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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.
(See Probabilities for 5 card poker hands with misc. Wild cards for additional details.) The first calculation that must be made is to determine the total possible poker hands. A poker hand consists of 5 cards randomly drawn from a deck of 52 cards. The best possible five-card poker hand, using exactly two hole cards and three community cards, wins the pot. Betting Rounds The dealer deals each player four cards face down (hole cards or pocket. Possible Poker Hands in a 52-Card Deck: Straight Flush Possible hands = 40 Chances = one in 64,974 Four of a Kind 624 one in 4165 Full House 3,744 one in 694 Flush 5,108 one in 509 Straight 10,200 one in 255 Three of a Kind 54,912 one in 47 Two Pairs 123,552 one in 21 One Pair 1,098,240 one in 2.36 Only Singles 1,302,540.
- 2Limit hand rankings
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).
An alternative means of making this calculation
First Step As confirmed above.
There are 2652 possible combination of opening hand.
Second Step
There are 6 different combos of each pair. 9h9c, 9h9s, 9h9d, 9c9s, 9c9d, 9d9s
To calculate the odds of being dealt a pair
2652 (possible opening hands) divided by 12 (the number of any particular pair being dealt. As above)
2652/12 = 221
- Suited hands, which contain two cards of the same suit (e.g. A♣6♣). Four hands out of 17 will be suited, and each suited configuration occurs with probability 2/663 (P(suited) = 12/51 = 4/17).
- Offsuit hands, which contain two cards of a different suit and rank (e.g. K♠J♥). Twelve out of 17 hands will be nonpair, offsuit hands, each of which occurs with probability 2/221 (P(offsuit non-pair) = 3*(13-1)/51 = 12/17).
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.
There are 25 starting hands with a probability of winning at a 10-handed table of greater than 1/7.[1]
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[2] 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.[3]
- 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.[4]
| 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.'[5][6] 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.
List Of All Possible Poker Hands Movie
Notes[edit]
- ^No-Limit Texas Hold'em by Angel Largay
- ^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/
- ^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.
List Of All Possible Poker Hands Online
In hold'em, players receive two down cards as their personal hand (holecards), after which there is a round of betting. Three board cards are turned simultaneously (called the flop) and another round of betting occurs. The next two board cards are turned one at a time, with a round of betting after each card. The board cards are community cards, and a player can use any five-card combination from among the board and personal cards. A player can even use all of the board cards and no personal cards to form a hand ('play the board'). A dealer button is used. The usual structure is to use two blinds, but it is possible to play the game with one blind, multiple blinds, an ante, or combination of blinds plus an ante.List Of All Possible Poker Hands Pictures
Rounds of Betting
How Many Poker Hands Possible
- Opening deal- Each player is dealt two cards face down, which are known as hole cards or pocket cards.
- First round of betting- Starting with the player to the left of the big blind, each player can call the big blind, raise, or fold. The big blind has the option to raise an otherwise unraised pot.
- The flop- The dealer burns a card, and then deals three community cards face up. The first three cards are referred to as the flop, while all of the community cards are collectively called the board.
- Second round of betting- Starting with the player to the left of the dealer button, each player can check or bet. Once a bet has been made, each player can raise, call, or fold.
- The turn- The dealer burns another card, and then adds a fourth card face-up to the community cards. This fourth card is known as the turn card, or fourth street.
- Third round of betting- It follows the same format as the second round, but the size of the bets have usually doubled in limit games.
- The river- The dealer burns another card, and then adds a fifth and final card to the community cards. This fifth card is known as the river card, or fifth street.
- Final round of betting- It follows the same format as the second and third rounds.
- The showdown- Using the best five-card combination of their hole cards and the community cards, the remaining players show their hands, with the bettor or last raiser showing first. The highest five-card hand wins the pot. (In case of a tie, the pot is evenly split among the winning hands.)
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- These rules deal only with irregularities. SeeButton and Blinduse for rules on that subject.
- If the first or second hole card dealt is exposed, a misdeal results. The dealer retrieves the card, reshuffles, and recuts the cards. If any other holecard is exposed due to a dealer error, the deal continues. The exposed card can not be kept. After completing the hand, the dealer replaces the card with the top card on the deck, and the exposed card is then used for the burncard. If more than one hole card is exposed, this is a misdeal and there must be a redeal.
- If the flop contains too many cards, it must be redealt. (This applies even if it is possible to know which card is the extra one.)
- If the flop needs to be redealt because the cards were prematurely flopped before the betting was complete, or the flop contained too many cards, the board cards are mixed with the remainder of the deck. The burn card remains on the table. After shuffling, the dealer cuts the deck and deals a new flop without burning a card.
See Explanations,discussion #2, for more information on this rule. - If the dealer turns the fourth card on the board before the betting round is complete, the card is taken out of play for that round, even if subsequent players elect to fold. The betting is then completed. The dealer burns and turns what would have been the fifth card in the fourth card's place. After this round of betting, the dealer reshuffles the deck, including the card that was taken out of play, but not including the burn cards or discards. The dealer then cuts the deck and turns the final card without burning a card. If the fifth card is turned up prematurely, the deck is reshuffled and dealt in the same manner.
See Explanations,discussion #2, for more information on this rule. - If the dealer mistakenly deals the first player an extra card (after all players have received their starting hands), the card is returned to the deck and used for the burn card. If the dealer mistakenly deals more than one extra card, it is a misdeal.
- If you are playing the board, you must so declare before you throw your cards away; otherwise you relinquish all claim to the pot.