Range Matrix Poker
Range Matrix Poker 3,5/5 9898 votes
- I am having some tough time understanding the basic concepts, like range of a matrix A. From what I basically understand, if a set columns in a matrix are linearly independent, i.e. One column in that set can not be derived from linear combination of others, than we can get a bunch of set of vectors by linear combination of the columns of matrix A.
- A range in poker, is a selection of possible cards that a player might be holding. Since we rarely know villain’s exact two cards, we should base our decisions on the range of likely hands he might have. As our opponent takes certain actions during the course of a hand, we narrow and refine our perception of which holdings make up his range.
It’s incredibly difficult to put your opponent on an exact hand. Therefore, most of the time, you have to think in terms of poker hand ranges. Even though you don’t have a specific idea of what cards are in your opponent’s hand, a hand range gives you something to work with.
The range of hands will differ depending on how many players are at your table too. It’s well worth making yourself aware of the different poker rankings for each hand before you begin. Flopzilla: Range analysis software Flopzilla is a poker calculator that has been designed to let you quickly and easily figure out how a range hits a board. Just enter a preflop range and a board and Flopzilla will work out for you how often that range hits hands like top pair, middle pair, a flushdraw, a gutshot, etc.
Beginners may not have thought of this, but winning players make almost all their decisions based on poker hand ranges and knowing the different types of poker hands you might get is extremely important. Your every action changes an opponent’s idea of your hand range and vice-versa. You can have anything when cards are dealt but every fold, call or raise tells something about the range of hands you can have.
Most players fail to make the effort to figure out a hand range. However, every player who intends to be a long-term winner needs to know how to analyze and weight hand ranges.
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Poker Hand Combinations
How to use a poker range calculator? In order to be able to calculate a range of hands, the first thing you need to keep in mind is how many possible hand combinations there are for different types of hands:
| Hand Type | Combinations |
|---|---|
| Pocket Pairs | 6 |
| Non-Paired | 16 |
| Suited Non-Paired | 4 |
| Off-Suit Non-Paired | 12 |
So what does the table tell you?
- There are more variations of non-paired hands than pocket pairs.
For example, if you think an opponent’s hand range is 44 and 87, it’s more likely for the opponent to have 87 (16 combinations) than 44 (six combinations). - There are four combinations of suited non-paired hands and 12 combinations of off-suited non-paired hands. Knowing this makes it easier to calculate the likelihood of an opponent having a suited hand.
Using Hand Ranges in Poker
Here’s a scenario: you raise with AK-offsuit pre-flop and the opponent calls. You know the opponent calls in this situation 15% of the time. According to Equilab, here’s the top 15% of poker hands (although someone’s 15% can include different hands–for example, one might play 66 rather than KT-offsuit):
Top 15% of all poker hands (in blue). |
You have AK-offsuit, and you’d like to figure out how your hand matches up against the opponent’s hand range. So you use Equilab to calculate it and you see that AK-offsuit has 61.36% equity while the opponent has 38.64%. Sounds like a good deal for you.
Most players assume they’d do well but they have never thought their opponent’s hand range through and evaluated it against their own hand. Once you get the habit of using an equity calculator, you’ll be surprised by how much or little equity certain hands have against certain hand ranges.
Your idea of an opponent’s hand range changes with every decision the opponent makes. So let’s say, instead of calling your raise, the opponent decides to raise, which he does 3.75% of the time. Here’s the hand range:
Top 3.75% of all poker hands (in blue). |
Based on the opponent’s hand range, he’d now have ~57% equity. When he just calls, you’re still ahead of his hand range; when he re-raises, your AK-offsuit is in trouble.
Weighted Hand Ranges
But an opponent may play certain hands out of his hand range more often than others. For example, instead of re-raising 100% of the time with 99, he may only do so 50% of the time. Based on your reads, you assign more or less weight to a certain hand in a range of hands and, just like before, calculate how your hand does against it.
And it can make a big difference. For example, an opponent’s hand range is AA and QQ while you have KK. In case the opponent plays both AA and QQ 100% of the time in that situation, you might consider your chances of winning poker around 50%, but if the opponent plays AA 100% of the time and only plays QQ some other % of the time, your chances of winning take a hit. You’d be going against AA the majority of the time.
How to Calculate a Weighted Hand Range
So let’s say you have JJ pre-flop and you’re up against an all-in raise. You think the opponent could do this with AA, KK, QQ, AK, and AQ. How many hand combinations do you beat and how many beat you?
