One of hold’em’s most crucial decisions is, do I see the flop or don’t I see the flop? In this lesson we’ll examine the importance starting hand selection and what factors you need to consider before deciding whether to hold’em or fold’em.
The 1,326 starting hands can be reduced for purposes of determining the probability of starting hands for Hold'em. The only factors determining the strength of a starting hand are the ranks of the cards and whether the cards share the same suit. Of the 1,326 combinations, there are 169 distinct starting hands grouped into three shapes: 13 pocket pairs (paired hole cards), 13 × 12 ÷ 2 = 78 suited hands and 78 unsuited hands; 13 + 78 + 78 = 169. The relative probability of being dealt a hand of each given shape is different. At the bottom of this page is a comprehensive listing of Texas Hold'em starting hands based on their EV (expected value). Expected value is the average number of big blinds this hand will make or lose. For example: AA from the Small Blind in a $3/$6 game will make, on average, 2.71 times the big. Poker hands odds & outs: a crash course-guide on poker odds, pot odds, probabilities & odds charts so you can win at Texas Hold’em at the tables or online. One of the most important things that a poker player should know is what their poker odds are in a given situation. Poker Odds Charts. Poker odds charts come in useful when you want to quickly work out the odds of winning a hand in Texas Hold'em. The most commonly used odds charts are the 'standard poker odds charts' below, which give both the percentage and ratio odds of completing your draw depending on the number of outs you have (see pot odds and drawing hands for more information).
There are 169 different two card starting hand combinations in hold’em poker. This number assumes, for the sake of argument, that is the same as , or any other suited combination. If you are not dealt a pair, then your starting hand will either be suited or unsuited, and either connected or unconnected (gapped). This means your starting hand will fall into one of the following five categories:
Unconnected cards might be one, two, three-gapped, or more. The bigger the gap, the less chance you have of hitting a straight. For example, if you hold 73, then you’d need a flop of 456 for the straight. But holding T8, you could flop a straight with 9JQ or 679.
Let’s start by talking about the best starting hands, which are often referred to as ‘premium hands’. There is some disagreement amongst poker players as to which starting hands are the best, but few would dispute the value of the first of our three main groups, Aces and Kings.
These two starting hands are the major players in hold’em. It’s not often you’ll get dealt Aces or Kings. In fact you get either Aces or Kings once in every 110 hands, so it’s not nearly as often as we’d like. Aces are by far the best possible starting hand in hold’em, closely followed by Kings. However, you should be aware that even Aces or Kings can get cracked, and they don’t play too well against multiple opponents. This means you should definitely be raising pre-flop to narrow the field. Extra caution is necessary when playing Kings, because if an Ace falls on the flop then you’re losing to anyone who has a single Ace in their starting hand. While they are very strong hands which most players love to get, they are certainly not unbeatable.
Queens and Jacks are great starting hands, and with either of these, you can usually be confident you have the best starting hand. Of course they are dominated by Aces and Kings, but they’re a favourite against all other starting hands. While Queens and Jacks will occasionally run into a player holding either Aces or Kings, it doesn’t happen too often. Play these cards strongly, and always look to raise with them.
Ace-King is known throughout the poker world as Big Slick, and when suited it’s often called Super Slick. While it isn’t a ‘made hand’, unlike a pair, it offers great potential. It’s only a big underdog to Aces and Kings, and even pairs like Queens and Jacks are only slight favourites. The beauty of AK (suited or unsuited), is that it dominates so many other hands like AQ, AJ, AT, and so on. These types of hands are the ones that players usually end up pushing all-in with late in a tournament.
This next group of starting hands is also a strong bunch. You should definitely be looking to raise pre-flop with any of these hands too. We’ve already talked about the power of AK, but starting hands like AQs, and AJs, are also very strong and often run into weaker Ace-X combinations. Even though these are all strong starting hands, and most of the time you’ll be winning pre-flop, you have to be careful – particularly a hand like KQs, which you can easily fold to a re-raise.
You’ll often hear novice players responding to questioning of why they played a particular starting hand with the line “well, because they were suited”. Some suited cards are worth playing and it’s certainly better to start with suited cards than unsuited cards. However, the odds of flopping a flush is 1 out of 118 hands (0.8%) with two suited cards, and you’ll only make a flush after the river around 6.5% of the time. Don’t fall into the trap of playing any two cards just because they happen to be suited – it doesn’t make a big enough difference to make junk hands valuable.
