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). The most important aspect of reading this hold'em EV chart however, is to be able to understand the basic theory of which hands perform well and why. You'll see that position is a great factor in expected value, as hands in later position almost always win the most of any hand and also have a consistent pattern at winning money.
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.
Most Commonly Asked Poker Questions
Not sure what beats a full house or what a straight can beat? Here are the answers to the most commonly-asked poker questions this side of the Strip.
Does a flush beat a full house?
No. A full house beats a flush in the standard poker hand rankings. The odds against making a full house in a game of Texas Hold’em are about 36-to-1, while the odds against making a flush are 32-to-1. The full house is a more rare hand and beats a flush.
Does a flush beat a straight?
Yes. Using the standard poker hand rankings, a flush beats a straight, regardless of the strength of the straight. The odds against making a straight in Texas Hold’em are about 21-to-1, making it a more common hand than a flush (32-to-1 odds against).
Does a straight beat a full house?
No. The odds against making a full house in Texas Hold’em are about 36-to-1, while the odds against making a straight are about 21-to-1. Both are strong five-card hands, but a full house occurs less often than a straight. A full house beats a straight in the poker hand rankings.
Does three of a kind beat two pair?
Yes. Both three of a kind and two pair can make a lot of money in poker, but three of a kind is the best hand when it goes head to head with two pair. The odds against making three of a kind in Texas Hold’em is about 20-to-1, while the odds against making two pair is about 3-to-1.
Does three of a kind beat a straight?
No. The odds of making both of these hands are very close in a game of Texas Hold’em. The odds against making a straight are 20.6-to-1, while the odds against making three of a kind are 19.7-to-1. The straight comes about slightly less often, making it the winner against three of a kind in the poker hand rankings.
Does a flush beat three of a kind?
Yes. The battle of strong hands between a flush and three of a kind sees the flush as the stronger hand. The odds against making a flush in Texas Hold’em are about 32-to-1, with odds against making three of a kind at around 20-to-1.
Does a straight beat two pair?
Yes. The poker hand rankings dictate that a straight is a stronger hand than two pair. The straight occurs with about 21-to-1 odds against in Texas Hold’em, while the odds against making two pair stand at about 3-to-1.
Does four of a kind beat a full house?
Yes. Both four of a kind and a full house are among the strongest poker hands, but four of a kind is a much rarer holding. Texas Hold’em odds against making four of a kind are 594-to-1, while you have about 36-to-1 odds against making a full house.
No Limit Hold'em Starting Hand Chart
Does three of a kind beat a flush?
No. When the flush and three of a kind go head to head, the flush comes out as the best according to the poker hand rankings. The odds against making three of a kind sit around 20-to-1, with the odds against hitting a flush at 32-to-1.
Does a full house beat a straight in poker?
Yes. The full house comes in less often than a straight. In Texas Hold’em, the odds against drawing a full house are around 36-to-1, while the odds against making a straight are around 21-to-1.
Texas Holdem Poker Hands Chart
Does a straight flush beat four of a kind?
Yes. Four of a kind is an exceedingly rare hand in poker, but the straight flush is an even more elusive five-card hand. The odds against making a straight flush in Texas Hold’em is about 3,590-to-1, much rarer than four of a kind (594-to-1 odds against)