Poker Hand Selection



A selection of handy poker charts that can be used as reference material for beginners. Includes poker math, starting hand charts, drawing odds and more. We also use the Selection Sort Algorithm to sort the Poker hand by the rank values of each card Previously discussed: The Selection Sort Algorithm was discussed in the array lecture notes. In poker, players form sets of five playing cards, called hands, according to the rules of the game. Each hand has a rank, which is compared against the ranks of other hands participating in the showdown to decide who wins the pot.

Starting Hand Selection: Chen Formula : Sklansky Starting Hand Groups

The Chen formula is a system for scoring different starting hands in Texas Hold’em. It was created by Bill Chen for use in the book Hold’em Excellence by Lou Krieger. Bill Chen is also the guy that wrote The Mathematics of Poker.

The process looks a little tricky at first, but it’s really quite straightforward and logical after you have worked through a handful of examples.

The Chen formula.

  1. Score your highest card only. Do not add any points for your lower card.
    • A = 10 points.
    • K = 8 points.
    • Q = 7 points.
    • J = 6 points.
    • 10 to 2 = 1/2 of card value. (e.g. a 6 would be worth 3 points)
  2. Multiply pairs by 2 of one card’s value. However, minimum score for a pair is 5.
    • (e.g. KK = 16 points, 77 = 7 points, 22 = 5 points)
  3. Add 2 points if cards are suited.
  4. Subtract points if their is a gap between the two cards.
    • No gap = -0 points.
    • 1 card gap = -1 points.
    • 2 card gap = -2 points.
    • 3 card gap = -4 points.
    • 4 card gap or more = -5 points. (Aces are high this step, so hands like A2, A3 etc. have a 4+ gap.)
  5. Add 1 point if there is a 0 or 1 card gap and both cards are lower than a Q.(e.g. JT, 75, 32 etc, this bonus point does not apply to pocket pairs)
  6. Round half point scores up.(e.g. 7.5 rounds up to 8)

For step 5, it’s easier to refer to this extra 1 point as a 'straight bonus' to save confusion between steps 4 and 5. Subtracting 1 point for 1 gap and then adding it back again for lower cards seems a bit awkward I know, but that’s the way it works.

Chen Formula calculator.

Chen formula hand example scores.

  • A K
    • A = +10 points.
    • Suited = +2 points.
    • Final score = 12 points.
  • T T
    • T = 10 x 1/2 = +5 points.
    • Pair = multiply by 2.
    • Final score = 10 points.
  • 5 7
    • 7 = 7 x 1/2 = +3.5 points.
    • Suited = +2 points.
    • 1 card gap = -1 point.
    • 0 - 1 card gap, both cards under Q = +1 point.
    • Final score = 6 points. (5.5 points rounded up)
  • 2 7
    • 7 = 7 x 1/2 = +3.5 points.
    • 4+ card gap = -5 points.
    • Final score = -1 point. (-1.5 points rounded up)
  • A A
    • A = +10 points.
    • Pair = multiply by 2.
    • Final score = 20 points.

So now we know how to work out how many points different hands are worth, what can we do with the numbers to help us with starting hand selection?

Using Chen formula hand points.

The main reason behind using the Chen formula for different starting hands was so that you can categorize them based on the Sklansky and Malmuth hand groups table.

That’s all well and good for helping you to compare the strength of different starting hand in Hold’em, but it doesn’t really do much in the way of strategy for starting hand selection. Therefore, I have done a little bit of work and created a starting hand strategy using the Chen formula.

Chen formula starting hand strategy.

  • Only ever consider calling a raise with 10 points or more.
  • Always raise or reraise with 12 points or more.

Short-handed strategy. (6 players)

Early position.

  • Raise = 9 points or more.
  • Fold = 8 points or less.

Mid position.

  • Raise = 8 points or more.
  • Fold = 7 points or less.

Late position.

  • Raise = 7 points or more.
  • Fold = 6 points or less.

Full-ring strategy. (10 players)

Early position.

  • Raise = 10 points or more.
  • Fold = 9 points or less.

Mid position.

  • Raise = 9 points or more.
  • Fold = 8 points or less.

Late position.

  • Raise = 7 points or more.
  • Fold = 6 points or less.

'Raise' = Raise if there have been no raises or calls before you.
'Fold' = Fold regardless if there has been a raise before you or not. Just fold.

About my Chen formula starting hand strategy.

As with any set of rules or guidelines in poker, this Chen formula starting hand strategy isn’t perfect and will have it’s flaws. However, I like to think that this is an easy-to-use and solid preflop strategy using the Chen formula.

Most of the strategy involves either raising or folding preflop, which is a solid approach to take as a new player and a style that you will grow accustomed to as your game progresses. The starting hand requirements are also a little tight, but that’s only to be expected if you’re using a guide and you haven’t quite found your feet when it comes to starting hand selection yet.

I took inspiration from the Chen formula article at SimplyHoldem.com (no longer active) to create this starting hand strategy. I decided to develop my own because I believe that the guidelines at Simply Holdem were flawed because:

  1. It does not distinguish between short and full ring games.
  2. Just calling the big blind is not a profitable way to play NL Hold’em for the most part.

Chen formula evaluation.

The Chen formula is never going to be a complete substitute for proper preflop starting hand strategy. It will also take a little getting used to if you want to work hand scores out on the fly. However, this is as good a formula as you are going to find for working out preflop starting hand strengths in NL Hold’em.

The starting hand strategy I worked out will also have its own flaws, but again this is as good as a simple guideline is going to get for those preflop decisions.

Go back to the awesome Texas Hold'em Strategy.

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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.

Poker Hand Selection

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:

  • Pairs – e.g. , ,
  • Suited connectors – e.g. , ,
  • Connecting cards – e.g. , ,
  • Suited unconnected cards – e.g. , ,
  • Unconnected cards – e.g. , ,

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.

The Best Starting Hands in Hold’em

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.

Group 1: AA, KK

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.

Group 2: QQ, JJ, AKs

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.

Group 3: TT, AK, AQs, AJs, KQs

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.

Suited Cards

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.

Kicker Issues

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.

Table Conditions

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 Number of Players

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.

Position

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.

A Raised Pot

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.

Starting Hand Charts

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.

Conclusion

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.

Poker Hand Selection Chart

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!

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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.

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Poker Starting Hand Selection

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