Skip to main content
Baccarat Smart
  1. Home
  2. Third-Card Rule Chart
  3. Resolution #324
FINAL TOTAL RESOLUTION [RES324] · 5-CARD PROOF

Player 5 + 3 (3) vs. Banker 5 (Stands at 5): 5-Card Resolution #324

In walkthrough RES324, Player opens with A+4 (5) and draws fifth-card 3 (3) for a modulo-10 total of 8, while Banker opens with 2+3 (5) and stands pat at 5 (5-card P outcome).

RES324 Player Path
P:5->8
RES324 Banker Path
B:5->5
RES324 Deal Length
5 Cards
RES324 Showdown
P (8v5)
Engine-Verified Scoreboard · 20 Hands

Read the Board at Table Speed

Open this shoe in /calculator
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 5-card resolution RES324 (P5+3->8 vs B5->5).

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

RES324 Four-Card Opening Deal
Player A+4=5 vs Banker 2+3=5

Verified non-natural start via handTotal([A,4])=5 and handTotal([2,3])=5.

RES324 Fifth-Card Modulo Proof
(5 + 3) mod 10 = 8 via 3

Player draws fifth-card 3 (value 3), transforming two-card 5 into three-card 8.

RES324 Banker Tableau Lookup
BANKER_TABLEAU[5][3] = false

Banker 5 stands pat at 5 without pulling sixth-card 2 (2).

RES324 Card Count & Winner
5 Cards -> P (8 vs 5)

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

RES324 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 · RES324

Step-by-Step Card Arithmetic for RES324: P(A+4)+3 vs B(2+3)

Engine check [RES324] confirms `playerShouldDraw(5) === true` on A+4 vs Banker 2+3 (5); adding fifth-card 3 (3) gives 8, which evaluates modulo ten to 8.

[RES324-B] Inspecting 3=3 via 5-point four-value window (4..7) in [RES324], Banker 5 stands at 5; 2 (2) stays in the shoe instead of 7.

Complete 5-Card Resolution Trace for RES324
RES324 StageRES324 CardsRES324 Modulo MathRES324 Status
[RES324:Init]P(A+4)=5 vs B(2+3)=5playerShouldDraw(5)=true4-Card Deal
[RES324:5th]Player +3 (3)(5+3) mod 10 = 85th Card Sideways
[RES324:6th]Banker Stands (skip 2=2)Locked at 55-Card Final
[RES324:Settle]P=8 vs B=5Winner: PBig Road +P
  • [RES324-1] Confirm [RES324] opening P=5 (A+4) and B=5 (2+3) lack Natural 8/9.
  • [RES324-2] Add [RES324] fifth-card 3 (3) to P=5 for (5+3) mod 10 = 8.
  • [RES324-3] Run [RES324] BANKER_TABLEAU[5][3]=false to settle 8 vs 5 (P).
SETTLEMENT & SCOREBOARD · RES324

Showdown Settlement & Scoreboard Logging for RES324 (8 vs 5)

[RES324-C10] Comparing [RES324] final totals (5c), Player 8 vs Banker 5 awards [RES324] to Player (P), which pays 1:1 even money on [RES324] Player boxes with zero commission deducted and appends P to PPBBBPPBPP.

[RES324-D12] Side-bet & road check for [RES324] (P5+3->8 vs B5->5, 5c): [RES324] leaves [RES324] Dragon 7 inactive (needs winning 6c Banker 7, got 5c B=5) and triggers [RES324] Panda 8 (winning 3-card Player 8, 25:1); on [RES324] derived roads, Red (=) marks repeating Big Road depth and Blue (≠) marks breaking depth.

Table Reality Check

Myth vs. Truth

MythIn RES324, Banker 5 evaluates Player's three-card total (8) before deciding whether to draw.
TruthBanker 5 inspects only Player's fifth card 3 (value 3) via BANKER_TABLEAU[5][3] = false.
MythBecause RES324 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

Every reference guide, glossary definition, and road calculator on Baccarat Smart is open for everyone. When you want all 6 modules and 36 lessons (about 5.5 hours of lessons) organized in structured step-by-step order with 74 hands-on boards, 94 quiz checks along the way, and Cloud Shoe Log sync across web, iPhone, and Android, start Module 1 (10 lessons, about 64 minutes of lessons) free or unlock full membership for $25 a month.

  • 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