Texas Hold'em maths
Poker odds, computed exactly
A flush draw on the flop gets there by the river 35.0% of the time. The rule of 4 says 36%. Aces all-in against kings win 81.1% of the time and lose 18.6%. We count every card, every flop and every board, so you know the real price of each decision, and we show how.
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Latest guides
All guidesKK vs AQs: all-in odds before the flop
King pair holds a clear edge over ace-queen suited all-in before the flop, winning roughly two-thirds of boards.
How often does a set improve to a full house?
A set improves to a full house by the river more often than a simple seven-out count suggests, due to conditional probabilities on later streets.
AKo vs JTs: all-in odds before the flop
Ace King offsuit holds a mathematical edge over Jack Ten suited in all-in situations, winning more often than the underdog despite suited advantages.
Two overcards: the odds of pairing one
Compare exact two-overcard hit rates with the rule of four and pot odds to determine if a call is mathematically justified.
Straight flush odds in Texas Hold'em
Compare straight flush probabilities in Hold'em versus five-card poker and understand their rarity in hand rankings.
What are the odds of being dealt ace-king?
Ace-king appears in roughly one of eighty hands, with suited versions being rarer. Pairing chances rise significantly by the river.
Tools
Outs and pot odds calculator
Enter your outs, the pot and the bet: see your exact chance, the price of the call and whether it pays.
Equity calculator
Any two hands, any board: exact equity from every possible board, not a sample.
Poker odds chart
The whole cheat sheet on one page: outs, draws, starting hands, flops and matchups.
Hand probabilities
How often each hand comes up in Hold'em, counted over all 133,784,560 seven-card hands.
The odds, street by street
Starting hands
Pocket pairs, aces, suited cards: how often each is dealt, and what it makes by the river.
Flop odds
Sets, flush draws, pairs: what the flop really gives each kind of hand.
Outs and the rule of 2 and 4
How to count outs, and exactly how far the famous shortcut is off.
Pot odds
The price of a call as a percentage, with worked examples and common bet sizes.
ICM calculator
Tournament stacks as shares of the prize pool, ICM deals against a chip chop, and the price of the bubble.
Implied odds
When a call that loses on pot odds can still be right, and how much it needs.
All-in matchups
AA against KK, AK against QQ, the true coin flip: exact equities before the flop.
How we work
- No real-money playWe are not a poker room. We host no games, take no bets and link to no operators. Nobody pays us for an opinion.
- Every card countedFigures come from complete enumeration: every starting hand, every flop, every board. Where a formula exists, both must agree.
- Checked twiceEach table is computed by one method and confirmed by another before it is published. See the methodology.
- Maths is not a promiseGood decisions win over many hands, not in every hand. If poker stops being fun, help is free.
Know the price of every call
Count your outs, enter the pot and the bet: the calculator tells you whether the call pays on the odds.
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