All-in before the flop with ace-king against queens — who is the favorite, and by how much? This calculator answers questions like that for Texas Hold’em. Choose the hole cards for two to nine players, add the flop, turn and river if they are out, and it reports each hand’s chance to win, to tie and its overall equity. On later streets with known hands it checks every remaining card exactly; otherwise it runs a fast simulation of random deals in your browser.
How to use the poker odds calculator
- Click a card slot for Player 1, then pick a card from the grid. The next empty slot is selected automatically.
- Fill in the other players’ cards, or leave them blank to give that player a random hand. Use Add player for up to nine.
- Optionally fill in the flop (all three cards), then the turn and river.
- The odds update automatically. Choose more simulated deals for extra precision, or press Calculate odds to rerun.
- Click a filled slot twice to clear it. Clear all cards starts over.
How equity is calculated
For each possible (or simulated) completion of the board, every player’s best five-card hand from seven cards is ranked, and the pot goes to the best hand or is split between tied hands:
A two-way tie counts as half a win for each player, a three-way tie a third, and so on.
Exact enumeration
When all hole cards are known and at most a few thousand boards remain, every board is checked. Heads-up on the flop that is 990 turn-and-river combinations; on the turn, 44 rivers.
Monte Carlo simulation
Preflop there are 1,712,304 boards for a heads-up hand, and random opponents multiply the possibilities further, so the calculator deals random boards and hands instead. The error shrinks with the square root of the number of deals:
At N = 100,000 that is about ±0.3 percentage points. The work runs in short slices so the page stays responsive.
Worked example: ace-king vs. queens
Preflop: A♠K♠ against Q♥Q♦. Checking all 1,712,304 boards gives the ace-king 46.2% equity and the queens 53.8% — a near coin flip, with ties in 0.4% of boards.
Flop 2♣ 7♦ 9♥: the ace-king missed and now needs an ace or king (6 outs) on the turn or river. All 990 remaining boards give it 23.9%.
Turn 10♠: one card to come, still 6 outs among 44 unseen cards: 6 ÷ 44 = 13.6%.
Common preflop matchups
Exact heads-up equities, all-in before the flop:
| Matchup | Equity | Equity |
|---|---|---|
| A♥A♦ vs K♣K♦ | 82.0% | 18.0% |
| A♠K♠ vs Q♥Q♦ | 46.2% | 53.8% |
| Q♠Q♥ vs A♣K♦ | 57.2% | 42.8% |
| J♠J♥ vs A♣Q♦ | 57.3% | 42.7% |
| 8♠8♥ vs A♣K♦ | 55.6% | 44.4% |
| A♣K♦ vs 2♠2♥ | 47.0% | 53.0% |
| A♥K♥ vs J♣10♣ | 61.3% | 38.7% |
| A♦K♣ vs A♥Q♠ | 74.0% | 26.0% |
| 7♠6♠ vs A♥A♦ | 23.0% | 77.0% |
A pocket pair against two higher cards is a small favorite (the “coin flip”); a dominated hand such as ace-queen against ace-king wins only about a quarter of the time.
Turning equity into decisions
Equity matters when you compare it with the price of a call. If the pot is $100 and you must call $50, you are paying $50 to win $150, so you need 50 ÷ 150 = 33.3% equity to break even. With more equity the call makes money in the long run. The expected value calculator does that arithmetic for any bet.
Equity is a snapshot: it ignores future betting, folds and bluffs. Use it to understand matchups, not as a full strategy.
Learn the hand order on the poker hand rankings page, then practice against the computer in Texas Hold’em. The odds calculator converts percentages to odds formats such as 3 to 1.
Frequently asked questions
What is poker equity?
Equity is the share of the pot a hand wins on average if all the remaining cards are dealt with no more betting. It equals the win percentage plus a split share of ties: a hand that wins 46% of the time and ties 0.4% has about 46.2% equity heads-up.
How accurate is the calculator?
When every hole card is known and the flop is out, the calculator checks every possible turn and river, so the result is exact. Preflop, or with random hands, it simulates random deals; 100,000 deals give equity within about ±0.3 percentage points 95% of the time.
What are the odds for AA vs KK?
Pocket aces beat pocket kings about 82% of the time all-in before the flop: 81.95% equity for the aces and 18.05% for the kings, counting split pots, across all 1,712,304 possible boards.
Can I leave an opponent's cards blank?
Yes. Blank hole cards are dealt at random on every simulated hand, which gives your equity against an unknown hand. You can also enter just one card for a player if you know part of their hand.
How does the rule of 2 and 4 compare?
Multiplying your outs by 4 on the flop, or by 2 on the turn, estimates the chance of hitting by the river. With 6 outs on the flop the rule says 24%; the true chance of hitting one of them by the river is 25.2%. On the turn it says 12%, versus an exact 6 ÷ 44 = 13.6%.