Poker Odds Calculator
Equity calculator, ICM & pot odds in one place
Enter two hands and see who wins — then check pot odds, outs, ICM deals, SPR, tournament M and push/fold ranges. Nine free Hold'em calculators, with exact enumeration on every street where it is fast enough.
Equity
Hand vs hand
Your hand
0 / 2
🎲
Give every hand 2 cards (or mark an opponent as a random hand).
Leave the board empty for preflop, or give it 3 (flop), 4 (turn) or 5 (river) cards.
ICM guide
How to use the ICM calculator — a 3-minute bubble example
Say four players remain and three get paid (the bubble). Stacks are 60,000 / 40,000 / 30,000 / 20,000 and the prizes are $500 / $300 / $200. Enter those into the calculator and you get each player's chip share versus their real prize value (ICM):
| Player | Chip % | ICM % | Diff |
|---|---|---|---|
| 🥇 Chip leader | 40.0% | 33.3% | -6.7pts |
| 🥈 2nd | 26.7% | 27.2% | +0.6pts |
| 🥉 3rd | 20.0% | 22.9% | +2.9pts |
| 4th (short stack) | 13.3% | 16.6% | +3.3pts |
The table shows the chip leader's ICM value (33.3%) is lower than their chip share (40%) by 6.7 percentage points; this is not a call/fold threshold. Medium stacks often face the greatest risk premium, so a covering leader can pressure medium stacks when their ranges allow it. Short stacks should choose calls carefully, with an exception for stacks about to be blinded out. Decisions depend on stacks, payouts and opponents, not the sign of the difference alone.
ICM chop calculator
ICM chop calculator — what a final-table deal is actually worth
Four players are left and talking about a deal. Stacks are 450,000 / 250,000 / 180,000 / 120,000 (45% / 25% / 18% / 12%) and $2,300 of prize money remains, paid $1,000 / $600 / $400 / $300. Enter those into the ICM calculator above and its Chip chop column puts the two numbers side by side:
| Player | Chip chop | ICM deal | Diff |
|---|---|---|---|
| 🥇 Chip leader (45%) | $1,035 | $726 | -$309 |
| 🥈 2nd (25%) | $575 | $591 | +$16 |
| 🥉 3rd (18%) | $414 | $526 | +$112 |
| 4th (12%) | $276 | $458 | +$182 |
A raw chip chop splits by chip share and favors the chip leader; an ICM deal reflects each player's chance of finishing in each place and is fairer to short stacks. Here the shortest stack gets $276 by chips but $458 by ICM — $182 more. Run both numbers before you talk. What a room calls a chip chop is often a save-and-chop — everyone is paid the next payout first and only the remainder is split by chips — which lands near ICM, not the raw split this column shows. And ICM assumes equal skill and ignores who posts the next blinds, so expect the big stack to negotiate above its ICM figure.
The model behind these numbers, with bubble factor and deal etiquette, is in What Is ICM in Poker?
Tools
How to use the 9 Hold'em calculators
Equity calculator (hand vs hand)
Enter 2–4 hands and any board to get each hand's win %, tie % and equity. With every hand known, the flop and turn are enumerated exactly; preflop, or with a random-hand opponent, it samples 60,000 runouts and says so.
Outs calculator
Precisely calculates the chance your draw completes on the flop or turn. See both the Rule of 4 and 2 shortcut and the exact figure at once.
Pot odds & implied odds
Decide whether to call or fold with math; the implied odds toggle adds the money you expect to win on later streets.
Hand evaluator
Pick cards to check the hand rank. Enter up to 7 cards and it finds the best 5-card combination automatically.
Starting hand strength
Pick your two hole cards to see which of the 169 hands it is and the recommended action by position.
SPR (Stack-to-Pot Ratio)
The stack-to-pot ratio tells you how strong a hand you need. The lower the SPR, the more it favors committing with a strong hand.
