Pot odds in poker: the maths behind every call

Pot odds compare the size of the pot with the cost of calling a bet. They tell you how often you need to win for a call to break even: if the pot is $150 after your opponent bets and the call costs $50, you’re getting 3-to-1, and you need to win at least 25% of the time. If your hand wins more often than that, calling makes money in the long run.

The maths takes a few seconds once you’ve practised it. This guide shows the calculation step by step, gives you two reference tables (bet size to required equity, and outs to winning chances), and walks through one hand where the same draw is a call, a fold and an all-in call depending on the bet.

How to calculate pot odds in three steps

Take a simple spot. The pot is $100 and your opponent bets $50.

1. Add up the pot including the bet. $100 + $50 = $150 is what you can win.
2. Note the price of your call. Here it’s $50.
3. Divide the call by the pot after your call. $50 ÷ ($150 + $50) = 25%. That’s the equity you need: the share of the time you must win for the call to break even.

The same price can be written as a ratio: $150 to win for $50 to call is 3-to-1. To turn a ratio into a percentage, divide 1 by the total of both numbers: 1 ÷ (3 + 1) = 25%. To go the other way, divide the chance of losing by the chance of winning: 75 ÷ 25 = 3, so 3-to-1.

Your own call goes into the total. The most common mistake is dividing $50 by $150 and getting 33%. The pot you’re playing for after calling is $200, and $50 of it is yours.

Money you put in earlier in the hand doesn’t change the decision. It’s already in the pot and belongs to whoever wins it; only the next call is a new cost.

Bet size and the equity you need

Because the price depends only on how big the bet is compared with the pot, a handful of numbers come up again and again. It’s worth knowing them by heart:

The pattern matters more than the decimals. Small bets give you a good price, and each step up costs you less than the one before: going from a pot-sized bet to twice the pot only raises your requirement from 33% to 40%.

The two lines show a flush draw. With one card to come it wins about 19.6% of the time, which is only enough against bets smaller than about a third of the pot. With two cards to come it wins 35%, enough to call even a pot-sized bet, but only if you’re sure to see both cards.

Turn your outs into equity

Pot odds tell you what you need; your outs tell you what you have. An out is a card that should give you the best hand. A flush draw has 9 outs, an open-ended straight draw 8, and a gutshot 4. Our guide to counting outs covers more draws and the tricky cases.

The exact chance of hitting is simple to work out: on the flop there are 47 unseen cards, and on the turn 46. The table shows the results for the draws you’ll meet most:

At the table nobody divides by 46 in their head, so players use the rule of 2 and 4: multiply your outs by 2 for one card to come, or by 4 for two cards. It works well for small draws. With big draws the ×4 shortcut runs high: 15 outs come in 54% of the time, not 60%. Our article on poker odds covers the rule in more detail.

Not every out is clean. If the flush card also pairs the board, an opponent with a set can make a full house; if your straight card puts four of a suit on the board, a flush can beat you. Discount outs like these, or count them as half.

One card or two: which number to use

This is where most pot odds advice goes wrong. On the flop, the “flop to river” column looks tempting, but it assumes you’ll see the turn and the river for the price of one call. In most hands you won’t: your opponent will bet again on the turn, and you’ll face a new decision.

So the rule is simple. When you call a bet on the flop with chips still behind, compare the price with your chance on the next card only. Use the two-card number only when no more betting is possible, which in practice means your opponent is all-in, or you are.

A hand from start to finish

To put the steps together, follow one hand. It’s a $1/$2 cash game, you hold A♥ 9♥, and after a raise and a call before the flop there’s $20 in the middle. You’ll see one draw meet four different bets.

The flop: a half-pot bet

The flop comes K♥ 7♥ 2♣. Your opponent bets $10 into the $20 pot.

The call costs $10 to win $30, so you need 25%. Counting only the flush, you have 9 outs: 19.1% to hit on the turn. On pure pot odds, that’s a fold.

Most players call here anyway, and for good reasons. An ace on the turn may also give you the best hand, which adds outs. If the flush comes, you’ll hold the best possible flush and can win more on later streets. That extra money is what implied odds measure, and we’ll put a number on it below.

The turn: a small bet

You call, and the turn is the 5♠. The pot is now $40, and your opponent bets $10.

