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FINAL TOTAL RESOLUTION [RES030] · 6-CARD PROOF

Player 5 + 4 (4) vs. Banker 0 (Draws 6 (6)): 6-Card Resolution #30

In walkthrough RES030, Player opens with A+4 (5) and draws fifth-card 4 (4) for a modulo-10 total of 9, while Banker opens with 6+4 (0) and draws sixth-card 6 (6) for 6 (6-card P outcome).

RES030 Player Path
P:5->9
RES030 Banker Path
B:0->6
RES030 Deal Length
6 Cards
RES030 Showdown
P (9v6)
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 RES030 (P5+4->9 vs B0->6).

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

RES030 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.

RES030 Fifth-Card Modulo Proof
(5 + 4) mod 10 = 9 via 4

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

RES030 Banker Tableau Lookup
BANKER_TABLEAU[0][4] = true

Banker 0 draws sixth-card 6 (6) so (0+6) mod 10 = 6.

RES030 Card Count & Winner
6 Cards -> P (9 vs 6)

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

RES030 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 · RES030

Step-by-Step Card Arithmetic for RES030: P(A+4)+4 vs B(6+4)

Engine check [RES030] confirms `playerShouldDraw(5) === true` on A+4 vs Banker 6+4 (0); adding fifth-card 4 (4) gives 9, which evaluates modulo ten to 9.

[RES030-B] Evaluating bankerShouldDraw(0, 4)=true (0-point unconditional draw tier) in [RES030], sixth-card 6 (6) advances Banker 0 via 0+6=6 to 6.

Complete 6-Card Resolution Trace for RES030
RES030 StageRES030 CardsRES030 Modulo MathRES030 Status
[RES030:Init]P(A+4)=5 vs B(6+4)=0playerShouldDraw(5)=true4-Card Deal
[RES030:5th]Player +4 (4)(5+4) mod 10 = 95th Card Sideways
[RES030:6th]Banker +6 (6)(0+6) mod 10 = 66-Card Final
[RES030:Settle]P=9 vs B=6Winner: PBig Road +P
  • [RES030-1] Confirm [RES030] opening P=5 (A+4) and B=0 (6+4) lack Natural 8/9.
  • [RES030-2] Add [RES030] fifth-card 4 (4) to P=5 for (5+4) mod 10 = 9.
  • [RES030-3] Run [RES030] BANKER_TABLEAU[0][4]=true to settle 9 vs 6 (P).
SETTLEMENT & SCOREBOARD · RES030

Showdown Settlement & Scoreboard Logging for RES030 (9 vs 6)

[RES030-C3] Comparing [RES030] final totals (6c), Player 9 vs Banker 6 awards [RES030] to Player (P), which pays 1:1 even money on [RES030] Player boxes with zero commission deducted and appends P to PPBBPPBBBP.

[RES030-D5] Side-bet & road check for [RES030] (P5+4->9 vs B0->6, 6c): [RES030] leaves [RES030] Dragon 7 inactive (needs winning 6c Banker 7, got 6c B=6) and leaves [RES030] Panda 8 inactive (needs winning 3c Player 8, got P=9); on [RES030] derived roads, Red (=) marks repeating Big Road depth and Blue (≠) marks breaking depth.

Table Reality Check

Myth vs. Truth

MythIn RES030, Banker 0 evaluates Player's three-card total (9) before deciding whether to draw.
TruthBanker 0 inspects only Player's fifth card 4 (value 4) via BANKER_TABLEAU[0][4] = true.
MythBecause RES030 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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