Tournament M value
Harrington's M measures the pressure on your tournament stack. Your strategy shifts completely across the green/yellow/orange/red/dead zones.
ICM calculator
The Independent Chip Model converts tournament chips into real prize-money value, with a chip chop column beside it — the numbers behind bubble decisions and final-table deal talks.
Nash push/fold chart
A 13×13 Nash chart for heads-up, 6-max and 9-max: which hands to open-shove at 1–25bb (and, heads-up, which to call with). A must-have for late-stage tournaments.
Quick reference
Equity calculator reference — preflop all-in matchups
Equity when two hands go all-in preflop, averaged over every suit combination of the matchup (precomputed offline: all 1,712,304 boards for each one). A specific suit combination can differ by more than two points (A♠K♠ vs Q♠J♠: 66.0%) — enter the exact cards in the equity calculator above.
| Matchup | Hand A | Hand B | Tie |
|---|---|---|---|
| AA vs KK | 81.9% | 18.1% | 0.5% |
| AA vs AKs | 87.9% | 12.1% | 1.3% |
| AA vs 87s | 77.5% | 22.5% | 0.3% |
| AA vs 72o | 88.2% | 11.8% | 0.4% |
| KK vs AKs | 65.9% | 34.1% | 0.8% |
| QQ vs AKo | 56.8% | 43.2% | 0.4% |
| QQ vs AKs | 54.0% | 46.0% | 0.4% |
| JJ vs TT | 82.0% | 18.0% | 0.4% |
| TT vs A9o | 72.2% | 27.8% | 0.4% |
| TT vs 87s | 80.3% | 19.7% | 0.5% |
| 22 vs AKo | 52.6% | 47.4% | 0.6% |
| AKo vs AQo | 74.4% | 25.6% | 4.7% |
| AKs vs QJs | 63.5% | 36.5% | 0.5% |
| AKo vs JTs | 59.5% | 40.5% | 0.5% |
Equity is your average share of the pot, counting ties (chops). A pair against two overcards is the classic race; a pair against a higher pair is about a 4.5 to 1 underdog. The full odds chart, street by street, is in Poker Odds & Probability Chart.
Quick reference
Pocket aces vs random hands — by number of opponents
How often AA wins when everyone is all-in preflop against N random hands (Monte Carlo, 8,000,000 runouts per row). The first two callers cost the aces about 10 points each; after that each one costs less.
| Opponents | AA equity |
|---|---|
| 1 | 85.2% |
| 2 | 73.4% |
| 3 | 63.8% |
| 4 | 55.9% |
| 5 | 49.2% |
| 6 | 43.6% |
| 7 | 38.7% |
| 8 | 34.6% |
That is why aces want a heads-up pot: against five random hands the best starting hand in Hold'em is no longer a favorite to win the pot (49.2%, with the other five sharing the rest). Set an opponent to “Random hand” in the equity calculator to test any hand the same way (it takes up to three opponents). Why big hands shrink in multiway pots is in Poker Equity Explained.
Quick reference
Outs calculator reference — draw odds by number of outs
Chance your draw completes: flop → river (two cards to come), flop → turn (the next card only) and turn → river (one card) — exact, next to the Rule of 4 and 2 estimate. Count outs first, then read across.
