Poker calculator: Hold’em odds and equity
Pick up to nine hands and any board: the calculator shows each hand’s chance to win, to tie, and its equity — its share of the pot — and names the hand each player has made. It deals every possible run-out on the flop and turn, and a large random sample before the flop.
Who’s ahead?
- Player 1AKs—equityWin —Tie —
- Player 2QQ—equityWin —Tie —
Calculating…
How to read win, tie and equity
Each player gets three numbers. Win is the share of run-outs where that hand takes the whole pot. Tie is the share where it splits the pot with one or more others. Equity is the hand’s average share of the pot: an outright win counts in full, a two-way split counts half, a three-way split a third.
Equity = win % + your share of every split pot
All players’ equities add up to exactly 100%. Win percentages don’t, because a tied run-out belongs to nobody outright.
The difference matters most when two hands share cards. against wins outright only 7.2% of the time and ties 90.7% — yet its equity is 52.5%, because half of every split pot is still its money. Read equity when you want to know what a hand is worth; read win and tie when you want to know how often it scoops.
Equity is also what you compare with the price of a call. If a hand has 30% equity and the call needs 25%, calling makes money over time — the pot odds calculator works that out for you.
Classic matchups, computed exactly
These preflop numbers come from dealing every one of the 1,712,304 possible boards and scoring both hands on each — no sampling. Suits matter a little: shared suits block flushes, so the same matchup moves by a few tenths of a percent with different suits.
| Matchup | First hand | Second hand | Tie |
|---|---|---|---|
| Aces vs kingsvs | 82.6% | 17.4% | 0.5% |
| Ace-king vs ace-queenvs | 74.0% | 26.0% | 4.6% |
| King-queen vs seven-deucevs | 67.5% | 32.5% | 0.7% |
| Ace-king vs deucesvs | 47.0% | 53.0% | 0.6% |
| Ace-king suited vs queensvs | 46.2% | 53.8% | 0.4% |
| Jack-ten suited vs acesvs | 21.7% | 78.3% | 0.3% |
| Same ace-king, different suitsvs | 52.5% | 47.5% | 90.7% |
Three hands split the pot three ways: vsvs comes out at 64.3%, 16.0% and 19.6% over all 1,370,754 boards. The suited connector has more equity than the kings here — the kings mostly need one of the two remaining kings, while jack-ten has straights and flushes that beat both pairs.
After the flop
Once the flop is out, draws and made hands trade places quickly. Each row below deals every turn and river (the run-out count is in the last column):
| Spot | First hand | Second hand | Run-outs |
|---|---|---|---|
| Set vs overpairvsboard | 91.1% | 8.9% | 990 |
| Flush draw vs top pairvsboard | 45.9% | 54.1% | 990 |
| Open-ended straight draw vs overpairvsboard | 34.2% | 65.8% | 990 |
| Two overcards vs a small pairvsboard | 28.1% | 71.9% | 990 |
| Combo draw vs a set, turnvsboard | 29.5% | 70.5% | 44 |
The nut flush draw with an overcard is close to a coin flip against top pair (45.9%) with two cards to come. Two overcards against a small pair look scary but hold only 28.1%: six outs, plus a few backdoor straights. On the turn, even a flush draw plus an open-ender is a clear underdog to a set (29.5%), because a river that pairs the board gives the set a full house. Try any of these in the calculator above, then change a single card and watch the numbers move.
How the calculator works
The calculator never estimates when it doesn’t have to. With two hands face up on the flop, 45 cards are unseen, so the turn and river can arrive in 990 different ways; on the turn there are 44 possible rivers. It deals every one of them and scores each player’s best five-card hand, so flop and turn results are exact.
Before the flop, two hands leave 1,712,304 possible boards — too many to redo on every tap on a phone. There, and whenever a player holds a random hand, the calculator deals 60,000 random boards instead. That sample puts every equity within about ±0.4% of the true value 95% of the time, and the status line under the tool shows the margin for your exact spot.
| Hands face up | Preflop boards | Flop run-outs | Turn run-outs |
|---|---|---|---|
| 2 hands | 1,712,304 | 990 | 44 |
| 3 hands | 1,370,754 | 903 | 42 |
| 4 hands | 1,086,008 | 820 | 40 |
| 6 hands | 658,008 | 666 | 36 |
| 9 hands | 278,256 | 465 | 30 |
Every hand is scored by the same evaluator that settles showdowns at FizzPoker tables: best five of seven cards, kickers compared rank by rank, identical hands split. The work runs in small slices between screen refreshes, so the page stays responsive even with nine players and a random hand in the mix.
