poker MATH APPLIED PROBABILITY INSTITUTE
APPLIED PROBABILITY INSTITUTE // OPEN SCIENCE

Applied Research & Open Data

Reproducible empirical studies, peer-reviewed methodology, and open-source datasets for poker game theory analysis.

EMPIRICAL WHITEPAPER // 10 MILLION HANDS PEER-GRADE

Preflop Equity Distribution & Card Removal Empirical Study

Exhaustive Monte Carlo evaluation of 1,326 starting hand permutations, blocker impact on opponent ranges, and cash game rake drag in Texas Hold'em.

SampleSize 1,326 Combos
MC Trials 100,000 / Hand
BENCHMARK DATASET // 10M HANDS RAW CSV

Texas Hold'em 1,326 Equity Matrix

Full 1,326-row dataset featuring every suit combination, hot-and-cold equities, win/tie rates, and multi-range defense metrics.

Format CSV (142 KB)
Metrics 21 Columns
PYTHON WORKBOOK // REPRODUCIBLE CODE PYTHON 3.11

Monte Carlo Simulation Engine (Python 3)

Open-source simulation suite to reproduce preflop equity calculations, heads-up matchups, and cash game rake drag analysis.

Execution command:
python poker_monte_carlo_engine.py --verify

Live Dataset Sample (First 5 Rows)

Sample canonical hands demonstrating preflop equities, playability scores, and GTO opening classifications

Download Complete CSV (1,326 Combos)
Hand Category Combos Equity vs Random vs Top 10% Playability Tier GTO Action
AA Pocket Pair 6 85.20% 82.50% 10.0 / 10 Tier 1 (Premium) 100% Open
KK Pocket Pair 6 82.40% 74.30% 9.8 / 10 Tier 1 (Premium) 100% Open
QQ Pocket Pair 6 79.92% 67.20% 9.6 / 10 Tier 1 (Premium) 100% Open
AKs Suited Broadway 4 67.04% 63.10% 9.5 / 10 Tier 1 (Premium) 100% Open
JJ Pocket Pair 6 77.47% 61.10% 9.2 / 10 Tier 1 (Premium) 100% Open
AKo Offsuit Broadway 12 65.31% 60.80% 8.8 / 10 Tier 1 (Premium) 100% Open
76s Suited Connector 4 47.53% 27.20% 7.7 / 10 Tier 3 (Playable) Open (CO/BTN)
72o Offsuit Unconnected 12 34.58% 7.80% 1.0 / 10 Tier 5 (Trash) Pure Fold
18+ RISK NOTICE