| Outs | Typical draw | Flop → river | Flop → turn | Turn → river | Rule of 4 · 2 |
|---|---|---|---|---|---|
| 1 | – | 4.3% | 2.1% | 2.2% | 4% · 2% |
| 2 | Pocket pair → set | 8.4% | 4.3% | 4.3% | 8% · 4% |
| 3 | One overcard | 12.5% | 6.4% | 6.5% | 12% · 6% |
| 4 | Gutshot straight | 16.5% | 8.5% | 8.7% | 16% · 8% |
| 5 | Pair → two pair or trips | 20.4% | 10.6% | 10.9% | 20% · 10% |
| 6 | Two overcards | 24.1% | 12.8% | 13.0% | 24% · 12% |
| 7 | – | 27.8% | 14.9% | 15.2% | 28% · 14% |
| 8 | Open-ended straight | 31.5% | 17.0% | 17.4% | 32% · 16% |
| 9 | Flush draw | 35.0% | 19.1% | 19.6% | 36% · 18% |
| 10 | Gutshot + two overcards | 38.4% | 21.3% | 21.7% | 40% · 20% |
| 11 | Open-ended + one overcard | 41.7% | 23.4% | 23.9% | 44% · 22% |
| 12 | Flush draw + gutshot | 45.0% | 25.5% | 26.1% | 48% · 24% |
| 13 | – | 48.1% | 27.7% | 28.3% | 52% · 26% |
| 14 | Open-ended + two overcards | 51.2% | 29.8% | 30.4% | 56% · 28% |
| 15 | Flush draw + open-ended | 54.1% | 31.9% | 32.6% | 60% · 30% |
| 16 | – | 57.0% | 34.0% | 34.8% | 64% · 32% |
| 17 | – | 59.8% | 36.2% | 37.0% | 68% · 34% |
| 18 | – | 62.4% | 38.3% | 39.1% | 72% · 36% |
| 19 | – | 65.0% | 40.4% | 41.3% | 76% · 38% |
| 20 | – | 67.5% | 42.6% | 43.5% | 80% · 40% |
The two-card figure only applies when you will see both cards without paying again (an all-in). Facing one bet on the flop, use the flop-to-turn column: 9 outs = 19.1%. Overcards are the least reliable outs — against a made hand, pairing one often still loses, so discount them. How to count outs without double-counting is in How to Count Outs.
Quick reference
Pot odds calculator reference — equity you need to call
Facing a bet of this size into the pot, this is the minimum equity a call needs to break even: call ÷ (pot after the bet + call). It is shown both ways — as odds and as the equity they require; the calculator reports the equity form. Compare it with your draw's exact odds in the outs table above.
| Bet size | Odds (X : 1) | Equity needed |
|---|---|---|
| ¼ pot | 5 : 1 | 16.7% |
| ⅓ pot | 4 : 1 | 20.0% |
| ½ pot | 3 : 1 | 25.0% |
| ⅔ pot | 2.5 : 1 | 28.6% |
| ¾ pot | 2.33 : 1 | 30.0% |
| Pot | 2 : 1 | 33.3% |
| 1.5× pot | 1.67 : 1 | 37.5% |
| 2× pot | 1.5 : 1 | 40.0% |
| 3× pot | 1.33 : 1 | 42.9% |
A flush draw (35.0% with two cards to come, 19.1% on the next card) calls a pot-sized bet on the flop only when it is all-in. Otherwise the implied odds calculator — the toggle in the pot odds tab — adds the money you expect to win later, provided your opponent has chips behind and a hand that will pay; discount it heavily when you are not drawing to the nuts. The 10-second method for any spot is in How to Calculate Pot Odds.
Quick reference
SPR calculator reference — how strong a hand you need
SPR is effective stack ÷ current pot, where the effective stack is the shorter of the two stacks — all either player can win or lose. The lower it is, the more of that stack is already committed and the weaker the hand you can stack off with; the higher it is, the closer to the nuts you need to be for a big pot. Read the zones as flop planning: on a wet or paired board, one pair is still one pair.
| SPR | Zone | Hand strength · action |
|---|---|---|
| SPR < 4 | Committed | Top pair top kicker or better on a dry flop: plan to get it in — at this depth folding is often the bigger mistake |
| 4 ≤ SPR < 8 | Flexible | Two pair or better for value; one pair takes one or two streets, then pot control |
| 8 ≤ SPR < 15 | Getting deep | Sets and better play for stacks; draws gain implied odds |
| SPR ≥ 15 | Deep | Big pots only with nut-class hands — weak made hands are bluff targets |
The SPR calculator above turns any stack and pot into one of these four zones. For ranges by stack depth see Short Stack & Push/Fold Strategy.
