Texas Holdem Regler All In

Poker is a lot like sex. Everyone thinks they are the best, but most don’t have a clue what they are doing. — Dutch Boyd

1. Texas Holdem Regler All Inclusive
2. Texas Holdem Regler All In-one
3. Texas Holdem Regler All Inclusives

It is very true, but hopefully by and reading our Texas Holdem Strategy section you will at least have a clue how to do well at one of them!

One of the great benefits of poker is that it is quite easy to learn the basics. The rules are quite simple and allow easy access for beginners. However, on the other hand, it is a tough game to master; there’s always something to improve upon or learn.

The basic strategy below should provide you with the groundwork for developing a dominant poker game. We link to some more advanced material throughout for anyone that is further ahead of the trend.

Texas Hold'em No-limit and pot-limit games, without exception. In limit games, when there are three or more players involved and all players have not gone all-in, games with two betting rounds (draw or lowball) will allow a bet, plus four raises. In a game which involves three or more betting rounds, the maximum raises allowed are three. The only tricky part of a tie breaker with four of a kind is when the four falls on the table in a game of Texas Holdem and is therefore shared between two (or more) players. A kicker can be used, however, if the fifth community card is higher than any card held by any player still in the hand, then the hand is considered a tie and the pot is. Texas Holdem poker rules are very easy to understand but very difficult to master and perfect it. Texas Hold’em Poker can be played both online and offline and a lot of cash can be won by winning the game. In India, conducting poker tournaments is illegal and would be held accountable except in Goa and a few other places. But, playing poker.

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Table Of Contents

• Preflop Texas Holdem Strategy
  • Starting Hand Types
• Postflop Texas Holdem Strategy
• Texas Holdem Strategy: Betting and Raising

Preflop Texas Holdem Strategy

Your preflop poker strategy forms the foundation of your game. Your first decisions will be made preflop during a hand, so it is important to get these decisions right. Thankfully this is one of the easier areas of the game to understand.

So to help you understand let’s take a quick example (click the picture to see the full replay):

We have JTs (J = Jack, T = Ten and the ‘s’ after JT means both cards are of the same suit. An ‘o' after the JT would refer to off-suit)in the first position under the gun (UTG) on a six-handed table with $1/$0.5 BB and SB. We have to decide what to do: we can raise, call (otherwise known as a limp) or fold. There are a huge number of factors which we need to take into account, and unfortunately, I won’t be able to cover them all. But I will try to cover the most fundamental factors in the coming paragraphs.

Firstly, it is very common to see new players play too many hands. They believe that they can outplay their opponents post-flop and turn a profit even with the weakest hands. This belief isn’t the case and often is the main reasons a new player loses money when starting out.

Only Play A Small Percentage Of The Hands You are Dealt

Thus the first preflop poker strategy tip is to play only a small percentage of the hands you are dealt – the type of hands to play will be discussed further on in the text. Players who play a small selection of the hand they are dealt are referred to as tight. Conversely, players who play lots of hands are known as loose.

The vast majority of winning poker players are relatively tight, and for the most part, losing players are loose. Therefore, the first important poker strategy tip:

Preflop Poker Strategy Tip 1: Only play a small percentage of the hands you are dealt.

Luckily, JTs is in the top 12% of hands and therefore is a hand we would want to continue with, in this case. We can determine ‘how strong' a hand is using a program called Equilab. So our options are now to raise or to call because our hand is too strong to fold.

This result leads onto a second reason new players are unsuccessful – frequent limping

Limping is defined as calling the big blind instead of raising or folding. For example, you are first to act after you have been dealt two aces (AA) or like our example with JTs and instead of raising, you just call – this is called a limp.

Limping: Flawed Reasoning

Often, new players limp to see a cheap flop with speculative hands or to trap with strong hands such as AA or KK. Good winning players very rarely limp and there are many reasons why:

1. You give the other players a chance to beat you with their weak holdings. For example, if you limp with AA and your opponent in the big blind checks behind he will have a chance to outdraw you to three of a kind or two-pair. Do not give people a free chance to improve and beat your strong hands.
2. Raising with good hands builds the pot. A big hand deserves a big pot! Typically the only way you will win an opponent’s whole stack (all of their chips) is by raising preflop; winning their entire stack is what you want when you have AA or KK, right?
3. It allows you to better understand what your opponent may have. If we limp in and our opponent is in the big blind, he could have every possible hand; however, when we raise our opponent will fold some of the worse hands and the type of hands he can have become more defined. Experienced players use this to their advantage.
4. Playing speculative hands (hands which could potentially, but infrequently win a big pot) such as 64s (s = suited, o = offsuit) and T2s just is not profitable in the majority of cases, whether you raise or limp, and no matter how good you are at poker.

