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FINAL TOTAL RESOLUTION [RES336] · 6-CARD PROOF

Player 5 + 5 (5) vs. Banker 5 (Draws 10 (0)): 6-Card Resolution #336

In walkthrough RES336, Player opens with A+4 (5) and draws fifth-card 5 (5) for a modulo-10 total of 0, while Banker opens with 2+3 (5) and draws sixth-card 10 (0) for 5 (6-card B outcome).

RES336 Player Path
P:5->0
RES336 Banker Path
B:5->5
RES336 Deal Length
6 Cards
RES336 Showdown
B (0v5)
Engine-Verified Scoreboard · 20 Hands

Read the Board at Table Speed

Open this shoe in /calculator
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 RES336 (P5+5->0 vs B5->5).

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

RES336 Four-Card Opening Deal
Player A+4=5 vs Banker 2+3=5

Verified non-natural start via handTotal([A,4])=5 and handTotal([2,3])=5.

RES336 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.

RES336 Banker Tableau Lookup
BANKER_TABLEAU[5][5] = true

Banker 5 draws sixth-card 10 (0) so (5+0) mod 10 = 5.

RES336 Card Count & Winner
6 Cards -> B (0 vs 5)

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

RES336 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 · RES336

Step-by-Step Card Arithmetic for RES336: P(A+4)+5 vs B(2+3)

Step-by-step proof [RES336] pairs Player A+4 (5) with Banker 2+3 (5); because 5 sits in the 0..5 draw zone, fifth-card 5 (5) lands and 5+5=10 resolves the unit-digit sum to 0.

[RES336-B] Because BANKER_TABLEAU[5][5]=true (5-point four-value window (4..7)) in [RES336], Banker 5 takes sixth-card 10 (0) and 5+0=5 settles at 5.

Complete 6-Card Resolution Trace for RES336
RES336 StageRES336 CardsRES336 Modulo MathRES336 Status
[RES336:Init]P(A+4)=5 vs B(2+3)=5playerShouldDraw(5)=true4-Card Deal
[RES336:5th]Player +5 (5)(5+5) mod 10 = 05th Card Sideways
[RES336:6th]Banker +10 (0)(5+0) mod 10 = 56-Card Final
[RES336:Settle]P=0 vs B=5Winner: BBig Road +B
  • [RES336-1] Confirm [RES336] opening P=5 (A+4) and B=5 (2+3) lack Natural 8/9.
  • [RES336-2] Add [RES336] fifth-card 5 (5) to P=5 for (5+5) mod 10 = 0.
  • [RES336-3] Run [RES336] BANKER_TABLEAU[5][5]=true to settle 0 vs 5 (B).
SETTLEMENT & SCOREBOARD · RES336

Showdown Settlement & Scoreboard Logging for RES336 (0 vs 5)

[RES336-C4] Comparing [RES336] final totals (6c), Player 0 vs Banker 5 awards [RES336] to Banker (B), which pays 0.95:1 on 5%-commission [RES336] layouts (or 0.5:1 on 6 at No-Commission [RES336] tables) and appends B to PPBBPBPPBP.

[RES336-D3] Side-bet & road check for [RES336] (P5+5->0 vs B5->5, 6c): [RES336] leaves [RES336] Dragon 7 inactive (needs winning 6c Banker 7, got 6c B=5) and leaves [RES336] Panda 8 inactive (needs winning 3c Player 8, got P=0); on [RES336] derived roads, Red (=) marks repeating Big Road depth and Blue (≠) marks breaking depth.

Table Reality Check

Myth vs. Truth

MythIn RES336, Banker 5 evaluates Player's three-card total (0) before deciding whether to draw.
TruthBanker 5 inspects only Player's fifth card 5 (value 5) via BANKER_TABLEAU[5][5] = true.
MythBecause RES336 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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