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FINAL TOTAL RESOLUTION [RES216] · 6-CARD PROOF

Player 5 + 5 (5) vs. Banker 3 (Draws 8 (8)): 6-Card Resolution #216

In walkthrough RES216, Player opens with A+4 (5) and draws fifth-card 5 (5) for a modulo-10 total of 0, while Banker opens with 10+3 (3) and draws sixth-card 8 (8) for 1 (6-card B outcome).

RES216 Player Path
P:5->0
RES216 Banker Path
B:3->1
RES216 Deal Length
6 Cards
RES216 Showdown
B (0v1)
Engine-Verified Scoreboard · 20 Hands

Read the Board at Table Speed

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

Scoreboard sequence paired with 6-card resolution RES216 (P5+5->0 vs B3->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

Column 5 has 1 bead. Column 3 has 1 bead. Same depth → red (=).

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

Common table reading watchout: Comparing the wrong columns. Compare Column 5, the one that just finished, with Column 3.

Cockroach Pig Mark #3

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

  1. Column 6 goes down to Row 2, so use Rule 2: look 3 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.

Verified Reference Data

Key Facts & Table Specifications

RES216 Four-Card Opening Deal
Player A+4=5 vs Banker 10+3=3

Verified non-natural start via handTotal([A,4])=5 and handTotal([10,3])=3.

RES216 Fifth-Card Modulo Proof
(5 + 5) mod 10 = 0 via 5

Player draws fifth-card 5 (value 5), transforming two-card 5 into three-card 0.

RES216 Banker Tableau Lookup
BANKER_TABLEAU[3][5] = true

Banker 3 draws sixth-card 8 (8) so (3+8) mod 10 = 1.

RES216 Card Count & Winner
6 Cards -> B (0 vs 1)

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

RES216 Derived Road Independence
Red (=) / Blue (≠) Symmetry Only

Big Eye Boy, Small Road, and Cockroach Pig compare Big Road column depths, not B vs P.

MODULO-10 ARITHMETIC · RES216

Step-by-Step Card Arithmetic for RES216: P(A+4)+5 vs B(10+3)

Canonical test [RES216] examines Player 5 (A+4) against Banker 3 (10+3); the fifth card 5 (5) brings Player's raw count to 10, which computes the single-digit remainder to 0.

[RES216-B] Next in [RES216], Banker consults 3-point single-shade row (0..7, 9): facing fifth-card 5 (5), Banker 3 draws 8 (8) so 3+8=11 -> 1.

Complete 6-Card Resolution Trace for RES216
RES216 StageRES216 CardsRES216 Modulo MathRES216 Status
[RES216:Init]P(A+4)=5 vs B(10+3)=3playerShouldDraw(5)=true4-Card Deal
[RES216:5th]Player +5 (5)(5+5) mod 10 = 05th Card Sideways
[RES216:6th]Banker +8 (8)(3+8) mod 10 = 16-Card Final
[RES216:Settle]P=0 vs B=1Winner: BBig Road +B
  • [RES216-1] Confirm [RES216] opening P=5 (A+4) and B=3 (10+3) lack Natural 8/9.
  • [RES216-2] Add [RES216] fifth-card 5 (5) to P=5 for (5+5) mod 10 = 0.
  • [RES216-3] Run [RES216] BANKER_TABLEAU[3][5]=true to settle 0 vs 1 (B).
SETTLEMENT & SCOREBOARD · RES216

Showdown Settlement & Scoreboard Logging for RES216 (0 vs 1)

[RES216-C9] Comparing [RES216] final totals (6c), Player 0 vs Banker 1 awards [RES216] to Banker (B), which pays 0.95:1 on 5%-commission [RES216] layouts (or 0.5:1 on 6 at No-Commission [RES216] tables) and appends B to PPBBPBPBBB.

[RES216-D2] Side-bet & road check for [RES216] (P5+5->0 vs B3->1, 6c): [RES216] leaves [RES216] Dragon 7 inactive (needs winning 6c Banker 7, got 6c B=1) and leaves [RES216] Panda 8 inactive (needs winning 3c Player 8, got P=0); on [RES216] derived roads, Red (=) marks repeating Big Road depth and Blue (≠) marks breaking depth.

Table Reality Check

Myth vs. Truth

MythIn RES216, Banker 3 evaluates Player's three-card total (0) before deciding whether to draw.
TruthBanker 3 inspects only Player's fifth card 5 (value 5) via BANKER_TABLEAU[3][5] = true.
MythBecause RES216 resolves as B, the next derived-road mark must match B'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
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