Preflop poker strategy Tip 2: Never limp preflop

Example: JTs Under the gun

Since limping (i.e. just calling) is not an option our only option is to raise. That poses the question of how much? In this case, we will raise to 3x the BB, so $3 and one player calls our bet as shown. We will cover the reason we use 3x later in the article.

Three times the BB is a standard raise size which we will go into later in this article under the heading “Texas Holdem betting strategy”. But first, a little more on aggression to drive home the point:

You should only raise or fold your hands when first entering the pot. However, calling with some hands after someone else has raised is fine. There are some situations where open limping is a good idea but they are so few and far between that never limping is a good starting preflop poker strategy – especially for a beginner.

This leads to another generalization of how people play poker:

Aggressive vs. Passive

In poker, an aggressive opponent is a player who bets and raises frequently. A passive opponent is a player who calls and checks often and very rarely bets or raises.

Aggression is one of the keys to success in poker for one simple reason: When you bet or raise, you have two ways to win the pot – either your opponent folds or you get to showdown with the best hand.

Unfortunately, when a player is passive there is only one way to win the pot – by having the best hand. This difference is hugely important and is the reason all big winners are aggressive poker players; while most losing poker players are quite passive.

Preflop poker strategy Tip 3: Take the initiative and be aggressive. Bet and raise your strong hands frequently and don’t rely on others to do the betting for you!

The four playing styles

In total there are four player styles:

1. Tight-Aggressive (TAg) – This player type which makes up the majority of the winning player pool. They wait for strong hands and bet and raise them hard, punishing other players who play weaker styles.
2. Loose-Aggressive (LAg) – successful loose aggressive players are few and far between. They play lots of hands and play them very aggressively. It is a tough style to play but also a tough style to combat!
3. Tight-Passive – this player type does not play very many hands and when they do the play them by calling and checking frequently. These players lose their money slowly but surely.
4. Loose-Passive – these player types just don’t like to fold. Loose passive players play lots of hands – sometimes over 50% of the hands they are dealt. They are the complete opposite of tight-aggressive. This player type is the biggest loser and where the big winners make their money.

So what hands should you play? That is a difficult question to answer since it depends on many factors – what position you are in, how many opponents are on the table, how likely your opponents are to raise, the equity of your hand, how many BB you have and how many hands you have been raising recently.

Starting Hand Types

However, there are some basic starting hands that you should almost always be playing:

Premium Hands

There are very few premium hands in poker but when we do get these hands we should be trying to build a pot as big as possible and as quickly as possible. These hands are:

AA, KK, QQ, JJ, and AK – the top pocket pairs and Ace-King. AK is considered to be a powerful hand because:

• It dominates all other strong non-paired hands (e.g. AQ and KQ),
• Against a pair, it's nearly a coin flip with approximately 45% pot equity (will win the pot 45% of the time if we are to go all-in preflop)
• It blocks AA and KK which are the only two hands which have a significant equity advantage.

These hand should always be raised and often re-raised to begin building the pot.

Strong Hands

Strong hands are hands you should also always be raised when first entering the pot. These hands should be called when someone has already raised before you. These hands include:

AQ, AJ, AT, KQ and 99-TT. Large suited and connected hands such as QJs, JTs, are also considered strong hands. Suited hands derive their strength from being able to make flushes. However, do not overestimate the value of suited hands. Don’t play a hand just because it is suited. The value of a hand is derived from the combination of the ranks of the two hole cards. Example: AQ is much stronger than Q5, AQ is still much stronger than Q5 suited.

Preflop poker strategy tip 4: Do not overestimate the value of ‘suitedness.' Evaluate the strength of the hand from the rank of the two hole cards.

Medium Strength Hands

You need to be careful of this hand type. These hands can make you a big winner if correctly played, but when incorrectly played can cost you lots of chips. These hands include:

KJ, KT, QJ, JT and 22-88. Medium suited connectors such as 87s are also considered to be medium-strength hands.

