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FINAL TOTAL RESOLUTION [RES295] · 5-CARD PROOF

Player 0 + 9 (9) vs. Banker 4 (Stands at 4): 5-Card Resolution #295

In walkthrough RES295, Player opens with 10+K (0) and draws fifth-card 9 (9) for a modulo-10 total of 9, while Banker opens with 2+2 (4) and stands pat at 4 (5-card P outcome).

RES295 Player Path
P:0->9
RES295 Banker Path
B:4->4
RES295 Deal Length
5 Cards
RES295 Showdown
P (9v4)
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 P P P B B B B P P B P B B
Big Eye Boy = = ≠ = = ≠ = ≠ = = ≠ ≠ = ≠ ≠ = ≠
Small Road ≠ ≠ = ≠ = ≠ ≠ = = ≠ = ≠ ≠ ≠ ≠
Cockroach Pig ≠ ≠ ≠ = ≠ ≠ = = ≠ ≠ ≠ ≠ ≠ =

Scoreboard sequence paired with 5-card resolution RES295 (P0+9->9 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

Column 5 has 1 bead. Column 3 has 1 bead. Same depth → red (=).

  1. Column 6 starts, so use Rule 1: compare Column 5 with Column 3, 2 columns further back.
  2. Column 5 has 1 bead. Column 3 has 1 bead. Same depth → red (=).

Common table reading watchout: Comparing the wrong columns. Compare Column 5, the one that just finished, with Column 3.

Cockroach Pig Mark #3

This bead is at Row 2. Column 3 stopped at Row 1, one row above → blue (≠).

  1. Column 6 goes down to Row 2, so use Rule 2: look 3 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.

Verified Reference Data

Key Facts & Table Specifications

RES295 Four-Card Opening Deal
Player 10+K=0 vs Banker 2+2=4

Verified non-natural start via handTotal([10,K])=0 and handTotal([2,2])=4.

RES295 Fifth-Card Modulo Proof
(0 + 9) mod 10 = 9 via 9

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

RES295 Banker Tableau Lookup
BANKER_TABLEAU[4][9] = false

Banker 4 stands pat at 4 without pulling sixth-card 5 (5).

RES295 Card Count & Winner
5 Cards -> P (9 vs 4)

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

RES295 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 · RES295

Step-by-Step Card Arithmetic for RES295: P(10+K)+9 vs B(2+2)

[RES295] Walkthrough #295 begins with Player holding 10+K (0) against Banker 2+2 (4); since neither side holds 8 or 9, Player draws fifth-card 9 (9) so 0+9=9 applies base-10 modular addition to 9.

[RES295-B] Next in [RES295], Banker applies 4-point six-value gate (2..7): vs 9 (9), Banker 4 stands at 4 in 5c (skipping 5=5 -> 9).

Complete 5-Card Resolution Trace for RES295
RES295 StageRES295 CardsRES295 Modulo MathRES295 Status
[RES295:Init]P(10+K)=0 vs B(2+2)=4playerShouldDraw(0)=true4-Card Deal
[RES295:5th]Player +9 (9)(0+9) mod 10 = 95th Card Sideways
[RES295:6th]Banker Stands (skip 5=5)Locked at 45-Card Final
[RES295:Settle]P=9 vs B=4Winner: PBig Road +P
  • [RES295-1] Confirm [RES295] opening P=0 (10+K) and B=4 (2+2) lack Natural 8/9.
  • [RES295-2] Add [RES295] fifth-card 9 (9) to P=0 for (0+9) mod 10 = 9.
  • [RES295-3] Run [RES295] BANKER_TABLEAU[4][9]=false to settle 9 vs 4 (P).
SETTLEMENT & SCOREBOARD · RES295

Showdown Settlement & Scoreboard Logging for RES295 (9 vs 4)

[RES295-C8] Comparing [RES295] final totals (5c), Player 9 vs Banker 4 awards [RES295] to Player (P), which pays 1:1 even money on [RES295] Player boxes with zero commission deducted and appends P to BBPPBPBPPP.

[RES295-D11] Side-bet & road check for [RES295] (P0+9->9 vs B4->4, 5c): [RES295] leaves [RES295] Dragon 7 inactive (needs winning 6c Banker 7, got 5c B=4) and leaves [RES295] Panda 8 inactive (needs winning 3c Player 8, got P=9); on [RES295] derived roads, Red (=) marks repeating Big Road depth and Blue (≠) marks breaking depth.

Table Reality Check

Myth vs. Truth

MythIn RES295, Banker 4 evaluates Player's three-card total (9) before deciding whether to draw.
TruthBanker 4 inspects only Player's fifth card 9 (value 9) via BANKER_TABLEAU[4][9] = false.
MythBecause RES295 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
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