxes with zero commission deducted and appends P to PPBBPBBBPP.

[RES284-D3] Side-bet & road check for [RES284] (P1+7->8 vs B4->5, 6c): [RES284] leaves [RES284] Dragon 7 inactive (needs winning 6c Banker 7, got 6c B=5) and triggers [RES284] Panda 8 (winning 3-card Player 8, 25:1); on [RES284] derived roads, Red (=) marks repeating Big Road depth and Blue (≠) marks breaking depth.

Table Reality Check

Myth vs. Truth

MythIn RES284, Banker 4 evaluates Player's three-card total (8) before deciding whether to draw.
TruthBanker 4 inspects only Player's fifth card 7 (value 7) via BANKER_TABLEAU[4][7] = true.
MythBecause RES284 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

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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