You will play different hands from various starting positions. Details on this require a separate section – for more on the differences in the positions read position is king which will provide a “beginners starting hand chart.

Summary Of Preflop Texas Holdem Strategy

In summary, preflop you should:

1. You should play a small percentage of the hands you are dealt.
2. Never limp.
3. Take the initiative and be aggressive. Raise and Reraise your strong hands frequently and don’t rely on others to do the raising for you!
4. Do not overestimate the value of ‘suitedness.' Evaluate the strength of the hand from the rank of the two hole cards.

If all you take from this section is these four points you will still have significantly improved your chances of winning.

For a summary of preflop poker strategy see the video below:

https://www.youtube.com/watch?v=UNgcJ4AmjGA

Postflop Texas Holdem Strategy

Once you understand right preflop Texas Holdem strategy, the postflop poker strategy becomes significantly easier. When you play weak hands from poor positions poker is quite difficult; nobody likes to play Q7 from out of position (Out of position means you act first, so your opponent will have more information than you)! However, if you play only a narrow range of hands from good starting positions, as is recommended, poker will become a much simpler prospect.

Postflop, there are many factors which we must take into account before we make a decision. The number of variables makes each decision quite complicated for a beginner. However, there are a few guidelines and concepts which can be understood which will help you in the decision-making process.

Postflop Poker Strategy – The Basics

One of the most important considerations is if we are in position (IP) or out of position (OOP). We will cover this in more detail in Position is king.

Secondly, we should be considering what our opponent may be holding. Does our opponent have only strong hands if he is a tight player? Does he play lots of hands meaning his ‘range’ of hands will be quite weak? See more on how to hand read.

A whole book could be written on hand reading, so I won’t go further into it. But it is important as a new player to begin thinking about what your opponent may have. Do not only consider the hand you are holding.

Postflop poker strategy Tip 1: Always consider what your opponent could be holding.

Next, we should consider the board texture. For example, is the board likely to have improved your hand or your competitors? Is the board likely to change very much on the turn or river? These considerations will be detailed further on in this guide.

Another consideration is how many players made it to the flop. If the flop is heads up (only you and your opponent) the strength of each hand is much better than if five or even six people made it to the flop. The more players that see the flop, turn, and river the less likely you are to win a showdown with a weak holding such as one pair. For more information on the differences between multiway and heads up pots, head over to pokernews.com.

Postflop poker strategy Tip 2: The more players there are in the hand, the less likely you are to win and the weaker your holding.

Finally, we need to consider how many chips are in the pot, how much we have left behind in our stack and how many chips our opponent has.

After these considerations, we can make a decision on how we are going to proceed in the hand.

So first let’s have a look at board texture:

Postflop Poker Strategy: Notation

Before we discuss post-flop poker strategy and board composition in detail, we need to make sure the notation is clear to everyone.

In some cases, pictures will be used to show board textures, but often just text will be employed. When describing the board with text (i.e. letters and numbers), each card rank is represented by either its number or the first letter of its name. To take an example, the board:

This texture is described by 5♥ K♣ 5♦ and is often shortened to 5hKc5d. It is sometimes shortened further to 5K5r. Here the ‘r’ means rainbow (the flop is all different suits). When the flop has a flush draw (i.e. not a rainbow board) the board could be represented by 5K5s. Here the ‘s’ represents suited.

There are many types of boards, but in general, they can be broken down into two types: dry board textures and wet board textures.

Dry Board Texture

Dry board textures are ones which the players in the hand are less likely to have connected with the community cards. Also, dry also means a board which the strength of your holding is unlikely to change over the course of the hand.

Examples of dry board textures are:

Why are these boards considered dry? Well on the K55 board there are not many hands that will change the strength of your opponent’s or your holdings. If for example, you held KQ, then the only way your opponent can now beat you is if he has:

Well on the K55 board there are not many hands that will change the strength of your opponent’s or your holdings. If for example, you held KQ, then the only way your opponent can now beat you is if he has:

If for example, you held KQ, then the only way your opponent can now beat you is if he has:

• An Ax (e.g. Ace-Queen or Ace-Seven) hand and hits an ace on the turn or river.
• A pocket pair such as 77 which hits his set on the turn or river (unlikely).
• A hand such as QJ which hits a runner-runner straight (two cards in a row – for example, the turn is a Ten, and the river is an Ace resulting a straight Ten to Ace) or runner runner full house (two Queens or two Jacks).

