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FINAL TOTAL RESOLUTION [RES365] · 5-CARD PROOF

Player 4 + 10 (0) vs. Banker 6 (Stands at 6): 5-Card Resolution #365

In walkthrough RES365, Player opens with 2+2 (4) and draws fifth-card 10 (0) for a modulo-10 total of 4, while Banker opens with 3+3 (6) and stands pat at 6 (5-card B outcome).

RES365 Player Path
P:4->4
RES365 Banker Path
B:6->6
RES365 Deal Length
5 Cards
RES365 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 P P B B B B P P B P P P B
Big Eye Boy = = = = = ≠ ≠ = = ≠ ≠ = ≠ ≠ ≠ = ≠
Small Road = = = ≠ ≠ = ≠ = ≠ = ≠ ≠ = ≠ ≠
Cockroach Pig = ≠ ≠ = ≠ = ≠ = = ≠ = = ≠

Scoreboard sequence paired with 5-card resolution RES365 (P4+0->4 vs B6->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

This bead is at Row 2. Column 2 has a bead at Row 2 too → red (=).

  1. Column 4 goes down to Row 2, so use Rule 2: look 2 columns 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.

Cockroach Pig Mark #3

Column 4 has 3 beads. Column 1 has 2 beads. Different depth → blue (≠).

  1. Column 5 starts, so use Rule 1: compare Column 4 with Column 1, 3 columns further back.
  2. Column 4 has 3 beads. Column 1 has 2 beads. Different depth → blue (≠).

Common table reading watchout: Comparing the wrong columns. Compare Column 4, the one that just finished, with Column 1.

Verified Reference Data

Key Facts & Table Specifications

RES365 Four-Card Opening Deal
Player 2+2=4 vs Banker 3+3=6

Verified non-natural start via handTotal([2,2])=4 and handTotal([3,3])=6.

RES365 Fifth-Card Modulo Proof
(4 + 0) mod 10 = 4 via 10

Player draws fifth-card 10 (value 0), transforming two-card 4 into three-card 4.

RES365 Banker Tableau Lookup
BANKER_TABLEAU[6][0] = false

Banker 6 stands pat at 6 without pulling sixth-card 2 (2).

RES365 Card Count & Winner
5 Cards -> B (4 vs 6)

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

RES365 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 · RES365

Step-by-Step Card Arithmetic for RES365: P(2+2)+10 vs B(3+3)

[RES365] Walkthrough #365 begins with Player holding 2+2 (4) against Banker 3+3 (6); since neither side holds 8 or 9, Player draws fifth-card 10 (0) so 4+0=4 applies base-10 modular addition to 4.

[RES365-B] Under 6-point two-value trigger (6..7) for [RES365], 10 (0) closes action at 5c with Banker at 6 (had 2=2 landed, 6+2=8 -> 8).

Complete 5-Card Resolution Trace for RES365
RES365 StageRES365 CardsRES365 Modulo MathRES365 Status
[RES365:Init]P(2+2)=4 vs B(3+3)=6playerShouldDraw(4)=true4-Card Deal
[RES365:5th]Player +10 (0)(4+0) mod 10 = 45th Card Sideways
[RES365:6th]Banker Stands (skip 2=2)Locked at 65-Card Final
[RES365:Settle]P=4 vs B=6Winner: BBig Road +B
  • [RES365-1] Confirm [RES365] opening P=4 (2+2) and B=6 (3+3) lack Natural 8/9.
  • [RES365-2] Add [RES365] fifth-card 10 (0) to P=4 for (4+0) mod 10 = 4.
  • [RES365-3] Run [RES365] BANKER_TABLEAU[6][0]=false to settle 4 vs 6 (B).
SETTLEMENT & SCOREBOARD · RES365

Showdown Settlement & Scoreboard Logging for RES365 (4 vs 6)

[RES365-C6] Comparing [RES365] final totals (5c), Player 4 vs Banker 6 awards [RES365] to Banker (B), which pays 0.95:1 on 5%-commission [RES365] layouts (or 0.5:1 on 6 at No-Commission [RES365] tables) and appends B to BBPPBBPPPB.

[RES365-D4] Side-bet & road check for [RES365] (P4+0->4 vs B6->6, 5c): [RES365] leaves [RES365] Dragon 7 inactive (needs winning 6c Banker 7, got 5c B=6) and leaves [RES365] Panda 8 inactive (needs winning 3c Player 8, got P=4); on [RES365] derived roads, Red (=) marks repeating Big Road depth and Blue (≠) marks breaking depth.

Table Reality Check

Myth vs. Truth

MythIn RES365, Banker 6 evaluates Player's three-card total (4) before deciding whether to draw.
TruthBanker 6 inspects only Player's fifth card 10 (value 0) via BANKER_TABLEAU[6][0] = false.
MythBecause RES365 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.
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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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