The word ‘kicker’ means the smaller of your two cards. Some players play a hand if it contains an Ace with any other card (such as an Ace with a 3 kicker), and this type of play ultimately cost players money and tournaments. For example, let’s suppose a player calls with A6 and the flop comes A83. What does the player do? bet? call? raise? call a big raise? go all-in? What if the flop comes Q63? The player has middle pair – which is very hard to play. Hey, the flop could come A6X – the player has two pair, Aces and sixes but this happens only 1 out of 49 hands (2%). Until you learn when and how to play Ace junk (AX) go slow with it. One good thing about A junk and K junk, is that you do not need to play these hands to learn when they may be profitable. Let experience from other hands and study be your teacher.
Hold’em starting hands can be a complex subject because every situation is different. If you were to ask a professional poker player, “should I call, raise, or fold this hand pre-flop?” his response would almost certainly be “it depends!” Here are some of the main reasons why it depends:
The value of certain starting hands is very dependent upon the number of players at the table. Certain starting hands are always going to be under threat against a table of nine or ten players, but the value of these same hands increases when there are fewer players. A starting hand like KJ might be vulnerable against a full table of players, but is considered a strong hand if there are just a few other players.
Your position on the poker table will be a major factor in deciding which starting hands you should play. The later your position in the betting order, the better – because you get to decide what to do after most of your opponents have acted. We’ll talk much more about the importance of position throughout our lessons on Pokerology, but as a first step please see our lesson on the value of position. Playing position can elude us at first because it is a part of poker that lends itself to be exploited through experience. However, you must quickly realize that your position at the table should heavily influence the choice of starting hands that you play. Until a player has a feel or grasp for positional play, just believe and follow some of the suggestions on the subject.
Whether or not a pot has been raised should be a very important factor in your decision to play a particular starting hand. Your selection of starting hands should change when the pot has been raised by a reasonable player. If there has been a raise and a re-raise before you’re due to act, then you should only consider playing with a very strong hand. Of course this will also depend on the personality types of the other players and whether the game is very loose or passive.
When you first start playing poker it can be helpful to use a starting hand chart as a point of reference. We’ve created a couple of starting hand charts that can be used by beginners. Please click on the following links to view these charts (they will open in a new window):
Each of these charts loads as a PDF, meaning they be viewed on screen, bookmarked or better still, can be printed and studied offline.
Beginners can treat starting hand charts as the gospel, but once you know enough about the game to recognize appropriate opportunities, you can deviate because your adjustment may represent a more profitable play. Our starting hand charts are a guide, not a set of intractable rules. There is no such thing as a perfect starting hand chart, because every game is different and there are many variables at work. Game texture and table conditions can’t be measured and included into a neat formula.
There are many factors that may encourage you to tighten or loosen your play from our guidelines. If you have a starting hand that’s not listed on the chart, then there’s a good reason – it should almost always be mucked. But as in all poker decisions the phrase, “It depends” comes to mind. However, before you decide to deviate from our guidelines, have a reason for taking such an action.
Don’t fall into the trap of playing any two cards. Most poker players want to play hands and as a beginner it’s very easy to be seduced by suited cards or picture cards, or any two-card holding that contains an Ace of a King – but if you play hold’em correctly, you’re going to be selective and toss away the vast majority of hands you’re dealt.
When you gain more poker playing experience you can begin to open up your range of starting hands – but until then, proceed with caution and only play the best hands. Loose, promiscuous play will get you into trouble and is the downfall of many players.
In future lessons we’ll expand much more on the topics discussed in this poker lesson and get you to think beyond the actual cards you’re dealt. We also have hours of video footage covering starting hand selection for both no-limit and fixed-limit hold’em – so depending upon your preference, be sure to check them out!
By David Sasseman
David lives in Atlanta, Georgia, and has played over a million hands online and many thousands of hands in Mississippi, Louisiana, Florida, Illinois, Indiana, and Las Vegas casinos.