Hand combinations that beat you:
| Hand | Combinations |
|---|---|
| AA | 6 |
| KK | 6 |
| 6 | |
| Total | 18 |
Hand combinations that you beat:
| Hand | Combinations |
|---|---|
| AK | 16 |
| AQ | 16 |
| Total | 32 |
You beat 32 of your opponent’s hand combinations and the opponent beats you with 18 combinations. By using Equilab, we can see that your equity is 42.60%. If, however, the opponent only has AK and AQ 50% of the time (which is a relatively realistic scenario), here’s what happens:
Hand combinations that beat you v2:
| Hand | Combinations |
|---|---|
| AA | 6 |
| KK | 6 |
| 6 | |
| Total | 18 |
Hand combinations that you beat v2:
| Hand | Combinations |
|---|---|
| AK | 8 |
| AQ | 8 |
| Total | 16 |
And by using Equilab, we can see that our equity drops to about 36%. That’s a dramatic difference in the long run. which can make the difference between whether you should call or fold, which obviously depends on pot and bet sizes and how much money you and your opponent have left.
Learning to weight poker hand ranges is worth your while. Weighting hand ranges gives you more accurate information about your chances in different poker situations as long as you determine the hand combinations right. Like in almost every skill game in the world, the more complicated a theory is, the harder it is to execute and the more profitable it is when executed perfectly. With a little bit of work and thinking you’ll get more accurate calculations.
How to Manipulate Hand Ranges
The basic idea of manipulating hand ranges is To make strong hands look weak and the other way around. This way we can get the most out of our hands because either the opponent likes to call when we’ve got a tight range of hands – meaning we can get the money in with a strong hand – or the opponent likes to fold when we’ve got a loose range, meaning we can get the opponent to fold when we have a weak hand.
One of the biggest problems is to recognize what strong and weak play is in an opponent’s opinion. Obviously Lisa and Bart are going to read situations differently and they’re going to end up having different ideas of who’s weak and who isn’t. Another problem is to know who’s been paying attention to the game and who has other things to focus on. You have to rely on the idea that the opponent follows the game at least semi-closely and adjusts his play optimally against your range of hands. Usually it’s easy to tell who’s following the game, though.
The third problem would be to understand how an opponent reacts to the way you play. There are different ways for players to react, obviously, since otherwise all the players would play the same way. Some make logical decisions, some don’t.
All of these points must be taken into consideration when manipulating hand ranges in poker. It’s of no use to build an image for yourself if the opponent pays no attention to the game. It might be counterproductive to build an image if the opponent reacts unlike you expected. You’ll always have to consider these points when building a player image and manipulating your range.
Common Mistakes – Being Optimistic
The biggest mistake when figuring out a hand range is to have too much optimism when making decisions. For example, always believing the best and creating hand ranges that are convenient for you is a huge mistake and misses the whole idea. It’s not just about winning; it’s also about losing the least possible. By realizing your hand range is unprofitable against an opponent’s hand range, you avoid losing money.
Giving Up
Losing is a part of poker and beating most of an opponent’s range doesn’t mean you’ll win all of the pots. You’ll lose a certain percentage of them, and you may even have an extremely unlikely run of losses but such is variance.
Other strategies
If you are looking for different strategies go ahead and visit our main page.
It’s incredibly difficult to put your opponent on an exact hand. Therefore, most of the time, you have to think in terms of poker hand ranges. Even though you don’t have a specific idea of what cards are in your opponent’s hand, a hand range gives you something to work with.
Beginners may not have thought of this, but winning players make almost all their decisions based on poker hand ranges and knowing the different types of poker hands you might get is extremely important. Your every action changes an opponent’s idea of your hand range and vice-versa. You can have anything when cards are dealt but every fold, call or raise tells something about the range of hands you can have.
Most players fail to make the effort to figure out a hand range. However, every player who intends to be a long-term winner needs to know how to analyze and weight hand ranges.
Betonline Poker - #1 in the U.S
- Accepts U.S. customers with large player pool
- 10+ years with a strong reputation
- $2,500 deposit bonus
Poker Hand Combinations
How to use a poker range calculator? In order to be able to calculate a range of hands, the first thing you need to keep in mind is how many possible hand combinations there are for different types of hands:
| Hand Type | Combinations |
|---|---|
| Pocket Pairs | 6 |
| Non-Paired | 16 |
| Suited Non-Paired | 4 |
| Off-Suit Non-Paired | 12 |
So what does the table tell you?
- There are more variations of non-paired hands than pocket pairs.
For example, if you think an opponent’s hand range is 44 and 87, it’s more likely for the opponent to have 87 (16 combinations) than 44 (six combinations). - There are four combinations of suited non-paired hands and 12 combinations of off-suited non-paired hands. Knowing this makes it easier to calculate the likelihood of an opponent having a suited hand.
Using Hand Ranges in Poker
Here’s a scenario: you raise with AK-offsuit pre-flop and the opponent calls. You know the opponent calls in this situation 15% of the time. According to Equilab, here’s the top 15% of poker hands (although someone’s 15% can include different hands–for example, one might play 66 rather than KT-offsuit):
Top 15% of all poker hands (in blue). |
You have AK-offsuit, and you’d like to figure out how your hand matches up against the opponent’s hand range. So you use Equilab to calculate it and you see that AK-offsuit has 61.36% equity while the opponent has 38.64%. Sounds like a good deal for you.
