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FINAL TOTAL RESOLUTION [RES289] · 5-CARD PROOF

Player 0 + 8 (8) vs. Banker 4 (Stands at 4): 5-Card Resolution #289

In walkthrough RES289, Player opens with 10+K (0) and draws fifth-card 8 (8) for a modulo-10 total of 8, while Banker opens with 2+2 (4) and stands pat at 4 (5-card P outcome).

RES289 Player Path
P:0->8
RES289 Banker Path
B:4->4
RES289 Deal Length
5 Cards
RES289 Showdown
P (8v4)
Engine-Verified Scoreboard · 20 Hands

Read the Board at Table Speed

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

Scoreboard sequence paired with 5-card resolution RES289 (P0+8->8 vs B4->4).

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

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

Common table reading watchout: Comparing the wrong columns. Compare Column 3, the one that just finished, with Column 2.

Small Road Mark #3

This bead is at Row 2. Column 3 stopped at Row 1, one row above → blue (≠).

  1. Column 5 goes down to Row 2, so use Rule 2: look 2 columns back, at Column 3.
  2. Column 3 stopped at Row 1, one row above → blue (≠).

Common table reading watchout: Thinking "no bead at this row" means blue. It is blue only when Column 3 stopped exactly one row above this bead.

Cockroach Pig Mark #3

Column 5 has 2 beads. Column 2 has 2 beads. Same depth → red (=).

  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 2 beads. Same depth → red (=).

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

RES289 Four-Card Opening Deal
Player 10+K=0 vs Banker 2+2=4

Verified non-natural start via handTotal([10,K])=0 and handTotal([2,2])=4.

RES289 Fifth-Card Modulo Proof
(0 + 8) mod 10 = 8 via 8

Player draws fifth-card 8 (value 8), transforming two-card 0 into three-card 8.

RES289 Banker Tableau Lookup
BANKER_TABLEAU[4][8] = false

Banker 4 stands pat at 4 without pulling sixth-card 6 (6).

RES289 Card Count & Winner
5 Cards -> P (8 vs 4)

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

RES289 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 · RES289

Step-by-Step Card Arithmetic for RES289: P(10+K)+8 vs B(2+2)

Evaluating sequence [RES289], the shoe delivers 10+K (0) to Player and 2+2 (4) to Banker; after natural checks clear, fifth-card 8 (8) maps the raw pip total mod 10 (0+8=8) to final Player total 8.

[RES289-B] Evaluating bankerShouldDraw(4, 8)=false (4-point six-value gate (2..7)) in [RES289], Banker 4 preserves 4 while 6 (6) remains undealt.

Complete 5-Card Resolution Trace for RES289
RES289 StageRES289 CardsRES289 Modulo MathRES289 Status
[RES289:Init]P(10+K)=0 vs B(2+2)=4playerShouldDraw(0)=true4-Card Deal
[RES289:5th]Player +8 (8)(0+8) mod 10 = 85th Card Sideways
[RES289:6th]Banker Stands (skip 6=6)Locked at 45-Card Final
[RES289:Settle]P=8 vs B=4Winner: PBig Road +P
  • [RES289-1] Confirm [RES289] opening P=0 (10+K) and B=4 (2+2) lack Natural 8/9.
  • [RES289-2] Add [RES289] fifth-card 8 (8) to P=0 for (0+8) mod 10 = 8.
  • [RES289-3] Run [RES289] BANKER_TABLEAU[4][8]=false to settle 8 vs 4 (P).
SETTLEMENT & SCOREBOARD · RES289

Showdown Settlement & Scoreboard Logging for RES289 (8 vs 4)

[RES289-C0] Comparing [RES289] final totals (5c), Player 8 vs Banker 4 awards [RES289] to Player (P), which pays 1:1 even money on [RES289] Player boxes with zero commission deducted and appends P to BBPPBPBBPP.

[RES289-D9] Side-bet & road check for [RES289] (P0+8->8 vs B4->4, 5c): [RES289] leaves [RES289] Dragon 7 inactive (needs winning 6c Banker 7, got 5c B=4) and triggers [RES289] Panda 8 (winning 3-card Player 8, 25:1); on [RES289] derived roads, Red (=) marks repeating Big Road depth and Blue (≠) marks breaking depth.

Table Reality Check

Myth vs. Truth

MythIn RES289, Banker 4 evaluates Player's three-card total (8) before deciding whether to draw.
TruthBanker 4 inspects only Player's fifth card 8 (value 8) via BANKER_TABLEAU[4][8] = false.
MythBecause RES289 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.
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  • Structured step-by-step track across Foundations, Big Eye Boy, Small Road, and Cockroach Pig
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