Number Of Poker Starting Hands

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Martin Harris

For a certain segment of new hold’em players, starting hand charts can be fascinating. Even those with many years of experience who have little need to consult such charts still find them interesting as debate-starters.

Poker Starting Hand Guide

Texas Holdem Heads-Up Preflop Odds. This table was created by enumerating through every possible board and opponent hole card combination for each of the 169 texas holdem preflop starting hands. There are 1,326 possible combinations of cards from a standard deck but there are only 169 non-equivalent starting hands in poker. This number is made up of 13 pocket pairs, 78 suited hands and 78. 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.

In hold’em there are 169 different combinations of hands you can be dealt. For those of us who enjoy working with numbers or creating lists with which to organize our lives, there’s something appealing about the idea of ranking all of those hands from 1 to 169, even if we know such a list probably might have only limited value when it comes to actual game play.

Hands of poker in order

In truth, there are actually a lot more possible combinations of hole cards in hold’em — 1,326 of them, in fact. But that total also considers suits as distinct, when in fact before the community cards come the suits are all essentially of equal value.

That is to say, is of the same value as when playing preflop, while and are also of equivalent value. So, too, are the different combinations producing the same pocket pairs all equal before the flop in terms of their relative worth. While there are six different ways to get pocket aces — , , , , , — you're equally happy no matter what suits the cards are.

So we get rid of all of those redundant hands and say that in Texas hold'em there are 169 “non-equivalent” starting hands, breaking them down as follows:

  • 13 pocket pairs
  • 78 non-paired suited hands (e.g., with two cards of the same suit like or )
  • 78 non-paired unsuited hands (e.g., with two cards of different suits like or )
Hands

Notice now the non-paired combinations of hole cards neatly divide into equal groups, both of which are six times as large (78) as the smaller group of pocket pairs (13). The total of 169 combinations represents a square, too — 13 x 13 — another curious symmetry when it comes to hold'em hands.

Still, that’s a lot of starting hand combinations — too many for most of us humans to keep in our heads — which is one reason hand ranking charts are appealing and even can be useful, since they help players think about certain two-card combos as “strong” or “average” or “weak” as possible starters.

Setting aside the idea of actually ranking the 169 hands from best to worst, we might think for a moment about other ways of categorizing starting hands in hold’em, using that initial breakdown of hands into pocket pairs, non-paired suited hands, and non-paired unsuited hand as a first step toward coming up with further, smaller groups that are easier to remember.

The 13 pocket pairs we might group as big or “premium” (, , and ), medium ( through ), and small ( through ).

Meanwhile, we might divide each of the other groups into “connectors,” “one-gappers,” and “two-gappers” (and so on), further thinking of them also as “big,” “medium,” and “small” while also keeping separate suited and non-suited combinations.

These categories of non-paired hands are created by thinking about straight-making possibilities (affected by connectedness) and flush-making possibilties (affected by suitedness). There are more ways to make straights with “connectors” — that is, two cards of consecutive rank like — than with two-gappers, three-gappers, and so on. So, too, do you have a better chance of making a flush with suited hole cards than with non-suited hole cards.

Another possible group to create would include “ace hands” — i.e., non-paired hands containing one ace — that can be thought of as “big aces” (e.g., , ), “medium aces” ( down to ), and “small aces” ( to ). Or “king hands,” too. We like keeping these groups in mind, as hands with big cards like an ace or king can connect with flops to make big pairs.

In any case, you can see how these criteria for making categories can help when it comes to building those starting hand charts. And in fact most of those charts feature a similar ordering of hands, with...

  • the premium pocket pairs and the big aces (suited and non-suited) up at the top;
  • medium and small pocket pairs and big-to-medium suited connectors and one-gappers in the middle;
  • and non-paired hands with less potential to make big pairs, straights, or flushes toward the bottom.
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However, there are problems with relying so heavily on starting hand charts that you don’t take into account factors that can make a given hand gain or lose value. Such as the flop. Or the turn. Or the river. Or other factors — including how your opponents are playing their hands — that can quickly affect the value of your starting hands.

Poker Starting Hand Odds

After all, as anyone who’s played even a few hands of hold’em well knows, even if is the highest-ranking starting hand and a non-suited ranks as 169th, a couple of deuces among the community cards is all it takes to make the best hand worst and the worst hand best.

Learning the relative value of starting hands is definitely an important first step when it comes to getting started in hold’em. Other aspects of game play such as the importance of position, knowing when and how much to bet or raise, and thinking about opponents’ holdings and playing styles as hands proceed are good to learn, too, and help show how a great starting hand might not be so great five community cards later.

Poker is not blackjack, a game in which similar hand-ranking guides are sometimes used to inform players’ decisions about how to play. In poker you want to be wary about becoming too reliant on those pretty starting hand charts. They can be great for indicating which hands might be worth playing (and which should be thrown away), but troublesome if allowed to outweigh all of the other important factors that arise as a hand plays out.

Hands

Number Of Poker Starting Hands Against

That said, starting hand charts can be useful, especially for those new to hold’em. They also can be a big help when picking up other games, too, like pot-limit Omaha or the various stud games, if only to get an early idea what hands tend to play better than others.

But for many such charts ultimately are only themselves a way to get started, before the experience of playing helps players more instinctively recognize both hand groupings and how hands tend to compare in terms of profitability.

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Which poker stats are most important?

Our poker HUD software offers a large amount of statistics. Knowing which ones are relevant and important can be overwhelming. If you are new to poker software you can initially ignore all statistics except the essential three poker statistics. Once you have understood how to use the basic statistics, you can add more depending on your style of play, and your chosen table size.

