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NON-NATURAL MATCHUP [M3V4] · 100-BRANCH MATRIX

Player Starts 3 vs. Banker Starts 4 (M3V4): 100-Branch Resolution Matrix

When Player opens at 3 (9+4) and Banker opens at 4 (2+2) in matchup M3V4, neither side holds a Natural. Evaluating all 100 (fifth-card 0..9 × sixth-card 0..9) branches through resolveHand() yields 49 Banker wins, 35 Player wins, and 16 ties (0 four-card, 40 five-card, and 60 six-card branches).

Matchup M3V4 Start
P=3 vs B=4
M3V4 100-Branch Split
49B/35P/16T
M3V4 4c/5c/6c Branches
0/40/60
M3V4 Step 2 Action
P Draws
Engine-Verified Scoreboard · 34 Hands

Read the Board at Table Speed

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

Scoreboard trajectory paired with the 100-branch matchup matrix M3V4 (Player 3 vs Banker 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

This bead is at Row 4. Column 1 stopped at Row 1, more than one row above → red (=).

  1. Column 2 goes down to Row 4, so use Rule 2: look 1 column back, at Column 1.
  2. Column 1 stopped at Row 1, more than one row above → red (=).

Common table reading watchout: Thinking "no bead at this row" means blue. It is blue only when Column 1 stopped exactly one row above this bead.

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

Matchup M3V4 Initial Deal
Player 9+4=3 vs Banker 2+2=4

Non-natural 4-card opening verified via playerShouldDraw(3)=true.

M3V4 100-Branch Outcome Split
49 Banker / 35 Player / 16 Tie

Exact enumeration across all 100 (fifthCard 0..9 × sixthCard 0..9) value pairs.

M3V4 Card-Count Distribution
0 (4-card) / 40 (5-card) / 60 (6-card)

Branch counts by total cards dealt in matchup M3V4.

M3V4 Player Action Rule
Draws 5th Card on 3

Determines whether Banker 4 uses BANKER_TABLEAU[4][p3] or the null-stand rule.

M3V4 Banker Action Rule
Draws on 6/10 5th Cards

Exact Banker response profile in matchup M3V4.

EXACT 100-BRANCH ENUMERATION · M3V4

How Matchup M3V4 (Player 3 vs. Banker 4) Resolves Across Fifth & Sixth Cards

In matchup [M3V4], Player starts with 9+4=3 against Banker 2+2=4. Because P=3 is in 0–5, Player always draws the fifth card (0..9), shifting Player to 3..2 and prompting Banker 4 to consult BANKER_TABLEAU[4].

Summing all 100 (fifth 0..9 × sixth 0..9) branches for [M3V4] produces 49 Banker wins, 35 Player wins, and 16 ties across 0 four-card, 40 five-card, and 60 six-card outcomes.

Matchup M3V4 100-Branch Breakdown by Fifth Card Value (0–9)
M3V4 5th CardM3V4 Player PathM3V4 Banker PathM3V4 10-Branch B/P/TM3V4 Hand Size
[M3V4:5th=0] 10(0)[M3V4:P3] P:3+0->3[M3V4:BPat] B=4 stands[M3V4:Split] 10B/0P/0T[M3V4:Size] 5 cards
[M3V4:5th=1] A(1)[M3V4:P3] P:3+1->4[M3V4:BPat] B=4 stands[M3V4:Split] 0B/0P/10T[M3V4:Size] 5 cards
[M3V4:5th=2] 2(2)[M3V4:P3] P:3+2->5[M3V4:B3] B=4 draws 6th[M3V4:Split] 4B/5P/1T[M3V4:Size] 6 cards
[M3V4:5th=3] 3(3)[M3V4:P3] P:3+3->6[M3V4:B3] B=4 draws 6th[M3V4:Split] 3B/6P/1T[M3V4:Size] 6 cards
[M3V4:5th=4] 4(4)[M3V4:P3] P:3+4->7[M3V4:B3] B=4 draws 6th[M3V4:Split] 2B/7P/1T[M3V4:Size] 6 cards
[M3V4:5th=5] 5(5)[M3V4:P3] P:3+5->8[M3V4:B3] B=4 draws 6th[M3V4:Split] 1B/8P/1T[M3V4:Size] 6 cards
[M3V4:5th=6] 6(6)[M3V4:P3] P:3+6->9[M3V4:B3] B=4 draws 6th[M3V4:Split] 0B/9P/1T[M3V4:Size] 6 cards
[M3V4:5th=7] 7(7)[M3V4:P3] P:3+7->0[M3V4:B3] B=4 draws 6th[M3V4:Split] 9B/0P/1T[M3V4:Size] 6 cards
[M3V4:5th=8] 8(8)[M3V4:P3] P:3+8->1[M3V4:BPat] B=4 stands[M3V4:Split] 10B/0P/0T[M3V4:Size] 5 cards
[M3V4:5th=9] 9(9)[M3V4:P3] P:3+9->2[M3V4:BPat] B=4 stands[M3V4:Split] 10B/0P/0T[M3V4:Size] 5 cards
  • [M3V4-Rule1] Verify non-natural opening: P(9+4)=3 vs B(2+2)=4.
  • [M3V4-Rule2] Apply Player 0–5 draw rule first, then Banker 4 response.
  • [M3V4-Rule3] Audit 49B/35P/16T matrix total and record onto shoe PBBBBPBPB.
Table Reality Check

Myth vs. Truth

MythWhen Player starts with 3 against Banker 4 (M3V4), the higher two-card start always wins most branches.
TruthIn [M3V4], third-card draw rules shift the 100-branch total to 49B / 35P / 16T.
MythA 6-card finish in M3V4 forces a Blue break mark on Small Road.
TruthSmall Road compares Big Road column depths two columns back; card count in M3V4 never affects derived road color.
6 modules · 36 lessons · $25/month · Module 1 (10 lessons) free

Read Every Derived Road at Table Speed

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