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FINAL TOTAL RESOLUTION [RES158] · 6-CARD PROOF

Player 1 + 6 (6) vs. Banker 2 (Draws 10 (0)): 6-Card Resolution #158

In walkthrough RES158, Player opens with 7+4 (1) and draws fifth-card 6 (6) for a modulo-10 total of 7, while Banker opens with 8+4 (2) and draws sixth-card 10 (0) for 2 (6-card P outcome).

RES158 Player Path
P:1->7
RES158 Banker Path
B:2->2
RES158 Deal Length
6 Cards
RES158 Showdown
P (7v2)
Engine-Verified Scoreboard · 20 Hands

Read the Board at Table Speed

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

Scoreboard sequence paired with 6-card resolution RES158 (P1+6->7 vs B2->2).

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

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

  1. Column 4 goes down to Row 2, so use Rule 2: look 2 columns 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.

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

RES158 Four-Card Opening Deal
Player 7+4=1 vs Banker 8+4=2

Verified non-natural start via handTotal([7,4])=1 and handTotal([8,4])=2.

RES158 Fifth-Card Modulo Proof
(1 + 6) mod 10 = 7 via 6

Player draws fifth-card 6 (value 6), transforming two-card 1 into three-card 7.

RES158 Banker Tableau Lookup
BANKER_TABLEAU[2][6] = true

Banker 2 draws sixth-card 10 (0) so (2+0) mod 10 = 2.

RES158 Card Count & Winner
6 Cards -> P (7 vs 2)

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

RES158 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 · RES158

Step-by-Step Card Arithmetic for RES158: P(7+4)+6 vs B(8+4)

Within resolution [RES158], Player's opening 7+4 totals 1 against Banker's 8+4 (2); Punto Banco rules require drawing 6 (6), and 1+6=7 extracts the terminal digit to 7.

[RES158-B] Under 2-point mandatory draw band for [RES158], exposed 6 (6) obligates Banker 2 to draw 10 (0), converting 2+0=2 into 2.

Complete 6-Card Resolution Trace for RES158
RES158 StageRES158 CardsRES158 Modulo MathRES158 Status
[RES158:Init]P(7+4)=1 vs B(8+4)=2playerShouldDraw(1)=true4-Card Deal
[RES158:5th]Player +6 (6)(1+6) mod 10 = 75th Card Sideways
[RES158:6th]Banker +10 (0)(2+0) mod 10 = 26-Card Final
[RES158:Settle]P=7 vs B=2Winner: PBig Road +P
  • [RES158-1] Confirm [RES158] opening P=1 (7+4) and B=2 (8+4) lack Natural 8/9.
  • [RES158-2] Add [RES158] fifth-card 6 (6) to P=1 for (1+6) mod 10 = 7.
  • [RES158-3] Run [RES158] BANKER_TABLEAU[2][6]=true to settle 7 vs 2 (P).
SETTLEMENT & SCOREBOARD · RES158

Showdown Settlement & Scoreboard Logging for RES158 (7 vs 2)

[RES158-C5] Comparing [RES158] final totals (6c), Player 7 vs Banker 2 awards [RES158] to Player (P), which pays 1:1 even money on [RES158] Player boxes with zero commission deducted and appends P to PPBBPPBBBP.

[RES158-D0] Side-bet & road check for [RES158] (P1+6->7 vs B2->2, 6c): [RES158] leaves [RES158] Dragon 7 inactive (needs winning 6c Banker 7, got 6c B=2) and leaves [RES158] Panda 8 inactive (needs winning 3c Player 8, got P=7); on [RES158] derived roads, Red (=) marks repeating Big Road depth and Blue (≠) marks breaking depth.

Table Reality Check

Myth vs. Truth

MythIn RES158, Banker 2 evaluates Player's three-card total (7) before deciding whether to draw.
TruthBanker 2 inspects only Player's fifth card 6 (value 6) via BANKER_TABLEAU[2][6] = true.
MythBecause RES158 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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