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FINAL TOTAL RESOLUTION [RES004] · 6-CARD PROOF

Player 3 + 10 (0) vs. Banker 0 (Draws 2 (2)): 6-Card Resolution #4

In walkthrough RES004, Player opens with 9+4 (3) and draws fifth-card 10 (0) for a modulo-10 total of 3, while Banker opens with 6+4 (0) and draws sixth-card 2 (2) for 2 (6-card P outcome).

RES004 Player Path
P:3->3
RES004 Banker Path
B:0->2
RES004 Deal Length
6 Cards
RES004 Showdown
P (3v2)
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 B P P B B P B B B P P P P
Big Eye Boy = ≠ ≠ = ≠ ≠ ≠ ≠ = = ≠ ≠ = ≠ = = ≠
Small Road = = ≠ = = ≠ ≠ ≠ = ≠ ≠ ≠ = =
Cockroach Pig ≠ = ≠ = = = = ≠ ≠ = ≠ =

Scoreboard sequence paired with 6-card resolution RES004 (P3+0->3 vs B0->2).

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

Column 4 has 1 bead. Column 2 has 3 beads. Different depth → blue (≠).

  1. Column 5 starts, so use Rule 1: compare Column 4 with Column 2, 2 columns further back.
  2. Column 4 has 1 bead. Column 2 has 3 beads. Different depth → blue (≠).

Common table reading watchout: Comparing the wrong columns. Compare Column 4, the one that just finished, with Column 2.

Cockroach Pig Mark #3

Column 5 has 2 beads. 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 2 beads. 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

RES004 Four-Card Opening Deal
Player 9+4=3 vs Banker 6+4=0

Verified non-natural start via handTotal([9,4])=3 and handTotal([6,4])=0.

RES004 Fifth-Card Modulo Proof
(3 + 0) mod 10 = 3 via 10

Player draws fifth-card 10 (value 0), transforming two-card 3 into three-card 3.

RES004 Banker Tableau Lookup
BANKER_TABLEAU[0][0] = true

Banker 0 draws sixth-card 2 (2) so (0+2) mod 10 = 2.

RES004 Card Count & Winner
6 Cards -> P (3 vs 2)

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

RES004 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 · RES004

Step-by-Step Card Arithmetic for RES004: P(9+4)+10 vs B(6+4)

Within resolution [RES004], Player's opening 9+4 totals 3 against Banker's 6+4 (0); Punto Banco rules require drawing 10 (0), and 3+0=3 extracts the terminal digit to 3.

[RES004-B] Evaluating bankerShouldDraw(0, 0)=true (0-point unconditional draw tier) in [RES004], sixth-card 2 (2) advances Banker 0 via 0+2=2 to 2.

Complete 6-Card Resolution Trace for RES004
RES004 StageRES004 CardsRES004 Modulo MathRES004 Status
[RES004:Init]P(9+4)=3 vs B(6+4)=0playerShouldDraw(3)=true4-Card Deal
[RES004:5th]Player +10 (0)(3+0) mod 10 = 35th Card Sideways
[RES004:6th]Banker +2 (2)(0+2) mod 10 = 26-Card Final
[RES004:Settle]P=3 vs B=2Winner: PBig Road +P
  • [RES004-1] Confirm [RES004] opening P=3 (9+4) and B=0 (6+4) lack Natural 8/9.
  • [RES004-2] Add [RES004] fifth-card 10 (0) to P=3 for (3+0) mod 10 = 3.
  • [RES004-3] Run [RES004] BANKER_TABLEAU[0][0]=true to settle 3 vs 2 (P).
SETTLEMENT & SCOREBOARD · RES004

Showdown Settlement & Scoreboard Logging for RES004 (3 vs 2)

[RES004-C5] Comparing [RES004] final totals (6c), Player 3 vs Banker 2 awards [RES004] to Player (P), which pays 1:1 even money on [RES004] Player boxes with zero commission deducted and appends P to PPBBBPPBPP.

[RES004-D5] Side-bet & road check for [RES004] (P3+0->3 vs B0->2, 6c): [RES004] leaves [RES004] Dragon 7 inactive (needs winning 6c Banker 7, got 6c B=2) and leaves [RES004] Panda 8 inactive (needs winning 3c Player 8, got P=3); on [RES004] derived roads, Red (=) marks repeating Big Road depth and Blue (≠) marks breaking depth.

Table Reality Check

Myth vs. Truth

MythIn RES004, Banker 0 evaluates Player's three-card total (3) before deciding whether to draw.
TruthBanker 0 inspects only Player's fifth card 10 (value 0) via BANKER_TABLEAU[0][0] = true.
MythBecause RES004 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.
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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