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FINAL TOTAL RESOLUTION [RES390] · 5-CARD PROOF

Player 5 + 4 (4) vs. Banker 6 (Stands at 6): 5-Card Resolution #390

In walkthrough RES390, Player opens with A+4 (5) and draws fifth-card 4 (4) for a modulo-10 total of 9, while Banker opens with 2+4 (6) and stands pat at 6 (5-card P outcome).

RES390 Player Path
P:5->9
RES390 Banker Path
B:6->6
RES390 Deal Length
5 Cards
RES390 Showdown
P (9v6)
Engine-Verified Scoreboard · 20 Hands

Read the Board at Table Speed

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

Scoreboard sequence paired with 5-card resolution RES390 (P5+4->9 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

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

RES390 Four-Card Opening Deal
Player A+4=5 vs Banker 2+4=6

Verified non-natural start via handTotal([A,4])=5 and handTotal([2,4])=6.

RES390 Fifth-Card Modulo Proof
(5 + 4) mod 10 = 9 via 4

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

RES390 Banker Tableau Lookup
BANKER_TABLEAU[6][4] = false

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

RES390 Card Count & Winner
5 Cards -> P (9 vs 6)

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

RES390 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 · RES390

Step-by-Step Card Arithmetic for RES390: P(A+4)+4 vs B(2+4)

Floor verification [RES390] inspects Player A+4 (5) versus Banker 2+4 (6); once fifth-card 4 (4) is exposed sideways, 5+4=9 drops the tens digit to three-card 9.

[RES390-B] Inspecting 4=4 via 6-point two-value trigger (6..7) in [RES390], Banker 6 stands at 6; 2 (2) stays in the shoe instead of 8.

Complete 5-Card Resolution Trace for RES390
RES390 StageRES390 CardsRES390 Modulo MathRES390 Status
[RES390:Init]P(A+4)=5 vs B(2+4)=6playerShouldDraw(5)=true4-Card Deal
[RES390:5th]Player +4 (4)(5+4) mod 10 = 95th Card Sideways
[RES390:6th]Banker Stands (skip 2=2)Locked at 65-Card Final
[RES390:Settle]P=9 vs B=6Winner: PBig Road +P
  • [RES390-1] Confirm [RES390] opening P=5 (A+4) and B=6 (2+4) lack Natural 8/9.
  • [RES390-2] Add [RES390] fifth-card 4 (4) to P=5 for (5+4) mod 10 = 9.
  • [RES390-3] Run [RES390] BANKER_TABLEAU[6][4]=false to settle 9 vs 6 (P).
SETTLEMENT & SCOREBOARD · RES390

Showdown Settlement & Scoreboard Logging for RES390 (9 vs 6)

[RES390-C10] Comparing [RES390] final totals (5c), Player 9 vs Banker 6 awards [RES390] to Player (P), which pays 1:1 even money on [RES390] Player boxes with zero commission deducted and appends P to PPBBPPBPBP.

[RES390-D8] Side-bet & road check for [RES390] (P5+4->9 vs B6->6, 5c): [RES390] leaves [RES390] Dragon 7 inactive (needs winning 6c Banker 7, got 5c B=6) and leaves [RES390] Panda 8 inactive (needs winning 3c Player 8, got P=9); on [RES390] derived roads, Red (=) marks repeating Big Road depth and Blue (≠) marks breaking depth.

Table Reality Check

Myth vs. Truth

MythIn RES390, Banker 6 evaluates Player's three-card total (9) before deciding whether to draw.
TruthBanker 6 inspects only Player's fifth card 4 (value 4) via BANKER_TABLEAU[6][4] = false.
MythBecause RES390 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

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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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