• How Many Different Hands Are Possible In Texas Holdem Rules
• How Many Different Hands Are Possible In Texas Holdem
• How Many Different Hands Are Possible In Texas Holdem Tournaments
• How Many Different Hands Are Possible In Texas Holdem Card Game
• How Many Different Hands Are Possible In Texas Holdem Against

Texas Hold’em features 169 different starting hands. Despite this, there are only 9 categories of showdown hands available. In this poker hand ranking guide, we’re going to introduce you to the worst showdown hands and make our way up to the best showdown hands. Ever since the early days of Texas holdem poker, players have attempted to analyze and organize the 169 possible two card starting hands found in the game. One traditional way of doing so involves running thousands upon thousands of simulations in which a particular holdem hand is played out against nine random opponent hands. Don't worry if you don't know why we do this, just take it as it is. This means that the probability of the flop being A K Q in any order is 1/19,600 - which is exactly the same probability as the flop coming something like 2 5 9 in any order. So in total there are 19,600 different possible flops.

• (In Texas Hold'em, you build a hand with two hole cards and three community cards) Card Game Rules Texas Hold’em Poker is a casino type game where the objective is to win the best hand out of a group of players. Players are initially given two cards, called “hole” cards, that they hold throughout the game (hence the name). They then try to make the best five card hand out of their.
• The answer is 52.51, or 2,652. Carry this out to three-card poker: 52.51.50=132,600. With four cards, you could see 6,497,400 potential hands. Finally, we get to five-card poker.
• In Texas Hold’em poker there are 2,652 possible starting hands. The way that you first get all the possible starting hands is to take the number of cards (52) and multiply that by 51 times. Remember that the first 2 cards that can be dealt can be anything from the deck.

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.

Sometimes the best texas hold em hand is made by the five shared cards on their own. If they were 10-10-10-10-A and you had 9-9 your hole cards would not play as there is a four-of-a-kind of higher value already showing. End of the game. There are two ways a hand can end. The better no-limit hold'em players are able to think beyond how flops help or hurt their own hands. They also recognize how flops may or may not have helped their opponents, and play accordingly.

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

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.

How Many Different Hands Are Possible In Texas Holdem Rules

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.

How Many Possible Texas Holdem Hands Are There Now

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.

How Many Possible Texas Holdem Hands Are There Yet

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.

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 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.

All the suits in poker are of equal value. It makes no difference whether someone has the ace of clubs or the ace of diamonds. If remaining players have exactly the same hand at showdown, only in different suits, the pot is split.

Hand Ranking

The value of poker hands is determined by how rare or common it is to be dealt them, with the most common hands valued lower than the rarer hands. The complete list of poker hands is as follows, in increasing order of scarcity:

1. High card
2. One pair
3. Two pair
4. Three of a kind (sometimes called “trips” or “a set”)
5. Straight
6. Flush
7. Full house
8. Four of a kind (sometimes called “quads”)
9. Straight flush

High Card

How Many Possible Texas Holdem Hands Are There Time

If you have no pair, three of a kind, straight, flush, full house, etc., then the highest card in your hand is considered to be decisive. The hand above, in which the best card is a king and there is no other combination of poker hand, is known as “king high”.

Ace high beats king high. King high beats queen high, and so on.

If the high cards in two players’ hands is the same, the second-highest card becomes decisive. If these cards are also the same, the third-highest card plays and so on. These cards are known as the kicker.

High card ace, king kicker:

Player 1 has A♠K♣
Player 2 has A♦Q♦
The board is 9♠6♥4♥3♠2♣

Both players have an ace, but Player 1 wins, because he has a king as his second highest card (kicker). His opponent only has a queen.

You don’t have to play Texas holdem for long before you start doing a little reading about the game.

One of the first things you’ll learn is that you need to have starting hand requirements.

You can find various charts and tables for this sort of thing, but you’ll also learn quickly that you have 169 possible starting hands.

The best of these is pocket aces, and the worst is 27 offsuit.

But how do you rank the starting hands in-between?

You’ll find plenty of quality and insightful advice regarding Texas Holdem when searching online, but here’s some information presented in a way that it should be easy to absorb and remember from the professionals.

How to Play Pocket Pairs Preflop

One of the first books I read about Texas holdem was co-written by Phil Hellmuth, and it was titled Play Poker Like the Pros.

He has a top 10 starting hands list that consists of any pair of 7s or higher, along with ace-king and ace-queen.

