Poker Combination Strength

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  • Understanding poker hand strength is one of the first key concepts new players should learn and veterans should never forget. Recreational players (often called simply recs these days) miss this basic building block of Texas Hold'em, playing starting hands based on hunches, tilt, intoxication level, or personal grudges.
  • 16 possible hand combinations of every unpaired hand. 12 hand combinations of each unpaired offsuit hand. 4 hand combinations of each suited hand; 6 possible combinations of each pocket pair. There are 1326 total combinations of all hands that can be dealt pre-flop, from Aces to 3-2 offsuit.

CardPlayer.com is the world's oldest and most well respected poker magazine and online poker guide. Since 1988, CardPlayer has provided poker players with poker strategy, poker news, and poker.

Poker in 2018 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. Imagine a soldier going into the heat of battle. Without his weapons, he is practically useless, and chances of survival are extremely low.

If you sit down at a poker table without any preparation or general understanding of poker fundamentals, the sharks are going to eat you alive. Sure you may get lucky once in a blue moon, but over the long term, things won't end well.

With the evolution of poker strategy, you now have many tools at your disposal. Whether it be online poker training sites, free YouTube content, poker coaching, or poker vlogs, there's no excuse to be a fish in today's game.

Some of the essential fundamentals you need to be utilizing that every poker player should have in their bag of tricks whether you are a Tournament or Cash Game Player are concepts such as hand combinations (Also known as hand combinatorics or hand combos).

Hand Combinations and Hand Reading

If you were to analyze a large sample of successful poker players you would notice that they all have one skill set in common: Hand Reading

What does hand reading have to do with hand combinations you might ask?

Well, poker is a game of deduction and to be a good hand reader, you need to be good at correctly ranging your opponents.

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 combinatorics it will take your game to the next level.

Combinatorics is essentially understanding how many combos each of your opponent's potential 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 1326 poker hands in total. To simplify things just focus on memorizing all of the potential combos to start:

  • 16 possible hand combinations of every unpaired hand
  • 12 combinations of every unpaired offsuit hand
  • 4 combinations of each suited hand
  • 6 possible combinations of pocket pairs

Here is a short video example of using combinatorics to count the number of ways a non-paired hand AK can be arranged (i.e. how many combos there are):

So now that we have this memorized, let's look at a hand example and how we can apply combinatorics in game.

We hold AQ in the SB and 3bet the BTN's open to 10bb with 100bb stacks. He flats and we go heads up to a flop of

A 5 4

We check and our opponent checks back with 21bb in the middle

Turn is the 4

We bet 10bb and our opponent calls for a total pot of 41bb

The river brings the 9

So the final board reads

A 5 4 4 9

We bet 21bb and our opponent jams all in leaving us with 59bb to call into a pot of 162bb resulting in needing at least 36% pot equity to win.

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...

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Blockers and Card Removal Effects

First, let's take a look at the hands we BLOCK and DON'T BLOCK

Since we hold an Ace in our hand and there is an Ace on the board, that only leaves 2 Ace's left in the deck. So there is exactly 1 combo of AA.

We BLOCK most of the Aces he can be holding, so we can REMOVE some Aces from his range.

We do not BLOCK the A as we hold AQ, and the A on the board is a spade, so it is still possible for him to have some Axhands.

We checked flop to add strength 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.

If he is a thinking player his jam can exploit our thin value bet on the river turning his missed straight/flush draws into a bluff to get us to fold our big pocket pairs and even make it a tough call with our perceived weak holdings.

The problem in giving him significant credit for this part of his bluffing range is the question of would he really shove here with good SDV (Showdown Value)?

These are the types of questions we must ask ourselves to further deduce his range along with applying the combinatoric information we now have.

Now, let's look at all the nutted Ax hands our opponent can have.

If he has a nutted hand like A4 or A5, and we assume he is only calling 3bets with Axs type hands, the only suited combo of those hands he can have are exactly A5. He can't have A5 or A4 because the 4 and the 5 are both diamonds on the board blocks these hands.

Lets take a look at all of this value hands:

There is only 1 combo of 44 left in the deck, 2 combos of A9s, 3 Combos of 55, 3 Combos of 99, 2 Combos of 45s - some of these hands may also be bet on the flop when facing a check.

So to recap we have:

1 Combo A5s, 2 Combos of A9s, 3 Combos of 55 (With one 5 on board, the number of combinations of 55 are cut in half from 6 combos to 3 combos), 1 Combo of 44, 2 Combos of 45s, 3 Combos of 99

Total: 12 Value Combos

Now we need to look at our opponent's potential bluffs

Based on the villain's image, this is the range of bluffs we assigned him:

KQ(1 Combo), JT(1 Combo), T9(1 Combo), 67s (4 Combos)

He may also turn some other random hands with little showdown value into bluffs such as A2/A3

Total: 9 Bluff Combos

9(Bluff Combos) + 12(Value Combos) = 22

9/21 = 42% of the time our opponent will be bluffing (assuming he always bets this entire range)

11/21 = 58% of the time our opponent will be value raising

Now, this is the range we assigned him in game based on the action and what we perceived our opponents range to be.

We are not always correct in applying the exact range of his potential holdings, but so long as you are in the ballpark of that range you can still make quite a few deductions to put yourself in the position to make the correct final decision.

According to the range we assigned him, he has 11 Value Combos and 9 Bluff Combos which gives us equity of 42%. This would result in a positive expected value call as we only need 36% pot odds to call.

However, unless you are playing against very tough opponents you will not see someone bluffing all 9 combos we have assigned - most likely they will bluff in the range of 4-6 combos on average which gives equity in the range of 20-30% equity. This is not enough to call.

