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FINAL TOTAL RESOLUTION [RES252] · 5-CARD PROOF

Player 5 + A (1) vs. Banker 4 (Stands at 4): 5-Card Resolution #252

In walkthrough RES252, Player opens with A+4 (5) and draws fifth-card A (1) for a modulo-10 total of 6, while Banker opens with A+3 (4) and stands pat at 4 (5-card P outcome).

RES252 Player Path
P:5->6
RES252 Banker Path
B:4->4
RES252 Deal Length
5 Cards
RES252 Showdown
P (6v4)
Engine-Verified Scoreboard · 20 Hands

Read the Board at Table Speed

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

Scoreboard sequence paired with 5-card resolution RES252 (P5+1->6 vs B4->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 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 3. Column 2 stopped at Row 2, one row above → blue (≠).

  1. Column 4 goes down to Row 3, so use Rule 2: look 2 columns back, at Column 2.
  2. Column 2 stopped at Row 2, one row above → blue (≠).

Common table reading watchout: Thinking "no bead at this row" means blue. It is blue only when Column 2 stopped exactly one row above this bead.

Cockroach Pig Mark #3

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

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

Common table reading watchout: Comparing the wrong columns. Compare Column 4, the one that just finished, with Column 1.

Verified Reference Data

Key Facts & Table Specifications

RES252 Four-Card Opening Deal
Player A+4=5 vs Banker A+3=4

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

RES252 Fifth-Card Modulo Proof
(5 + 1) mod 10 = 6 via A

Player draws fifth-card A (value 1), transforming two-card 5 into three-card 6.

RES252 Banker Tableau Lookup
BANKER_TABLEAU[4][1] = false

Banker 4 stands pat at 4 without pulling sixth-card 3 (3).

RES252 Card Count & Winner
5 Cards -> P (6 vs 4)

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

RES252 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 · RES252

Step-by-Step Card Arithmetic for RES252: P(A+4)+A vs B(A+3)

Step-by-step proof [RES252] pairs Player A+4 (5) with Banker A+3 (4); because 5 sits in the 0..5 draw zone, fifth-card A (1) lands and 5+1=6 resolves the unit-digit sum to 6.

[RES252-B] Five-card branch [RES252] ends as A (1) falls outside 4-point six-value gate (2..7), keeping Banker 4 at 4 rather than 7 via 3.

Complete 5-Card Resolution Trace for RES252
RES252 StageRES252 CardsRES252 Modulo MathRES252 Status
[RES252:Init]P(A+4)=5 vs B(A+3)=4playerShouldDraw(5)=true4-Card Deal
[RES252:5th]Player +A (1)(5+1) mod 10 = 65th Card Sideways
[RES252:6th]Banker Stands (skip 3=3)Locked at 45-Card Final
[RES252:Settle]P=6 vs B=4Winner: PBig Road +P
  • [RES252-1] Confirm [RES252] opening P=5 (A+4) and B=4 (A+3) lack Natural 8/9.
  • [RES252-2] Add [RES252] fifth-card A (1) to P=5 for (5+1) mod 10 = 6.
  • [RES252-3] Run [RES252] BANKER_TABLEAU[4][1]=false to settle 6 vs 4 (P).
SETTLEMENT & SCOREBOARD · RES252

Showdown Settlement & Scoreboard Logging for RES252 (6 vs 4)

[RES252-C2] Comparing [RES252] final totals (5c), Player 6 vs Banker 4 awards [RES252] to Player (P), which pays 1:1 even money on [RES252] Player boxes with zero commission deducted and appends P to PPBBPBBBPP.

[RES252-D1] Side-bet & road check for [RES252] (P5+1->6 vs B4->4, 5c): [RES252] leaves [RES252] Dragon 7 inactive (needs winning 6c Banker 7, got 5c B=4) and leaves [RES252] Panda 8 inactive (needs winning 3c Player 8, got P=6); on [RES252] derived roads, Red (=) marks repeating Big Road depth and Blue (≠) marks breaking depth.

Table Reality Check

Myth vs. Truth

MythIn RES252, Banker 4 evaluates Player's three-card total (6) before deciding whether to draw.
TruthBanker 4 inspects only Player's fifth card A (value 1) via BANKER_TABLEAU[4][1] = false.
MythBecause RES252 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

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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