The most important factor is that neither of these two board has many straight-draw or flush-draw possibilities. The lack of draws means that if you have a hand like A5 on the K55 board or 44 on the 742 board you are very unlikely to be beaten by your opponent if he is behind on the flop.

Additionally, dry flops are inherently difficult to hit and hence makes continuation betting as the pre-flop raiser (you raised first, and someone called your raise) especially useful on dry boards. Continuations bets will be detailed further on in this section.

Wet board texture

On the other hand, wet board textures are boards where the board is very likely to change over future streets.

Looking at the QT9s board, there are many cards which will modify the strength of many hands. If we have AQ or TT on this board we have a strong hand; but on many turn cards such as a K, J, 8 or any heart, the strength of these hands will significantly degrade. Also, there are many hand types that your opponent may have hit this board with:

• Any 8 or K is an inside straight draw (4 cards will complete the straight).
• Any J is an open-ended straight draw (8 cards will make a straight)
• The majority of opponents plays Queens, Tens, and Nines.

Therefore, your opponent is likely to continue with a large proportion of his hands on this board.

We can directly translate all these points to the 432s board; except for the last as this board has cards of lower ranks. On the 432s board, however, every Ace has an inside straight draw. Aces will be played quite frequently by most opponents.

Every other board type will be somewhere in between the dry K55r and the wet QT9s. Understanding how wet or dry a board is and adjusting your strategy correctly is the key skill at play in this scenario. For more information on board textures, see this excellent article.

Continuation betting

A continuation bet, as its name suggests, is when you follow up on your previous aggressive action with another bet. For example, you raise pre-flop and then continue to bet on the flop. Continuation bets are extremely useful postflop poker strategy for two reasons:

1. It is tough to connect with most board types; therefore player who bets first will often win the pot
2. The player who last raised pre-flop will typically have the strongest hands; thus will get the benefit of the doubt when he bets again.

The rate at which you continuation bet should be, on a very basic level, determined by the wetness of the board.

The dryer the board, the less likely your opponent hit and therefore the more often we will want to bet so that we can take down the pot.

But we should also be more prone to bet when we have a chance to win the pot when called. In other words, we have pot equity in the form of a draw or overcards.

Postflop poker strategy Tip 3: The dryer a board texture, the more likely we are to win the pot by continuation betting (cbet).

Example 1: A Good Spot To CBet

So let’s take a few examples of good examples of continuation bets. Continuation from our previous example of JTs from UTG (click the picture to see the full replay):

We opened to 3bb from UTG and got one call from the Button. On the flop of 9h7s3s, we have an inside straight draw and two overcards. This board is ranked medium for wetness and how the opponent connects; our opponent can have a few straight and flush draws as well as top pairs.

JTs is a good hand in this situation as we can make robust pairs on the turn and river and also can make the nut straight. Thus this is a good spot for a cbet as a bluff. We expect him to fold hands which are better than ours. However, if he does continue, we have a good chance of making a stronger hand with a J, T or 8.

We should keep bluffing to a minimum when playing small stakes and especially at play money poker. But in this case, it is almost a perfect situation for a bluff.

Example 2: Another good spot to CBet

Another situation for a good cbet is below:

We raised with 22 from the Button and got two callers from the SB and BB. Both check to us on the flop. This situation is a clear spot to value bet (value betting and bluffing are discussed in the next section). The flop is relatively wet, and two players can draw out us with straights and flush draws. Therefore, we want to charge them to see them next card.

Also, we have a robust hand (the second or third strongest depending on whether our opponents will re-raise KK preflop). We can get lots of value and win a big pot by betting; thus this is an excellent spot for a value bet.

Cbetting for value is a fundamental aspect of our postflop poker strategy and is one of the primary sources of profit at small stakes. Ensure you understand and utilize continuation betting fully by reading our in-depth article.

Example 3: A bad spot to Cbet

Below is a dangerous situation to continuation bet:

We raise a limper with 98s and get a call from the BB and the player who limped. The flop is terrible for us as we have a small amount of equity and this board is likely to have hit one of our opponents. Thus it is not a good spot to continuation bet (cbet), and we should check behind and fold to any future bets.

Postflop poker strategy Tip 5: Do not cbet on board textures where your opponent is likely to call, and you have little chance of improving on later streets

Continuation bets can also apply to the turn and the river. For example, we refer to betting the flop, turn and river as a continuation bet.

