Skip to main content
Baccarat Smart
  1. Home
  2. Third-Card Rule Chart
  3. Resolution #341
FINAL TOTAL RESOLUTION [RES341] · 6-CARD PROOF

Player 4 + 6 (6) vs. Banker 5 (Draws 5 (5)): 6-Card Resolution #341

In walkthrough RES341, Player opens with 2+2 (4) and draws fifth-card 6 (6) for a modulo-10 total of 0, while Banker opens with A+4 (5) and draws sixth-card 5 (5) for 0 (6-card T outcome).

RES341 Player Path
P:4->0
RES341 Banker Path
B:5->0
RES341 Deal Length
6 Cards
RES341 Showdown
T (0v0)
Engine-Verified Scoreboard · 20 Hands

Read the Board at Table Speed

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

Scoreboard sequence paired with 6-card resolution RES341 (P4+6->0 vs B5->0).

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

This bead is at Row 2. Column 2 has a bead at Row 2 too → red (=).

  1. Column 3 goes down to Row 2, so use Rule 2: look 1 column back, at Column 2.
  2. Column 2 has a bead at Row 2 too → red (=).

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.

Small Road Mark #3

Column 4 has 1 bead. Column 2 has 2 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 2 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 6 has 1 bead. Column 3 has 2 beads. Different depth → blue (≠).

  1. Column 7 starts, so use Rule 1: compare Column 6 with Column 3, 3 columns further back.
  2. Column 6 has 1 bead. Column 3 has 2 beads. Different depth → blue (≠).

Common table reading watchout: Comparing the wrong columns. Compare Column 6, the one that just finished, with Column 3.

Verified Reference Data

Key Facts & Table Specifications

RES341 Four-Card Opening Deal
Player 2+2=4 vs Banker A+4=5

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

RES341 Fifth-Card Modulo Proof
(4 + 6) mod 10 = 0 via 6

Player draws fifth-card 6 (value 6), transforming two-card 4 into three-card 0.

RES341 Banker Tableau Lookup
BANKER_TABLEAU[5][6] = true

Banker 5 draws sixth-card 5 (5) so (5+5) mod 10 = 0.

RES341 Card Count & Winner
6 Cards -> T (0 vs 0)

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

RES341 Derived Road Independence
Red (=) / Blue (≠) Symmetry Only

Big Eye Boy, Small Road, and Cockroach Pig compare Big Road column depths, not T vs B.

MODULO-10 ARITHMETIC · RES341

Step-by-Step Card Arithmetic for RES341: P(2+2)+6 vs B(A+4)

Under audit [RES341], Player opens on two-card 4 (2+2) opposite Banker 5 (A+4), triggering a mandatory fifth-card pull of 6 (value 6) that settles via mod-10 arithmetic from 10 into 0.

[RES341-B] Evaluating bankerShouldDraw(5, 6)=true (5-point four-value window (4..7)) in [RES341], sixth-card 5 (5) advances Banker 5 via 5+5=10 to 0.

Complete 6-Card Resolution Trace for RES341
RES341 StageRES341 CardsRES341 Modulo MathRES341 Status
[RES341:Init]P(2+2)=4 vs B(A+4)=5playerShouldDraw(4)=true4-Card Deal
[RES341:5th]Player +6 (6)(4+6) mod 10 = 05th Card Sideways
[RES341:6th]Banker +5 (5)(5+5) mod 10 = 06-Card Final
[RES341:Settle]P=0 vs B=0Winner: TBig Road +T
  • [RES341-1] Confirm [RES341] opening P=4 (2+2) and B=5 (A+4) lack Natural 8/9.
  • [RES341-2] Add [RES341] fifth-card 6 (6) to P=4 for (4+6) mod 10 = 0.
  • [RES341-3] Run [RES341] BANKER_TABLEAU[5][6]=true to settle 0 vs 0 (T).
SETTLEMENT & SCOREBOARD · RES341

Showdown Settlement & Scoreboard Logging for RES341 (0 vs 0)

[RES341-C7] Comparing [RES341] final totals (6c), Player 0 vs Banker 0 awards [RES341] to Tie (T), which pushes main [RES341] Player/Banker wagers while settling [RES341] Tie bets at 8:1 or 9:1 and appends T to BBPPBBPBPB.

[RES341-D9] Side-bet & road check for [RES341] (P4+6->0 vs B5->0, 6c): [RES341] leaves [RES341] Dragon 7 inactive (needs winning 6c Banker 7, got 6c B=0) and leaves [RES341] Panda 8 inactive (needs winning 3c Player 8, got P=0); on [RES341] derived roads, Red (=) marks repeating Big Road depth and Blue (≠) marks breaking depth.

Table Reality Check

Myth vs. Truth

MythIn RES341, Banker 5 evaluates Player's three-card total (0) before deciding whether to draw.
TruthBanker 5 inspects only Player's fifth card 6 (value 6) via BANKER_TABLEAU[5][6] = true.
MythBecause RES341 resolves as T, the next derived-road mark must match T'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