He suggests that if you’re new to the game, you play super-tight and limit yourself to these hands.

So, obviously, pocket pairs are important pre-flop in Texas holdem.

But how do you play them?

How Many Different Hands Are Possible In Texas Holdem

You start by subcategorizing these hands:

• Huge pairs – aces or kings
• Big pairs – any pair of 10s, jacks, or queens
• Medium pairs – any pair of 7s, 8s, or 9s
• Little pairs – all the rest – any pair of 6 or lower

How to Play Huge Pairs Preflop

It’s hard to lose money when you have a pair of kings or a pair of aces pre-flop in Texas holdem. These hands can often win unimproved. It doesn’t matter what kind of game you’re in – passive or aggressive, loose or tight, huge pairs practically play themselves.

These hands are easy to play pre-flop, especially when playing Texas Holdem online.

Bet with them, raise with them and re-raise with them.

Here are the huge pairs in list format:

• AA
• KK

How to Play Big Pairs Preflop

Big pairs are still great hands, but not as great as aces or kings, obviously.

But like the huge pairs, you can often win just on the strength of this pair alone. And a big pair plays well in any kind of game, too.

The only time you wouldn’t re-raise with a big pair like this is if you’re acting after multiple raisers and re-raisers. In that case, you should consider the possibility that your opponent is ahead.

The correct play here gets trickier. It might make sense to call a raise and a re-raise here if you know the other players’ tendencies and see what happens on the flop. If you’re against a tight player, it might make sense to just fold in the race of multiple raises.

Here are the big pairs in list format:

• QQ
• JJ
• TT

How to Play Medium Pairs Preflop

If you can reduce your competition to just a couple of people, these pairs play well – but mostly if those players are loose and probably have weaker hands than you do.

If you can get into a pot with 5+ other players, you have an opportunity to win big on the occasions when you flop a set. With 5 players in the pot with you, someone almost always has a pair, and they’ll usually play it aggressively.

Limping from early position is appropriate, and raising from late position is also appropriate, but only if you’re trying to thin the competition. If multiple players have already limped, you should limp to so that you can get more people in the pot.

This hand is strong enough that you can afford to call a single raiser and try to hit a set on the flop, but you need to be ready to fold if you don’t – especially against tough opponents.

Here are the medium pairs in list format:

• 99
• 88
• 77

How to Play Small Pairs Preflop

It’s hard to win a hand with a small pair unless it improves on the flop, turn, or river. The profits from this category of hand come from the occasional sets and full houses.

Your goal should be to get into the hand as cheaply as possible and with as many opponents as possible.

If the game is loose enough, you’d be justified calling a raise pre-flop, although multiple raisers and re-raisers are trouble. Position matters a lot when playing in person or at online casinos.

Some players are going to put a lot of money into the pot regardless of what happens on the later rounds, so even if you can’t get into the pot with 5+ players, these are playable hands.

Just don’t overplay small pairs. And be ready to let go of them when you miss the flop.

Here’s a list of the small pairs:

• 66
• 55
• 44
• 33
• 22

How to Play Suited Cards Preflop

Suited cards are cards of the same suit. They can be great hands, mediocre hands, or lousy hands, depending on the ranks of the suited cards.

How to Play Suited Broadway Cards

The strongest suited cards are the broadway cards. These include the ace with a king, queen, jack, or ten. This category also includes king-queen suited and king-jack suited.

You can win multiple ways with this category of starting hands. The most common way you’ll win with these cards is when you hit a big pair with a strong kicker. You can also often hit a flush with a big card.

Instead of automatically raising with these cards as you would with the big pairs, though, you should usually only raise if you’re the first one in the pot. If you have raisers in front of you, let your opponent’s tendencies guide your decision. Against a loose player, call. Against a tight player, at least consider folding.

Even though these are strong hands, they’re still drawing hands. You won’t often win unless your hand improves on the flop, turn, or river.

Here’s a list of the top suited broadway cards:

• AKs
• AQs
• AJs
• A10s
• KQs
• KJs

But not all suited broadway cards are premium starting hands like the big ones listed above.

Queen-jack suited, king-ten suited, queen-ten suited, and jack-ten suited are also broadway cards, but they’re considerably weaker. They’re harder to win with because it’s easier for your opponent to have a stronger hand.

Your goal is to win against weak opponents or to hit a really big hand and win a large pot with a lot of opponents. You’ll win those pots when you hit your occasional straights and flushes.

