How To Calculate Texas Holdem Odds

4/10/2022

The most straightforward explanation of how to calculate pot odds is to compare the total number of unknown cards to how many outs you have, and then do some simple division. For example, if you are four to a nut flush on the turn of a Texas Hold 'em game, there are 46 unknown cards, (52 minus your 2 pocket cards and 4 on the board). What is Texas holdem poker odds calculator? Texas holdem poker odds calculator is a special tool that helps determine the odds that a player will have a winning hand. The calculator allows you to run any scenario that is possible at the poker table. You can view your odds and outs, roughly understand the math of winning and losing combinations.

How To Calculate Texas Holdem Pot Odds
Texas Holdem Hands Chart
Poker Hand Odds Calculator Preflop
How To Calculate Texas Hold'em Odds
Texas Holdem Probability Chart
Texas Holdem Odds And Probabilities
Hold Em Odds

The following Texas Holdem odds table highlights some common probabilities that you may encounter in Hold'em. It is not vital that you learn these probabilities, but it is useful to be aware of the chances of certain situations arising.

Texas Hold'em odds chart.

How To Calculate Texas Holdem Pot Odds

Situation	Percentage Odds	Ratio Odds
Preflop Probabilities:
Dealt AA.	0.45%	220 to 1
Dealt AK.	1.2%	82 to 1
Dealt AKs.	0.3%	331 to 1
Dealt 72o.	0.9%	109 to 1
Being dealt AA vs. KK (heads up).	0.004%	22,559 to 1
Dealt a pocket pair.	6%	16 to 1
Dealt suited connectors.	4%	24 to 1
Flop Probabilities:
Flopping a pair.	32.4%	2.2 to 1
Flopping a set (with pockets).	11.8%	7.5 to 1
Paired Board:
2 players, probability of trips.	17%	4.8 to 1
3 players, probability of trips.	26%	3 to 1
4 players, probability of trips.	34%	2 to 1
5 players, probability of trips.	43%	1.4 to 1

How to use Texas Hold'em odds.

The odds in this Texas Hold'em odds table are unlikely to directly help your overall strategy, but they are pretty interesting nonetheless. The Texas Hold'em odds for each of the different situations have been given in both percentage and ratio odds, so use whichever format you feel comfortable with.

Other poker odds charts.

For more useful odds charts that you can use for when you are working out whether or not to call when on a drawing hand, use the following tables:

Both of these tables give the odds for completing your draw depending on how many outs you have. You can find out more on how to work out odds and all that mathematical stuff in the article on pot odds.

Go back to the poker odds charts.

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Comments

One of the most basic but also the most crucial skills for a poker player is the ability to quickly calculate how many outs you have to a winning hand.

It may seem complicated at first, but in reality it only takes a little practice for it to become second nature.

When you play poker the best-case scenario would be to always put your money in with the best hand. That just isn't the reality, though. You are going to put your money in bad from time to time.

Related Reading:

How to Count Your Outs

In those cases where you are putting your money in bad, the idea is that you are able to make a hand on a later street that is better than your opponent's. The cards that give you that winning hand are known as 'outs.'

An example: You have A♣K♣. Your opponent accidentally shows you J♦9♦10♠J♣3♣ board. How many outs do you have?

Well, you have two overcards to his jack, meaning that three aces and three kings are outs to a higher pair. You also have four queens that would give you the nut straight, and you have nine clubs that can give you the nut flush.

Of course, you double-counted one of your outs. You can't count the queen of clubs twice. So when you recount, you have a total of 18 outs. That's a lot of cards that can come on the turn to help you.

An 18-out draw is very big, and actually makes you a favorite against top pair on the flop.

Put Your Opponent on a Hand Range

In reality it's never going to be obvious as in the above example - your villain is not going to actually show you his cards. So you must be able to put him on a range of likely hands. Once you have his approximate range, it becomes easier to calculate your outs.

You're never going to be able to put your opponent on an exact hand, so calculating outs will never be exact. Your calculations will ultimately only be as accurate as the hand range you put your opponent on.

If in the example above you give your opponent J♠J♥, you have significantly fewer outs. No longer do your three remaining aces and kings give you the winning hand.

Furthermore, you can hit your hand on the turn and still lose should the river pair the board.

When calculating outs, keep in mind that it's not an exact science and that sometimes a card you may think is an out may not actually give you the best hand.

What Are 'Half Outs' in Poker?

Sometimes your perceived outs only count as half outs. Let's take a look at an example:

You have 8♠9♠. The board is 10♥J♥3♦. You have four sevens and four queens that will give you a straight. Meaning you have eight outs. Correct?

Texas Holdem Hands Chart

Yes and no. Sometimes you are going to hit your straight, but that card will also make your opponent a flush, improving you to a second-best hand.

In this example the Q♥ and the 7♥ are not worth a full out to you. Thus you should only count them as half outs each. Meaning in reality you only have seven outs.

Counting the Q♥ and the 7♥ as half outs accounts for those times where you will make your straight yet still lose to your opponent's flush.

Poker Hand Odds Calculator Preflop

What Are Hidden Outs in Poker?

Occasionally you are going to come across a hand where you may even have hidden outs. They are called hidden outs because they may not immediately help your hand but they may actually hurt your opponent's hand.

A quick example:

You hold A♥A♣5♠6♣9♦K♥ board. Your opponent holds 6♠5♥ for two pair. On the river you can be saved by the A♦ or the A♠, which will give you a set, but you can also be saved by the board pairing either the nine or the king.

This would counterfeit your opponent's two pair and give you a higher, winning two pair. While neither a nine nor a king actually hits your hole cards, it still improves your hand to a winning two pair. This is what is known as a 'hidden out.'

Poker is Outs and Pot Odds

As with honing any skill, practice makes perfect. Once you are able to accurately calculate your outs you will be able to correctly determine the pot odds you require to continue with a hand.