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FINAL TOTAL RESOLUTION [RES095] · 6-CARD PROOF

Player 4 + 5 (5) vs. Banker 1 (Draws 2 (2)): 6-Card Resolution #95

In walkthrough RES095, Player opens with 2+2 (4) and draws fifth-card 5 (5) for a modulo-10 total of 9, while Banker opens with 7+4 (1) and draws sixth-card 2 (2) for 3 (6-card P outcome).

RES095 Player Path
P:4->9
RES095 Banker Path
B:1->3
RES095 Deal Length
6 Cards
RES095 Showdown
P (9v3)
Engine-Verified Scoreboard · 20 Hands

Read the Board at Table Speed

Open this shoe in /calculator
Big Road B B P P B P B B P B B B P P P B B B B P
Big Eye Boy = = ≠ = ≠ ≠ ≠ ≠ = ≠ = = = = = ≠ ≠
Small Road ≠ ≠ ≠ ≠ = = ≠ ≠ ≠ = ≠ = = ≠ ≠
Cockroach Pig ≠ = = = ≠ = ≠ = ≠ ≠ ≠ = = ≠

Scoreboard sequence paired with 6-card resolution RES095 (P4+5->9 vs B1->3).

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

RES095 Four-Card Opening Deal
Player 2+2=4 vs Banker 7+4=1

Verified non-natural start via handTotal([2,2])=4 and handTotal([7,4])=1.

RES095 Fifth-Card Modulo Proof
(4 + 5) mod 10 = 9 via 5

Player draws fifth-card 5 (value 5), transforming two-card 4 into three-card 9.

RES095 Banker Tableau Lookup
BANKER_TABLEAU[1][5] = true

Banker 1 draws sixth-card 2 (2) so (1+2) mod 10 = 3.

RES095 Card Count & Winner
6 Cards -> P (9 vs 3)

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

RES095 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 · RES095

Step-by-Step Card Arithmetic for RES095: P(2+2)+5 vs B(7+4)

Shoe deal [RES095] places 2+2 (4) on Player and 7+4 (1) on Banker; because 4 is below 6, Player draws 5 (5) and 9 truncates the decimal tens place to 9.

[RES095-B] Evaluating bankerShouldDraw(1, 5)=true (1-point automatic draw row) in [RES095], sixth-card 2 (2) advances Banker 1 via 1+2=3 to 3.

Complete 6-Card Resolution Trace for RES095
RES095 StageRES095 CardsRES095 Modulo MathRES095 Status
[RES095:Init]P(2+2)=4 vs B(7+4)=1playerShouldDraw(4)=true4-Card Deal
[RES095:5th]Player +5 (5)(4+5) mod 10 = 95th Card Sideways
[RES095:6th]Banker +2 (2)(1+2) mod 10 = 36-Card Final
[RES095:Settle]P=9 vs B=3Winner: PBig Road +P
  • [RES095-1] Confirm [RES095] opening P=4 (2+2) and B=1 (7+4) lack Natural 8/9.
  • [RES095-2] Add [RES095] fifth-card 5 (5) to P=4 for (4+5) mod 10 = 9.
  • [RES095-3] Run [RES095] BANKER_TABLEAU[1][5]=true to settle 9 vs 3 (P).
SETTLEMENT & SCOREBOARD · RES095

Showdown Settlement & Scoreboard Logging for RES095 (9 vs 3)

[RES095-C9] Comparing [RES095] final totals (6c), Player 9 vs Banker 3 awards [RES095] to Player (P), which pays 1:1 even money on [RES095] Player boxes with zero commission deducted and appends P to BBPPBPBBPB.

[RES095-D5] Side-bet & road check for [RES095] (P4+5->9 vs B1->3, 6c): [RES095] leaves [RES095] Dragon 7 inactive (needs winning 6c Banker 7, got 6c B=3) and leaves [RES095] Panda 8 inactive (needs winning 3c Player 8, got P=9); on [RES095] derived roads, Red (=) marks repeating Big Road depth and Blue (≠) marks breaking depth.

Table Reality Check

Myth vs. Truth

MythIn RES095, Banker 1 evaluates Player's three-card total (9) before deciding whether to draw.
TruthBanker 1 inspects only Player's fifth card 5 (value 5) via BANKER_TABLEAU[1][5] = true.
MythBecause RES095 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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