Poker Hands Odds Chart
- Texas Holdem Heads-Up Preflop Odds. This table was created by enumerating through every possible board and opponent hole card combination for each of the 169 texas holdem preflop starting hands.
- How many Poker Hands are there? There are only 10 distinct poker hand ranks, but if you randomly deal 5 cards from a deck of 52 cards there are exactly 2,598,960 possible card combinations. Poker Hand Odds for 5-Card-Poker. The poker hand ranking charts are based on the probability for each distinct hand rank.
- Poker Starting Hands Odds Chart
- Poker Hands Chart With Odds
- Poker Hand Odds Preflop Chart
- Poker Hand Odds Percentages
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.
Table #3 – Poker Odds Chart. As you can see in the above table, if you’re holding a flush draw after the flop (9 outs) you have a 19.1% chance of hitting it on the turn or expressed in odds, you’re 4.22-to-1 against. The odds are slightly better from the turn to the river, and much better when you have both cards still to come.
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]
Poker Starting Hands Odds Chart
- ^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.
Poker Hands Chart With Odds
Chances of hitting, flopping and holding certain hands
These odds are a must know if you want to advance your game to a high level. For exact odds you can check out our poker hand odds calculator. We rounded the number to the nearest decimal for you.
Poker Hand Odds Preflop Chart
You should know what beats what in poker before trying to apply these odds or playing like you see poker on tv and in commercials.
Scenarios – Chances of Having Certain Hands | Examples | Probability | ||
Chances of Being Dealt | ||||
Pair | 6h 6d | 6% | ||
Suited Cards | Ah 10h | 24% | ||
Connecting Suits | 2d 3d | 4% | ||
Aces or Kings | AA KK | .9% | ||
Ace King | AhKs | 1.2% | ||
Ace King Suited | AhKh | .3% | ||
An Ace | A3 | 16% | ||
Cards Jacks or Higher not Paired | KJ | 9% | ||
Not Suited & Not Connected | 9h 4s | .9% | ||
Bad Beats | ||||
Bad Beat ex: Aces vs Kings heads up | AA vs KK | .004% | ||
Chances of Hitting on Flop | ||||
Pocket Pair Into A Set | JJ into JJJ | 8% | ||
Pair Turning Into A Set On Turn | 4% | |||
Hitting Pair on Flop | 32% | |||
Flopping Four To Flush-You hold 6h7h-flop comes-> | Ah Kh 2s | 11% | ||
Chances of Board Coming All Same | 5h 5s 5d | .004% | ||
Number of Players To Flop Odds | ||||
Situation – Chances someone hit top pair on board | ||||
5 players see flop | 58% | |||
4 players see flop | 47% | |||
3 player see flop | 35% | |||
2 player see flop | 23% | |||
After Flop – Chances of Making Hand | ||||
Making open straight – You hold 67 Flop comes 8,9,2 | turn 10 | 34% | ||
Two pair to full house – You- 47 Board 4,7,10 Turn –> | 7 | 17% | ||
Hitting A Gut Shot Straight | 17% | |||
Backdoor Flush – You have 1 spade – Board 2s4h8s | 10s 7s | 4% | ||
Runner Runner Straight | 1.5% | |||
Hitting Either Gut Shot Straight or Backdoor Flush | 21% | |||
Pairing An Ace on Turn or River | 13% | |||
Before Any Cards Are Dealt – Chances of Getting | ||||
Royal Flush (All Spades) | AKQJ10 | .0002% | ||
Straight Flush (Any same suits) | 56789 | .0012% | ||
Four of a Kind (Quads) | 5555K | .0239% | ||
Full House (Boat) | 33322 | .144% | ||
Flush (all same suit) =>all hearts | 37K48 | .19% | ||
Straight | 34567 | .35% | ||
Three of a Kind | 555AK | 2.11% | ||
Two Pair | AAKK2 | 4.7% | ||
One Pair | 77253 | 42% | ||
Don’t catch anything | 2854K | 50% |
Why Poker Odds Matter
Why Odds Matter To any good Texas Holdem players these odds come naturally. They may not know the exact percentage but they instinctively know their odds. Referencing this table is a great way to understand your percentages if you are a new player or if you want to calculate your pot odds.
Poker Hand Odds Percentages
We developed what we believe are the best formulas for calculating pot odds that you will find on the internet. It is the same way the pros calculate their pot odds and we also simplified it for those of you who are not that good at math. Check out the Pot Odds section.