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How To Figure Pot Odds In Poker
Calculate Pot Odds Poker

There are many ways to calculate Pot Odds but here's a simple one. Rather than using a formula, poker players around the globe use the Rule of 2 and 4. The rule says that if you have two cards to come, you can multiply the number of outs you have by four and you'll come to an approximate percentage of making your hand. Before you can begin to calculate your poker odds you need to know your “outs”. An out is a card which will make your hand. For example, if you are on a flush draw with four hearts in your hand, then there will be nine hearts (outs) remaining in the deck to give you a flush.

One of the first and most important examples of 'poker math' that new no-limit hold'em players need to learn is how to calculate 'pot odds.' In fact, when people talk about the 'math of poker,' a lot of the time they are mostly referring to pot odds and how an understanding of them can help you decide whether to bet, raise, call, or fold.

Put most simply, pot odds represents the ratio between what you stand to gain in a hand of poker and what you have to spend in order to get it — that is, the ratio between your reward and your risk when making any given decision during a poker hand.

Calculating Pot Odds

For example, if there is $80 in the pot and your opponent bets $20, that makes a total of $100 in the middle. That $100 is the reward you can get if you're willing to risk $20 to call the bet. Pot odds are expressed as a ratio (reward-to-risk). In this case you're having to risk $20 to win $100, so your pot odds are 100-to-20, or 5-to-1.

That's the scenario poker players most often describe when talking about pot odds — that is, when facing a bet and deciding whether or not to call or fold. You add the amount of the bet to what is already in the pot to calculate the reward, the bet you need to call represents the risk, and the pot odds 'being given' to call is that reward-to-risk ratio.

Of course, you can also talk about pot odds after a player raises. Say you decide not just to call that $20 bet described above, but to raise to $80. That would mean your opponent has to call $60 to have a chance at winning what is now $180 in the middle — 180-to-60 or 3-to-1 pot odds.

That might seem simple enough — a little bit of addition and an easy division problem, and you can calculate pot odds.

But why bother? There are lots of reasons.

One big reason why you want to stay generally aware of what your pot odds are — which means keeping track of how big the pot is at all times and being able to compare the pot size to each bet — is that doing so helps you estimate whether or not the pot odds being offered to you are favorable or unfavorable given the situation.

Let's look at three common circumstances in no-limit hold'em in which pot odds can be helpful when making decisions. Texas holdem poker chip ankara.

Using Pot Odds When Playing a Drawing Hand

Say you are on a flush draw and have with the board showing . There is $120 in the pot, and your opponent has bet $60. You could call to see the river card, but are the pot odds favorable enough for you to make the call?

It's easy enough to see that the reward is $180 ($120 in the pot plus the $60 bet), and so with a $60 risk you are getting 180-to-60 or 3-to-1 pot odds. Is that good or bad?

You believe you probably have to make a flush in order to make a better hand than your opponent's, so that means you have nine outs — the nine remaining clubs — to make your hand. You can see six cards (the two in your hand plus the four on the board), leaving 46 unknown cards, so you can estimate your chance of seeing a club fall on the river to be 9 out of 46, or just over 4-to-1 against.

Compare your pot odds (3-to-1 to call) to the odds you'll make your flush (a little worse than 4-to-1 against). It's clear that calling isn't such a good choice — that the pot odds aren't favorable for calling — because over the long term calling is not a profitable play.

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Let's say you were to make this call 100 times. About 20 times you'd make your flush on the river (actually a little less, but we'll round it up). You'd be risking $60 x 100 or $6,000. But your reward would only be $180 x 20 or $3,600. After making this call 100 times and winning only 20 hands, you'd have lost $2,400! (Note: we aren't considering what extra money might be won or lost after the river card, but just the profitability of this particular turn call.)

Pot odds are favorable when they are greater than the odds against making your hand. If the pot odds were 5-to-1 here, it would be a good call with it being just over 4-to-1 against making the flush. But 3-to-1 pot odds are unfavorable when drawing one card to make a flush.

How To Figure Pot Odds In Poker

Using Pot Odds to Decide Whether to Call a Preflop Raise

Pot odds can also be compared not just to a specific probability (like drawing to a flush), but also to a more general estimate of your chances in a hand.

Say for example you're playing $1/$2 no-limit hold'em and get dealt in the big blind. A player raises to $7 from the button and it folds to you.

First off.. what are your pot odds here? There is $10 in the middle (the $1 small blind + the $2 big blind + the $7 raise), and you have to call $5 to stay in the hand. That's 2-to-1 pot odds.

Now, think about the prospect of playing out of position. It's a hand without a lot of potential that is almost certainly worse than whatever the player on the button who raised has. Unless you flop a couple of diamonds or perhaps trips or two pair, you're not likely to feel good about going very far with this hand. Are these 2-to-1 odds favorable?

No, they aren't. You could quantify this perhaps, noting how you with two suited cards you flop a flush draw about 11% of the time, you flop two pair about 2% of the time, and you flop trips about 1.3% of the time — that adds up to around 14% good flops, meaning it's worse than 6-to-1 against your seeing a good flop. That's just an estimate, really, but is obviously way worse than the 2-to-1 pot odds, so folding is in order.

What if a player raises to $7 from early position and five other players including the small blind call before the action reaches you in the big blind with your ? Now there's $44 in the middle and you have to pay $5 to see the flop. Those are almost 8-to-1 pot odds, which are in fact greater than the odds against your flopping something good — you might consider calling.

How To Calculate Pot Odds Poker