Poker Odds & Equity Calculator
Free Texas Hold'em and 3 card Hold'em (Pineapple) odds calculator · 2–6 hands · 80,000-trial Monte Carlo
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Set 2 cards for each player and click Calculate
Up to 6 players supported
How to use this poker odds calculator
Everything below is here to help you actually use the equity numbers above, not just look at them. Skip ahead with the table of contents or read straight through if you're new to poker math.
What is poker equity?
Poker equity is your share of the pot if the hand were played to showdown right now, repeated millions of times. If your hand wins 65% of the time against your opponent's hand on a given board, you have 65% equity in that pot. It's not a guess: it's a precise mathematical probability you can calculate.
Two important things equity is NOT:
- • Equity isn't a prediction. Saying you have 65% equity doesn't mean you'll win this specific hand. It means across all possible card combinations, your hand wins 65 times out of 100.
- • Equity isn't the same as odds-to-call. Pot odds are about price (what you have to pay to stay in). Equity is about your hand strength. You compare them to decide whether a call is profitable. See our pot odds article.
How to use this calculator
- 1. Pick a variant: Texas Hold'em (2 hole cards) or 3-Card Hold'em / Pineapple (3 hole cards). Toggle at the top of the calculator.
- 2. Add hole cards for each player by clicking cells in the card grid. The active player highlights. Click a different player's card to switch.
- 3. Optionally add board cards: flop, turn, river. If you don't add any, the simulator runs all 5 community cards randomly.
- 4. Click Calculate: the Monte Carlo engine runs 80,000 simulated hands in your browser using a Web Worker (UI never freezes). Results appear in 1-3 seconds.
- 5. Read equity per player: exact percentage chance to win, plus tie/chop frequency.
How the Monte Carlo engine works
We use a 7-card bit-mask hand evaluator combined with Monte Carlo simulation. Each iteration:
- 1. Take the cards you specified (hole + any board you locked in)
- 2. Shuffle the remaining deck
- 3. Deal random cards to fill the rest of the board
- 4. Score each player's best 5-card hand from their 2-3 hole + 5 board
- 5. Record win/tie
80,000 iterations gives results accurate to within ~0.3% of the true mathematical equity. That's well within decision-quality margins. Compare to PokerStove, Equilab, or PropokerTools: same math, just browser-based with no install.
Playing Omaha?
The toggle above handles a quick Omaha check, but the dedicated pages are built for it, with the exactly-two-hole-cards rule enforced and a guide to why Omaha equities run so much closer than Hold'em: 4-card PLO, 5-card PLO, 6-card PLO and Big O hi-lo.
3-Card Hold'em / Pineapple equity
Switching the variant toggle to 3-Card Hold'em / Pineapple changes how each player's hand is evaluated. Instead of 2 hole cards + 5 board, you now have 3 hole cards + 5 board. The evaluator picks the best 5-card hand from 8 cards total (3 hole + 5 board), same as the "Lazy Pineapple" / "Tahoe" / "Open-Faced Pineapple" format on most poker training tools.
Why equities differ from regular Hold'em:
- → Pocket aces (AA) drop from ~85% to ~76% vs random: premium pairs lose dominance because more hands can outdraw them with a third card.
- → Suited connected cards (e.g. 9♠T♠J♠) gain massively: flush + straight + three-of-a-kind potential in one hand.
- → Flushes occur ~3x more often: 3 suited hole cards vs 2.
Read the full breakdown in our What is 3-Card Hold'em (Pineapple Poker)? guide. It covers all variants (Classic, Crazy, Lazy, Tahoe, Open-Faced) and starting hand strategy.
Common all-in matchups (Texas Hold'em)
The classic preflop matchups. Equity is for the first hand listed, and these particular figures are exact, not sampled: each one comes from enumerating all 1,712,304 possible boards for every suit layout of the matchup and scoring both hands with the same evaluator the calculator above uses. The calculator samples because it has to answer any board you type; all 12 rows below were computed once and never need re-sampling.
| Matchup | Equity | Notes |
|---|---|---|
| AA vs KK | 82.0% | The cooler. Neither player can get away from it, and neither should try. |
| AA vs AKs | 87.9% | AK is dominated and its outs are blocked by the aces. |
| AA vs 72o | 88.2% | The best starting hand against the worst. Still not a lock. |
| AK vs AQ | 73.6% | A dominated kicker, and by far the highest tie rate on this table. |
| AKs vs KK | 34.1% | AK against the pair holding two of the cards it wants. |
| AKs vs QQ | 46.0% | The classic race: two overcards against the pair, suited. |
| AKo vs QQ | 43.2% | The same race offsuit. The difference is what the suit is worth. |
| AK vs JJ | 43.9% | Two overcards against a pair, averaged over every suit layout. |
| AKs vs TT | 45.9% | The race most often called a coinflip. The pair is still ahead. |
| AK vs 99 | 45.4% | Lower the pair and the overcards gain, because AK's straight outs open up. |
| 22 vs AKs | 50.1% | The closest matchup here to an actual coinflip. |
| KK vs QQ | 81.9% | One rank down from AA vs KK, and almost exactly as lopsided. |
Worth memorising: they come up constantly in tournament push/fold decisions and cash game all-ins. Every row links to its own page, where the matchup is broken down to the exact equity of each individual suit configuration; the full set is at our hand vs hand matchup pages, and how the numbers were produced is documented at data and methods. For deeper analysis on specific hands, see our 169-hand preflop strategy library with per-hand equity breakdowns.
