Best Card Hands Order
Three cards in sequence of the same suit. An Ace can count as either high or low - e.g. Ties are broken by the highest ranked card in the hand except 3 is used for a 3, 2, Ace straight flush. Three of a Kind. Three cards of the same rank. Ties are broken by the rank of the three cards. If you have no pair, three of a kind, straight, flush, full house, etc., then the highest card in your hand is considered to be decisive. The hand above, in which the best card is a king and there is no other combination of poker hand, is known as “king-high”. Ace high beats king. A hand of poker can be won in two ways: either by betting and forcing your opponents to fold or by having the best poker hand at showdown. Poker hands consist of the best five-card hand made up from any combination of the cards you are dealt and the community cards. Poker Hand Rankings Chart Royal Flush. An ace high straight flush. Five consecutive cards in the same suit. Four cards of the same rank. Three cards of the same rank with two cards of another same rank. Five cards in the same suit (not.
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).
Best Card Hands In Poker
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.
3 Card Poker Hand Ranking
Below is the ranking of hands as used in the casino table game of Three Card Poker. Here are a few quick notes on the game:
- Cards are drawn from a standard 52 card deck without replacement.
- Rankings are listed from highest to lowest.
- When a hand qualifies for two ranks the highest is used.
- Suits are not used to break ties.
1. Straight Flush
Three cards in sequence of the same suit.
An Ace can count as either high or low - e.g. A K Q or 3 2 A
Ties are broken by the highest ranked card in the hand except 3 is used for a 3, 2, Ace straight flush.
2. Three of a Kind
Three cards of the same rank.
Ties are broken by the rank of the three cards.
3. Straight
Three cards in sequence.
Ties are broken by the highest ranked card in the hand except 3 is used for a 3, 2, Ace straight.
4. Flush
Three cards of the same suit.
Ties are broken by rank of the highest card, if still tied by the rank of the second highest card and if still tied by rank of the third highest card.
5. Pair
Two cards of the same rank and a third card of different rank.
Ties are broken by rank of the paired cards and if still tied by rank of the unpaired card.
6. Nothing
Three cards of different rank and suit, not in sequence - i.e. not any of the above ranked hands.
Ties are broken by rank of the highest card, if still tied by the rank of the second highest card and if still tied by rank of the third highest card.
Related Pages
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