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FINAL TOTAL RESOLUTION [RES242] · 5-CARD PROOF

Player 1 + 10 (0) vs. Banker 4 (Stands at 4): 5-Card Resolution #242

In walkthrough RES242, Player opens with 7+4 (1) and draws fifth-card 10 (0) for a modulo-10 total of 1, while Banker opens with A+3 (4) and stands pat at 4 (5-card B outcome).

RES242 Player Path
P:1->1
RES242 Banker Path
B:4->4
RES242 Deal Length
5 Cards
RES242 Showdown
B (1v4)
Engine-Verified Scoreboard · 20 Hands

Read the Board at Table Speed

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Big Road P P B B P B P P B B P B B B P P P B P P
Big Eye Boy = = ≠ = ≠ ≠ = = ≠ ≠ = ≠ = = = ≠ ≠
Small Road ≠ ≠ ≠ ≠ ≠ ≠ = ≠ ≠ ≠ ≠ = ≠ ≠ =
Cockroach Pig ≠ = = ≠ ≠ = = ≠ ≠ = ≠ ≠ = =

Scoreboard sequence paired with 5-card resolution RES242 (P1+0->1 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

RES242 Four-Card Opening Deal
Player 7+4=1 vs Banker A+3=4

Verified non-natural start via handTotal([7,4])=1 and handTotal([A,3])=4.

RES242 Fifth-Card Modulo Proof
(1 + 0) mod 10 = 1 via 10

Player draws fifth-card 10 (value 0), transforming two-card 1 into three-card 1.

RES242 Banker Tableau Lookup
BANKER_TABLEAU[4][0] = false

Banker 4 stands pat at 4 without pulling sixth-card 8 (8).

RES242 Card Count & Winner
5 Cards -> B (1 vs 4)

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

RES242 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 · RES242

Step-by-Step Card Arithmetic for RES242: P(7+4)+10 vs B(A+3)

Within resolution [RES242], Player's opening 7+4 totals 1 against Banker's A+3 (4); Punto Banco rules require drawing 10 (0), and 1+0=1 extracts the terminal digit to 1.

[RES242-B] Next in [RES242], Banker applies 4-point six-value gate (2..7): vs 10 (0), Banker 4 stands at 4 in 5c (skipping 8=8 -> 2).

Complete 5-Card Resolution Trace for RES242
RES242 StageRES242 CardsRES242 Modulo MathRES242 Status
[RES242:Init]P(7+4)=1 vs B(A+3)=4playerShouldDraw(1)=true4-Card Deal
[RES242:5th]Player +10 (0)(1+0) mod 10 = 15th Card Sideways
[RES242:6th]Banker Stands (skip 8=8)Locked at 45-Card Final
[RES242:Settle]P=1 vs B=4Winner: BBig Road +B
  • [RES242-1] Confirm [RES242] opening P=1 (7+4) and B=4 (A+3) lack Natural 8/9.
  • [RES242-2] Add [RES242] fifth-card 10 (0) to P=1 for (1+0) mod 10 = 1.
  • [RES242-3] Run [RES242] BANKER_TABLEAU[4][0]=false to settle 1 vs 4 (B).
SETTLEMENT & SCOREBOARD · RES242

Showdown Settlement & Scoreboard Logging for RES242 (1 vs 4)

[RES242-C7] Comparing [RES242] final totals (5c), Player 1 vs Banker 4 awards [RES242] to Banker (B), which pays 0.95:1 on 5%-commission [RES242] layouts (or 0.5:1 on 6 at No-Commission [RES242] tables) and appends B to PPBBPBPPBB.

[RES242-D2] Side-bet & road check for [RES242] (P1+0->1 vs B4->4, 5c): [RES242] leaves [RES242] Dragon 7 inactive (needs winning 6c Banker 7, got 5c B=4) and leaves [RES242] Panda 8 inactive (needs winning 3c Player 8, got P=1); on [RES242] derived roads, Red (=) marks repeating Big Road depth and Blue (≠) marks breaking depth.

Table Reality Check

Myth vs. Truth

MythIn RES242, Banker 4 evaluates Player's three-card total (1) before deciding whether to draw.
TruthBanker 4 inspects only Player's fifth card 10 (value 0) via BANKER_TABLEAU[4][0] = false.
MythBecause RES242 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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