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FINAL TOTAL RESOLUTION [RES116] · 6-CARD PROOF

Player 1 + 9 (9) vs. Banker 1 (Draws 6 (6)): 6-Card Resolution #116

In walkthrough RES116, Player opens with 7+4 (1) and draws fifth-card 9 (9) for a modulo-10 total of 0, while Banker opens with 10+A (1) and draws sixth-card 6 (6) for 7 (6-card B outcome).

RES116 Player Path
P:1->0
RES116 Banker Path
B:1->7
RES116 Deal Length
6 Cards
RES116 Showdown
B (0v7)
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 RES116 (P1+9->0 vs B1->7).

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

RES116 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.

RES116 Fifth-Card Modulo Proof
(1 + 9) mod 10 = 0 via 9

Player draws fifth-card 9 (value 9), transforming two-card 1 into three-card 0.

RES116 Banker Tableau Lookup
BANKER_TABLEAU[1][9] = true

Banker 1 draws sixth-card 6 (6) so (1+6) mod 10 = 7.

RES116 Card Count & Winner
6 Cards -> B (0 vs 7)

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

RES116 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 · RES116

Step-by-Step Card Arithmetic for RES116: P(7+4)+9 vs B(10+A)

Within resolution [RES116], Player's opening 7+4 totals 1 against Banker's 10+A (1); Punto Banco rules require drawing 9 (9), and 1+9=10 extracts the terminal digit to 0.

[RES116-B] Acting on 9=9 inside [RES116], Banker 1 follows 1-point automatic draw row and pulls 6 (6) for 1+6=7 -> 7.

Complete 6-Card Resolution Trace for RES116
RES116 StageRES116 CardsRES116 Modulo MathRES116 Status
[RES116:Init]P(7+4)=1 vs B(10+A)=1playerShouldDraw(1)=true4-Card Deal
[RES116:5th]Player +9 (9)(1+9) mod 10 = 05th Card Sideways
[RES116:6th]Banker +6 (6)(1+6) mod 10 = 76-Card Final
[RES116:Settle]P=0 vs B=7Winner: BBig Road +B
  • [RES116-1] Confirm [RES116] opening P=1 (7+4) and B=1 (10+A) lack Natural 8/9.
  • [RES116-2] Add [RES116] fifth-card 9 (9) to P=1 for (1+9) mod 10 = 0.
  • [RES116-3] Run [RES116] BANKER_TABLEAU[1][9]=true to settle 0 vs 7 (B).
SETTLEMENT & SCOREBOARD · RES116

Showdown Settlement & Scoreboard Logging for RES116 (0 vs 7)

[RES116-C4] Comparing [RES116] final totals (6c), Player 0 vs Banker 7 awards [RES116] to Banker (B), which pays 0.95:1 on 5%-commission [RES116] layouts (or 0.5:1 on 6 at No-Commission [RES116] tables) and appends B to PPBBBPPBPP.

[RES116-D12] Side-bet & road check for [RES116] (P1+9->0 vs B1->7, 6c): [RES116] triggers [RES116] Dragon 7 (winning 3-card Banker 7, 40:1) and leaves [RES116] Panda 8 inactive (needs winning 3c Player 8, got P=0); on [RES116] derived roads, Red (=) marks repeating Big Road depth and Blue (≠) marks breaking depth.

Table Reality Check

Myth vs. Truth

MythIn RES116, Banker 1 evaluates Player's three-card total (0) before deciding whether to draw.
TruthBanker 1 inspects only Player's fifth card 9 (value 9) via BANKER_TABLEAU[1][9] = true.
MythBecause RES116 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
  • Cloud Shoe Log and cross-device progress on web, iOS, and Android