Starting Hands


Starting Hand Rankings

The starting hand is your pre-flop hand made up of your two pocket cards. There are 1326 possible starting hands in Texas Hold'em when considering all the possible ranks and suits of the pocket cards.

Number of Hold'em starting hands: 1326

The overall ranking of a starting hand can be defined as its pot equity when compared to all other starting hands:

Pot Equity: The average portion of the pot that will be won across all possible combinations of community cards in a showdown. This includes all the wins, ties and losses. The pot equity does not remain the same throughout the hand because as the community cards are dealt, the strengths and weaknesses of a hand changes. The pot equity has to be reassessed with every new community card that comes into play.

Without digging any deeper we proceed to the rankings which you will have to take at face value. Bear in mind that these rankings are very general and that the all around worst starting hand facing the all around best starting hand does not yield the worst possible odds. What is generally best is not always best and what is generally worst is not always worst. Going to the showdown with the best possible starting hand is no guarantee for winning. The starting hand rankings can only be used as guidance on the pre-flop. On the flop, turn and river you have the community cards affecting your hand ranking as well. A higher ranking starting hand has better odds of winning across the full spectrum of community cards but far from all combinations of community cards will be favourable.

Top 10 starting hands
1. AA
2. KK
3. QQ
4. AK
5. JJ
6. AQ
7. TT
8. 99
9. KQ
10. AJ
10 worst starting hands
1. 27
2. 28
3. 37
4. 26
5. 29; 39; 49
6. 2T
7. 59
8. 47, 48, 58, 36
9. Face card + low card, off suit
10. A + low card, off suit

Please observe that the lists above represent a lot more than 20 actual hands. We have already established that the total number of possible starting hands is 1326. The top 10 hands represent 100 of those hands while the 10 worst hands represent 448 of those hands.


 Starting Hands Examples

►AA represent 6 starting hands: AcAd; AcAh; AcAs; AdAh; AdAs: AhAs

►AK represent 16 starting hands: AcKc; AcKd; AcKh; AcKs; AdKc; AdKd; AdKh; AdKs; AhKc; AhKd;AhKh; AhKs; AsKc; AsKd; AsKh; AsKs.

The best starting hands have high ranking cards and relatively good odds to form trips or higher while the worst starting hands have low ranking cards and relatively bad odds to form anything higher than pair. The top five hands are known as premium hands and when you get one of them you will in most cases win the showdown.

Premium hands: AA, KK, QQ, AK, JJ 

It is important to understand that the pot equity of your starting hand is a variable that depends on what starting hands you are up against. The starting hand rankings are based on the relative pot equity across the whole spectrum of starting hands but whenever you play a hand you will only be facing a few starting hands and your exact pot equity will depend on the specific pocket cards of your opponents.


  Starting Hand Pot Equity Examples

►When comparing the overall best starting hand (AA) to the worst possible possible starting hand in a heads up situation between the two (A6 off suit), the Aces have 93.86% pot equity. This means that the Aces will on average win 93.86% of the pot. The pot equity odds are 15.28:1. The reason why A6 off suit is the worst possible hand you can face AA with is that you will be one step behind almost regardless of community cards.

►When comparing the overall best starting hand (AA) to the all around worst starting hand (27 of same suits as the Aces), the Aces have 88.98% pot equity. The pot equity odds are 8.07:1.  

►When comparing AA to 27 of different suits than the Aces, the Aces have 87.42% pot equity. The pot equity odds are 6.95:1.

►When comparing the all around best possible starting hand (AA) to the all around second best starting hand (KK of different suits than the Aces), the Aces have 81.26% pot equity leaving the Kings with only 18.74%. The pot equity odds are 4.34:1.

►When comparing AA to KK of same suits as the Aces, the Aces have 82.64% pot equity. The pot equity odds are 4.68:1.

►When comparing the best possible pocket pair (AA) to the worst possible pocket pair (22 of same suit as the Aces), the Aces have 82.89% pot equity. The pot equity odds are 4.84:1. Should the lower pair be of different suit, the figure would be 81.55%, making the odds 4.42:1.

►When comparing AA (6 specific starting hands) to KK, QQ and JJ at the same time we get the following distribution of pot equity:
AA: 54.51%
KK: 17.82%
QQ: 14.80%
JJ: 12.87%

The take home message is that you can never have over 94% pot equity with any starting hand. You can realistically expect around 85% against a SINGLE opponent on the rare occasions when you hold the overall strongest starting hand AA. It is also important to note that it does not make much of a difference to your pot equity if your opponent holds a high or low pair as long as your pair is higher. Another important relationship is that the weaker your starting hand and the more starting hands you are up against, the worse your pot equity. When holding AA and facing many and relatively strong starting hands such as KK, QQ and JJ you could be looking at a pot equity near the 50% mark which is a generous portion by any measure but still a lot less than 85%. A starting hand is profitable to play in the long run as long as its pot equity is bigger than the portion of the pot made up by your bets. Unfortunately you can't see the specific pocket cards held by your opponents and as a consequence you can never know your exact pot equity. Pot equity is on top of that extremely complicated to calculate on the fly and fact of the matter is that not even the professional players do that. The key to success is to memorize the most important data and the starting hand rankings are a good place to start.


High, Medium, Low, Rag & Kicker

Hold’em is a game of high cards or more specifically; a game of high pocket cards. This is because the majority of cards that form your hand are shared by all players and that makes your pocket cards decisive. They set you apart from the other players and will ultimately decide winner, loser and ties.  