Ever wondered where some of those odds in the odds charts came from? In this article, I will teach you how to work out the probability of being dealt different types of preflop hands in Texas Holdem.
It's all pretty simple and you don't need to be a mathematician to work out the probabilities. I'll keep the math part as straightforward as I can to help keep this an easy-going article for the both of us.
When working out hand probabilities, the main probabilities we will work with are the number of cards in the deck and the number of cards we want to be dealt. So for example, if we were going to deal out 1 card:
In fact, the probability of being dealt any random card (not just the 7) would be 1/52. This also applies to the probability being dealt any random value of card like Kings, tens, fours, whatever (4/52) and the probability of being dealt any random suit (13/52).
Each card is just as likely to be dealt as any other - no special priorities in this game!
A quick example... let's say we want to work out the probability of being dealt a pair of sevens.
Notice how the probability changes for the second card? After we have been dealt the first card, there is now 1 less card in the deck making it 51 cards in total. Also, after already being dealt a 7, there are now only three 7s left in the deck.
Always try and take care with the numbers for future cards. The numbers will change slightly as you go along.
This won't make much sense for now, but it will make a lot of sense a little further on in the article. Trust me.
Multiply the two probabilities together.
So, we want to find the probability of being dealt the A and K. (See the 'and' there?)
Now let's just multiply these bad boys together.
P = (1/52) * (1/51)
P = 1/2652
So the probability of being dealt the A and then K is 1/2652. As you might be able to work out, this is the same probability for any two exact cards, as the likelihood of being dealt A K is the same as being dealt a hand like 7 3 in that order.
When we are dealt a hand in Texas Hold'em, we don't care whether we get the A first or the K first (which is what we just worked out), just as long as we get them in our hand it's all the same. There are two possible combinations of being dealt this hand (A K and K A), so we simply multiply the probability by 2 to get a more useful probability.
P = 1/2652 * 2
P = 1/1326
You might notice that because of this, we have also worked out that there are 1,326 possible combinations of starting hands in Texas Holdem. Cool huh?
Two exact cards is all well and good, but what if we want to work out the chances of being dealt AK, regardless of specific suits and whatnot? Well, we just do the same again...
Multiply the two probabilities together.
So, we want to find the probability of being dealt any Ace andany King.
P = (4/52) * (4/51)
P = 16/2652 = 1/166
However, again with the 2652 number we are working out the probability of being deal an Ace and then a King. If we want the probability of being dealt either in any order, there are two possible ways to make this AK combination so we multiply the probability by 2.
P = 16/2652 * 2
P = 32/2652
P = 1/83
The probability of being dealt any AK as opposed to an AK with exact suits is more probable as we would expect. A lot more probable in fact. Also, as you might guess, this probability of 1/83 will be the same for any two value of cards like; AQ, JT, 34, J2 and so on regardless of whether they are suited or not.
Work out each individual hand probability and add them together.
What's the probability of being dealt AA or KK? (Spot the 'or' there? - Time to add.)
P = (1/221) + (1/221)
P = 2/221 = 1/110
Easy enough. If you want to add more possible hands in to the range, just work out their individual probability and add them in. So if we wanted to work out the odds of being dealt AA, KK or 7 3...
P = (1/221) + (1/221) + (1/1326)
P = 359/36465 = 1/102
This one definitely takes more skill with adding fractions because of the different denominators, but you get the idea. I'm just teaching hand probabilities here, so I'm not going to go in to adding fractions in this article for now! This fractions calculator is really handy for adding those trickier probabilities quickly though.
Hopefully that's enough information and examples to allow you to go off and work out the probabilities of being dealt various hands and ranges of hands before the flop in Texas Holdem. The best way to learn how to work out probabilities is to actually try and work it out for yourself, otherwise the maths part will just go in one ear and out the other.
I guess this article isn't really going to do much for improving your game, but it's still pretty interesting to know the odds of being dealt different types of hands.
I'm sure that some of you reading this article were not aware that the probability of being dealt AA were exactly the same as the probability of being dealt 22! Well, now you know - it's 1/221.
Go back to the poker odds charts.
Can You Afford Not To Use
Poker Tracker 4?
“I wouldn’t play another session of online poker without it”
“I play $25NL, and in under 1 week PT4 had paid for itself”
Comments