Use this tool as a "Which Hand Wins" calculator
Beyond computing equity percentages, this calculator works as a definitive "which hand wins?" tool. The trick: enter BOTH players' complete hole cards AND a complete 5-card board. With no unknowns left, the calculator returns 100% / 0%: that's your declared winner.
When to use this:
- → Settling table disputes: "does my flush actually beat his straight?" Plug both hands + board, see the winner instantly.
- → Reviewing a hand history after the session: verify which hand actually won at showdown.
- → Edge cases: split pots, kicker tie-breakers, the Ace-low straight. The calculator handles all of them correctly per standard Hold'em rules.
Most "which hand wins" questions can be answered just by knowing the poker hand rankings and tie-breaker rules. But for ambiguous spots (two flushes with similar high cards, two pair with identical pairs but different kickers, the wheel straight), the calculator removes all doubt.
Common "which hand wins" resolutions:
- ✓ Flush vs straight: flush always wins (rarer hand category).
- ✓ Higher flush vs lower flush: highest card decides. K-high flush beats Q-high flush regardless of suit.
- ✓ Two pair vs two pair: higher of the two pairs wins. KK-77 beats QQ-JJ. If higher pairs tie, lower pair decides. If both tie, kicker decides.
- ✓ Same pair, different kickers: compare kickers in order. AA with K kicker beats AA with Q kicker.
- ✓ Both make straight on board: often a chop: both players play the board if neither has hole cards extending the straight further.
Using equity in real poker decisions
Equity by itself doesn't tell you what to do. You combine it with pot odds, position, opponent tendencies, and stack depth. Three frameworks:
1. The pot odds vs equity rule
Call if your equity ≥ pot odds. Pot odds are simply (bet to call) ÷ (final pot if you call). A $10 call into a $40 final pot = 25% pot odds, meaning you need at least 25% equity to break even. Use our pot odds calculator for quick math.
2. Implied odds for draws
When you have a flush draw or straight draw, your raw equity is ~35%. But when you HIT, you usually win extra bets on the turn or river. Add 5-10% effective equity for implied odds in deep-stacked spots.
3. Range vs range, not hand vs hand
You rarely know your opponent's exact hand. Calculate equity against their RANGE (the set of hands they could have). Our range vs range calculator handles this: you click ranges on a 13×13 grid and get equity vs range, not just hand vs hand.
Frequently asked questions
Is this odds calculator free?
Yes, completely free. No signup, no download, no daily limit, no trial period. Runs entirely in your browser using a Web Worker so the UI never freezes.
How accurate is it?
Within ~0.3% of true equity for typical scenarios. The 80,000-iteration Monte Carlo gives more than enough precision for any real-world poker decision. We use the same 7-card bit-mask hand evaluator that PokerStove and Equilab use.
Can I use this for 3-card Hold'em / Pineapple?
Yes. Toggle the variant at the top of the calculator. Each player gets 3 hole cards instead of 2, and the evaluator picks the best 5-card hand from 8 cards (3 hole + 5 board). Compatible with Lazy Pineapple, Tahoe, and Open-Faced Pineapple formats.
Where do I calculate Omaha equity?
Use the PLO equity calculator, which is built for 4, 5 and 6-card Omaha and enforces the exactly-two-hole-cards rule. This page has a quick Omaha toggle, but the PLO calculator is the one to use for Omaha study.
What's the difference between equity and odds?
Equity = your share of the pot expressed as %. Odds = the price you're paying to call expressed as ratio (e.g. 3:1 against). They both describe the same math from different angles. Equity is more useful at the table because it directly tells you your % chance to win.
Why does my equity say 50% in a coinflip?
Plenty of heads-up matchups sit near 50/50, but almost none land on it. AKs against 22 is 49.9% for the AK: close enough to call a coinflip, and still not one. AKs against TT is 45.9% and AKo against JJ is 43.1%. What people sometimes miscall a flip is AK against a bigger pair: AKs against KK is only 34.1%. "Coinflip" in practice means anything between roughly 45% and 55%; these are exact figures from enumerating every possible board, not estimates.
Can I save my calculations?
Not currently in the free tool. PRO members get history saving and shared scenario URLs. For now you can screenshot results.
Is this calculator a real-time assistant (RTA)?
No, and you should NOT use it during a live hand. RTAs violate every major poker site's terms of service and result in account bans. Use this between sessions to study spots, not while you're actively playing.
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Related tools and articles
Compare equity vs pot odds for instant call/fold decisions.
Equity against ranges, not just specific hands.
Static probability tables and rule-of-2-and-4 reference.
Rules, equity differences, and starting hand strategy.
Looking for a complete poker math walkthrough? Start with our free 15-minute Poker 101 course, which covers equity, pot odds, position, and starting hand selection.
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