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Image of a Greek goddess of justice holding a sword and a scale with poker chips inside.
In poker, equity rules.

How to calculate poker equity - Practical guide

Understand everything about poker equity: calculate your chances of winning and improve your decisions at every stage of the game.
26.9.2024

Article written by Gandalf, professional poker player, co-founder of Poker Sciences.

Equity is a key concept for any player looking to optimize their decisions in poker. In this article, we explain what equity is, how to calculate it and why it plays a crucial role in a profitable poker strategy.

What is Poker Equity?

Definition of Poker Equity

<span class="inarticle_section">📝 Definition: Poker equity represents your chances of winning the pot at a specific moment in the hand, based on the cards you hold and the cards yet to come.</span>

When we talk about equity, we are referring to the average percentage chance of winning. If you have 50% equity, it means that in a scenario where the game is played multiple times under the same conditions, you would win about half the time.

Therefore, equity always ranges between 0% (your chance of winning the hand is zero) and 100% (you are guaranteed to win the hand).

<span class="inarticle_section">📐 Mathematically, the sum of the equities of all players remaining in a hand is always equal to 100%.</span>

Poker table on the turn where the hero has an Ace-high flush.
With an Ace-high flush on the turn, your equity is close to 100%. However, keep in mind that Villain could potentially beat you with a full house, but this is unlikely.

Why is Equity so Important in Poker?

Equity should influence every decision you make at the table, whether it's to bet, raise, or even fold your cards.

For example, if you have a hand with 80% equity against your opponent's hand, you are in a very favorable position. Therefore, you should bet to maximize your winnings.

Conversely, if your equity is low, like 20%, it might be wiser to minimize your losses by folding, unless the pot odds justify a call.

<span class="inarticle_section">👉🏻 Simply put, the higher your chances of winning (high equity), the more you should be willing to invest money into the pot.</span>

How to Calculate the Equity of a Hand in Poker?

The Mathematical Formula of Poker Equity

Poker equity relies on a simple calculation. The formula is as follows:

\(\text{Equity} = \frac{\text{Number of Winning Scenarios}}{\text{Total Number of Scenarios}}\)

This means that to estimate your chances of winning a hand, you need to examine all the possible scenarios where your hand would win, then compare them to the total number of conceivable scenarios.

In practice, this is very complex to do precisely, which is why tools and software like Equilab make this process easier for you.

Easy Example:

Illustration of a poker table where the Big Blind has a pair of Aces preflop.
In this situation, you have a pair of Aces preflop in the Big Blind. The button (dealer) folded, leaving only the Small Blind facing you.

If you have a pair of Aces against a random hand preflop, you can simulate hundreds of scenarios to calculate how many of them you would win. The percentage obtained gives you your equity, which represents your chances of winning.

In the case of a pair of Aces, Equilab gives approximately 85% equity:

Image of an equity calculation on Equilab.

<span class="inarticle_section">☝🏻 Note that equity is not static; it changes based on the community cards revealed as the hand progresses and the number of players still in the hand.</span>

How to Quickly Calculate Your Equity?

When your only way to win is by hitting your straight or flush draw, there is a simple and quick way to roughly estimate your chances of success, depending on whether you are on the flop or the turn.

Equity Calculation on the Flop

On the flop, you can multiply the number of outs by 4 to get a quick estimate of your equity. Outs are the cards that help you complete your draw.

For example:

With a flush draw (9 outs), you multiply 9 by 4, which gives you approximately 36% equity to complete your hand by the river.

<span class="inarticle_section">➕ A flush draw gives you 9 outs because there are 13 cards of each suit minus the 4 cards of your suit already revealed.</span>

Equity Calculation on the Turn

On the turn, since only one card remains to be revealed (the river), you multiply your number of outs by 2.

For example:

If you still have 9 outs to hit a flush after the turn, this gives you approximately 18% equity to complete your draw with the last card.

<span class="inarticle_section">❓ To determine if your equity justifies a call, remember that generally, a call is profitable when the pot odds are lower than your equity.</span>

Image of a Greek woman thinking in front of a board with mathematical inscriptions and poker chips.
For more information on odds, you can read our article on this topic.

What is the Best Online Poker Equity Calculator?

Comparison of the Best Online Equity Calculators

There are several effective tools to calculate the equity of your poker hands. Here is a comparison of the three most popular calculators:

PokerStove : Simple, free, and fast, it allows you to calculate equity in just a few clicks. Although its interface is a bit outdated, PokerStove remains highly accurate and efficient for simple scenarios. However, it lacks the advanced features found in other calculators.

Screenshot of the PokerStove software.
The PokerStove interface could use a little update.

Equilab : Widely recognized as one of the most versatile free tools, Equilab not only provides precise equity calculations but also an intuitive interface that facilitates hand analysis. With Equilab, you can simulate complex situations and study your opponents' ranges. It's perfect for both beginners and advanced players. And like PokerStove, Equilab is free.

Screenshot of the Equilab software interface
The Equilab interface is relatively clear and quite easy to use.

Flopzilla : Known for its advanced features, Flopzilla goes beyond simple equity calculations. It allows in-depth analysis of post-flop situations, taking into account opponents’ tendencies and board textures. Flopzilla is the ideal tool for players looking to improve their post-flop game. Its main downside is that it may seem more complex for new players due to its busy interface. Price: $25.

Screenshot of the Flopzilla software interface.
The Flopzilla interface is by far the most pleasant to use.

<span class="inarticle_section">➡️ If you are looking for a simple but accurate tool, PokerStove remains an excellent option. For more flexibility and depth in analysis, Equilab is a great choice. If you are willing to invest time in learning a more advanced tool, Flopzilla will offer you very detailed analysis possibilities.</span>

Note that during your online games, you won't have time to use these tools. They are designed to be used "off the tables," when you focus on improving your strategy.

What is the Difference Between Equity and Probability in Poker?

Equity and probability are two closely related concepts in poker.

Probability

A probability simply refers to the chance that a specific event will occur.

For example:

  • The probability of hitting a flush draw.
  • The probability of hitting a set when you have a pocket pair.
  • The probability that your opponent is bluffing in a given situation.

Equity

Equity, on the other hand, goes further. It’s a kind of "super-probability" that encompasses a set of probabilities (probability of hitting your draw, probability that the opponent is bluffing, etc.) to estimate your chance of winning the pot.

To simplify:

  • A probability indicates the chance that a specific event will happen.
  • Equity is an estimate of your chances of winning the pot by taking into account several probabilities.
Greek goddess of justice in front of poker players.
Equity is a kind of super-probability...

Examples of Equity Between 2 All-In Players

Finally, let’s look at the table below which presents examples of situations where two players are all-in preflop.

For each situation (one situation = one row of the table), this table gives you the probabilities of winning (i.e., equity, if you’ve been following) for both players.

Since calculating your equity can be time-consuming, knowing the most common equities approximately can be a very interesting advantage in poker.

Table of winning probabilities in poker when two players are all-in.
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