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FINAL TOTAL RESOLUTION [RES029] · 6-CARD PROOF

Player 4 + 4 (4) vs. Banker 0 (Draws 2 (2)): 6-Card Resolution #29

In walkthrough RES029, Player opens with 2+2 (4) and draws fifth-card 4 (4) for a modulo-10 total of 8, while Banker opens with 10+K (0) and draws sixth-card 2 (2) for 2 (6-card P outcome).

RES029 Player Path
P:4->8
RES029 Banker Path
B:0->2
RES029 Deal Length
6 Cards
RES029 Showdown
P (8v2)
Engine-Verified Scoreboard · 20 Hands

Read the Board at Table Speed

Open this shoe in /calculator
Big Road B B P P B B P P P B B B B P P B P P P B
Big Eye Boy = = = = = ≠ ≠ = = ≠ ≠ = ≠ ≠ ≠ = ≠
Small Road = = = ≠ ≠ = ≠ = ≠ = ≠ ≠ = ≠ ≠
Cockroach Pig = ≠ ≠ = ≠ = ≠ = = ≠ = = ≠

Scoreboard sequence paired with 6-card resolution RES029 (P4+4->8 vs B0->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

RES029 Four-Card Opening Deal
Player 2+2=4 vs Banker 10+K=0

Verified non-natural start via handTotal([2,2])=4 and handTotal([10,K])=0.

RES029 Fifth-Card Modulo Proof
(4 + 4) mod 10 = 8 via 4

Player draws fifth-card 4 (value 4), transforming two-card 4 into three-card 8.

RES029 Banker Tableau Lookup
BANKER_TABLEAU[0][4] = true

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

RES029 Card Count & Winner
6 Cards -> P (8 vs 2)

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

RES029 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 · RES029

Step-by-Step Card Arithmetic for RES029: P(2+2)+4 vs B(10+K)

[RES029] Walkthrough #29 begins with Player holding 2+2 (4) against Banker 10+K (0); since neither side holds 8 or 9, Player draws fifth-card 4 (4) so 4+4=8 applies base-10 modular addition to 8.

[RES029-B] Evaluating bankerShouldDraw(0, 4)=true (0-point unconditional draw tier) in [RES029], sixth-card 2 (2) advances Banker 0 via 0+2=2 to 2.

Complete 6-Card Resolution Trace for RES029
RES029 StageRES029 CardsRES029 Modulo MathRES029 Status
[RES029:Init]P(2+2)=4 vs B(10+K)=0playerShouldDraw(4)=true4-Card Deal
[RES029:5th]Player +4 (4)(4+4) mod 10 = 85th Card Sideways
[RES029:6th]Banker +2 (2)(0+2) mod 10 = 26-Card Final
[RES029:Settle]P=8 vs B=2Winner: PBig Road +P
  • [RES029-1] Confirm [RES029] opening P=4 (2+2) and B=0 (10+K) lack Natural 8/9.
  • [RES029-2] Add [RES029] fifth-card 4 (4) to P=4 for (4+4) mod 10 = 8.
  • [RES029-3] Run [RES029] BANKER_TABLEAU[0][4]=true to settle 8 vs 2 (P).
SETTLEMENT & SCOREBOARD · RES029

Showdown Settlement & Scoreboard Logging for RES029 (8 vs 2)

[RES029-C9] Comparing [RES029] final totals (6c), Player 8 vs Banker 2 awards [RES029] to Player (P), which pays 1:1 even money on [RES029] Player boxes with zero commission deducted and appends P to BBPPBBPPPB.

[RES029-D9] Side-bet & road check for [RES029] (P4+4->8 vs B0->2, 6c): [RES029] leaves [RES029] Dragon 7 inactive (needs winning 6c Banker 7, got 6c B=2) and triggers [RES029] Panda 8 (winning 3-card Player 8, 25:1); on [RES029] derived roads, Red (=) marks repeating Big Road depth and Blue (≠) marks breaking depth.

Table Reality Check

Myth vs. Truth

MythIn RES029, Banker 0 evaluates Player's three-card total (8) before deciding whether to draw.
TruthBanker 0 inspects only Player's fifth card 4 (value 4) via BANKER_TABLEAU[0][4] = true.
MythBecause RES029 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.
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  • Structured step-by-step track across Foundations, Big Eye Boy, Small Road, and Cockroach Pig
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