Now the price is $10 to win $50: you need 16.7%. With one card left and 9 outs among 46 unseen cards, you hit 19.6% of the time. The call makes money on pot odds alone, before counting anything you might win on the river.

The turn: a pot-sized bet

Go back to the same turn, but this time your opponent bets $40, the size of the pot.

The call costs $40, and the pot after it would be $120, so you need 33.3%. You have 19.6%. That gap is too big for the draw on its own. The call only works if you can win a lot more when the flush comes, which brings us to implied odds.

The flop: all-in

Finally, go back to the flop. This time your opponent, holding K♠ Q♦, moves all-in for $60, and you have $60 left.

The call costs $60 to win $80, so you need 42.9%. Because no more betting can happen, you’ll see both the turn and the river, and the two-card number applies. Against K♠ Q♦ you have 9 hearts and 3 aces, 12 outs in all, and win 44.9% of the time. It’s a close call, but a correct one.

Pot odds on the river: calling with a made hand

Pot odds aren’t only for draws. On the river there are no cards to come, so your equity is simply how often your hand is best. That turns every river call into one question: is my opponent bluffing often enough?

Say you hold top pair, the pot is $60 and your opponent bets $30. You need to call $30 to win $90, so you need 25%. If your hand beats only their bluffs, the call is profitable whenever they’re bluffing more than one time in four. Against a pot-sized bet the bar rises to one time in three.

You can’t know the exact number, but you can judge it. Missed draws on the board, an opponent who bluffs a lot, or a story that doesn’t add up all push toward calling. A player who never bluffs the river makes even a cheap call a losing one. Our guide to bluff-catching goes deeper.

Implied odds: when the price is wrong but the call is right

Implied odds add the money you expect to win after you hit. In the pot-sized turn spot, the call is $40 and the pot after calling would be $120. To break even with 19.6% equity, the total you win when the flush comes has to reach about $204, so you need to win about $85 more on the river, on average, when you hit.

That’s the question to ask: will this opponent pay $85 on the river when a fourth heart lands? A player with a set might. Someone holding one pair will often check and fold. If you can’t see where the extra money comes from, the call loses.

The same idea explains set-mining, calling a raise with a small pair to try to flop three of a kind. You flop a set or better 11.8% of the time, so you need to win roughly 7.5 times the price of your call when you hit. That’s why small pairs play best with deep stacks and opponents who don’t fold big hands.

Implied odds are the easiest number to exaggerate. Players call too much by imagining the full stack they’ll win, while the opponent folds most of the time the draw comes in.

Reverse implied odds

Reverse implied odds are the other side: the money you lose when you hit and still have the second-best hand. Change the hand to 6♥ 5♥ on the same K♥ 7♥ 2♣ flop. A heart gives you a flush, but a low one: anyone holding a bigger heart beats you, and you’ll pay them off.

The fix is to discount draws that aren’t to the best hand. A flush draw to the ace is worth its full 9 outs; a low flush draw on a board where your opponent could easily hold a bigger heart is worth noticeably less. Drawing to the low end of a straight carries the same risk.

Multiway pots

When other players call before you, the price improves. Say the flop pot is $30, one player bets $15 and another calls. You now pay $15 to win $60, so you need 20% instead of the 25% you’d need heads-up.

The catch is that more players also means more hands that can beat yours. In a three-way pot, your flush card might give someone else a bigger flush, and your straight card might fill a set’s full house. Better pot odds help draws to the best hand far more than weak draws.

Pot odds from the bettor’s side

The same maths tells you how much to bet when you’re ahead and your opponent is drawing. If you bet so that their price is worse than their chance to hit, every call costs them money.

Take the turn again, with you holding the best hand and your opponent on a flush draw with 19.6% equity. In a $20 pot, any bet above about $6.50, just under a third of the pot, makes the call a losing one for them on pot odds alone. A smaller bet gives them a correct call. Defending the other way, against bets of different sizes, is covered in our guide to minimum defence frequency.

Pot odds tell you whether a single call is profitable; to weigh calls, raises and folds together you’ll need equity and expected value. And when a raise could also make your opponent fold, fold equity enters the picture.

Pot odds FAQ