Texas Holdem Starting Hands Percentages
Profitable Hole Cards in Texas Hold’em There are a total of 52 x 51 = 2’652 possible starting hands. As the order in which the hole cards are dealt to you is not important (it does not matter if you get dealt ace-king or king-ace) and if we neglect the colors (it only plays a role whether the two hole cards are suited or not), then we are. Known affectionately as American Airlines, pocket rockets, or simply the bullets, a wired pair of aces is the top starting hand in all of Texas holdem. As you can see, bringing aces to battle against nine random hands gives you nearly a one third chance of winding up the winner.
In the poker game of Texas hold 'em, a starting hand consists of two hole cards, which belong solely to the player and remain hidden from the other players. Five community cards are also dealt into play. Betting begins before any of the community cards are exposed, and continues throughout the hand. The player's 'playing hand', which will be compared against that of each competing player, is the best 5-card poker hand available from his two hole cards and the five community cards. Unless otherwise specified, here the term hand applies to the player's two hole cards, or starting hand.
Essentials[edit]
There are 1326 distinct possible combinations of two hole cards from a standard 52-card deck in hold 'em, but since suits have no relative value in this poker variant, many of these hands are identical in value before the flop. For example, A♥J♥ and A♠J♠ are identical in value, because each is a hand consisting of an ace and a jack of the same suit.
Therefore, there are 169 non-equivalent starting hands in hold 'em, which is the sum total of : 13 pocket pairs, 13 × 12 / 2 = 78 suited hands and 78 unsuited hands (13 + 78 + 78 = 169).
These 169 hands are not equally likely. Hold 'em hands are sometimes classified as having one of three 'shapes':
- Pairs, (or 'pocket pairs'), which consist of two cards of the same rank (e.g. 9♠9♣). One hand in 17 will be a pair, each occurring with individual probability 1/221 (P(pair) = 3/51 = 1/17).
- Alternative means of making this calculation
- First Step
- As confirmed above.
- There are 1326 possible combination of opening hand.
- Second Step
- There are 6 different combos of each pair. 9h9c, 9h9s, 9h9d, 9c9s, 9c9d, 9d9s. Therefore, there are 78 possible combinations of pocket pairs (6 multiplied by 13 i.e. 22-AA)
- To calculate the odds of being dealt a pair
- 78 (the number of any particular pair being dealt. As above) divided by 1326 (possible opening hands)
- 78/1326 = 0.058 or 5.8%
- Suited hands, which contain two cards of the same suit (e.g. A♣6♣). 23.5% of all starting hands are suited.
Probability of first card is 1.0 (any of the 52 cards)Probability of second hand suit matching the first:There are 13 cards per suit, and one is in your hand leaving 12 remaining of the 51 cards remaining in the deck. 12/51=.2353 or 23.5%
- Offsuit hands, which contain two cards of a different suit and rank (e.g. K♠J♥). 70.6% of all hands are offsuit hands
Offsuit pairs = 78Other offsuit hands = 936
It is typical to abbreviate suited hands in hold 'em by affixing an 's' to the hand, as well as to abbreviate non-suited hands with an 'o' (for offsuit). That is,
- QQ represents any pair of queens,
- KQ represents any king and queen,
- AKo represents any ace and king of different suits, and
- JTs represents any jack and ten of the same suit.
Limit hand rankings[edit]
Some notable theorists and players have created systems to rank the value of starting hands in limit Texas hold'em. These rankings do not apply to no limit play.
Sklansky hand groups[edit]
David Sklansky and Mason Malmuth[1] assigned in 1999 each hand to a group, and proposed all hands in the group could normally be played similarly. Stronger starting hands are identified by a lower number. Hands without a number are the weakest starting hands. As a general rule, books on Texas hold'em present hand strengths starting with the assumption of a nine or ten person table. The table below illustrates the concept:
Chen formula[edit]
The 'Chen Formula' is a way to compute the 'power ratings' of starting hands that was originally developed by Bill Chen.[2]
- Highest Card
- Based on the highest card, assign points as follows:
- Ace = 10 points, K = 8 points, Q = 7 points, J = 6 points.
- 10 through 2, half of face value (10 = 5 points, 9 = 4.5 points, etc.)
- Pairs
- For pairs, multiply the points by 2 (AA=20, KK=16, etc.), with a minimum of 5 points for any pair. 55 is given an extra point (i.e., 6).
- Suited
- Add 2 points for suited cards.
- Closeness
- Subtract 1 point for 1 gappers (AQ, J9)
- 2 points for 2 gappers (J8, AJ).
- 4 points for 3 gappers (J7, 73).
- 5 points for larger gappers, including A2 A3 A4
- Add an extra point if connected or 1-gap and your highest card is lower than Q (since you then can make all higher straights)
Phil Hellmuth's: 'Play Poker Like the Pros'[edit]
Phil Hellmuth's 'Play Poker Like the Pros' book published in 2003.
