Poker Equity Calculator
Monte-Carlo hand-vs-hand equity for Texas Hold'em pre-flop matchups.
Overview
The Poker Equity Calculator runs Monte-Carlo simulations to estimate the win probability of two Texas Hold'em hands in a pre-flop matchup. Enter your hole cards and your opponent's hole cards, click run, and the calculator deals tens of thousands of random boards, scoring each one and tallying how often each hand wins or ties.
Hand-vs-hand equity is the foundation of pre-flop decision-making. Knowing that AKs is about 65 percent against TT, or that 22 versus AK is the famous coin-flip near 53-47, lets you reason about ranges, push-fold spots, and tournament ICM scenarios with real numbers instead of vibes.
How it works
For each iteration, the simulator removes the four hole cards from a fresh 52-card deck and deals five community cards uniformly without replacement. Both players' best 5-card hands are then evaluated from the seven-card pool (two hole + five community), and the winner is recorded. Tied hands split the iteration as 0.5 to each side.
The hand evaluator ranks the 21 possible five-card subsets of each seven-card pool and returns the top rank. Ranking compresses hand category (high card, pair, two pair, etc.) into a primary key with kickers as tiebreakers, so two flushes are compared by top card, then second card, and so on. Running 50 000+ iterations brings the equity estimate within roughly half a percent of the true closed-form value.
Examples
- AKs vs QQ: about 46 percent — a slight underdog, contrary to the common assumption.
- AKs vs TT: about 50 percent — the "classic coin flip" with a tiny edge to the over-pair.
- AA vs KK: about 81 percent — the dream matchup for AA.
- 72o vs AKo: about 35 percent — even the famous worst hand wins more than a third of the time pre-flop.
FAQ
Why is the result a range, not an exact number?
Monte-Carlo estimates have variance. The closed-form combinatorial number exists for 2-vs-2 but is computationally cheaper to estimate.
How many iterations do I need?
10 000 iterations give about 1 percent precision; 100 000 gives about 0.3 percent.
Can I run multi-way pots?
This implementation handles heads-up. Multi-way equity requires more inputs and a different evaluator.
Does it support Omaha or Stud?
Texas Hold'em only.
Why does my AKs vs 22 result hover near 50-50?
That's the famous race. Pairs are slight favourites against two over-cards; suitedness narrows the gap.