More players, less equity
A hand’s equity depends as much on how many opponents it faces as on the cards themselves. Pocket aces have 85.4% equity against one random hand, 63.7% against three and 34.4% against eight — still about 3.1 times an equal share of a nine-way pot.
Small pairs fall fastest. Deuces are a slight favourite heads-up (50.6%) because a pair beats most unpaired hands, but they rarely improve, so from two opponents on they track the equal-share line. In the table below, seven-six suited overtakes them from 2 opponents on (31.9% to 30.6%): suited, connected cards make the straights and flushes that win big multiway pots.
| Hand | vs 1 | vs 2 | vs 3 | vs 5 | vs 8 |
|---|---|---|---|---|---|
| AA | 85.4% | 73.4% | 63.7% | 49.2% | 34.4% |
| KK | 82.3% | 69.1% | 58.2% | 43.1% | 29.1% |
| 80.0% | 64.8% | 53.4% | 37.6% | 24.8% | |
| AKs | 67.1% | 51.0% | 41.4% | 31.4% | 22.6% |
| AKo | 65.2% | 48.1% | 38.4% | 27.7% | 19.3% |
| JTs | 57.1% | 42.0% | 33.9% | 25.0% | 18.1% |
| 76s | 45.3% | 31.9% | 25.1% | 17.9% | 13.3% |
| 22 | 50.6% | 30.6% | 22.0% | 15.5% | 12.3% |
| 72o | 34.4% | 20.6% | 14.3% | 8.7% | 5.2% |
The chart also explains why a hand that feels strong at a full table often isn’t: against five opponents, ace-king suited has 31.4% equity. For every starting hand at every table size, see the starting hands chart.
Which poker hand wins?
At showdown each player makes the best five-card hand from their two hole cards and the five board cards — using both, one or neither of their own cards. The higher category wins: straight flush, four of a kind, full house, flush, straight, three of a kind, two pair, one pair, high card. Inside a category the higher ranks win, then the kickers, card by card. Suits never break a tie; identical five-card hands split the pot.
The calculator names every player’s current hand as soon as the flop is down, and once all five board cards are out it simply tells you who wins and who splits. For the full ranking with examples, see poker hand rankings; to check how many hands beat yours on a given board, use the hand analyzer.
From the calculator to the table
Knowing that a flush draw is a near coin flip is one thing; betting it well with chips in front of you is another. FizzPoker deals free No-Limit Hold’em for 2–9 players in the browser, with bots from easy to hard — one without an account, more with a free one. There’s no advice during a hand — after the game, each decision you made gets an advisory review in the Fizz Score, so you can see where the odds and your choices parted ways.
To test a hand against everything an opponent might hold rather than one exact hand, use the equity calculator with ranges.
Questions people ask
How do you calculate poker odds?
Deal out every way the remaining board cards can come, score each player’s best five-card hand on each run-out, and count how often each hand wins or ties. With two hands on the flop that is 990 turn-and-river combinations; before the flop there are 1,712,304 boards, so calculators usually sample a large random set instead.
What is the difference between win percentage and equity?
Win percentage counts only the run-outs a hand wins outright. Equity is its average share of the pot: outright wins count in full and split pots count as a share. Equities of all players always add up to 100%; win percentages do not, because ties belong to nobody outright.
How accurate is this poker odds calculator?
On the flop and turn with every hand face up it is exact: every possible run-out is dealt and scored. Preflop, or when a player holds a random hand, it deals 60,000 random boards, which puts every equity within about ±0.4% of the true value 95% of the time.
Which poker hand wins at showdown?
Each player makes the best five-card hand from their two hole cards and the five board cards. The higher category wins (a flush beats a straight, a full house beats a flush); within a category the higher ranks and then kickers decide, and identical five-card hands split the pot.
Can I calculate odds for more than two players?
Yes. Add up to nine players, pick each hand or mark it as a random hand, and the calculator shows every player’s win, tie and equity at once. Equity drops quickly as players join: pocket aces have 85.4% equity against one random hand but 34.4% against eight.
Where can I practice poker odds for free?
FizzPoker deals free No-Limit Hold’em tables in the browser for 2–9 players, with no download and no real money. One bot needs no account; a free account adds more bots and a review of every decision after the game.