The thirteen card rankings are loosely divided into three groups as follows:  

High: A thru T (A, K, Q, J, T)
Medium:
9 thru 7 (9, 8, 7)
Low:
6 thru 2 (6, 5, 4, 3, 2) 

We need a few more definitions to finish what we have started:  

Uncoordinated Cards: Cards that can’t be part of the same straight.
Coordinated Cards:
Cards that can be part of the same straight.
Rag:
Off suit uncoordinated low or medium card.
Kicker:
The pocket card that does not affect the immediate ranking of your hand. At the pre flop it is the lower of your two pocket cards. Later on the kicker can be also be the higher pocket card depending on the community cards.  


Rag & Kicker Example

In a starting hand of A9 off suit, the 9 qualifies as a rag, making the combo an A-rag. It can’t form a straight, nor a flush. The 9 is the kicker and the kicker is a rag.  

The winner in a game of Hold’em is frequently decided by the rank of the kicker. Having an Ace among your pocket cards is a very good thing but remember that no high ranking card is stronger than its kicker. A low kicker is never good and a medium kicker is rarely good. A rag is always bad news. You should note that the most frequently played starting hand in Hold’em is A + face card.

Face cards: Jacks, Queens, Kings
Most frequently played starting hand in Hold'em: A + face card

We will now present the odds of getting high pocket cards in the first place:

Starting Hand Chance Odds
High Cards 14.3% 6:1 against
Ace + Face Card 3.6% 26:1 against


Pocket Pairs

Two pocket cards of the same rank are known as a pocket pair. They are the only made hands among the starting hands. Pocket pairs are generally very good starting hands, some are in fact the best, but their rank must always be considered. A pocket pair is not necessarily better than other combinations of pocket cards.  


Pocket Pair Pot Equity Examples

►QQ is an overall better starting hand than AK.
►AK is an overall better starting hand than JJ.
►KQ is an overall better starting hand than 88.  

Only the three highest ranking pocket pairs are undisputed and as you continue down the ranks you find an increasing amount of other combinations preceding each pair. A high pocket pair is an overall superior starting hand; a medium pocket pair is border line and a low pocket pair is not much to rely on. Ultimately it depends on what hands your opponents are holding though.

Starting Hand Chance Odds
Pocket Pair 5.9% 16:1 against
High Pocket Pair 2.3% 43:1 against
Pocket Aces (or any specific pair) 0.45% 220:1 against

Suited & Connected Starting Hands

Suited and connected cards play a central role in Hold’em because flushes and straights do happen quite frequently and a lower ranking starting hand has slightly better odds against a higher ranking starting hand by not sharing suits or straights. By sharing suits or straights a lower ranking hand will lose even if it improves to a straight or flush. By not sharing suits or straights it has a better chance of winning.

Suited cards (abbreviated s): Cards of the same suit.
Off suit (abbreviated o)
: Cards of different suits.
Connectors: Consecutive pocket cards. This group comprises all suited and off suit combinations of consecutive cards.
Connected Cards
: See connectors.
Suited Connectors: Pocket cards that are both suited and consecutive.
Gap Connectors:
Cards that can be part of same straight but have one, two or three gaps between them. Connectors and gap connectors are loosely categorized as "connectors" in many poker schools but in this school we refer to strictly consecutive cards when we use the terms connectors or connected cards.

Pocket cards other than pocket pairs are overall better suited than off suit seeing as they have better odds of forming a flush with the community cards to come. The same goes for connectors which are are generally better starting hands than gap connectors and the bigger the gap, the worse the odds of forming a straight with the community cards to come.


Suited/Connected Examples

►KQs represent all suited combinations of KQ. There are four such combinations: KcQc; KdQd; KhQh; KsQs
►KQo represent all off suit combinations of KQ. There are twelve such combinations: KcQd; KcQh; KcQs; KdQhc ;KdQh; KdQs; KhQc; KhQd; KhQs; KsQc; KsQd; KsQh
►KQ are connectors. This combination represents sixteen starting hands (four suited and twelve off suit)
►KQs are suited connectors. This combination represents four starting hands.
►Kc and Ac are suited connectors. This is one specific starting hand.
►AQ are one-gap connectors. This combination represents sixteen starting hands.
►AJ are two-gap connectors. This combination represents sixteen starting hands.
►AT are three-gap connectors. This combination represents sixteen starting hands.
►ATs are three-gap suited connectors. This combination represents four starting hands.
►Ad and Td are three-gap suited connectors. This is one specific starting hand.
►KQs is an overall better starting hand than KQo.
►KQ is an overall better starting hand than AT.


Please observe that the rank of the pocket cards is much more important than whether the cards are suited or off suit; or connected or gap connected. The highest connectors AK are known as the big slick and they rank very high among the starting hands. The four suited combinations of AK are slightly better than the twelve off suit combinations but the difference is not big enough to warrant a distinction with respect to overall starting hand ranking. 

Big slick: AK

Here are the odds of getting these starting hands in the first place:

 

Starting Hand Chance Odds
Suited cards 24% 3.3:1 against
High suited cards 3.5% 28:1 against
Connectors 16% 5.4:1 against
High connectors 4.8% 20:1 against
AK (or any specific connectors) 1.2% 82:1 against
Suited connectors 3.7% 26:1 against
High suited connectors 1.1% 86:1 against
KQs (or any specific suited connectors) 0.3% 331:1 against

Starting Hands Bottom Line

As you may have noticed the rank of the pocket cards holds the key to the rank of the starting hand and there is a clear break point between good and bad odds around card rank 8. This allows us a very simple yet complete view of the starting hand landscape and makes it possible to establish the general starting hand theorem of Hold’em:

Texas Hold'em General Starting Hand Theorem

►High cards make your starting hand playable.
►Medium cards make your starting hand questionable.
►Low cards make your starting hand unplayable.  


This means that 85% of your starting hands are going to be trash which you can’t expect to win showdowns with under normal circumstances. This is why some call it Texas Fold’em.

 

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