How Many Different Hands Are Possible In Texas Holdem Tournaments

These are good hands to limp in with, and you can raise with them in late position if everyone in front of you limped.

These are good hands to limp in with when playing at real money online casinos, and you can raise with them in late position if everyone in front of you limped.

If someone raises, though, make sure you can get multiple players into the pot with you before calling. It won’t usually be profitable to get heads-up with a small suited broadway hand.

Here’s a list of the smaller suited broadway starting hands:

• QJs
• K10s
• Q10s
• J10s

Big-Little Suited

Big-little suited hands are any suited ace with a 9 or lower or any suited king with a 9 or lower.

The bigger the kicker is, the better. The aces are far stronger than the kings, too.

But even if you pair the king, you have a lot to fear when an ace shows up on one of the later rounds.

Your goal with a big-little suited hand, though, is to get into a pot with a lot of other players cheap and hit a flush.

Here’s a list of big-little suited hands:

• A9s
• A8s
• A7s
• A6s
• A5s
• A4s
• A3s
• A2s
• K9s
• K8s
• K7s
• K6s
• K5s
• K4s
• K3s
• K2s

Suited Connectors

These are hands starting with 10-9 suited and going down from there, with or without gaps.

Suited connectors without gaps, for example, are 10-9 suited, 9-8 suited, 8-7 suited, 6-5 suited, and 5-4 suited.

Here’s a list of playable suited connectors without gaps:

• 10-9s
• 98s
• 87s
• 76s
• 54s

(You’ll notice that 32s isn’t playable.)

Suited connectors with one gap, on the other hand, are jack-9 suited, 10-8 suited, 9-7 suited, and so on, down to 6-4 suited.

Here’s a list of playable suited connectors with one gap:

• J9s
• 10-8s
• 97s
• 86s
• 75s
• 64s

(Notice that 53s isn’t playable.)

You can also have suited connectors with 2 or 3 gaps like queen-9 suited or 9-6 suited (or in between), or queen-8 suited, and jack-7 suited.

The list of playable suited connectors with 2 gaps is shorter:

• Q9s
• J8s
• 10-7s
• 96s

And the list of playable suited connectors with 3 gaps is even shorter still:

How Many Different Hands Are Possible In Texas Holdem Card Game

• Q8s
• J7s

Regardless of which suited connector you’re looking at, it’s a hand that needs to hit hard on the flop to bet worth continuing with. In other words, you want to get in before the flop for a minimal investment and with multiple opponents.

Otherwise, suited connectors aren’t really worth playing pre-flop.

Also, you’ll notice that this category doesn’t include suited broadway cards, as they’re played a little differently.

Unsuited Cards Before the Flop

The only time you’ll play unsuited cards pre-flop is if they’re both broadway cards.

These hands play the same as the other speculative hands. Get in cheap with a lot of other players so you can win a big pot. Be ready to fold them.

Here’s a list of playable unsuited cards:

• AK
• AQ
• AJ
• A-10
• KQ
• KJ
• K-10
• QJ
• Q-10
• J-10

Unplayable Starting Hands

If you’re running a naked bluff – which I don’t recommend to beginners, anyway – any 2 cards might do. If you notice how many starting hands are included in the lists above, you’ll see that you have 66 playable hands in these admittedly somewhat arbitrary categories.

You have 169 possible starting hands in Texas holdem, which means that I’m recommending you only play the top 39% of the possible starting hands.

But this doesn’t mean you should always play any of these hands.

How Many Different Hands Are Possible In Texas Holdem Against

When you account for the folding you’ll do when you have less than a premium holding, you’ll more likely play between 15% and 25% of your starting hands, depending on table conditions.

Where to Get More Guidance About Starting Hand Categories

I leaned heavily on Ed Miller’s book, Small Stakes Holdem when writing this post.

But you’ll also find Phil Hellmuth’s book, Play Poker Like the Pros helpful – especially when it comes to starting hands for no limit players.

Doyle Brunson’s Super/System also has excellent insights into how to play various starting hands in no limit holdem.

Holdem Poker for Advanced Players, by Mason Malmuth and David Sklansky, has a grouping of starting hands by category that might also prove useful.

Finally, check out this blog on preflop Texas Holdem Poker strategy.

Conclusion

The easiest way to get started playing well in Texas holdem is to put your starting hands into categories. Most new players play too many hands pre-flop, and they don’t fold often enough when their hands miss the flop.

You’ll know better than to make those mistakes now.

But starting hands are just the start of Texas holdem wisdom.