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FINAL TOTAL RESOLUTION [RES361] · 5-CARD PROOF

Player 0 + 10 (0) vs. Banker 6 (Stands at 6): 5-Card Resolution #361

In walkthrough RES361, Player opens with 10+K (0) and draws fifth-card 10 (0) for a modulo-10 total of 0, while Banker opens with 3+3 (6) and stands pat at 6 (5-card B outcome).

RES361 Player Path
P:0->0
RES361 Banker Path
B:6->6
RES361 Deal Length
5 Cards
RES361 Showdown
B (0v6)
Engine-Verified Scoreboard · 20 Hands

Read the Board at Table Speed

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

Scoreboard sequence paired with 5-card resolution RES361 (P0+0->0 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

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

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

Common table reading watchout: Comparing the wrong columns. Compare Column 2, the one that just finished, with Column 1.

Small Road Mark #3

This bead is at Row 4. Column 1 stopped at Row 2, more than one row above → red (=).

  1. Column 3 goes down to Row 4, so use Rule 2: look 2 columns back, at Column 1.
  2. Column 1 stopped at Row 2, more than one row above → red (=).

Common table reading watchout: Thinking "no bead at this row" means blue. It is blue only when Column 1 stopped exactly one row above this bead.

Cockroach Pig Mark #3

Column 5 has 1 bead. Column 2 has 3 beads. Different depth → blue (≠).

  1. Column 6 starts, so use Rule 1: compare Column 5 with Column 2, 3 columns further back.
  2. Column 5 has 1 bead. Column 2 has 3 beads. Different depth → blue (≠).

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

RES361 Four-Card Opening Deal
Player 10+K=0 vs Banker 3+3=6

Verified non-natural start via handTotal([10,K])=0 and handTotal([3,3])=6.

RES361 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.

RES361 Banker Tableau Lookup
BANKER_TABLEAU[6][0] = false

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

RES361 Card Count & Winner
5 Cards -> B (0 vs 6)

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

RES361 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 · RES361

Step-by-Step Card Arithmetic for RES361: P(10+K)+10 vs B(3+3)

Shoe deal [RES361] places 10+K (0) on Player and 3+3 (6) on Banker; because 0 is below 6, Player draws 10 (0) and 0 truncates the decimal tens place to 0.

[RES361-B] Because BANKER_TABLEAU[6][0]=false (6-point two-value trigger (6..7)) in [RES361], Banker 6 locks 6 at 5c (leaving 6=6 -> 2 unpulled).

Complete 5-Card Resolution Trace for RES361
RES361 StageRES361 CardsRES361 Modulo MathRES361 Status
[RES361:Init]P(10+K)=0 vs B(3+3)=6playerShouldDraw(0)=true4-Card Deal
[RES361:5th]Player +10 (0)(0+0) mod 10 = 05th Card Sideways
[RES361:6th]Banker Stands (skip 6=6)Locked at 65-Card Final
[RES361:Settle]P=0 vs B=6Winner: BBig Road +B
  • [RES361-1] Confirm [RES361] opening P=0 (10+K) and B=6 (3+3) lack Natural 8/9.
  • [RES361-2] Add [RES361] fifth-card 10 (0) to P=0 for (0+0) mod 10 = 0.
  • [RES361-3] Run [RES361] BANKER_TABLEAU[6][0]=false to settle 0 vs 6 (B).
SETTLEMENT & SCOREBOARD · RES361

Showdown Settlement & Scoreboard Logging for RES361 (0 vs 6)

[RES361-C8] Comparing [RES361] final totals (5c), Player 0 vs Banker 6 awards [RES361] to Banker (B), which pays 0.95:1 on 5%-commission [RES361] layouts (or 0.5:1 on 6 at No-Commission [RES361] tables) and appends B to BBPPPBBBBP.

[RES361-D7] Side-bet & road check for [RES361] (P0+0->0 vs B6->6, 5c): [RES361] leaves [RES361] Dragon 7 inactive (needs winning 6c Banker 7, got 5c B=6) and leaves [RES361] Panda 8 inactive (needs winning 3c Player 8, got P=0); on [RES361] derived roads, Red (=) marks repeating Big Road depth and Blue (≠) marks breaking depth.

Table Reality Check

Myth vs. Truth

MythIn RES361, Banker 6 evaluates Player's three-card total (0) before deciding whether to draw.
TruthBanker 6 inspects only Player's fifth card 10 (value 0) via BANKER_TABLEAU[6][0] = false.
MythBecause RES361 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
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