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FINAL TOTAL RESOLUTION [RES323] · 5-CARD PROOF

Player 4 + 3 (3) vs. Banker 5 (Stands at 5): 5-Card Resolution #323

In walkthrough RES323, Player opens with 2+2 (4) and draws fifth-card 3 (3) for a modulo-10 total of 7, while Banker opens with A+4 (5) and stands pat at 5 (5-card P outcome).

RES323 Player Path
P:4->7
RES323 Banker Path
B:5->5
RES323 Deal Length
5 Cards
RES323 Showdown
P (7v5)
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 P B B P P B P P P B B B B
Big Eye Boy = ≠ ≠ = ≠ ≠ ≠ ≠ = = ≠ ≠ = ≠ = = ≠
Small Road = = ≠ = = ≠ ≠ ≠ = ≠ ≠ ≠ = =
Cockroach Pig ≠ = ≠ = = = = ≠ ≠ = ≠ =

Scoreboard sequence paired with 5-card resolution RES323 (P4+3->7 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

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

Column 4 has 1 bead. Column 2 has 3 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 3 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 5 has 2 beads. 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 2 beads. 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

RES323 Four-Card Opening Deal
Player 2+2=4 vs Banker A+4=5

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

RES323 Fifth-Card Modulo Proof
(4 + 3) mod 10 = 7 via 3

Player draws fifth-card 3 (value 3), transforming two-card 4 into three-card 7.

RES323 Banker Tableau Lookup
BANKER_TABLEAU[5][3] = false

Banker 5 stands pat at 5 without pulling sixth-card 8 (8).

RES323 Card Count & Winner
5 Cards -> P (7 vs 5)

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

RES323 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 · RES323

Step-by-Step Card Arithmetic for RES323: P(2+2)+3 vs B(A+4)

[RES323] Walkthrough #323 begins with Player holding 2+2 (4) against Banker A+4 (5); since neither side holds 8 or 9, Player draws fifth-card 3 (3) so 4+3=7 applies base-10 modular addition to 7.

[RES323-B] Because BANKER_TABLEAU[5][3]=false (5-point four-value window (4..7)) in [RES323], Banker 5 locks 5 at 5c (leaving 8=8 -> 3 unpulled).

Complete 5-Card Resolution Trace for RES323
RES323 StageRES323 CardsRES323 Modulo MathRES323 Status
[RES323:Init]P(2+2)=4 vs B(A+4)=5playerShouldDraw(4)=true4-Card Deal
[RES323:5th]Player +3 (3)(4+3) mod 10 = 75th Card Sideways
[RES323:6th]Banker Stands (skip 8=8)Locked at 55-Card Final
[RES323:Settle]P=7 vs B=5Winner: PBig Road +P
  • [RES323-1] Confirm [RES323] opening P=4 (2+2) and B=5 (A+4) lack Natural 8/9.
  • [RES323-2] Add [RES323] fifth-card 3 (3) to P=4 for (4+3) mod 10 = 7.
  • [RES323-3] Run [RES323] BANKER_TABLEAU[5][3]=false to settle 7 vs 5 (P).
SETTLEMENT & SCOREBOARD · RES323

Showdown Settlement & Scoreboard Logging for RES323 (7 vs 5)

[RES323-C5] Comparing [RES323] final totals (5c), Player 7 vs Banker 5 awards [RES323] to Player (P), which pays 1:1 even money on [RES323] Player boxes with zero commission deducted and appends P to BBPPPBBPBB.

[RES323-D3] Side-bet & road check for [RES323] (P4+3->7 vs B5->5, 5c): [RES323] leaves [RES323] Dragon 7 inactive (needs winning 6c Banker 7, got 5c B=5) and leaves [RES323] Panda 8 inactive (needs winning 3c Player 8, got P=7); on [RES323] derived roads, Red (=) marks repeating Big Road depth and Blue (≠) marks breaking depth.

Table Reality Check

Myth vs. Truth

MythIn RES323, Banker 5 evaluates Player's three-card total (7) before deciding whether to draw.
TruthBanker 5 inspects only Player's fifth card 3 (value 3) via BANKER_TABLEAU[5][3] = false.
MythBecause RES323 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
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