Tier | Hands | Category |
---|---|---|
1 | AA, KK, AKs, QQ, AK | Top 12 Hands |
2 | JJ, TT, 99 | |
3 | 88, 77, AQs, AQ | |
4 | 66, 55, 44, 33, 22, AJs, ATs, A9s, A8s | Majority Play Hands |
5 | A7s, A6s, A5s, A4s, A3s, A2s, KQs, KQ | |
6 | QJs, JTs, T9s, 98s, 87s, 76s, 65s | Suited Connectors |
Statistics based on real online play[edit]
Statistics based on real play with their associated actual value in real bets.[3]
Tier | Hands | Expected Value |
---|---|---|
1 | AA, KK, QQ, JJ, AKs | 2.32 - 0.78 |
2 | AQs, TT, AK, AJs, KQs, 99 | 0.59 - 0.38 |
3 | ATs, AQ, KJs, 88, KTs, QJs | 0.32 - 0.20 |
4 | A9s, AJ, QTs, KQ, 77, JTs | 0.19 - 0.15 |
5 | A8s, K9s, AT, A5s, A7s | 0.10 - 0.08 |
6 | KJ, 66, T9s, A4s, Q9s | 0.08 - 0.05 |
7 | J9s, QJ, A6s, 55, A3s, K8s, KT | 0.04 - 0.01 |
8 | 98s, T8s, K7s, A2s | 0.00 |
9 | 87s, QT, Q8s, 44, A9, J8s, 76s, JT | (-) 0.02 - 0.03 |
Nicknames for starting hands[edit]
In poker communities, it is common for hole cards to be given nicknames. While most combinations have a nickname, stronger handed nicknames are generally more recognized, the most notable probably being the 'Big Slick' - Ace and King of the same suit, although an Ace-King of any suit combination is less occasionally referred to as an Anna Kournikova, derived from the initials AK and because it 'looks really good but rarely wins.'[4][5] Hands can be named according to their shapes (e.g., paired aces look like 'rockets', paired jacks look like 'fish hooks'); a historic event (e.g., A's and 8's - dead man's hand, representing the hand held by Wild Bill Hickok when he was fatally shot in the back by Jack McCall in 1876); many other reasons like animal names, alliteration and rhyming are also used in nicknames.
Notes[edit]
- ^David Sklansky and Mason Malmuth (1999). Hold 'em Poker for Advanced Players. Two Plus Two Publications. ISBN1-880685-22-1
- ^Hold'em Excellence: From Beginner to Winner by Lou Krieger, Chapter 5, pages 39 - 43, Second Edition
- ^http://www.pokerroom.com/poker/poker-school/ev-stats/total-stats-by-card/[dead link]
- ^Aspden, Peter (2007-05-19). 'FT Weekend Magazine - Non-fiction: Stakes and chips Las Vegas and the internet have helped poker become the biggest game in town'. Financial Times. Retrieved 2010-01-10.
- ^Martain, Tim (2007-07-15). 'A little luck helps out'. Sunday Tasmanian. Retrieved 2010-01-10.
Basic Strategy:Tips : Position : Starting Hands : Bluffing : Betting : Money Management
The two cards that you are dealt at the start of a hand in Texas Hold'em are your weapons. If you want to play a hand, your cards need to be strong enough to fight against your opponents' cards to win the pot.
At the core of every winning poker player is good starting hand strategy.
Texas Hold'em starting hands table.
I'm not going to mess about here, I'm just going to give you the starting hand strategy table for you to get your teeth into. The tables below give starting hand recommendations for both full ring and short handed games depending on your position at the table.
How to use the starting hand strategy table.
First thing that you need to do is consider your position in the hand, because this is going to determine the range of cards that you are going to be able to play profitably.
- If you are in early position, you should stick to playing the hands in red only.
- If you are in middle position, you should play the hands in red, as well as the hands in blue.
- If you are in late position, you should play the red and blue hands, along with the hands in green.
So essentially, the better your position is at the table, the more hands you can play.
However, if you are in one of the later positions and there has been a raise before you, then you should forget about playing the hands in green, and stick with the ones in red and blue. This is because players raising from early position will typically have a strong hand, so you should also have a premium hand to play against them. Playing the green hands against a raiser from early position will usually put you in pretty bad shape.
Full ring starting hand strategy.
When you are playing at a full ring table that holds around 10 players, you really need to tighten up your starting hand selection. This is because the large number of players at the table increases the likelihood that at least one player has a premium hand, and so you want to be sure that you have one of the best hands at the table every time you see a flop.
The starting hand table may look to be very strict, but this is simply a rough guide to help beginner players find their feet in Texas Hold'em. After you start to learn the game and become more experienced, you can start to open up your starting hand selection to incorporate different hands in different situations. However, if you are a new player, it is advised that you stick with this table as it will give you the best shot at winning as you start out.
Short handed starting hand strategy.
Seeing as there are less players at the table, you can afford to open up your starting hand requirements quite a bit. If you stuck with the full-ring starting hand table, you would be playing too few hands and missing out on good opportunities to make money.
Short handed tables are going to be harder to play than the full ring tables because the action is generally going to be wilder and less predictable. You are almost forced to play more hands, which means that unless you know what you are doing, the chances are that you are going to lose more money than you would at a full ring game.
Again, just as with the full ring table, the short handed table is merely the basic guide for a beginner player. As you progress, you will be able to work out how to profitably include other starting hands into the line up. But as for now, stick with this table if you're just getting to grips with short-handed play.
Texas Holdem Starting Hands Percentages Calculator
Starting hand strategy overview.
If you are a new player, these tables are really going to help set you up in the right direction. Even though this has only been a pretty rough guide on which hands to play in each position, it should have helped to build a solid foundation for you to build upon.
A lot of the time, there are going to be other factors like the type of players who you are up against, and/or the action that has taken place before you that will have an influence on your decision to play a hand. It's always best to use your head in poker, rather than relying on a table or rule for every play you make. So whilst this table will be a handy guide for now, try not to rely on it too much, and start to develop your knowledge of good starting hand strategy as you play.
At the end of the day, poker isn't really poker if you are playing from a set of rules. Always try and use your head when making decisions - they will be more profitable that way.
Go back to the sublime Texas Hold'em guide.
Texas Holdem Starting Hands Ranking
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