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NON-NATURAL MATCHUP [M4V5] · 100-BRANCH MATRIX

Player Starts 4 vs. Banker Starts 5 (M4V5): 100-Branch Resolution Matrix

When Player opens at 4 (A+3) and Banker opens at 5 (2+3) in matchup M4V5, neither side holds a Natural. Evaluating all 100 (fifth-card 0..9 × sixth-card 0..9) branches through resolveHand() yields 48 Banker wins, 38 Player wins, and 14 ties (0 four-card, 60 five-card, and 40 six-card branches).

Matchup M4V5 Start
P=4 vs B=5
M4V5 100-Branch Split
48B/38P/14T
M4V5 4c/5c/6c Branches
0/60/40
M4V5 Step 2 Action
P Draws
Engine-Verified Scoreboard · 34 Hands

Read the Board at Table Speed

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

Scoreboard trajectory paired with the 100-branch matchup matrix M4V5 (Player 4 vs Banker 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

This bead is at Row 4. Column 1 stopped at Row 2, 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 2, 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 M4V5 Initial Deal
Player A+3=4 vs Banker 2+3=5

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

M4V5 100-Branch Outcome Split
48 Banker / 38 Player / 14 Tie

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

M4V5 Card-Count Distribution
0 (4-card) / 60 (5-card) / 40 (6-card)

Branch counts by total cards dealt in matchup M4V5.

M4V5 Player Action Rule
Draws 5th Card on 4

Determines whether Banker 5 uses BANKER_TABLEAU[5][p3] or the null-stand rule.

M4V5 Banker Action Rule
Draws on 4/10 5th Cards

Exact Banker response profile in matchup M4V5.

EXACT 100-BRANCH ENUMERATION · M4V5

How Matchup M4V5 (Player 4 vs. Banker 5) Resolves Across Fifth & Sixth Cards

In matchup [M4V5], Player starts with A+3=4 against Banker 2+3=5. Because P=4 is in 0–5, Player always draws the fifth card (0..9), shifting Player to 4..3 and prompting Banker 5 to consult BANKER_TABLEAU[5].

Summing all 100 (fifth 0..9 × sixth 0..9) branches for [M4V5] produces 48 Banker wins, 38 Player wins, and 14 ties across 0 four-card, 60 five-card, and 40 six-card outcomes.

Matchup M4V5 100-Branch Breakdown by Fifth Card Value (0–9)
M4V5 5th CardM4V5 Player PathM4V5 Banker PathM4V5 10-Branch B/P/TM4V5 Hand Size
[M4V5:5th=0] 10(0)[M4V5:P3] P:4+0->4[M4V5:BPat] B=5 stands[M4V5:Split] 10B/0P/0T[M4V5:Size] 5 cards
[M4V5:5th=1] A(1)[M4V5:P3] P:4+1->5[M4V5:BPat] B=5 stands[M4V5:Split] 0B/0P/10T[M4V5:Size] 5 cards
[M4V5:5th=2] 2(2)[M4V5:P3] P:4+2->6[M4V5:BPat] B=5 stands[M4V5:Split] 0B/10P/0T[M4V5:Size] 5 cards
[M4V5:5th=3] 3(3)[M4V5:P3] P:4+3->7[M4V5:BPat] B=5 stands[M4V5:Split] 0B/10P/0T[M4V5:Size] 5 cards
[M4V5:5th=4] 4(4)[M4V5:P3] P:4+4->8[M4V5:B3] B=5 draws 6th[M4V5:Split] 1B/8P/1T[M4V5:Size] 6 cards
[M4V5:5th=5] 5(5)[M4V5:P3] P:4+5->9[M4V5:B3] B=5 draws 6th[M4V5:Split] 0B/9P/1T[M4V5:Size] 6 cards
[M4V5:5th=6] 6(6)[M4V5:P3] P:4+6->0[M4V5:B3] B=5 draws 6th[M4V5:Split] 9B/0P/1T[M4V5:Size] 6 cards
[M4V5:5th=7] 7(7)[M4V5:P3] P:4+7->1[M4V5:B3] B=5 draws 6th[M4V5:Split] 8B/1P/1T[M4V5:Size] 6 cards
[M4V5:5th=8] 8(8)[M4V5:P3] P:4+8->2[M4V5:BPat] B=5 stands[M4V5:Split] 10B/0P/0T[M4V5:Size] 5 cards
[M4V5:5th=9] 9(9)[M4V5:P3] P:4+9->3[M4V5:BPat] B=5 stands[M4V5:Split] 10B/0P/0T[M4V5:Size] 5 cards
  • [M4V5-Rule1] Verify non-natural opening: P(A+3)=4 vs B(2+3)=5.
  • [M4V5-Rule2] Apply Player 0–5 draw rule first, then Banker 5 response.
  • [M4V5-Rule3] Audit 48B/38P/14T matrix total and record onto shoe PPBBBBPBP.
Table Reality Check

Myth vs. Truth

MythWhen Player starts with 4 against Banker 5 (M4V5), the higher two-card start always wins most branches.
TruthIn [M4V5], third-card draw rules shift the 100-branch total to 48B / 38P / 14T.
MythA 6-card finish in M4V5 forces a Blue break mark on Small Road.
TruthSmall Road compares Big Road column depths two columns back; card count in M4V5 never affects derived road color.
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Read Every Derived Road at Table Speed

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