Quick reference
M value calculator — the five tournament zones
M is your stack ÷ one orbit's cost (small blind + big blind + all antes): how many laps you can survive without playing a hand. The zones assume a full nine- or ten-handed table; short-handed, multiply M by (players ÷ 10) first — Harrington's Effective M — so an M of 10 at a six-handed final table plays like a 6 (the calculator above shows raw M; make that conversion yourself).
| Zone | M | Strategy |
|---|---|---|
| 💀 Dead zone | < 1 | Fold equity is gone — shove the best live hand you see before the blinds reach you, preferably first in |
| 🔴 Red zone | 1–5 | Push/fold: shove your good hands, fold the rest, double up soon |
| 🟠 Orange zone | 6–9 | Tighten to strong hands and look to open-shove |
| 🟡 Yellow zone | 10–19 | Pressure is on — gather chips aggressively in good spots |
| 🟢 Green zone | 20+ | Comfortable stack — full strategy, position play and bluffs |
Why tournament stacks are measured in orbits and blinds rather than chips is in Tournament vs Cash Game.
FAQ
ICM calculator & Hold'em calculator FAQ
Q. How does a poker odds calculator work?+
It deals out every card still to come and counts how often each hand wins. With every hand known, this calculator enumerates every possible runout on the flop and turn exactly (990 on the flop heads-up, 44 on the turn; fewer with more players, and the river is already complete). Preflop there are 1.7 million boards per matchup, and a random-hand opponent multiplies that again, so in those spots it samples 60,000 random runouts instead and says so under the result — the figure moves by about 0.3 points between runs.
Q. What are the odds of AA vs KK?+
Pocket aces win about 82% of the time against pocket kings preflop (81.9% averaged over every suit combination, with a 0.5% chance of a tie). AA against AK suited is about 88% to 12%, and KK against AK suited about 66% to 34%.
Q. Is AK vs a pocket pair a coin flip?+
Close to one against every pair below aces and kings, though never quite 50/50. Offsuit AK has about 46–47% equity against 22–44, about 45% against 55–99 and about 43% against TT–QQ; suited AK adds roughly 2.5–3 points. Against KK it drops to about 30% and against AA to about 7%, so the label only fits the pairs the ace and king are both above.
Q. What is the 4 and 2 rule in poker?+
A mental shortcut for draw odds: with two cards to come (flop to river) multiply your outs by 4; with one card to come (turn to river) multiply by 2. For 9 outs that gives 36% and 18%; the exact figures are in the next answer. The times-4 half stays within about a point up to 9 outs and drifts roughly a point per out after that (15 outs is really 54.1%, not 60%); the times-2 half runs low, and more so the more outs you have (1.6 points at 9 outs, 2.6 at 15). And times 4 only applies when you will see both cards without paying again.
Q. How often does a flush draw hit?+
With 9 outs a flush draw completes 35.0% of the time from the flop to the river (two cards to come), 19.1% on the next card from the flop, and 19.6% from the turn to the river.
Q. How do you calculate pot odds?+
Call amount ÷ (pot after the bet + call amount) = the minimum equity you need. For example, a 3,000 call when the pot already holds 10,000 including the bet is 3,000 ÷ 13,000 ≈ 23.1%, so calling is profitable when your equity is above 23.1%. A full-pot bet always requires 33.3%; a half-pot bet 25%.
Q. What pot odds do I need to call with a flush draw?+
Facing a single bet on the flop, count only the next card: 9 outs hit 19.1% of the time, so you need pot odds better than about 4.2 to 1 — or implied odds that make up the difference, which requires your opponent to have chips behind and a hand that will pay. Discount that heavily when you are not drawing to the nuts: a second-best flush that gets paid loses far more than it wins. If you are guaranteed to see both cards (an all-in), the 35.0% two-card figure applies instead.
