Poker Starting Hand Strength Chart

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.

1. Expected Value Chart by Position. These statistics were compiled by a major online poker room from an expected value page from their database of millions of real live hands. Positive expectation hands are indicated by black numbers while negative expectation hands are indicated by red numbers.
2. Starting Hands & Table Position Chart Whether you are an experienced poker player, or just getting to know the game, you might find the Starting Hands Chart below helpful to improve your game.
3. In Hold'em the No. 1 starting hand (A♥ A♠) holds 83% preflop equity over the second-best starting hand (K♥ K♠). In Omaha the best starting hand (A♥ A♠ K♥ K♠) is only 33% to win (41% to tie) against the second-best starting hand (A♦ A♣ T♦ J♣).

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.

Statistics based on real online play[edit]

Statistics based on real play with their associated actual value in real bets.^[3]

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]

1. ^David Sklansky and Mason Malmuth (1999). Hold 'em Poker for Advanced Players. Two Plus Two Publications. ISBN1-880685-22-1
2. ^Hold'em Excellence: From Beginner to Winner by Lou Krieger, Chapter 5, pages 39 - 43, Second Edition
3. ^http://www.pokerroom.com/poker/poker-school/ev-stats/total-stats-by-card/^{[dead link]}
4. ^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.
5. ^Martain, Tim (2007-07-15). 'A little luck helps out'. Sunday Tasmanian. Retrieved 2010-01-10.

Knowing what beats what in poker or Texas Hold’em is an important early step in learning the game. To help you out, I have provided for you an attractive printable or downloadable “cheat sheet” for both 5 card hand rankings as well as top 24 pre-flop starting hands.

Poker hands ranked from best to worst:

1. Royal Flush
2. Straight Flush
3. Four of a Kind
4. Full House
5. Flush
6. Straight
7. Three of a Kind
8. Two Pair
9. One Pair
10. High Card

To make things easier on you, I have included some handy charts that can be used to reference during play or even printed out.

Poker Hand Rankings Chart

Poker Starting Hand Strength Chart Metric

Never forget what beats what again. Feel free to save this to your phone/tablet/computer or print the chart out.

Click below to download a high-quality PDF that includes a printable copy of both the showdown and pre-flop hand rankings.

The Top 24 Hold’Em Starting Hand Rankings

To help you out, I have also included the top 24 no-limit hold’em starting hands to give you a further idea of what beats what in poker. I based this list on both raw equities as well as post-flop playability.

I have used over 10 years of experience in both tournaments and cash games to compile this info. You get to benefit from my hard work!

How These Hands Were Determined

I took a look at a few of the pre-flop hand ranking charts out there and, while most appeared to get it right for the most part, there seemed to be something off.

The thing is, everyone always does pretty well on the top 5 or 6 hands. However, after that things get a bit murkier.

So, what really matters when it comes to weighing hand strength? I decided to take a close look at the problem. Using the knowledge I’ve gained over the past few years, I tried to come up with a better way of codifying hand rankings.

Determining the Overall Playability of Each Hand

I decided to go about it from a logical standpoint. When deciding whether to play a hand or not, what are the factors a strong player considers before acting?

So, I decided that there are basically two main factors to consider in determining the strength of a particular pre-flop hand. And, since equity is the tool we use to rank the value of hands I just had to figure out what type of equities matter most and then apply it to each factor.

Once I was able to define which equities to consider, it just took a bit of math.

1. Pre-Flop Equity

The first equity I decided to factor in is a hand’s raw pre-flop equity. I mean, sometimes you need to get all-in before the flop, right?

Of course, some hands will get all-in more frequently than others but for the sake of simplicity, raw equity against a strong range will give us a decent enough metric to come up with a comparative ranking.

2. Post-Flop Equity

Secondly, we need to factor in how a hand does post-flop. There’s no doubt, that certain hands play much better after the flop than others.

To calculate how well a hand does after the flop I looked at what post-flop hands tend to get all-in most of the time in a post-flop scenario. This includes the strongest made hands, including top pair and better, as well as strong draws.

Once I was able to figure out what hands are likely to get all-in, I just had to figure out the equity of every hand versus that range on a random flop.

Compiling the Final List

Doing these kinds of calculations by hand would be extremely difficult and time-consuming. Luckily, there is a software program called Cardrunner’s EV that does the math for me.

After I figured out both the raw pre-flop equity and the likely flop equity of each hand, I just used excel to average them. That data was used to compile the rankings.

Here are the final equity percentages:

Poker Starting Hand Strength Chart Vs

Which Poker Starting Hand Ranges Should I Use?

Knowing which hands to open raise is important to your success. Don’t worry, I’ve got you covered.

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FAQ

What if my opponent and I have the same hand at showdown?

If more than one player has the same hand then you have to follow the tie-breaker rules to determine the winner.

If two or more players have a flush or straight

In the case where two players have a flush or straight, the person who has the highest card in their hand wins. For example, T9876 beats 76543.

If two or more players have a full house

In the case of multiple full houses, the player with the highest “trips” as part of their full house wins. For example, TTT22 beats 555AA.

What if two or more players have the same pair or two pair?

Poker Starting Hand Strength Charts

If multiple players have exactly the same two pair, the highest kicker is used to determine the winner. For example, JJ66Q beats JJ66T.

The same process is used for one-pair. The next highest kicker is used. If that is the same, you use the next highest kicker. So on and so forth until the tie is broken. For example, AAK85 beats AAK84.

Who wins if more than one person has the same high card?

Poker Starting Hand Strength Chart For Men

Similarly to one pair and two-pair hands, you use the next highest kicker to determine the winner. You keep moving on to the next kicker until a winner is determined. For example, KT763 beats KT753.

Which is better, trips or two-pair?

Three of a kind beats two-pair. It also beats a pair and high card.

Which is better, a flush or a straight?

A flush beats a straight. It also beats three of a kind, two pair, a pair, and high card.

What is the worst hand in poker?

The worst hand against multiple players is 72 offsuit. The worst hand heads-up is 32o.

Poker Starting Hand Strength Chart Women

What are the odds of getting a Royal Flush in Texas Hold’em?

A royal flush is extremely rare. You can only expect to get a royal flush once every 650,000 hands. That doesn’t mean it’s guaranteed. Personally, I have played well over 5 million hands and have only had one royal using both cards.

Poker Starting Hand Strength Chart

Final Thoughts

Poker Starting Hand Strength Chart Printable

I hope this article has helped you learn more about how hand rankings work in poker. If you want to learn about basic poker strategy, be sure to check out my detailed no-limit hold’em basic tutorial.