Skip to main content
Baccarat Smart
  1. Home
  2. Third-Card Rule Chart
  3. Resolution #311
FINAL TOTAL RESOLUTION [RES311] · 5-CARD PROOF

Player 4 + A (1) vs. Banker 5 (Stands at 5): 5-Card Resolution #311

In walkthrough RES311, Player opens with 2+2 (4) and draws fifth-card A (1) for a modulo-10 total of 5, while Banker opens with A+4 (5) and stands pat at 5 (5-card T outcome).

RES311 Player Path
P:4->5
RES311 Banker Path
B:5->5
RES311 Deal Length
5 Cards
RES311 Showdown
T (5v5)
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 RES311 (P4+1->5 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 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

RES311 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.

RES311 Fifth-Card Modulo Proof
(4 + 1) mod 10 = 5 via A

Player draws fifth-card A (value 1), transforming two-card 4 into three-card 5.

RES311 Banker Tableau Lookup
BANKER_TABLEAU[5][1] = false

Banker 5 stands pat at 5 without pulling sixth-card 10 (0).

RES311 Card Count & Winner
5 Cards -> T (5 vs 5)

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

RES311 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 · RES311

Step-by-Step Card Arithmetic for RES311: P(2+2)+A vs B(A+4)

During tableau case [RES311], Player holds 2+2 for 4 while Banker holds A+4 for 5; drawing fifth-card A (1) shifts Player from 4 to 5, which reduces mod-10 to 5.

[RES311-B] Inspecting A=1 via 5-point four-value window (4..7) in [RES311], Banker 5 stands at 5; 10 (0) stays in the shoe instead of 5.

Complete 5-Card Resolution Trace for RES311
RES311 StageRES311 CardsRES311 Modulo MathRES311 Status
[RES311:Init]P(2+2)=4 vs B(A+4)=5playerShouldDraw(4)=true4-Card Deal
[RES311:5th]Player +A (1)(4+1) mod 10 = 55th Card Sideways
[RES311:6th]Banker Stands (skip 10=0)Locked at 55-Card Final
[RES311:Settle]P=5 vs B=5Winner: TBig Road +T
  • [RES311-1] Confirm [RES311] opening P=4 (2+2) and B=5 (A+4) lack Natural 8/9.
  • [RES311-2] Add [RES311] fifth-card A (1) to P=4 for (4+1) mod 10 = 5.
  • [RES311-3] Run [RES311] BANKER_TABLEAU[5][1]=false to settle 5 vs 5 (T).
SETTLEMENT & SCOREBOARD · RES311

Showdown Settlement & Scoreboard Logging for RES311 (5 vs 5)

[RES311-C0] Comparing [RES311] final totals (5c), Player 5 vs Banker 5 awards [RES311] to Tie (T), which pushes main [RES311] Player/Banker wagers while settling [RES311] Tie bets at 8:1 or 9:1 and appends T to BBPPBPBPPP.

[RES311-D12] Side-bet & road check for [RES311] (P4+1->5 vs B5->5, 5c): [RES311] leaves [RES311] Dragon 7 inactive (needs winning 6c Banker 7, got 5c B=5) and leaves [RES311] Panda 8 inactive (needs winning 3c Player 8, got P=5); on [RES311] derived roads, Red (=) marks repeating Big Road depth and Blue (≠) marks breaking depth.

Table Reality Check

Myth vs. Truth

MythIn RES311, Banker 5 evaluates Player's three-card total (5) before deciding whether to draw.
TruthBanker 5 inspects only Player's fifth card A (value 1) via BANKER_TABLEAU[5][1] = false.
MythBecause RES311 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