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FINAL TOTAL RESOLUTION [RES228] · 6-CARD PROOF

Player 5 + 7 (7) vs. Banker 3 (Draws 6 (6)): 6-Card Resolution #228

In walkthrough RES228, Player opens with A+4 (5) and draws fifth-card 7 (7) for a modulo-10 total of 2, while Banker opens with 10+3 (3) and draws sixth-card 6 (6) for 9 (6-card B outcome).

RES228 Player Path
P:5->2
RES228 Banker Path
B:3->9
RES228 Deal Length
6 Cards
RES228 Showdown
B (2v9)
Engine-Verified Scoreboard · 20 Hands

Read the Board at Table Speed

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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 RES228 (P5+7->2 vs B3->9).

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

RES228 Four-Card Opening Deal
Player A+4=5 vs Banker 10+3=3

Verified non-natural start via handTotal([A,4])=5 and handTotal([10,3])=3.

RES228 Fifth-Card Modulo Proof
(5 + 7) mod 10 = 2 via 7

Player draws fifth-card 7 (value 7), transforming two-card 5 into three-card 2.

RES228 Banker Tableau Lookup
BANKER_TABLEAU[3][7] = true

Banker 3 draws sixth-card 6 (6) so (3+6) mod 10 = 9.

RES228 Card Count & Winner
6 Cards -> B (2 vs 9)

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

RES228 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 · RES228

Step-by-Step Card Arithmetic for RES228: P(A+4)+7 vs B(10+3)

Within resolution [RES228], Player's opening A+4 totals 5 against Banker's 10+3 (3); Punto Banco rules require drawing 7 (7), and 5+7=12 extracts the terminal digit to 2.

[RES228-B] Triggered by 7 (7) in [RES228] (3-point single-shade row (0..7, 9)), Banker 3 receives 6 (6) and computes (3+6) mod 10 = 9.

Complete 6-Card Resolution Trace for RES228
RES228 StageRES228 CardsRES228 Modulo MathRES228 Status
[RES228:Init]P(A+4)=5 vs B(10+3)=3playerShouldDraw(5)=true4-Card Deal
[RES228:5th]Player +7 (7)(5+7) mod 10 = 25th Card Sideways
[RES228:6th]Banker +6 (6)(3+6) mod 10 = 96-Card Final
[RES228:Settle]P=2 vs B=9Winner: BBig Road +B
  • [RES228-1] Confirm [RES228] opening P=5 (A+4) and B=3 (10+3) lack Natural 8/9.
  • [RES228-2] Add [RES228] fifth-card 7 (7) to P=5 for (5+7) mod 10 = 2.
  • [RES228-3] Run [RES228] BANKER_TABLEAU[3][7]=true to settle 2 vs 9 (B).
SETTLEMENT & SCOREBOARD · RES228

Showdown Settlement & Scoreboard Logging for RES228 (2 vs 9)

[RES228-C3] Comparing [RES228] final totals (6c), Player 2 vs Banker 9 awards [RES228] to Banker (B), which pays 0.95:1 on 5%-commission [RES228] layouts (or 0.5:1 on 6 at No-Commission [RES228] tables) and appends B to PPBBBPPBPP.

[RES228-D6] Side-bet & road check for [RES228] (P5+7->2 vs B3->9, 6c): [RES228] leaves [RES228] Dragon 7 inactive (needs winning 6c Banker 7, got 6c B=9) and leaves [RES228] Panda 8 inactive (needs winning 3c Player 8, got P=2); on [RES228] derived roads, Red (=) marks repeating Big Road depth and Blue (≠) marks breaking depth.

Table Reality Check

Myth vs. Truth

MythIn RES228, Banker 3 evaluates Player's three-card total (2) before deciding whether to draw.
TruthBanker 3 inspects only Player's fifth card 7 (value 7) via BANKER_TABLEAU[3][7] = true.
MythBecause RES228 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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