We ultimately made our decision based on the fact that we felt our opponent was much less likely to jam with his bluffs in this spot. Given that it was already a close decision to begin with, we managed to find what ended up being the correct fold.

Now this all may seem a bit overwhelming, but if you just start taking an extra minute on your big decisions you'd be surprised how quickly you can actually process all this information on this spot.

A good starting point is to simply memorize all of the possible hand combinations listed above near the beginning of the article.

Get access to our 30-minute lesson on Combinatorics and PokerStove by clicking on one of the buttons below:

Conclusion On Combinatorics

Eventually accounting for your opponent's combos in a hand will become second nature. To get to the point that , a lot of the work needs to be done off the table and in the lab. As you spend more time studying it and reviewing hand histories like the one above, you will find yourself intuitively and almost subconsciously using combinatorics in your decision making tree.

But the work will be worth the effort, as being able to count combos on the fly will add a new dimension to your game, allow you to make more educated decisions, become a tougher opponent to play against and move away from playing ABC poker.

Want more content like the ones in this blog post on poker combinatorics? Check out our Road to Success Course where we have almost 100 videos like this to help take your game to the next level. You can also get the first module of the Road To Success Course for Free - for more details see the free poker training videos page by TopPokerValue.com.

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Poker combinations are important. Poker, as we all should know by now, is a game of skill and luck.

Fate and the dealer decide what cards you start off with, and that can make the difference between winning and losing a game.

There are 52 cards in a deck, which means that you can get up to 169 different combinations for your starting cards.

The cards you are dealt at the start do not make or break your game, but they play a huge role in defining how you progress.

We look at the best poker combinations of cards which you should be looking out for if you want to win big in poker.

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Aces and Kings

Probably the best starting poker combinations you could game are a pair of Aces or Kings, irrespective of the suit.

The chances of someone getting a pair is exceptionally remote but if you do get such a pair always think about raising the pre-flop.

A word of caution though, these hands are tough to beat but are not unbeatable.

Also, if you are playing with a couple of Kings, there is the possibility of someone playing with a couple of aces, so always tread carefully.

poker combinations: Queens, Jacks and an Ace-King pair

The next highest possible poker combinations are also based on the highest cards.

Again getting a Queen pair or a jack pair is extremely rare but the chances of winning a hand significantly increase.

Of course, they can still be beaten if the right moves are made but this is a strong hand to play with.

The Ace-King pair is another strong hand to think about.

This combination works well and gives you a lot of opportunities to make strong hands.

This isn't as strong as a starting pair of high cards, but it is a good bet for a win at the table.

Ace-Queen, Ace-Jack

The next best poker combinations to start a poker game with is the Ace-Queen pair.

This is similar to the Ace-King pair but has a few limitations since the Queen card is ranked lower than the King card.

The Ace-Jack combination ranks below the Ace-Queen pair.

All the above pairs are made in the same suit, except in the case of a pair of cards which are of similar value.

Always the need to have same suit cards trumps cards of the same value.

So a Jack-Ace of the same color will trump, a Jack-Ace of different colors.

While these cards will undoubtedly play a huge role in deciding who wins a game.

It isn't the end of the world if you are not dealt the above pairs.

There are many other ways to ensure you end up winning the game and we look at some of the best combinations of hands possible in the game of poker.

You might need to be a little sly in hoping that you get these cards from the dealer, but if you get the following combinations, you are guaranteed to win the game or at least do well.

Card Combinations Poker

Winner winner, chicken dinner!

Playing your way through the game is not easy but having the following hands will undoubtedly ensure victory and a nice amount of money for you to win.

Some of these hands are guarantees to win while some would require you to do some bluffing.

So without further to do, here are the best poker combinations you could have in a game of poker.

The Royal Flush

Royalty is vital in the game of poker and having a ‘Royal Flush' is the best possible poker combinations of cards you could have after all the cards have been given to you.

A Royal Flush consists of the Ace, King, Queen, Jack and 10 of the same suit.

Nothing can beat this hand in a game of poker.

Straight Flush

Almost the next best thing to the Royal Flush, having 5 cards which are in a consecutive rank, for, eg, 5,6,7,8 and 9 of diamonds.

In case two players have a straight flush, the one with the higher denomination of cards wins.

Four of a kind

As the name suggests, having 4 cards of the same rank, high-value cards of the same rank will beat cards of a lower value.

Full House

Having three cards of the same rank and two other cards of a different rank.

In case of a tie, the highest ranking three cards of a player win the game.

Flush

This happens when a player has five cards which are of the same color but are not in any specific order.

This can include high cards with low-value cards.

Poker combinations strength against

Three of a kind

Having three cards which are of the same rank/strength, and two cards which are of a different color or unrelated side cards.

Two pair

Having two pairs of cards which are of the same value; for example, having two 10's and two 6's in hand.

One pair

In this hand, two cards must have the same value; and the other three cards can be of any other denomination.

High card

Just having one high card in hand should win you the game. In case any of the above hands don't take place.

So there you have it, the best starting poker hand combinations which can set you out for glory. And the best possible hand combinations at the end of the game before you go on to bet and win.

Remember, poker isn't an easy game to pick up; there will always be a lot of people who try different tactics to get a slight edge.

Poker Combinations Strength Chart

While having a Royal Flush in your hand is a guaranteed win; the other options aren't.

Poker Combinations Strength Against

You need to keep your wits about it. And one way of doing it is by practicing and keeping yourself informed.

Poker Combinations Strength Games

Also, you should use a few tools to aid your game like poker calculators and odds calculators. They might not help you out in the table games, but will help you make decisions faster and help solve tables better.





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