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Poker odds calculator: outs, pot odds and equity

Count your outs, pick the street, and see the exact chance of hitting your hand. Then enter the pot and the bet to see whether the price is right to call.

Your chance of hitting

Which cards are still to come

Exact chance

34.97%

About 1 in 2.9. With two cards still to come, the rule of 4 says 36.00%, which runs 1.0 points high.

Is the call worth it?

Enter the pot as it stands now, including the bet you are facing, and the amount you need to put in to call.

Equity you need to break even

33.33%

You are getting 2.0 to 1: you risk 50 to win 100. Your draw hits 34.97% of the time.

The price is right. 34.97% beats the 33.33% you need, so calling makes money on the draw alone.

Direct pot odds only compare the price to your chance of hitting. They leave out chips you might win on later streets and the chance that your out does not actually make the best hand.

Reading the numbers

Outs, and how to count them

An out is a card still in the deck that would make your hand the best. You are working from what you can see: your hole cards plus the board. After the flop that is five cards, so 47 cards are unseen. After the turn it is six cards seen and 46 unseen.

The chance of hitting with two cards to come is one minus the chance of missing both. For nine outs on the flop, that is 1 − (38/47 × 37/46) = 34.97%. With one card to come it is simply outs divided by the cards left: 9 out of 46 on the turn is 19.57%.

The rule of 4 and 2 gets you close without a calculator: multiply your outs by 4 on the flop (two cards to come) or by 2 on the turn or river (one card to come). Nine outs becomes 36 percent on the flop and 18 percent on the turn. Close, and easy to do mid-hand.

Pot odds

Is the call worth it?

Pot odds tell you what share of the time you must win for a call to break even: call ÷ (pot + call). The pot here is everything in the middle including the bet you are facing.

Example: the pot is 100, your opponent bets 50, so the pot is now 150 and you need to call 50. You risk 50 to win 150 (3 to 1), so you need to win at least 50 ÷ 200 = 25 percent of the time. A flush draw on the flop hits about 35 percent by the river, so that call has the right price.

If your equity is higher than the percentage you need, the call is profitable over many hands. If it is lower, you are paying too much for the draw.

Common draws

How many outs is that draw?

Typical draws, with the exact chance of hitting from the flop to the river and from the turn to the river. Flop to river is two cards to come, turn to river is one card.

Outs and exact chance of hitting for common poker draws
DrawOutsFlop to riverTurn to river
Flush draw (four to a flush)934.97%19.57%
Open-ended straight draw831.45%17.39%
Gutshot (inside straight draw)416.47%8.70%
Two overcards (such as A-K on a low board)624.14%13.04%
Flush draw plus open-ended straight draw1554.12%32.61%
Flush draw plus gutshot1244.96%26.09%
Pocket pair to a set or better28.42%4.35%
Set to a full house or quads (on the turn)7n/a15.22%
One overcard312.49%6.52%
Two pair to a full house416.47%8.70%

Two warnings. First, some outs are tainted: if the card that completes your flush also pairs the board, an opponent may already have a full house. Subtract those cards before you count. Second, when you hold both a flush draw and a straight draw, do not double count a card that serves both. The 15 outs shown for a flush plus an open-ended straight draw already avoid that overlap.

Want to go further? The Hold'em rules cover the betting rounds, and the hand rankings show what you are drawing to.

Questions

Quick answers

What is an out in poker?
An out is any unseen card that would improve your hand to one you think is the best. With four hearts after the flop, there are nine hearts left in the deck, so you have nine outs to a flush.
What is the rule of 4 and 2?
A quick way to estimate your chance of hitting. With two cards to come (after the flop), multiply your outs by 4. With one card to come (after the turn), multiply by 2. It is accurate within a few points up to about 9 outs and overshoots with bigger draws.
How do I work out pot odds?
Divide the amount you must call by the pot after you call. If the pot is 100 and you must call 50, the pot after calling is 150, so you need 50 divided by 150, or 33.3 percent, to break even. If your chance of winning is higher than that, calling makes money over time.
Why does the exact number differ from the rule of 4?
The rule is a shortcut. The exact chance of hitting at least one of nine outs with two cards to come is 1 minus (38/47 times 37/46), which is 34.97 percent. The rule says 36 percent. For 15 outs it says 60 percent when the real figure is 54.12 percent.
Do these odds count the cards my opponents hold?
No. The calculator assumes every card you cannot see could be in the deck. Cards in your opponents' hands are unknown to you, so that is the best you can do at the table. Some of your outs may also give an opponent a better hand, which is why an out is only worth counting if it makes you the likely winner.

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