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NON-NATURAL MATCHUP [M5V0] · 100-BRANCH MATRIX

Player Starts 5 vs. Banker Starts 0 (M5V0): 100-Branch Resolution Matrix

When Player opens at 5 (A+4) and Banker opens at 0 (10+K) in matchup M5V0, neither side holds a Natural. Evaluating all 100 (fifth-card 0..9 × sixth-card 0..9) branches through resolveHand() yields 45 Banker wins, 45 Player wins, and 10 ties (0 four-card, 0 five-card, and 100 six-card branches).

Matchup M5V0 Start
P=5 vs B=0
M5V0 100-Branch Split
45B/45P/10T
M5V0 4c/5c/6c Branches
0/0/100
M5V0 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 M5V0 (Player 5 vs Banker 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 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 M5V0 Initial Deal
Player A+4=5 vs Banker 10+K=0

Non-natural 4-card opening verified via playerShouldDraw(5)=true.

M5V0 100-Branch Outcome Split
45 Banker / 45 Player / 10 Tie

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

M5V0 Card-Count Distribution
0 (4-card) / 0 (5-card) / 100 (6-card)

Branch counts by total cards dealt in matchup M5V0.

M5V0 Player Action Rule
Draws 5th Card on 5

Determines whether Banker 0 uses BANKER_TABLEAU[0][p3] or the null-stand rule.

M5V0 Banker Action Rule
Draws on 10/10 5th Cards

Exact Banker response profile in matchup M5V0.

EXACT 100-BRANCH ENUMERATION · M5V0

How Matchup M5V0 (Player 5 vs. Banker 0) Resolves Across Fifth & Sixth Cards

In matchup [M5V0], Player starts with A+4=5 against Banker 10+K=0. Because P=5 is in 0–5, Player always draws the fifth card (0..9), shifting Player to 5..4 and prompting Banker 0 to consult BANKER_TABLEAU[0].

Summing all 100 (fifth 0..9 × sixth 0..9) branches for [M5V0] produces 45 Banker wins, 45 Player wins, and 10 ties across 0 four-card, 0 five-card, and 100 six-card outcomes.

Matchup M5V0 100-Branch Breakdown by Fifth Card Value (0–9)
M5V0 5th CardM5V0 Player PathM5V0 Banker PathM5V0 10-Branch B/P/TM5V0 Hand Size
[M5V0:5th=0] 10(0)[M5V0:P3] P:5+0->5[M5V0:B3] B=0 draws 6th[M5V0:Split] 4B/5P/1T[M5V0:Size] 6 cards
[M5V0:5th=1] A(1)[M5V0:P3] P:5+1->6[M5V0:B3] B=0 draws 6th[M5V0:Split] 3B/6P/1T[M5V0:Size] 6 cards
[M5V0:5th=2] 2(2)[M5V0:P3] P:5+2->7[M5V0:B3] B=0 draws 6th[M5V0:Split] 2B/7P/1T[M5V0:Size] 6 cards
[M5V0:5th=3] 3(3)[M5V0:P3] P:5+3->8[M5V0:B3] B=0 draws 6th[M5V0:Split] 1B/8P/1T[M5V0:Size] 6 cards
[M5V0:5th=4] 4(4)[M5V0:P3] P:5+4->9[M5V0:B3] B=0 draws 6th[M5V0:Split] 0B/9P/1T[M5V0:Size] 6 cards
[M5V0:5th=5] 5(5)[M5V0:P3] P:5+5->0[M5V0:B3] B=0 draws 6th[M5V0:Split] 9B/0P/1T[M5V0:Size] 6 cards
[M5V0:5th=6] 6(6)[M5V0:P3] P:5+6->1[M5V0:B3] B=0 draws 6th[M5V0:Split] 8B/1P/1T[M5V0:Size] 6 cards
[M5V0:5th=7] 7(7)[M5V0:P3] P:5+7->2[M5V0:B3] B=0 draws 6th[M5V0:Split] 7B/2P/1T[M5V0:Size] 6 cards
[M5V0:5th=8] 8(8)[M5V0:P3] P:5+8->3[M5V0:B3] B=0 draws 6th[M5V0:Split] 6B/3P/1T[M5V0:Size] 6 cards
[M5V0:5th=9] 9(9)[M5V0:P3] P:5+9->4[M5V0:B3] B=0 draws 6th[M5V0:Split] 5B/4P/1T[M5V0:Size] 6 cards
  • [M5V0-Rule1] Verify non-natural opening: P(A+4)=5 vs B(10+K)=0.
  • [M5V0-Rule2] Apply Player 0–5 draw rule first, then Banker 0 response.
  • [M5V0-Rule3] Audit 45B/45P/10T matrix total and record onto shoe PBBBBPBPB.
Table Reality Check

Myth vs. Truth

MythWhen Player starts with 5 against Banker 0 (M5V0), the higher two-card start always wins most branches.
TruthIn [M5V0], third-card draw rules shift the 100-branch total to 45B / 45P / 10T.
MythA 6-card finish in M5V0 forces a Blue break mark on Small Road.
TruthSmall Road compares Big Road column depths two columns back; card count in M5V0 never affects derived road color.
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