Poker odds calculator

Before the flop, aces win against kings about 82.6% of the time and AK against queens is close to a coin flip. With a flush draw on the flop (9 outs) you hit by the river 35.0% of the time. Enter any hands and board below.

Checked 2026-11-07. Source: simulation and formulas below.

Tap a card to choose it, or deal a random one. Leave a player's cards empty for a random hand. The chance to win counts a tie as a share of the pot.

Board
  1. Player 1
    42.9%chance to win
  2. Player 2
    57.1%chance to win

Type the cards instead
PlayerHandChance to win (equity)WinTie
Player 1A♠ K♥42.88%42.69%0.37%
Player 2Q♦ Q♣57.12%56.94%0.37%

Simulated over 30,000 random deals; results move by a few tenths of a percent between runs.

18+ (19+ in most of Canada, 21+ in most US states). Play only on sites licensed where you live: Ontario · Alberta. Help: where to get help.

How the calculator works

Each hand is scored as the best five cards out of seven. With every hand known and three or more board cards dealt, it counts every possible run-out exactly. Before the flop, or with a random opponent, it deals 30,000 random run-outs.

equity = (wins + ties ÷ players tied) ÷ deals

Omaha odds

In Omaha (pot-limit Omaha, PLO) each player gets four hole cards and must use exactly two of them with exactly three board cards. Four hearts on the board do not give you a flush with one heart in hand, which is the most common Omaha misread. The calculator checks all 60 two-plus-three combinations for each hand.

Example, counted exactly over every turn and river: A♠A♥K♠Q♠ against J♦T♦9♣8♣ on 7♥6♥2♣. The aces lead now but have only 42.6%; the wrap draw, with many turn and river cards that complete a straight using two hole cards, has 57.4%. Equities run much closer in Omaha than in Texas Holdem, because every hand has more ways to improve.

Pre-flop matchups

MatchupHand 1EquityHand 2Equity
Aces vs kingsAs Ah82.6%Ks Kh17.4%
AK vs queens (coin flip)As Kh43.8%Qs Qh56.2%
AK suited vs deucesAs Ks49.8%2c 2d50.2%
AK vs AQ (dominated)As Kh74.1%Ad Qc25.9%
JT vs A2Jh Td45.1%Ah 2c54.9%
98 suited vs aces9s 8s22.7%Ac Ad77.3%
KQ suited vs jacksKh Qh46.3%Jc Jd53.7%
sevens vs AK7c 7d54.9%Ah Kd45.1%

Each line simulated over 100,000 deals with a fixed seed; true values are within about ±0.3 points.

Pot odds calculator

Pot odds compare what a call costs with what it can win. equity needed = call ÷ (pot + call), where the pot already includes the bet you face. If your chance of winning is higher, the call makes money in the long run.

Pot odds–
Equity needed to call–
Your equity–
EV of calling–

Worked example: $100 in the pot, your opponent bets $50, so $150 is in the middle and you must call $50: pot odds of 3 to 1, a 25% break-even. A flush draw on the flop (9 outs) hits by the river 35.0% of the time, so calling makes about $19.94 on average, before any later bets.

Outs: exact odds vs the rule of 4 and 2

OutsFlop to river (exact)Rule of 4Turn to river (exact)Rule of 2
28.4%8.0%4.3%4.0%
416.5%16.0%8.7%8.0%
624.1%24.0%13.0%12.0%
831.5%32.0%17.4%16.0%
935.0%36.0%19.6%18.0%
1245.0%48.0%26.1%24.0%
1554.1%60.0%32.6%30.0%

Exact: 1 − (47 − outs)(46 − outs) ÷ (47 × 46) from the flop, outs ÷ 46 from the turn, counting only your own unseen cards.

Questions

How do you calculate pot odds?

Divide the amount you must call by the pot after your call. Facing a $50 bet with $150 in the middle (pot odds 3 to 1) you need 25% equity; a flush draw on the flop has 35.0% to the river, so calling makes about $20 on average.

Does the calculator work for Omaha?

Yes. Choose Omaha and enter four cards per player. Each hand must use exactly two hole cards and three board cards. On a 7h 6h 2c flop, A♠A♥K♠Q♠ has 42.6% equity against J♦T♦9♣8♣, which has a wrap straight draw.

How are poker odds calculated?

By dealing out every remaining card combination, or a large random sample of them, and counting how often each hand wins or ties. Equity is wins plus a share of ties.

What is poker equity?

Your share of the pot on average if the hand were played to showdown many times. Aces against kings before the flop have about 82.6% equity.

What is the rule of 4 and 2?

A shortcut for draws: on the flop multiply your outs by 4 for the chance of hitting by the river; on the turn multiply by 2 for the next card. It overstates big draws slightly, as the table shows.

Can I leave an opponent's cards blank?

Yes. A blank hand is dealt randomly in each simulated deal, which gives your equity against a random hand.

Embed this calculator on your site (free)