The big three poker statistics (and one bonus stat):

  • Voluntarily Put $ in Pot (VPIP)
  • Preflop Raise (PFR)
  • Postflop Aggression Frequency (Agg)
  • A bonus stat: Big blinds won/100 hands.

These three statistics are a great starting point to get an idea of a person’s playing style. They only require 25 hands or so to reliably give a good idea of a player's tendencies.

Voluntarily Put $ in Pot (VPIP)

VPIP in poker measures how often you voluntarily pay money into a hand before seeing the flop. Paying the big blind, the small blind, or the ante is not considered voluntary. Therefore this percentage indicates how often you called, bet, or raised. The lower this value, the tighter your hand selection is. The higher, the looser. Only preflop betting is taken into account.

Good players know to only invest money in the pot when they have decent starting hands. A simple way to measure whether you are doing this is to keep your VPIP at a sensible value.

What is a good number for VPIP?

Simple answer: between 15% and 20%. This assumes you want to play tightly, you are playing micro-stakes, and you are playing on full ring cash tables.

Now the more complicated answer: it depends a lot. If you are still learning to play good poker, then you should be very selective in which hands you play, so your VPIP might acceptably be a tad lower than 15%. The less people on the table, the more hands you can play. If you are on a table full of ultralight players, you can also loosen up. An experienced player who understands the subtleties of the game can get away with a VPIP between 20% and 27%. In 6-max or heads-up, most players have a much higher VPIP. In Pot Limit Omaha, VPIP values will be even higher.

Preflop Raise (PFR)

Number Of Poker Starting Hands

The PFR statistic indicates how often you have raised before the flop is seen. A high value is an indicator of an aggressive player. A low value indicates a passive player. Good players are aggressive players.

Your PFR has a possible range between a minumum of 0% and a maximum equal to the value of your VPIP. That is, if your VPIP is 20%, then your PFR can’t be higher than 20%. Ideally it should be a little lower than your VPIP, but not much lower.

Poor players and beginners play timidly. They call too often preflop. Good players frequently fold or raise preflop, especially if no other players have yet raised. If you are not prepared to raise, then you should consider folding. Calling preflop just in case the flop is good for you is not a winning poker strategy.

What is a good PFR range?

Between 2% and 3% lower than VPIP. If your VPIP is 15%, PFR should be about 12%. These two numbers in combination indicate that you are only playing quality hole cards, and you are predominantly raising with them pre-flop. In other words, you are playing how most poker books and poker forums say you should play.

Postflop Aggression Frequency (Agg)

Agg indicates how aggressively you play postflop. The higher this number, the more aggressively you are playing. This must be interpreted in combination with VPIP. Players who see very few flops will naturally tend to have a higher aggression percentage because they are only playing top-quality hole cards.

Poor players play passively postflop. They’ll check or call too often. Good players know to play good hands aggressively postflop:

  • because players with speculative hands are forced to fold before they get free cards
  • because if they hit the flop or have a dominating hand, a bet or raise will increase their return

What is a good Agg range?

50% to 60% is ideal, assuming that you have a VPIP of 15% to 20%. Much higher, and you are probably overplaying speculative hands and bad hands, and bluffing too much. Much lower and you are not playing your good hands strongly postflop.

Hands Of Poker In Order

Leave the bluffing for the movies and for live play. At low stakes online play, bluffing is much less important than a good understanding of the probabilities of winning hands.

Big blinds won/100 hands

The three stats I've presented so far mean nothing if you can't keep your win rate positive. A nice way to 'normalize' your win rate across different stake levels, table sizes, and opponents is to measure how much you won in terms of the big blind. If you are playing at a table where the big blind is $0.50, and you won $20, then think of this as winning 40 big blinds.

Number Of Poker Starting Hands Games

If this number is not positive, then you are losing money. The best remedy is to drop to a lower stake level, where the opponents are weaker. If, according to this stat, you consistently win over time, then you should consider going up to a higher stake level.

Adjusting your play based on the villain's poker stats

This is where our poker HUD software gets really useful: analyzing and exploiting opponent weaknesses. Let's consider some hypothetical players:

Tight Tim has VPIP of 5%, PFR of 5%, and Agg of 100%

With such a low VPIP, we can guess that this player folds anything except the very best hands. And with a PFR equal to VPIP, when he gets premium hands, he raises. So if this player raises, and you are next to act, you know that you should fold every hand except the best few hands, such as AA, KK, QQ. You can be almost certain that if you go to the flop, he'll raise postflop. So play tighter than usual with this player. But when you do get a premium hand, and he comes along, you can be sure that player B will put plenty of chips into the pot. Your pot, hopefully.

Passive Pete has VPIP of 20%, PFR of 16%, and Agg of 10%.

This player seems take have a good handle on preflop play. But when he gets to the flop, he gets timid. He is probably going to give you a chance postflop to see the turn and river for free. If you go to the flop with him and raise, there is a good chance he'll fold. So you can play a bit more aggressively both preflop and postflop.

Eddie the Eagle has VPIP of 22%, PFR of 19%, and Agg of 55%.

Eddie has a good all-round balance between preflop and postflop play. Preflop, he plays tight and aggressively. Postflop, he balances between pushing hard with his good hands, and being willing to fold or check with his weaker hands. Eddie would be well-served to move on to understanding more advanced poker statistics.

Tracking your poker stats

Poker players use poker software like Poker Copilot to automatically record their hands. Each hand is broken down into many statistics, which are then aggregated into simple percentages.

Poker Statistics Guide

Hands

What’s next after you’ve understood the basic poker stats? Read our Poker Statistics Guide for a comprehensive explanation of understanding and using all the main poker statistics.