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FINAL TOTAL RESOLUTION [RES299] · 5-CARD PROOF

Player 4 + 9 (9) vs. Banker 4 (Stands at 4): 5-Card Resolution #299

In walkthrough RES299, Player opens with 2+2 (4) and draws fifth-card 9 (9) for a modulo-10 total of 3, while Banker opens with 2+2 (4) and stands pat at 4 (5-card B outcome).

RES299 Player Path
P:4->3
RES299 Banker Path
B:4->4
RES299 Deal Length
5 Cards
RES299 Showdown
B (3v4)
Engine-Verified Scoreboard · 20 Hands

Read the Board at Table Speed

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

Scoreboard sequence paired with 5-card resolution RES299 (P4+9->3 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 3. Column 2 stopped at Row 2, one row above → blue (≠).

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

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

RES299 Four-Card Opening Deal
Player 2+2=4 vs Banker 2+2=4

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

RES299 Fifth-Card Modulo Proof
(4 + 9) mod 10 = 3 via 9

Player draws fifth-card 9 (value 9), transforming two-card 4 into three-card 3.

RES299 Banker Tableau Lookup
BANKER_TABLEAU[4][9] = false

Banker 4 stands pat at 4 without pulling sixth-card A (1).

RES299 Card Count & Winner
5 Cards -> B (3 vs 4)

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

RES299 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 · RES299

Step-by-Step Card Arithmetic for RES299: P(2+2)+9 vs B(2+2)

Under audit [RES299], Player opens on two-card 4 (2+2) opposite Banker 4 (2+2), triggering a mandatory fifth-card pull of 9 (value 9) that settles via mod-10 arithmetic from 13 into 3.

[RES299-B] Inspecting 9=9 via 4-point six-value gate (2..7) in [RES299], Banker 4 stands at 4; A (1) stays in the shoe instead of 5.

Complete 5-Card Resolution Trace for RES299
RES299 StageRES299 CardsRES299 Modulo MathRES299 Status
[RES299:Init]P(2+2)=4 vs B(2+2)=4playerShouldDraw(4)=true4-Card Deal
[RES299:5th]Player +9 (9)(4+9) mod 10 = 35th Card Sideways
[RES299:6th]Banker Stands (skip A=1)Locked at 45-Card Final
[RES299:Settle]P=3 vs B=4Winner: BBig Road +B
  • [RES299-1] Confirm [RES299] opening P=4 (2+2) and B=4 (2+2) lack Natural 8/9.
  • [RES299-2] Add [RES299] fifth-card 9 (9) to P=4 for (4+9) mod 10 = 3.
  • [RES299-3] Run [RES299] BANKER_TABLEAU[4][9]=false to settle 3 vs 4 (B).
SETTLEMENT & SCOREBOARD · RES299

Showdown Settlement & Scoreboard Logging for RES299 (3 vs 4)

[RES299-C6] Comparing [RES299] final totals (5c), Player 3 vs Banker 4 awards [RES299] to Banker (B), which pays 0.95:1 on 5%-commission [RES299] layouts (or 0.5:1 on 6 at No-Commission [RES299] tables) and appends B to BBPPBPPPBB.

[RES299-D8] Side-bet & road check for [RES299] (P4+9->3 vs B4->4, 5c): [RES299] leaves [RES299] Dragon 7 inactive (needs winning 6c Banker 7, got 5c B=4) and leaves [RES299] Panda 8 inactive (needs winning 3c Player 8, got P=3); on [RES299] derived roads, Red (=) marks repeating Big Road depth and Blue (≠) marks breaking depth.

Table Reality Check

Myth vs. Truth

MythIn RES299, Banker 4 evaluates Player's three-card total (3) before deciding whether to draw.
TruthBanker 4 inspects only Player's fifth card 9 (value 9) via BANKER_TABLEAU[4][9] = false.
MythBecause RES299 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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