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FINAL TOTAL RESOLUTION [RES301] · 5-CARD PROOF

Player 0 + 10 (0) vs. Banker 5 (Stands at 5): 5-Card Resolution #301

In walkthrough RES301, Player opens with 10+K (0) and draws fifth-card 10 (0) for a modulo-10 total of 0, while Banker opens with A+4 (5) and stands pat at 5 (5-card B outcome).

RES301 Player Path
P:0->0
RES301 Banker Path
B:5->5
RES301 Deal Length
5 Cards
RES301 Showdown
B (0v5)
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 RES301 (P0+0->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

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

RES301 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.

RES301 Fifth-Card Modulo Proof
(0 + 0) mod 10 = 0 via 10

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

RES301 Banker Tableau Lookup
BANKER_TABLEAU[5][0] = false

Banker 5 stands pat at 5 without pulling sixth-card 5 (5).

RES301 Card Count & Winner
5 Cards -> B (0 vs 5)

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

RES301 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 · RES301

Step-by-Step Card Arithmetic for RES301: P(10+K)+10 vs B(A+4)

Matrix coordinate [RES301] isolates Player two-card 0 (10+K) and Banker 5 (A+4); dealing fifth-card 10 (0) yields raw 0 that retains the rightmost digit to 0.

[RES301-B] Under 5-point four-value window (4..7) for [RES301], 10 (0) closes action at 5c with Banker at 5 (had 5=5 landed, 5+5=10 -> 0).

Complete 5-Card Resolution Trace for RES301
RES301 StageRES301 CardsRES301 Modulo MathRES301 Status
[RES301:Init]P(10+K)=0 vs B(A+4)=5playerShouldDraw(0)=true4-Card Deal
[RES301:5th]Player +10 (0)(0+0) mod 10 = 05th Card Sideways
[RES301:6th]Banker Stands (skip 5=5)Locked at 55-Card Final
[RES301:Settle]P=0 vs B=5Winner: BBig Road +B
  • [RES301-1] Confirm [RES301] opening P=0 (10+K) and B=5 (A+4) lack Natural 8/9.
  • [RES301-2] Add [RES301] fifth-card 10 (0) to P=0 for (0+0) mod 10 = 0.
  • [RES301-3] Run [RES301] BANKER_TABLEAU[5][0]=false to settle 0 vs 5 (B).
SETTLEMENT & SCOREBOARD · RES301

Showdown Settlement & Scoreboard Logging for RES301 (0 vs 5)

[RES301-C5] Comparing [RES301] final totals (5c), Player 0 vs Banker 5 awards [RES301] to Banker (B), which pays 0.95:1 on 5%-commission [RES301] layouts (or 0.5:1 on 6 at No-Commission [RES301] tables) and appends B to BBPPBBPPPB.

[RES301-D0] Side-bet & road check for [RES301] (P0+0->0 vs B5->5, 5c): [RES301] leaves [RES301] Dragon 7 inactive (needs winning 6c Banker 7, got 5c B=5) and leaves [RES301] Panda 8 inactive (needs winning 3c Player 8, got P=0); on [RES301] derived roads, Red (=) marks repeating Big Road depth and Blue (≠) marks breaking depth.

Table Reality Check

Myth vs. Truth

MythIn RES301, Banker 5 evaluates Player's three-card total (0) before deciding whether to draw.
TruthBanker 5 inspects only Player's fifth card 10 (value 0) via BANKER_TABLEAU[5][0] = false.
MythBecause RES301 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

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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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