Most players assume they’d do well but they have never thought their opponent’s hand range through and evaluated it against their own hand. Once you get the habit of using an equity calculator, you’ll be surprised by how much or little equity certain hands have against certain hand ranges.
Range Matrix Poker Strategy
Your idea of an opponent’s hand range changes with every decision the opponent makes. So let’s say, instead of calling your raise, the opponent decides to raise, which he does 3.75% of the time. Here’s the hand range:
Top 3.75% of all poker hands (in blue). |
Based on the opponent’s hand range, he’d now have ~57% equity. When he just calls, you’re still ahead of his hand range; when he re-raises, your AK-offsuit is in trouble.
Weighted Hand Ranges
But an opponent may play certain hands out of his hand range more often than others. For example, instead of re-raising 100% of the time with 99, he may only do so 50% of the time. Based on your reads, you assign more or less weight to a certain hand in a range of hands and, just like before, calculate how your hand does against it.
And it can make a big difference. For example, an opponent’s hand range is AA and QQ while you have KK. In case the opponent plays both AA and QQ 100% of the time in that situation, you might consider your chances of winning poker around 50%, but if the opponent plays AA 100% of the time and only plays QQ some other % of the time, your chances of winning take a hit. You’d be going against AA the majority of the time.
How to Calculate a Weighted Hand Range
So let’s say you have JJ pre-flop and you’re up against an all-in raise. You think the opponent could do this with AA, KK, QQ, AK, and AQ. How many hand combinations do you beat and how many beat you?
Hand combinations that beat you:
| Hand | Combinations |
|---|---|
| AA | 6 |
| KK | 6 |
| 6 | |
| Total | 18 |
Hand combinations that you beat:
| Hand | Combinations |
|---|---|
| AK | 16 |
| AQ | 16 |
| Total | 32 |
You beat 32 of your opponent’s hand combinations and the opponent beats you with 18 combinations. By using Equilab, we can see that your equity is 42.60%. If, however, the opponent only has AK and AQ 50% of the time (which is a relatively realistic scenario), here’s what happens:
Hand combinations that beat you v2:
| Hand | Combinations |
|---|---|
| AA | 6 |
| KK | 6 |
| 6 | |
| Total | 18 |
Hand combinations that you beat v2:
Range Matrix Poker Game
| Hand | Combinations |
|---|---|
| AK | 8 |
| AQ | 8 |
| Total | 16 |
And by using Equilab, we can see that our equity drops to about 36%. That’s a dramatic difference in the long run. which can make the difference between whether you should call or fold, which obviously depends on pot and bet sizes and how much money you and your opponent have left.
Range Matrix Poker Tournaments
Learning to weight poker hand ranges is worth your while. Weighting hand ranges gives you more accurate information about your chances in different poker situations as long as you determine the hand combinations right. Like in almost every skill game in the world, the more complicated a theory is, the harder it is to execute and the more profitable it is when executed perfectly. With a little bit of work and thinking you’ll get more accurate calculations.
How to Manipulate Hand Ranges
The basic idea of manipulating hand ranges is To make strong hands look weak and the other way around. This way we can get the most out of our hands because either the opponent likes to call when we’ve got a tight range of hands – meaning we can get the money in with a strong hand – or the opponent likes to fold when we’ve got a loose range, meaning we can get the opponent to fold when we have a weak hand.
One of the biggest problems is to recognize what strong and weak play is in an opponent’s opinion. Obviously Lisa and Bart are going to read situations differently and they’re going to end up having different ideas of who’s weak and who isn’t. Another problem is to know who’s been paying attention to the game and who has other things to focus on. You have to rely on the idea that the opponent follows the game at least semi-closely and adjusts his play optimally against your range of hands. Usually it’s easy to tell who’s following the game, though.
The third problem would be to understand how an opponent reacts to the way you play. There are different ways for players to react, obviously, since otherwise all the players would play the same way. Some make logical decisions, some don’t.
All of these points must be taken into consideration when manipulating hand ranges in poker. It’s of no use to build an image for yourself if the opponent pays no attention to the game. It might be counterproductive to build an image if the opponent reacts unlike you expected. You’ll always have to consider these points when building a player image and manipulating your range.
Common Mistakes – Being Optimistic
The biggest mistake when figuring out a hand range is to have too much optimism when making decisions. For example, always believing the best and creating hand ranges that are convenient for you is a huge mistake and misses the whole idea. It’s not just about winning; it’s also about losing the least possible. By realizing your hand range is unprofitable against an opponent’s hand range, you avoid losing money.
Giving Up
Losing is a part of poker and beating most of an opponent’s range doesn’t mean you’ll win all of the pots. You’ll lose a certain percentage of them, and you may even have an extremely unlikely run of losses but such is variance.
Other strategies
Poker Range Matrix
If you are looking for different strategies go ahead and visit our main page.