A pair of aces is the best pre-flop hand in Texas Hold'em Poker

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]

Texas Hold’em is a community card game, one of the thre variations of poker. Other variants include Stud and Draw Poker. All poker games are played by two or more players who compete to try and make the best hand by using a defined hand ranking system. If you have played any other form of poker, 5-card draw rules are similar in that the aim of the game is to make the best five-card poker hand. Like Texas hold'em, the poker hand rankings, from.

5 card texas hold

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, AJ and AJ 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).

  1. In flop, the board gets 3 more cards, so it is basically a 5-card draw and in texas hold'em poker the best 5 cards are being compared between players. So in a simply way, I just wanna know how to make my simulation recognize that I am 1 card away from straight, like in my giving example. – swizes Oct 30 '16 at 8:13.
  2. The goal of a Texas hold'em game is to use your hole card and in combination with the community cards to make the best possible five-card poker hand. Hold'em is not unlike other poker games like.

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. 99). 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. A6). 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. KJ). 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.

TierHandsCategory
1AA, KK, AKs, QQ, AKTop 12 Hands
2JJ, TT, 99
388, 77, AQs, AQ
466, 55, 44, 33, 22, AJs, ATs, A9s, A8sMajority Play Hands
5A7s, A6s, A5s, A4s, A3s, A2s, KQs, KQ
6QJs, JTs, T9s, 98s, 87s, 76s, 65sSuited Connectors

Statistics based on real online play[edit]

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

TierHandsExpected Value
1AA, KK, QQ, JJ, AKs2.32 - 0.78
2AQs, TT, AK, AJs, KQs, 990.59 - 0.38
3ATs, AQ, KJs, 88, KTs, QJs0.32 - 0.20
4A9s, AJ, QTs, KQ, 77, JTs0.19 - 0.15
5A8s, K9s, AT, A5s, A7s0.10 - 0.08
6KJ, 66, T9s, A4s, Q9s0.08 - 0.05
7J9s, QJ, A6s, 55, A3s, K8s, KT0.04 - 0.01
898s, T8s, K7s, A2s0.00
987s, 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]

  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.
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Texas Hold Em Card Game

OBJECTIVE: To become a winner you should make up the highest possible poker hand of five cards, using the two initially dealt cards and the five community cards.

NUMBER OF PLAYERS: 2-10 players

NUMBER OF CARDS: 52- deck cards

RANK OF CARDS: A-K-Q-J-10-9-8-7-6-5-4-3-2

THE DEAL: Every player is dealt two cards face down which is commonly called ‘hole cards’.

TYPE OF GAME: Casino

AUDIENCE: Adults

Introduction to Texas Hold ‘Em

No Limit Texas Hold’em. Sometimes called the cadillac of Poker, Texas Hold ‘em is a fairly easy game to learn but can take years to master.

How to Play

To begin every player gets two pocket cards. A deck of cards is placed in the middle of the table and these are known as community deck and these are the cards that the flop will be dealt from.
Once all players have been dealt their initial two cards players will be asked to place their first bid. Once all players have placed their first bid a second round of bidding occurs.
Once all players have placed their final bids, the dealer will deal the flop. The dealer will flip over the first 3 cards, known as the “flop”, from the community deck. The goal is to make the best 5 card had you can with the three cards from the community deck and the two in your hand.
Once the first three cards have been flipped over, player will have the option to bid again or fold. After all players have had a chance to bid or fold, the dealer will flip over a fourth card known as a “turn” card.
The players still remaining will have the option to once again fold or bid. Now the dealer will flip the 5th and final card over, known as the “river”card.
Once all five cards have been flipped by the dealer, players will have one last chance to raise the bid or fold. Once all bids and count bids have been made it’s time for the players to reveal their hands and determine a winner.

First Round Betting: The Pre-Flop

When playing Texas hold ‘em a round flat chip or “disk” is used to represent the position of the dealer. This disk is placed in front of the dealer to indicate their status. The person sitting to dealer left is known as the small blind and the person sitting to the left of the small blind is known as the big blind.
When betting, both blinds are required to post a bet before receiving any cards. The big blind is required to post the equivalent or higher of the bet placed by the small blind. Once both blinds have posted their bids two cards are dealt to each player and remaining players can choose to fold, call, or raise. After the end of the game the dealer button is moved to the left so that every player takes on the blind position at some point to maintain the fairness of the game.
Fold – The action of surrendering your cards to the dealer and sitting out the hand. If one folds their cards in the first round of betting, they lose no money.

5 Card Hold'em

5 Card Texas Hold Em
Call – The action of matching the table bet, which is the most recent bet that has been placed on the table.
Raise – The action of doubling the amount of the most recent bet.
The small and the big blind have the option to fold, call, or raise before the first round of betting ends. If either of them choose to fold, they will lose the blind bet that they initially placed.

Second Round Betting: The Flop

After the first round of betting ends the dealer will proceed to deal the flop. Once the flop has been dealt, players will access the strength of their hands. Again, the player to the left of the dealer is the first to act.
Since there is no compulsory bet on the table, the first player has the option to to take the three previous options discussed, call, fold, raise, as well as the option to check. To check, a player taps his hand twice on the table, this allows the player to pass the option to make the first bet on to the player to his left. All players have the option to check until a bet has been placed on the table. Once a bet has been placed, players must choose to either fold, call, or raise.

Third & Fourth Round Betting: The Turn & The River

After the second round of betting closes, the dealer will deal the fourth card of the flop, known as the turn card. The player to dealer left has the option to check or place a bet. The player that opens the bet closes the bet, after all other players have chosen to fold, raise, or call.
The dealer will then add the bets to the existing pot and deal a fifth card known as “The River”. Once this card has been dealt, the remaining players have the option to check,fold, call, or raise. Lets say all players decide to check. If that is the case it is time for all remaining players to reveal there cards and determine the winner. The player with the highest ranking hand is the winner. They receive the full pot and a new game begins.

Ties

In the chance of a tie between hands the following tie-breakers are used:

Pairs– if two players are tied for highest pairs a “kicker” or the next highest-ranking card is used to determine the winner. You continue until one player has a higher-ranking card or both are determined to have the same exact hand, in which case the pot is split.

Texas

Two pairs– in this tie, the higher ranked pair wins, if top pairs are equal in rank you move to the next pair, then move to kickers if necessary.

Three of a kind – higher ranking card takes the pot.

Straights – the straight with the highest-ranking card wins; if both straights are the same the pot is split.

Flush – The flush with the highest-ranking card wins, if the same you move to the next card till a winner is found or hands are the same. If hands are the same split the pot.

Full house – the hand with the higher ranking three cards wins.

Four of a kind – the higher ranking set of four wins.

Straight flush – ties are broken the same as a regular straight.

Royal Flush – split the pot.

Hand Ranking

2. Pair – Two of the same the same card (9,9,6,4,7)
3. Two pair – Two pairs of the same card (K,K,9,9,J)

Texas 5 Card Holdem Rules

4. Three of a kind – Three cards of the same ( 7,7,7,10,2)
6. Flush – Five cards of the same suit
7. Full House – Three card of a kind and a pair (A,A,A,5,5)

How To Play 5 Card Texas Hold'em

9. Straight Flush – Five cards in order all of the same suit (4,5,6,7,8 – same suit)
Card
10. Royal Flush – Five cards in order of the same suit 10- A (10,J,Q,K,A)