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FINAL TOTAL RESOLUTION [RES016] · 6-CARD PROOF

Player 3 + 2 (2) vs. Banker 0 (Draws 10 (0)): 6-Card Resolution #16

In walkthrough RES016, Player opens with 9+4 (3) and draws fifth-card 2 (2) for a modulo-10 total of 5, while Banker opens with 6+4 (0) and draws sixth-card 10 (0) for 0 (6-card P outcome).

RES016 Player Path
P:3->5
RES016 Banker Path
B:0->0
RES016 Deal Length
6 Cards
RES016 Showdown
P (5v0)
Engine-Verified Scoreboard · 20 Hands

Read the Board at Table Speed

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

Scoreboard sequence paired with 6-card resolution RES016 (P3+2->5 vs B0->0).

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 2. Column 3 stopped at Row 1, one row above → blue (≠).

  1. Column 5 goes down to Row 2, so use Rule 2: look 2 columns back, at Column 3.
  2. Column 3 stopped at Row 1, one row above → blue (≠).

Common table reading watchout: Thinking "no bead at this row" means blue. It is blue only when Column 3 stopped exactly one row above this bead.

Cockroach Pig Mark #3

Column 5 has 2 beads. Column 2 has 2 beads. Same depth → red (=).

  1. Column 6 starts, so use Rule 1: compare Column 5 with Column 2, 3 columns further back.
  2. Column 5 has 2 beads. Column 2 has 2 beads. Same depth → red (=).

Common table reading watchout: Comparing the wrong columns. Compare Column 5, the one that just finished, with Column 2.

Verified Reference Data

Key Facts & Table Specifications

RES016 Four-Card Opening Deal
Player 9+4=3 vs Banker 6+4=0

Verified non-natural start via handTotal([9,4])=3 and handTotal([6,4])=0.

RES016 Fifth-Card Modulo Proof
(3 + 2) mod 10 = 5 via 2

Player draws fifth-card 2 (value 2), transforming two-card 3 into three-card 5.

RES016 Banker Tableau Lookup
BANKER_TABLEAU[0][2] = true

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

RES016 Card Count & Winner
6 Cards -> P (5 vs 0)

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

RES016 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 · RES016

Step-by-Step Card Arithmetic for RES016: P(9+4)+2 vs B(6+4)

Engine check [RES016] confirms `playerShouldDraw(3) === true` on 9+4 vs Banker 6+4 (0); adding fifth-card 2 (2) gives 5, which evaluates modulo ten to 5.

[RES016-B] Evaluating bankerShouldDraw(0, 2)=true (0-point unconditional draw tier) in [RES016], sixth-card 10 (0) advances Banker 0 via 0+0=0 to 0.

Complete 6-Card Resolution Trace for RES016
RES016 StageRES016 CardsRES016 Modulo MathRES016 Status
[RES016:Init]P(9+4)=3 vs B(6+4)=0playerShouldDraw(3)=true4-Card Deal
[RES016:5th]Player +2 (2)(3+2) mod 10 = 55th Card Sideways
[RES016:6th]Banker +10 (0)(0+0) mod 10 = 06-Card Final
[RES016:Settle]P=5 vs B=0Winner: PBig Road +P
  • [RES016-1] Confirm [RES016] opening P=3 (9+4) and B=0 (6+4) lack Natural 8/9.
  • [RES016-2] Add [RES016] fifth-card 2 (2) to P=3 for (3+2) mod 10 = 5.
  • [RES016-3] Run [RES016] BANKER_TABLEAU[0][2]=true to settle 5 vs 0 (P).
SETTLEMENT & SCOREBOARD · RES016

Showdown Settlement & Scoreboard Logging for RES016 (5 vs 0)

[RES016-C10] Comparing [RES016] final totals (6c), Player 5 vs Banker 0 awards [RES016] to Player (P), which pays 1:1 even money on [RES016] Player boxes with zero commission deducted and appends P to PPBBPBPPBP.

[RES016-D9] Side-bet & road check for [RES016] (P3+2->5 vs B0->0, 6c): [RES016] leaves [RES016] Dragon 7 inactive (needs winning 6c Banker 7, got 6c B=0) and leaves [RES016] Panda 8 inactive (needs winning 3c Player 8, got P=5); on [RES016] derived roads, Red (=) marks repeating Big Road depth and Blue (≠) marks breaking depth.

Table Reality Check

Myth vs. Truth

MythIn RES016, Banker 0 evaluates Player's three-card total (5) before deciding whether to draw.
TruthBanker 0 inspects only Player's fifth card 2 (value 2) via BANKER_TABLEAU[0][2] = true.
MythBecause RES016 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
  • Cloud Shoe Log and cross-device progress on web, iOS, and Android