Pot odds calculator

Enter the pot and the bet you face. You get the equity you need to call, how often you must defend, and how often their bet can be a bluff. Count your outs to see whether the draw gets there. Everything is worked out in your browser; nothing you type is sent anywhere.

Pot before the bet Their bet

¼ pot ⅓ ½ ⅔ ¾ Pot 1.5× 2×

I bet and they raised

Equity needed to call

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Pot odds

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Minimum defence frequency

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A pure bluff must work

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You call — to win a pot of —.

Your outs

Outs Where you are Flop, facing a bet (one card to come) Flop, all in (turn and river) Turn (one card to come)

Gutshot 4 Open-ender 8 Flush draw 9 Flush + gutshot 12 Flush + open-ender 15

You hit

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Rule of 2

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Assumes every out wins and none is in your opponent's hand, and counts only the money in the pot now.

Pot odds and bet sizes

The same figures for the common bet sizes. They depend only on the bet as a fraction of the pot, so they hold at any stake.

Outs and odds

The exact chance of hitting, from the 47 cards you can't see on the flop and the 46 on the turn, beside the rule of 2 and 4.

"Next card" is the flop-to-turn chance (outs ÷ 47). On the turn it is slightly higher, outs ÷ 46: a flush draw is 19.6%.

How each figure is worked out

Write the pot before the bet as P and the bet as B.

Pot odds and the equity you need

Pot odds compare what you can win, P + B, with what it costs to call, B. A ½-pot bet into 100 is 150 to win for 50, or 3:1. As a percentage, the equity a call needs to break even is B ÷ (P + 2B): what you put in, over the pot once you've called. For the ½-pot bet that is 50 ÷ 200 = 25%.

Minimum defence frequency (MDF)

MDF = P ÷ (P + B). If the defender folds more often than 1 − MDF, a bet with any two cards makes a profit. Against ½ pot, defending 66.7% of the time stops that. MDF is a frequency for a whole range, not a rule for one hand: it says how much of your range should continue, not whether this hand should.

How often a bluff must work

A pure bluff risks B to win P, so it breaks even when the opponent folds B ÷ (P + B) of the time. It is 1 − MDF, seen from the bettor's side.

Bluffs in a balanced river bet

On the river, a polarised bet leaves the caller indifferent when its share of bluffs equals the equity the caller needs: B ÷ (P + 2B). A pot-sized bet can be one-third bluffs, a ½-pot bet one-quarter. Bigger bets can carry more bluffs because they give the caller a worse price.

Facing a raise

Tick "I bet and they raised". The pot is then the pot before anyone bet on this street, P; your bet was H and they raised to R. You call R − H and the equity you need is (R − H) ÷ (P + 2R). MDF becomes (P + H) ÷ (P + H + R).

Outs

With o outs, the next card hits o ÷ 47 of the time from the flop and o ÷ 46 from the turn. Both cards from the flop hit at least once with chance 1 − (47 − o)(46 − o) ÷ (47 × 46). The rule of 2 (outs × 2 per card) is close but a little low. The rule of 4 (outs × 4 for two cards) runs high from 8 outs up: at 15 outs it says 60% against a true 54.1%. It also only applies when you see both cards for one price, which on the flop means you are all in. Outs assume you know what wins. Against a range of hands, count it instead with the equity calculator.

When pot odds are the wrong question

Pot odds count the money in the pot now. A call below the price can still be right when you win more on later streets after you hit (implied odds), and a call above the price can still lose when the hands you beat fold and the hands that beat you bet again (reverse implied odds). Your outs may also be fewer than they look: a flush card that pairs the board can give your opponent a full house. With money still behind and streets to come, pot odds are the minimum a call needs, not the whole answer.