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FINAL TOTAL RESOLUTION [RES060] · 6-CARD PROOF

Player 5 + 9 (9) vs. Banker 0 (Draws A (1)): 6-Card Resolution #60

In walkthrough RES060, Player opens with A+4 (5) and draws fifth-card 9 (9) for a modulo-10 total of 4, while Banker opens with 6+4 (0) and draws sixth-card A (1) for 1 (6-card P outcome).

RES060 Player Path
P:5->4
RES060 Banker Path
B:0->1
RES060 Deal Length
6 Cards
RES060 Showdown
P (4v1)
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 RES060 (P5+9->4 vs B0->1).

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

RES060 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.

RES060 Fifth-Card Modulo Proof
(5 + 9) mod 10 = 4 via 9

Player draws fifth-card 9 (value 9), transforming two-card 5 into three-card 4.

RES060 Banker Tableau Lookup
BANKER_TABLEAU[0][9] = true

Banker 0 draws sixth-card A (1) so (0+1) mod 10 = 1.

RES060 Card Count & Winner
6 Cards -> P (4 vs 1)

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

RES060 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 · RES060

Step-by-Step Card Arithmetic for RES060: P(A+4)+9 vs B(6+4)

Within resolution [RES060], Player's opening A+4 totals 5 against Banker's 6+4 (0); Punto Banco rules require drawing 9 (9), and 5+9=14 extracts the terminal digit to 4.

[RES060-B] Next in [RES060], Banker consults 0-point unconditional draw tier: facing fifth-card 9 (9), Banker 0 draws A (1) so 0+1=1 -> 1.

Complete 6-Card Resolution Trace for RES060
RES060 StageRES060 CardsRES060 Modulo MathRES060 Status
[RES060:Init]P(A+4)=5 vs B(6+4)=0playerShouldDraw(5)=true4-Card Deal
[RES060:5th]Player +9 (9)(5+9) mod 10 = 45th Card Sideways
[RES060:6th]Banker +A (1)(0+1) mod 10 = 16-Card Final
[RES060:Settle]P=4 vs B=1Winner: PBig Road +P
  • [RES060-1] Confirm [RES060] opening P=5 (A+4) and B=0 (6+4) lack Natural 8/9.
  • [RES060-2] Add [RES060] fifth-card 9 (9) to P=5 for (5+9) mod 10 = 4.
  • [RES060-3] Run [RES060] BANKER_TABLEAU[0][9]=true to settle 4 vs 1 (P).
SETTLEMENT & SCOREBOARD · RES060

Showdown Settlement & Scoreboard Logging for RES060 (4 vs 1)

[RES060-C10] Comparing [RES060] final totals (6c), Player 4 vs Banker 1 awards [RES060] to Player (P), which pays 1:1 even money on [RES060] Player boxes with zero commission deducted and appends P to PPBBPBBBPP.

[RES060-D2] Side-bet & road check for [RES060] (P5+9->4 vs B0->1, 6c): [RES060] leaves [RES060] Dragon 7 inactive (needs winning 6c Banker 7, got 6c B=1) and leaves [RES060] Panda 8 inactive (needs winning 3c Player 8, got P=4); on [RES060] derived roads, Red (=) marks repeating Big Road depth and Blue (≠) marks breaking depth.

Table Reality Check

Myth vs. Truth

MythIn RES060, Banker 0 evaluates Player's three-card total (4) before deciding whether to draw.
TruthBanker 0 inspects only Player's fifth card 9 (value 9) via BANKER_TABLEAU[0][9] = true.
MythBecause RES060 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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