Q. How do I use the implied odds calculator?+
Open the pot odds tab and switch on “Implied odds”, then enter the extra amount you expect to win on later streets when you hit. The calculator adds it to the pot and lowers the equity your call needs right now. Keep the extra amount honest: it only counts if your opponent has that much behind and will actually pay when your draw comes in.
Q. How do I check which poker hand wins?+
In the equity calculator, enter both hole cards and all five board cards: with a complete board it names the winner and the winning hand, or reports a chop. To grade a single hand, drop 5–7 cards into the hand evaluator and it finds the best five-card combination automatically.
Q. How do I use the ICM calculator?+
Enter the remaining players, positive stacks and payouts from highest to lowest (equal prizes are allowed). For a call/fold decision, calculate your value after each possible outcome — win, tie or loss — multiply each by its actual probability, and add them. Compare that weighted value with your value after folding, using the resulting stacks and remaining prizes in each scenario. If you bust, use the prize you actually receive, which may be zero on the bubble. This stack calculator does not supply the hand-outcome probabilities.
Q. What does the “ICM value” in this calculator mean?+
The prize money your stack is expected to collect under ICM, given the stacks and payouts. It is a model value, not a guaranteed payment. With multiple paid places, chips generally have diminishing marginal prize value, so doubling your chips need not double your ICM value. The exact relationship depends on the payout structure and all remaining stacks.
Q. When should you use the ICM calculator?+
Whenever the payouts are fixed by finishing position and the money is close: on the bubble, at a final table, when a deal is proposed, and in satellites where every seat pays the same. It does not apply to cash games, where a chip is always worth its face value.
Q. Is ICM the same as chip EV?+
No. Chip EV counts chips; ICM counts expected prize money. A call can gain chips in expectation yet lose prize value, because losing removes your chance at higher payouts while doubling up does not usually double your prize value. Busting still pays any prize already secured. ICM often tightens all-in calling ranges, but the effect depends on stacks and payouts rather than applying to every action equally.
Q. I'm the chip leader — why is my ICM value lower than my chip share?+
First place pays only its listed prize, not the whole pool, while smaller stacks still have a chance to collect the other prizes. In the bubble example above the leader holds 40% of the chips but 33.3% of the prize value, and the shortest stack's prize share is higher than its chip share. The difference describes that payout distribution; it is not itself a measure of a particular call's risk premium.
Q. How do I calculate an ICM (final-table) deal?+
Enter the current stacks and the remaining prizes; each player's “ICM value” is the baseline deal amount. In practice the table usually leaves an agreed sum — often the gap between first and second — in the middle to play for, and the floor stops the clock and confirms that every remaining player agrees before anything is paid.
Q. What's the difference between a chip chop and an ICM deal?+
A chip chop pays by chip share, an ICM deal by each player's chance of finishing in each place — the worked example above shows the gap ($276 vs $458 for the shortest stack). Which one a room means by chip chop varies: many pay everyone the next payout first and split only the remainder, which lands near ICM, so ask before you agree to either.
Q. Why should I fold more on the bubble?+
A chip-profitable call can lose prize value when elimination costs more than a double-up gains. Medium stacks often face the largest risk premium, especially when covered and smaller stacks can bust first. An extremely short stack about to be blinded out has less survival value to protect. Do not fold or shove by stack label alone: compare the actual ranges, coverage, payouts and probabilities. A covering stack can sometimes exploit tighter calling ranges, but wider aggression is not automatic.
Go deeper
Guides to read once the math clicks
What Is ICM in Poker?
Chip EV vs prize EV, bubble factor, deals
Poker Equity Explained
Win %, fold equity, and realization
How to Calculate Pot Odds
Turn call/fold spots into math
How to Count Outs
Outs by draw and the 4 and 2 rule
Poker Odds & Probability Chart
The full odds chart behind every hand
Starting Hands Chart
Which hands to play by position
Short Stack & Push/Fold
How to use a push/fold chart and its limits
Implied Odds Explained
When a bad price is still a good call