Continuation bets are how a significant proportion of your winnings will be generated at small stakes and free money poker. People often give up when they do not hit anything so take advantage of this fact.

Stack sizes

The number of chips you have bought in for or currently have on the poker table is known as ‘stack depth.'

If you are playing ‘short stack’ poker, it means you are not playing with very many chips on the table – for example, 40bb. We do not recommend shallow stack play. Shallow stack poker means we have fewer chips on the table and hence we can win fewer chips from the weak poker players at the table.

Conversely, deep-stacked play means you have a lot of chips at the table – e.g. 200bb deep.

The shallower your stack depth, the more likely you should be to go all in. In poker terms going all-in is called ‘stacking off.'

Stack depth has a profound effect on your preflop and post-flop poker strategy so ensure you are aware of your stack depth at all times.

For example, it would be appropriate to allow yourself to get all in with post-flop with top pair good kicker such as KQ on K72 if you had a stack depth of 40bb; however, not if you had a stack depth of 100bb or greater.

Postflop poker strategy tip 5: The greater your stack depth, the stronger a holding you need to stack off. Always be aware of your stack depth before entering a pot.

Before playing a hand pre-flop, you should be checking the stack depth of you and your opponents. Checking stack depth ensures you understand how many chips are at play.

One mistake often made by new players is not considering effective stack size: if you have 100bb and your opponent has 40bb then the effective stack size is 40bb; this is because your opponent can win no more than 40bb from you. Hence your effective stack size can vary from hand to hand, and you must adjust your post-flop poker strategy accordingly.

For a summary of post-flop strategy see this video below:

Texas Holdem Strategy: Betting and Raising

Betting is the fundamental aspect of poker which makes it an exciting game to play. The ability to wager money as a bluff inducing your opponent to fold is one of the biggest selling points of the game; it is the first thing people think of when discussing poker!

But it's not all about bluffing as Hollywood has led you to believe. A lot of a winning Texas Holdem strategy just involves getting your bets in when you have a better hand than your opponent.

Poker betting strategy: reasons to bet

There are three reasons why one would want to bet:

1. For value – to get worse hands to call meaning we will win a bigger pot. For example, you value bet AK on an Ace high board (such as A72) to get AQ, AJ, etc. and worse pairs to call.
2. As a bluff – to get better hands to fold so we can win the pot with a poor holding. For example, you may be QJ on the A72 board to get hands such as non-paired Kings (KQ, KJ) to fold.
3. As a semi-bluff – A semi-bluff is much like a natural bluff only that when we are called we will still have a good likelihood of winning the pot. With a semi-bluff, we have a lot of pot equity. An example of a semi-bluff would be betting or raising with a flush draw: a weak non-made hand which has the potential to make a robust hand. See more information on semi-bluffing.

Before betting, consideration should be made as to why a bet is being made. Can worse hands call our bet and provide us with value? Can we get better hands to fold? If neither is the case, you typically shouldn't be betting. This concept is integral to correctly implementing a solid poker betting strategy.

Poker Betting Strategy Tip 1: Always consider when betting, will your bet either get your opponent to fold a better hand (bluffing) or call with a worse hand (value betting).

This concept can difficult to grasp as a new player. But generally, you should be just betting with your strong hands; and if you are playing small stakes or especially free poker, keep bluffing to a minimum. People at low stakes or even play money poker do not fold; thus bluffing at these stakes is a complete waste of money.

Poker betting strategy: Bet sizing

Bet sizing is one of the most complicated parts of NLHE and is one of the most challenging aspects to grasp for a new player. For simplicity sake there a few rules to stick to which won't lead you too far wrong:

1. Preflop raise to 3 times (3x) the BB with all hands you are opening. Do not vary your bet sizing depending on your hand strength. Changing your bet sizing based on your hand strength is a sure-fire way to let your skilled opponents what you are holding.
2. The same applies when re-raising another player preflop, make your raise three times the initial raise. For example, a player in a 100Nl game might open to $3. In that case, when you re-raise him with your strong holdings such as AA or KK, make it $9.
3. Postflop bet between 1/2 and full pot size bets. That means that if on the flop, the pot is $10 you should be betting between $5 and $10. Any smaller than that and your opponent can easily call with a lot of hands. Allowing your opponent to call with lots of hands means you miss value with strong hands; also, your opponent isn't likely to fold when you are bluffing. This is a bad result either way!

