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FINAL TOTAL RESOLUTION [RES335] · 6-CARD PROOF

Player 4 + 5 (5) vs. Banker 5 (Draws 6 (6)): 6-Card Resolution #335

In walkthrough RES335, Player opens with 2+2 (4) and draws fifth-card 5 (5) for a modulo-10 total of 9, while Banker opens with A+4 (5) and draws sixth-card 6 (6) for 1 (6-card P outcome).

RES335 Player Path
P:4->9
RES335 Banker Path
B:5->1
RES335 Deal Length
6 Cards
RES335 Showdown
P (9v1)
Engine-Verified Scoreboard · 20 Hands

Read the Board at Table Speed

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

Scoreboard sequence paired with 6-card resolution RES335 (P4+5->9 vs B5->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

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

RES335 Four-Card Opening Deal
Player 2+2=4 vs Banker A+4=5

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

RES335 Fifth-Card Modulo Proof
(4 + 5) mod 10 = 9 via 5

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

RES335 Banker Tableau Lookup
BANKER_TABLEAU[5][5] = true

Banker 5 draws sixth-card 6 (6) so (5+6) mod 10 = 1.

RES335 Card Count & Winner
6 Cards -> P (9 vs 1)

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

RES335 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 · RES335

Step-by-Step Card Arithmetic for RES335: P(2+2)+5 vs B(A+4)

Hand record [RES335] tracks Player 4 (2+2) facing Banker 5 (A+4); with zero naturals on the felt, the fifth card 5 (worth 5) arrives and 9 calculates the mod-10 residue to 9.

[RES335-B] Because BANKER_TABLEAU[5][5]=true (5-point four-value window (4..7)) in [RES335], Banker 5 takes sixth-card 6 (6) and 5+6=11 settles at 1.

Complete 6-Card Resolution Trace for RES335
RES335 StageRES335 CardsRES335 Modulo MathRES335 Status
[RES335:Init]P(2+2)=4 vs B(A+4)=5playerShouldDraw(4)=true4-Card Deal
[RES335:5th]Player +5 (5)(4+5) mod 10 = 95th Card Sideways
[RES335:6th]Banker +6 (6)(5+6) mod 10 = 16-Card Final
[RES335:Settle]P=9 vs B=1Winner: PBig Road +P
  • [RES335-1] Confirm [RES335] opening P=4 (2+2) and B=5 (A+4) lack Natural 8/9.
  • [RES335-2] Add [RES335] fifth-card 5 (5) to P=4 for (4+5) mod 10 = 9.
  • [RES335-3] Run [RES335] BANKER_TABLEAU[5][5]=true to settle 9 vs 1 (P).
SETTLEMENT & SCOREBOARD · RES335

Showdown Settlement & Scoreboard Logging for RES335 (9 vs 1)

[RES335-C10] Comparing [RES335] final totals (6c), Player 9 vs Banker 1 awards [RES335] to Player (P), which pays 1:1 even money on [RES335] Player boxes with zero commission deducted and appends P to BBPPBPBBPB.

[RES335-D7] Side-bet & road check for [RES335] (P4+5->9 vs B5->1, 6c): [RES335] leaves [RES335] Dragon 7 inactive (needs winning 6c Banker 7, got 6c B=1) and leaves [RES335] Panda 8 inactive (needs winning 3c Player 8, got P=9); on [RES335] derived roads, Red (=) marks repeating Big Road depth and Blue (≠) marks breaking depth.

Table Reality Check

Myth vs. Truth

MythIn RES335, Banker 5 evaluates Player's three-card total (9) before deciding whether to draw.
TruthBanker 5 inspects only Player's fifth card 5 (value 5) via BANKER_TABLEAU[5][5] = true.
MythBecause RES335 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
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