Poker Odds Calculator
Probability and odds of every 5-card poker hand
| Hand | Combinations | Probability |
|---|
Common Heads-Up Preflop Matchups (Texas Hold'em)
Widely-cited approximate equities by matchup type — actual equity for any two specific hands varies slightly with exact cards and suits.
| Matchup type | Example | Approx. equity |
|---|---|---|
| Bigger pair vs. smaller pair ("coinflip domination") | K♠K♦ vs. Q♣Q♥ | ~82% / 18% |
| Pair vs. two overcards ("classic flip") | 5♠5♦ vs. A♣K♥ | ~55% / 45% |
| Pair vs. one overcard, one undercard | J♠J♦ vs. A♣T♥ | ~71% / 29% |
| Pair vs. two undercards (big favorite) | A♠A♦ vs. 7♣2♥ | ~85% / 15% |
| Two overcards vs. two undercards ("race") | A♠K♦ vs. 7♣2♥ | ~63% / 37% |
| Dominated same high card | A♠K♦ vs. A♣Q♥ | ~74% / 26% |
Frequently Asked Questions
Odds are calculated by combinatorics: counting the exact number of 5-card combinations that make each hand type out of the total C(52,5) = 2,598,960 possible 5-card hands from a standard 52-card deck, with no wild cards.
A royal flush is the rarest, with only 4 possible combinations out of 2,598,960 — odds of about 1 in 649,740. A straight flush (excluding royal) is next rarest at 1 in 72,193.
Probability is the chance expressed as a percentage or fraction (e.g. 0.0015%). Odds are expressed as a ratio against the event happening (e.g. 1 in 64,974), which is just another way of showing the same underlying frequency.
No — these are the standard odds for 5-card poker (as dealt in 5-card draw, or the best 5-card hand in 7-card games like Texas Hold'em/Omaha) using a standard 52-card deck with no wild cards or jokers.
See the reference table below for widely-cited approximate equities in common heads-up preflop matchup categories (e.g. a pocket pair vs. two overcards runs roughly 55/45). Exact equity for any specific two hands depends on card blockers and suits, so these are representative averages for each matchup type, not a live simulator.