For a more advanced guide on poker bet sizing see: Pokerlistings.com

A big mistake new players often make is using the same bet size as the pot grows on each street. For example: betting 5$ into a $10 pot on the flop and then betting $5 into a $20 pot on the turn. Your bet sizes should be relative to the pot! As the pot grows so should the size of your bet. Think fractions, not dollar amounts!

Poker Betting Strategy 2: As a general rule always raise at least three times the previous bet or raise. When betting post-flop bet between 1/2 to a full pot-sized bet.

These bet sizing rules aren't optimal; they are approximations. However, they should provide you with solid groundwork to get you off to a good start in your poker career.

Once you begin to understand the merits of betting and raising and develop a more comprehensive poker betting strategy you can start to see when it is appropriate to deviate from these rules.

See this video on value betting for more information.

Further Reading

That's it for Texas Holdem Strategy. If you are really keen on learning poker quickly, we would suggest you check out our home page for more information to accelerate your poker learning.

There is still a lot to learn so here are some further reading:

Common poker mistakes.

Or return to poker 101?

Last updated: 26 October 2020

Is poker a game of skill or chance? This question has been discussed and
argued in many places and is the center of the arguments for and against
legalizing Texas holdem and other forms of poker in many places, including
online.

The answer to this question boils down to the mathematics behind the game. If
the math shows one player can win more often than another based on the
mathematical and statistical truths about Texas holdem then the game is one of
skill.

Let’s look at a few facts before moving on.

• Fact 1

  Texas holdem is played with a deck of 52 playing cards, consisting of
  the same four suits, and 13 ranks in every deck. You know each deck has an
  ace of spades, and ace of hearts, an ace of clubs, and an ace of diamonds.
  The same is true for kings, queens, and all of the ranks down through twos.

• Fact 2

  Over a long period of time each player will play from each position at
  the table an equal number of times. In other words, each player will play in
  the small blind, the big blind, under the gun, on the button, etc. an equal
  number of times as other players. If you take two individual players it
  might not be 100% the same, but it’ll be close. When you take thousands of
  players and average their times played in each position mathematically they
  each play the different positions an equal number of times.

• Fact 3

  The rules in each game are the same for every player at the table.

• Fact 4

  The player that starts the hand with a better two card starting hand
  wins the hand more often than the player with a worse hand. This has been
  proven by computer simulations that run millions of hands and consider every
  possible outcome.

Why Is This Important?

The reason all of this is important to Texas holdem players is that you can
use all of this math to help you win.

Though there are thousands of possibilities on every hand of Texas holdem,
you can use the fact that everything is based on a set of 52 cards to predict
outcomes and possibilities at every stage for every hand.

If you start the hand with two aces as your hole cards, you know that the
remaining 50 cards in the deck only have two aces. The remaining 48 cards
consist of four of each rank below the aces. At the beginning of the hand you
don’t know where any of the other cards are located, but as the hand progresses
you learn where some of them are located.

Continuing with the example, if the flop has an ace and two fours, you hold a
full house. You also know the only hand at this time that can beat you is four
fours. Because two fours are on the flop, the number of times a single opponent
has the other two fours is 1 in 1,326 hands. This is such a small percentage of
the time that you always play the full house in this example as if it’s the best
hand.

How do we know the number of times the opponent has the other two fours?

Because two fours are on the flop, let’s say the four of hearts and the four
of diamonds, so you know that your opponent has to have the four of clubs and
the four of spades. The chances of the first card in their hand being one of
these two cards are two out of 52. If they get one of them as the first card
that leaves the single other card they need out of 51 unseen cards, or one out
of 51.

You multiply two over 52 times one over 51 and this gives us the 1 out of
1,326 hands.

Basic Texas Holdem Math

Texas Holdem Regler All Inclusive

Some of the math we discuss on this page can be complicated and the truth is
some players won’t be able to use it all. But that doesn’t mean they can’t be
winning Texas holdem players. The math covered in this section forms the
building blocks for the advanced math covered lower on the page.

Every Texas holdem player can use the basic math included in this section,
and if you aren’t using it yet you need to start right away.

Starting Hands

At the most basic level of Texas holdem everything starts with your starting
hand. As we mentioned above, mathematically the player who stars the hand with
the better starting hand wins more than the player with the inferior hand.

