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FINAL TOTAL RESOLUTION [RES325] · 6-CARD PROOF

Player 0 + 4 (4) vs. Banker 5 (Draws A (1)): 6-Card Resolution #325

In walkthrough RES325, Player opens with 10+K (0) and draws fifth-card 4 (4) for a modulo-10 total of 4, while Banker opens with A+4 (5) and draws sixth-card A (1) for 6 (6-card B outcome).

RES325 Player Path
P:0->4
RES325 Banker Path
B:5->6
RES325 Deal Length
6 Cards
RES325 Showdown
B (4v6)
Engine-Verified Scoreboard · 20 Hands

Read the Board at Table Speed

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

Scoreboard sequence paired with 6-card resolution RES325 (P0+4->4 vs B5->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

Column 4 has 1 bead. Column 2 has 2 beads. Different depth → blue (≠).

  1. Column 5 starts, so use Rule 1: compare Column 4 with Column 2, 2 columns further back.
  2. Column 4 has 1 bead. Column 2 has 2 beads. Different depth → blue (≠).

Common table reading watchout: Comparing the wrong columns. Compare Column 4, the one that just finished, with Column 2.

Cockroach Pig Mark #3

Column 6 has 1 bead. Column 3 has 2 beads. Different depth → blue (≠).

  1. Column 7 starts, so use Rule 1: compare Column 6 with Column 3, 3 columns further back.
  2. Column 6 has 1 bead. Column 3 has 2 beads. Different depth → blue (≠).

Common table reading watchout: Comparing the wrong columns. Compare Column 6, the one that just finished, with Column 3.

Verified Reference Data

Key Facts & Table Specifications

RES325 Four-Card Opening Deal
Player 10+K=0 vs Banker A+4=5

Verified non-natural start via handTotal([10,K])=0 and handTotal([A,4])=5.

RES325 Fifth-Card Modulo Proof
(0 + 4) mod 10 = 4 via 4

Player draws fifth-card 4 (value 4), transforming two-card 0 into three-card 4.

RES325 Banker Tableau Lookup
BANKER_TABLEAU[5][4] = true

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

RES325 Card Count & Winner
6 Cards -> B (4 vs 6)

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

RES325 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 · RES325

Step-by-Step Card Arithmetic for RES325: P(10+K)+4 vs B(A+4)

During tableau case [RES325], Player holds 10+K for 0 while Banker holds A+4 for 5; drawing fifth-card 4 (4) shifts Player from 0 to 4, which reduces mod-10 to 4.

[RES325-B] Acting on 4=4 inside [RES325], Banker 5 follows 5-point four-value window (4..7) and pulls A (1) for 5+1=6 -> 6.

Complete 6-Card Resolution Trace for RES325
RES325 StageRES325 CardsRES325 Modulo MathRES325 Status
[RES325:Init]P(10+K)=0 vs B(A+4)=5playerShouldDraw(0)=true4-Card Deal
[RES325:5th]Player +4 (4)(0+4) mod 10 = 45th Card Sideways
[RES325:6th]Banker +A (1)(5+1) mod 10 = 66-Card Final
[RES325:Settle]P=4 vs B=6Winner: BBig Road +B
  • [RES325-1] Confirm [RES325] opening P=0 (10+K) and B=5 (A+4) lack Natural 8/9.
  • [RES325-2] Add [RES325] fifth-card 4 (4) to P=0 for (0+4) mod 10 = 4.
  • [RES325-3] Run [RES325] BANKER_TABLEAU[5][4]=true to settle 4 vs 6 (B).
SETTLEMENT & SCOREBOARD · RES325

Showdown Settlement & Scoreboard Logging for RES325 (4 vs 6)

[RES325-C4] Comparing [RES325] final totals (6c), Player 4 vs Banker 6 awards [RES325] to Banker (B), which pays 0.95:1 on 5%-commission [RES325] layouts (or 0.5:1 on 6 at No-Commission [RES325] tables) and appends B to BBPPBBPBPB.

[RES325-D8] Side-bet & road check for [RES325] (P0+4->4 vs B5->6, 6c): [RES325] leaves [RES325] Dragon 7 inactive (needs winning 6c Banker 7, got 6c B=6) and leaves [RES325] Panda 8 inactive (needs winning 3c Player 8, got P=4); on [RES325] derived roads, Red (=) marks repeating Big Road depth and Blue (≠) marks breaking depth.

Table Reality Check

Myth vs. Truth

MythIn RES325, Banker 5 evaluates Player's three-card total (4) before deciding whether to draw.
TruthBanker 5 inspects only Player's fifth card 4 (value 4) via BANKER_TABLEAU[5][4] = true.
MythBecause RES325 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
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