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FINAL TOTAL RESOLUTION [RES298] · 5-CARD PROOF

Player 3 + 9 (9) vs. Banker 4 (Stands at 4): 5-Card Resolution #298

In walkthrough RES298, Player opens with 9+4 (3) and draws fifth-card 9 (9) for a modulo-10 total of 2, while Banker opens with A+3 (4) and stands pat at 4 (5-card B outcome).

RES298 Player Path
P:3->2
RES298 Banker Path
B:4->4
RES298 Deal Length
5 Cards
RES298 Showdown
B (2v4)
Engine-Verified Scoreboard · 20 Hands

Read the Board at Table Speed

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

Scoreboard sequence paired with 5-card resolution RES298 (P3+9->2 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 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

RES298 Four-Card Opening Deal
Player 9+4=3 vs Banker A+3=4

Verified non-natural start via handTotal([9,4])=3 and handTotal([A,3])=4.

RES298 Fifth-Card Modulo Proof
(3 + 9) mod 10 = 2 via 9

Player draws fifth-card 9 (value 9), transforming two-card 3 into three-card 2.

RES298 Banker Tableau Lookup
BANKER_TABLEAU[4][9] = false

Banker 4 stands pat at 4 without pulling sixth-card 7 (7).

RES298 Card Count & Winner
5 Cards -> B (2 vs 4)

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

RES298 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 · RES298

Step-by-Step Card Arithmetic for RES298: P(9+4)+9 vs B(A+3)

Within resolution [RES298], Player's opening 9+4 totals 3 against Banker's A+3 (4); Punto Banco rules require drawing 9 (9), and 3+9=12 extracts the terminal digit to 2.

[RES298-B] Inspecting 9=9 via 4-point six-value gate (2..7) in [RES298], Banker 4 stands at 4; 7 (7) stays in the shoe instead of 1.

Complete 5-Card Resolution Trace for RES298
RES298 StageRES298 CardsRES298 Modulo MathRES298 Status
[RES298:Init]P(9+4)=3 vs B(A+3)=4playerShouldDraw(3)=true4-Card Deal
[RES298:5th]Player +9 (9)(3+9) mod 10 = 25th Card Sideways
[RES298:6th]Banker Stands (skip 7=7)Locked at 45-Card Final
[RES298:Settle]P=2 vs B=4Winner: BBig Road +B
  • [RES298-1] Confirm [RES298] opening P=3 (9+4) and B=4 (A+3) lack Natural 8/9.
  • [RES298-2] Add [RES298] fifth-card 9 (9) to P=3 for (3+9) mod 10 = 2.
  • [RES298-3] Run [RES298] BANKER_TABLEAU[4][9]=false to settle 2 vs 4 (B).
SETTLEMENT & SCOREBOARD · RES298

Showdown Settlement & Scoreboard Logging for RES298 (2 vs 4)

[RES298-C1] Comparing [RES298] final totals (5c), Player 2 vs Banker 4 awards [RES298] to Banker (B), which pays 0.95:1 on 5%-commission [RES298] layouts (or 0.5:1 on 6 at No-Commission [RES298] tables) and appends B to PPBBBPPPPB.

[RES298-D12] Side-bet & road check for [RES298] (P3+9->2 vs B4->4, 5c): [RES298] leaves [RES298] Dragon 7 inactive (needs winning 6c Banker 7, got 5c B=4) and leaves [RES298] Panda 8 inactive (needs winning 3c Player 8, got P=2); on [RES298] derived roads, Red (=) marks repeating Big Road depth and Blue (≠) marks breaking depth.

Table Reality Check

Myth vs. Truth

MythIn RES298, Banker 4 evaluates Player's three-card total (2) before deciding whether to draw.
TruthBanker 4 inspects only Player's fifth card 9 (value 9) via BANKER_TABLEAU[4][9] = false.
MythBecause RES298 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
  • 74 interactive lesson scoreboards and 94 inline quiz checks with plain-English mark feedback
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