This means the first math lesson you need to learn and start using is to play
better starting hand on average than your opponents. While this can get
complicated, especially in games with many multi way pots, you still need to
learn how to play better starting hands.

If you take nothing else from this page, if you simply tighten up your
starting hand selection it’ll immediately improve your results.

Position

It’s difficult to directly relate position to mathematics, but the main thin
to know is the later your position, the better your chances to play in a
positive expectation situation. We’ll discuss expectation in a later section,
but it’s important to understand that having position on an opponent is a strong
advantage that equates to a mathematical advantage over the long run.

Outs

One of the most important skills Texas holdem players need to develop is the
ability to determine the number of outs, or cards remaining in the deck that can
complete the hand they’re drawing to. You use this information to determine your
chances of winning the hand as well as to determine the pot odds. Pot odds are
discussed in the next section, but they show you whether or not a call is
profitable in the long run when an opponent makes a bet.

We can determine how many outs you have because we know what’s in the deck
and what we need to improve our hand. If you have a king, queen, jack, and 10
after the turn you know any of the four aces or four nines complete your
straight.

This means you have eight outs. You’ve seen six cards, so the deck has 46
cards remaining in it. Don’t make the mistake of thinking about the cards that
have been folded or your opponent holds. You haven’t seen these cards so any
unseen card is still considered a possible river card.

In other words, on average, if you play this situation 46 times you’re going
to complete your straight eight times and not complete it 38 times.

You should always consider how many outs you have in every situation while
playing. B knowing your outs you have another piece of information that can help
you make profitable decisions throughout the hand.

Pot Odds

The next question many players ask after they learn how to determine their
out sis how they can use this information to make more money at the table. This
is where pot odds come into play.

Pot odds are simply a ratio or comparison between the money in the pot and
the chances you have of completing your hand. You use this ratio to determine if
a call or fold is the best play based on the information you currently have.

If you consider the example in the last section concerning the straight draw,
you know that the deck holds eight cards that complete your straight and 38
cards that don’t. This creates a ratio of 38 to 8, which reduces to 4.75 to 1.
You reduce by dividing 38 by 8.

The way you use this ratio is by comparing it to the amount of money in the
pot and how much you have to put into the pot. If the pot odds are in your favor
it’s profitable to call and if not you should fold.

If the pot has $100 in it and you have to make a $10 call the pot is offering
10 to 1 odds. You determine this the same way as above, by dividing $100 by $10.

If you’re in the situation described above of drawing to a straight on the
river you can see that a call is correct because the pot is offering 10 to 1 and
you have a 4.75 to 1 chance of winning.

On the other hand of the pot has $100 in it and you have to put $40 in to see
the river the pot is only offering 2.5 to 1 odds and your chances of hitting
your straight are still 4.75 to 1 so you should fold.

Pot odds can get complicated, especially when you start considering how they
work when you’re determining the correct play with both the turn and river to
come.

Fortunately charts are available to quickly check the odds of hitting your
hand based on how many outs you have. We’ve included one next so all you have to
do is determine your outs and compute the odds the pot is offering. Then compare
the two to see if it’s profitable to call or fold.

Expand Shrink

When you’re determining your pot odds for the turn and river you determine
them on the turn and then if you don’t hit your draw you determine them again on
the river. This often happens, especially in limit Texas holdem. But if an
opponent moves all in on the turn you simply use the turn and river combined
odds in your decision.

Advanced Texas Holdem Math

Many beginning Texas holdem players look at a discussion about expectation
and instantly decide it’s too hard and ignore it. When they do this they
severely hurt their long term chances at being a profitable player.

We’ve broken down how to look at situations while playing poker in a simple
manner that almost any player can use below. Do yourself a favor and go into
this with an open mind. Once you understand it at a simple level you can learn
more as you gain experience. You may be surprised at just how easy it gets to
determine positive and negative expectation with a little practice.

Expectation

Expectation is what the average outcome will be if you play the same
situation hundreds or thousands of times. Once you determine the expectation you
know if a situation offers positive or negative results on average.

Your goal as a Texas holdem player is to play in as many positive expectation
situations as possible and avoid as many negative expectation situations as
possible.

You need to understand that expectation is something that can be applied to
almost any situation in poker, but it’s also subjective in many areas.

