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FINAL TOTAL RESOLUTION [RES074] · 6-CARD PROOF

Player 1 + 2 (2) vs. Banker 1 (Draws 3 (3)): 6-Card Resolution #74

In walkthrough RES074, Player opens with 7+4 (1) and draws fifth-card 2 (2) for a modulo-10 total of 3, while Banker opens with 10+A (1) and draws sixth-card 3 (3) for 4 (6-card B outcome).

RES074 Player Path
P:1->3
RES074 Banker Path
B:1->4
RES074 Deal Length
6 Cards
RES074 Showdown
B (3v4)
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 6-card resolution RES074 (P1+2->3 vs B1->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

RES074 Four-Card Opening Deal
Player 7+4=1 vs Banker 10+A=1

Verified non-natural start via handTotal([7,4])=1 and handTotal([10,A])=1.

RES074 Fifth-Card Modulo Proof
(1 + 2) mod 10 = 3 via 2

Player draws fifth-card 2 (value 2), transforming two-card 1 into three-card 3.

RES074 Banker Tableau Lookup
BANKER_TABLEAU[1][2] = true

Banker 1 draws sixth-card 3 (3) so (1+3) mod 10 = 4.

RES074 Card Count & Winner
6 Cards -> B (3 vs 4)

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

RES074 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 · RES074

Step-by-Step Card Arithmetic for RES074: P(7+4)+2 vs B(10+A)

Within resolution [RES074], Player's opening 7+4 totals 1 against Banker's 10+A (1); Punto Banco rules require drawing 2 (2), and 1+2=3 extracts the terminal digit to 3.

[RES074-B] Next in [RES074], Banker consults 1-point automatic draw row: facing fifth-card 2 (2), Banker 1 draws 3 (3) so 1+3=4 -> 4.

Complete 6-Card Resolution Trace for RES074
RES074 StageRES074 CardsRES074 Modulo MathRES074 Status
[RES074:Init]P(7+4)=1 vs B(10+A)=1playerShouldDraw(1)=true4-Card Deal
[RES074:5th]Player +2 (2)(1+2) mod 10 = 35th Card Sideways
[RES074:6th]Banker +3 (3)(1+3) mod 10 = 46-Card Final
[RES074:Settle]P=3 vs B=4Winner: BBig Road +B
  • [RES074-1] Confirm [RES074] opening P=1 (7+4) and B=1 (10+A) lack Natural 8/9.
  • [RES074-2] Add [RES074] fifth-card 2 (2) to P=1 for (1+2) mod 10 = 3.
  • [RES074-3] Run [RES074] BANKER_TABLEAU[1][2]=true to settle 3 vs 4 (B).
SETTLEMENT & SCOREBOARD · RES074

Showdown Settlement & Scoreboard Logging for RES074 (3 vs 4)

[RES074-C3] Comparing [RES074] final totals (6c), Player 3 vs Banker 4 awards [RES074] to Banker (B), which pays 0.95:1 on 5%-commission [RES074] layouts (or 0.5:1 on 6 at No-Commission [RES074] tables) and appends B to PPBBBPPPPB.

[RES074-D11] Side-bet & road check for [RES074] (P1+2->3 vs B1->4, 6c): [RES074] leaves [RES074] Dragon 7 inactive (needs winning 6c Banker 7, got 6c B=4) and leaves [RES074] Panda 8 inactive (needs winning 3c Player 8, got P=3); on [RES074] derived roads, Red (=) marks repeating Big Road depth and Blue (≠) marks breaking depth.

Table Reality Check

Myth vs. Truth

MythIn RES074, Banker 1 evaluates Player's three-card total (3) before deciding whether to draw.
TruthBanker 1 inspects only Player's fifth card 2 (value 2) via BANKER_TABLEAU[1][2] = true.
MythBecause RES074 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

Read Every Derived Road at Table Speed

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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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