Once you have assigned them a range, you will then need to start narrowing that range down. Combinatorics is one of the ways we do this. So what is combinatorics? It may sound like rocket science and it is definitely a bit more complex than some other poker concepts, but once you get the hang of poier it will take your game to the next level.

### Poker Maths - Applied poker combinatorics - PokerVIP

Combinatorics is **combinatorics** understanding ppoker many combos each of your opponent's combinstorics holdings are and deducing their potential holdings utilizing concepts such as removal and blockers. There are 52 cards in a deck, 13 of each suit, and 4 of each rank with poker hands in total.

To simplify things just focus on memorizing **poker** of the potential combos to start:. Here is a short video example of using combinatorics to count the number of ways a non-paired hand AK can be arranged i. So now that we have this memorized, let's look at a hand example and how we can apply combinatorics in game.

### Poker combination list

He flats and we go heads up to a flop of. Our opponent is representing a polarized range here. He is either nutted or representing missed draws so we find ourself in a tough spot. This is where utilizing combinatorics to deduce his value hands vs bluffs come into play.

Now we need to narrow down his range given our line and his line. Let's take a look at how we do this So there is exactly combinatorrics combo of AA. We checked flop to add pkoer to our check call range although a bet with a plan to triple barrel is equally valid in this situation SB vs BTN and because of this our opponent may not put us on an A here.

For example — What are the hand combinations of pocket kings?

Or in how many different ways can you be dealt pocket kings? If you sort all kings from a deck and make pairs, you will find that there are six different combinations of pocket kings. There are possible poker hand combinations on the preflop. The most common hand combinations that you need to remember are as follows:.

For example, a specific unpaired hand like AK has the following combinations:. Any off-suit unpaired hand has a total of 12 combinations. For example, a specific off-suit unpaired hand like AK off-suit has the following combinations:.

### Poker Hand Combinations | Understanding Poker Combinatorics

Any suited unpaired hand has a total of 4 combinations. For example, a specific suited unpaired hand like AK suited has the following combinations:.

Jan 28, · Poker Hand Combinations: The Critical Skill Required For Hand Reading. Kelvin 'Acesup' Beattie January 28, No Comments. Poker in is as competitive as it has ever been. Long gone are the days of being able to print money playing a basic ABC strategy. We have the table of probabilities for poker hands as follows: recall that the ‘scoring’ cards are denoted x and y, the other cards are denoted a, b etc. The denominator in the probability calculation is n S = 52 5: The probabilities can be computed in Rusing the choosefunction: nS. The whole list of poker combinations by seniority in Texas Hold’em are below: Royal Flush. Royal Flush is the strongest poker combination. It includes five suited cards from ten to ace. All suits are equal in poker therefor heart royal flush equivalent spades as well as clubs and diamonds Straight Flush.Any pocket pair has a total of 6 combinations. For example, pocket aces have the following combinations:. You can quickly refer to the chart below to remember the important poker hand combinations. You should have these numbers at **poker** fingertips to do quick calculations.

There are four hands in his 4-bet range. **Combinatorics,** whenever he 4-bets, there is a higher probability that he is holding an AK. Things get a bit tricky on the post-flop.

After the flop, you know which cards have hit the board. There are two board categories when it comes to the calculations of poker combos — Unpaired and Paired Hands. So, how many combinations of an unpaired hand like AK are there? However, he can't have 16 combos of this hand any more since there is already an Ace out there.

### Poker Hand Combinations | Poker Combinatorics

To calculate the available combinations we **poker** the number of available remaining cards which make up the hand. There are 3 Aces left in the deck and 4 Kings. There are 12 combos of AK. Example 2 - The board texture is A 5 2 7 K. This should be pretty simple if the last example made sense. There are 3 available Aces, and 3 available Kings.

Example 3 - The board texture is K 7 2. How many combinations of sets does our opponent have? For pocket pairs **combinatorics** need to use a slightly different method. First count how many available cards there are to make the pocket pairs. For example, to make a set of Sevens there are 3 Sevens remaining in the deck.

### Poker Hand Combinations: The Critical Skill Required For Hand Reading

It looks complicated but is actually very simple. There are 3 cards. We multiply it by 2 to make 6. Then pokrr divide by 2. There are 3 combos of each set Kings, Sevens, Twos. There are 3 possible sets meaning there are 9 combos of sets in total here.

Or imagine there are 2 sevens out there and we want to know how often someone has made Quads. Multiply the part in brackets first poer then divide by two. Some calculations are a little more complex. For example working out how many flush-draws opponent has. On a two-tone board we know he will have 1 combo of each suited hand that can make a flush-draw.

But we obviously don't just count all possible flush-draws; **combinatorics** have to think about poker of these are actually in his range. So in most situations we can discount holdings like 2 7.

## What is poker combinatorics?

Final Note on Poker Combinatorics Keep in mind that combinatorics can not be used independent **combinatorics** frequency. A common mistake when first beginning to look at combinatorics combinattorics simply looking at which hands opponent might have rather than the frequency with which he continues.

For example, imagine a typical bluff-catch situation where we want to work poekr whether opponent has enough bluffs for us to make a profitable call. We might calculate that he has combinations of possible bluffs and only **poker** combinations of possible value-hands.

For a great training video on poker combinatorics, check out this poker combos video. In this article, I will go through the basics of working out hand combinations or "combos" in poker and give a few examples to help show you why it is useful. Poker combinatorics involves working out how many different combinations of a hand exists in a certain situation.

Russian Federation Select a country on the left to get offers. What is poker combinatorics and how it can be applied to your game? Learn a different approach to determining your opponents' ranges.

Is it a lucky hand for you? Well, there is no such thing as a lucky hand in poker.

Create Account Register Restore password. You need poker combinations for good orientation in your pocket cards and cards on flop, turn and river. Royal Flush is the strongest poker combination.

Poker in is as competitive as it has ever been. Long gone are the days of being able to print money playing a basic ABC strategy. Today your average winning poker player has many tricks in their bags and tools in their arsenals.