• If you play at a table where every opponent is better than you in the long
  run you’re going to lose money. This is a negative expectation situation.
• If you play at a table where every opponent is a worse
  player than you it’s a positive expectation situation because you’re going to
  win in the long run.

The problem is determining whether a situation is positive or negative
expectation when you sit down at a table with some players who are better than
you and some who are worse.

You can find many situations where it’s easier to determine expectation
mathematically, and we’ll teach you how to do this now. While this may seem
overly complicated at first, especially to do at the table while playing, you
don’t need to know exactly how negative or positive a situation is, you only
need to know if it’s positive or negative.

Once you determine if a situation is positive expectation or negative
expectation you simply remember the next time you’re in a similar situation.
Once you start determining expectation you’ll find that you learn mist
situations quickly and only have to think through an occasional situation at the
table.

The best way to see how to determine expectation is by running through a
couple examples.

Example 1

You’re facing a bet after the turn and you have four to a flush.
The pot had $400 in it and your opponent bet $100. You’re certain that if you
miss your flush draw you’ll lose and when you hit your flush draw you’ll win.

In order to see the river you have to call the $100 bet. When you lose you
lose $100, and when you win you get back $600. You get your $100 back plus the
$400 that was in the pot plus the $100 bet your opponent made.

Many players claim that part of the money already in the pot is theirs, but
once you put money into the pot it isn’t yours. The only way to get it back is
to win the pot. So you can’t consider it in any other way when determining
expectation.

The way to see if it’s positive or negative to call is to determine what will
happen on average if you play the same situation many times. Most players find
it easiest to determine by pretending to play the hand 100 times.

In this example you’re going to hit your flush 9 out of 46 times. This means
19.56% of the time you’re going to win and 80.44% of the time you’re going to
lose. To make this simple we’ll round these numbers off to 20% and 80%.

If you have to put $100 in the pot 100 times your total investment is
$10,000. The 80 times you lose you get nothing back. The 20 times you win you
get $600. 20 times $600 is $12,000. When you take the $12,000 you win and
subtract the $10,000 you lose when you play the situation 100 times, you see
that you win $2,000 overall.

To determine how much you win on average per hand simply divide the $2,000 by
100 to get a positive expectation of $20 per hand. This means that every time
you’re in this situation you’ll win on average $20.

The truth is you may win a little more because we’re ignoring the river.
Because you know you can’t win if you miss your flush, you always need to fold on
the river when you miss your draw. Every once in a while you may be able to
extract a small bet from your opponent on the river when you hit your flush,
increasing your average expectation. Sometimes it’s even correct for your
opponent to call on the river in this situation. See the next example to see
why.

Example 2

Let’s say you’re playing the same hand as above but you have a
straight and your opponent appears to be drawing to a flush. You’re on the
river, the pot has $600 in it, and the board has the third suited card hit on the
river.

If your opponent was drawing to the flush, they completed it and you’re going
to lose the hand. In this situation your opponent bets $20.

In this situation you clearly have to call.

The reason you have to call is because you can’t know for certain your
opponent was drawing to the flush. They may be bluffing or have two pair or any
other number of hands that aren’t as good as your straight.

Let’s look at the math behind this decision.

If you play the situation 100 times your total investment is $20 times 100,
or $2,000.

Texas Holdem Regler All In-one

When you win you get $640, consisting of the original $600 pot, your
opponent’s $20 bet, and your $20 call. If you win three hands you get back
$1,920 for a loss of $80, or 80 cents per hand.

If you win at least four times you’re in a positive expectation situation.
Four wins nets $2,560 for an overall win of $560, or $5.60 per hand.

What this means is if your opponent is bluffing or has a weaker hand just
four times out of 100 or more, calling is a positive expectation situation. Four
times out of 100 is only 4%. You’ll win at least 4% of the time in this
situation.

The numbers get closer the more your opponent bets on the river, and the
closer the numbers get the more you’re going to need to use what you know about
your opponent to determine if a situation is positive or not.

Start looking at every decision you make at the Texas holdem tables in terms
of positive and negative expectation.It’s hard at first, but the more you
practice the better you’ll get at predicting if a situation offers positive
expectation.

Summary

Texas Holdem Regler All Inclusives

Texas holdem math is often the only thing that separates winning and losing
players. Take the time to learn the basics now so you can improve your game in
every way possible as you gain experience. This guide is the perfect place to
start for players of every experience level.