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Poker odds calculator

Updated: Diese Seite auf Deutsch

Contents: 8 sections
  1. Odds calculator for Texas hold'em
  2. What the percentages mean
  3. Outs: the cards that help you
  4. The rule of 2 and 4
  5. How often your outs hit
  6. Pot odds: is the call worth it?
  7. How the calculator works it out
  8. Questions and answers

Pick your two cards, the board and the number of players. The calculator shows how often each hand wins, which cards help you and whether a call pays off. It is free, runs in your browser and works out the exact answer whenever every hand is known.

An example: ace-king of hearts against a pair of queens wins 46% of the time before the flop. If the flop brings the jack and the seven of hearts, the same hand wins 54% of the time, because 15 cards put it ahead.

Odds calculator for Texas hold'em

How it works

  1. Pick a place The yellow frame shows where the next card goes. Tap another place to move it.
  2. Lay a card Tap the card in the deck. On a computer you can also drag it there.
  3. Read the result The percentages show how often each hand wins. The × on a card puts it back.

Examples

Board

  1. You
    54%Ace high, flush draw
  2. Opponent 1
    46%Pair of queens

Deck

Next card: Turn

Use the arrow keys to move from card to card.

Which rank?

Grey cards are already on the table.

54%you win

You win 54 out of 100 times.

Worked out exactly: all 990 ways the turn and river can come.

Outs: cards that help you

Right now you are behind. 15 cards put you ahead on the turn:

9 hearts give you a flush

3 aces and 3 kings give you a pair

One of them by the river
56%
Rule of thumb 15 × 4
60%

Is the call worth it?

You need 20%, you have 54%. Calling pays off in the long run.

The pot is everything in the middle, including your opponent's bet.

The calculator runs in your browser and saves nothing. When all opponents' cards are known it counts every possibility, otherwise it plays 50,000 random hands.

Your opponents' cards stay face down as long as you leave them open, and the calculator deals them at random. "Deal the flop" puts three random cards on the board, so you can watch the chances change card by card. Which hand beats which is in the poker hand rankings.

What the percentages mean

The big number in each row is how often that hand wins on its own. Sometimes two hands are exactly the same and the pot is split, the line next to the chip says how often. Wins plus your share of split pots are called equity: what your hand is worth on average, as a share of the pot.

81% is not 100%. Aces win 81 times out of 100 against kings before the flop, so the kings win 19 times. Try "Aces against kings" and press "Deal the flop" a few times, and you will see it happen.

The more players, the smaller your chance. Aces win about 85 times out of 100 against one random hand, 56 against four and 31 against nine. We estimated these numbers from at least a million random deals each with this calculator.

Outs: the cards that help you

An out is a card that turns your hand into the best one. With ace-king of hearts on a flop of jack of hearts, seven of hearts and two of clubs, nine hearts give you a flush, and three aces and three kings give you a higher pair than the queens: 15 outs.

If you enter your opponents' cards, the calculator counts exactly which cards put you ahead. Without them it shows the cards that improve your hand more than they improve the board, such as a heart for your flush draw. Whether that is enough depends on what the others hold.

The rule of 2 and 4

On the flop, multiply your outs by 4 to get your chance of hitting one by the river. On the turn, multiply them by 2 for the river alone. Nine outs for a flush draw make 36% on the flop and 18% on the turn. Worked out exactly, it is 35% and 20%.

With many outs the rule of 4 is too high. With 15 outs it says 60%, the exact value is 54%. The table below shows the exact values for 1 to 15 outs, with the rule of thumb in the column heads.

How often your outs hit

How often one of your outs comes when only your two cards and the board are known
OutsFor exampleFlop to riverRule of thumb: outs × 4River onlyRule of thumb: outs × 2
14%2%
2Pocket pair to three of a kind8%4%
312%7%
4Inside straight draw (gutshot)16%9%
520%11%
6Two overcards24%13%
728%15%
8Open-ended straight draw31%17%
9Flush draw35%20%
1038%22%
1142%24%
12Flush draw and gutshot45%26%
1348%28%
1451%30%
15Flush draw and open-ended straight draw54%33%

The table counts 47 unseen cards on the flop and 46 on the turn, because you only know your own two cards and the board. If you know your opponents' cards, fewer cards are left, and the calculator above counts with exactly those.

Pot odds: is the call worth it?

Pot odds compare what you have to pay with what you can win. Say there are 40 chips in the pot, including your opponent's bet, and you have to call 10. After your call the pot holds 50, and 10 of them are yours. So you have to win at least 10 out of 50 times, 20%, for the call to pay off.

Under "Is the call worth it?" in the calculator, enter the pot and your call. It compares what you need with your equity and tells you in one sentence whether calling pays off in the long run. You can still lose a single hand, the math only works out over many. How the betting rounds go is explained in the Texas hold'em rules.

How the calculator works it out

When every player's cards are known, the calculator goes through every possible board: 990 combinations of turn and river after the flop, and 1,712,304 boards before the flop with two players. When some cards are unknown, it deals 50,000 random hands and counts the winners. The same cards always give the same estimate, accurate to about half a percentage point.

We checked the hand evaluation against all 133,784,560 possible seven-card hands. It finds exactly the published number of each hand, from 4,324 royal flushes to 23,294,460 hands with only a high card.

The calculator stores nothing. Your cards only end up in the link when you share it.

Questions and answers

How do you calculate poker odds?

Count your outs, the cards that put you ahead. On the flop multiply them by 4, on the turn by 2. That is roughly your chance of hitting one by the river. The calculator on this page works it out exactly.

What are the odds of aces against kings?

Before the flop, aces win 81 times out of 100 against kings and the kings 19 times. Split pots happen in less than 1 hand out of 100.

How often do pocket aces win against several players?

About 85 times out of 100 against one random hand, 73 against two, 56 against four and 31 against nine. We estimated these numbers from at least a million random deals each with the calculator on this page.

What are pot odds?

The share of the pot you have to pay to call. With 40 in the pot and a call of 10 you pay 10 of 50, so you need to win 20% of the time for the call to pay off in the long run.

What is equity in poker?

Your share of the pot on average: how often you win, plus your share of the pots you split. With 54% equity your hand is worth 54 of every 100 chips in the pot in the long run.

Is the poker odds calculator free?

Yes. It runs in your browser, needs no account and no download and stores nothing.

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