How to Calculate Poker Equity - Practical Guide

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.

Definition of poker equity

When we talk about equity, we talk about average winning percentage. If you have 50% equity, it means that in a scenario where the hand is played out many times under the same conditions, you would win about half the time.

Equity is therefore always between 0% (your probability of winning the hand is zero) and 100% (you win the hand for sure).

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

For example, if you have a hand with 80% equity against your opponent's, you're in a very favorable position. You therefore have every reason to bet to maximize your winnings.

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

The mathematical formula for poker equity

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

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

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

Easy example:

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 win.

With a pair of Aces, Equilab gives approximately 85% equity:

When your only way to win is to hit a straight or flush draw, there's a simple and quick way to roughly estimate your chances depending on whether you're on the flop or turn.

1️⃣ Calculating equity 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 allow you to complete your draw.

For example:

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

2️⃣ Calculating equity on the turn

On the turn, since only one card remains (the river), you only 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 on the last card.

To learn more about pot odds, you can read our article on the subject.

Comparison of the best online equity calculators

There are several powerful tools for calculating your poker hand equity. Here's a comparison of the three most popular calculators:

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

Equilab: widely recognized as one of the most versatile free tools, Equilab not only offers accurate 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 beginners and advanced players alike. And like PokerStove, Equilab is free.

Flopzilla: Known for its advanced features, Flopzilla goes beyond simple equity calculation. 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 drawback is that it can seem more complex for new players due to its loaded interface. Price: $25.

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

Equity and probabilities are two closely related concepts in poker.

Probability

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.

To summarize:

• A probability indicates the chance that a specific event occurs.
• Equity is an estimate of your chances of winning the pot taking into account several probabilities.

To conclude, 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 winning probabilities (i.e. equity if you've been paying attention) of both players.

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