Odds Of Each Hand In Texas Holdem

Ultimate Texas Hold'em Return Analysis. Each hand presents about 52 possible outcomes. Assume that a player is using optimal Ultimate Texas Hold'em Strategy. Look at the table below to see the each hand's probability and its contribution to the total return. A 4x raise is also known as a 'large raise,' a 2x raise as 'medium,' and 1x as 'small.' Six-plus hold 'em (also known as Short-deck hold 'em) is a community card poker game variant of Texas hold 'em, where cards 2 through 5 are removed. Each player is dealt two cards face down and seeks make his or her best five card poker hand using from any combination of the seven cards (five community cards and their own two hole cards).

• Odds Of Getting Hands In Texas Holdem
• Odds Of Each Hand In Texas Holdem Rules
• Odds Of Each Hand In Texas Holdem Tournament
• Odds Of Each Hand In Texas Holdem Tournaments
• Odds Of Hands In Texas Holdem

Introduction

Rules

1. A single 52-card deck is used. All cards count as its poker value. Aces may be high or low.
2. One player is designated as the dealer, usually with a laminated marker. This person does not have to physically deal the game. However it is important that a symbolic dealer position rotate around the table.
3. The player to the dealer's left must make a 'small blind' bet. The player to the left of the small blind must make a 'big blind' bet. The amounts of both blinds should be specified in advance. The purpose of the blinds is to get the ball rolling with some money in the pot.
4. Two cards shall be dealt down to each player, starting with the person to the dealer's left.
5. The player to the left of the big blind must either call or raise the big blind bet. The play in turn will go around the table according to normal poker rules, which I assume the reader already knows. Table rules will specify any limits on the size or number of allowed raises.
6. The small blind may also raise the big blind. If nobody raises the big blind the player making the big blind has the option to raise his own bet. The term for this is the 'big blind option.'
7. Three community cards will be dealt face up in the center of the table. This is called the 'flop.'
8. Another round of betting will ensue, starting with the player to the dealer's left.
9. A fourth community card will be dealt face up in the center of the table. This card is called the 'turn.'
10. Another round of betting will ensue, starting with the player to the dealer's left. Generally the minimum bet is double the first two rounds of betting.
11. A fifth and final community card will be dealt face up in the center of the table. This card is called the 'river.'
12. Another round of betting will ensue, starting with the player to the dealer's left. The minimum bet is generally the same as the previous round.

13. Each player still in the game at the end will determine the highest poker value among his own two cards and the five community cards. It is NOT a requirement that the player use both of his own cards. The player with the hand of highest poker value shall win. Following are the hand rankings.

    1. Straight flush: Five consecutive and suited cards. For example 5, 6, 7, 8, 9.
    2. Four of a kind: Four cards of the same rank, plus any fifth card. For example Q, Q, Q, Q ,4.
    3. Full house: Three of a kind and a pair. For example 6, 6, 6, J , J.
    4. Flush: Any five cards of the same suit, except for a higher ranking straight flush. For example A, Q, 8, 4 , 3.
    5. Straight: Five consecutive cards, except for a higher ranking straight flush. For example 8, 9, 10, J, Q.
    6. Three of a kind: Three cards of the same rank, plus any other two cards. For example 5, 5, 5, Q ,2 .
    7. Two pair: Two pairs, plus any fifth card. For example 8, 8, 2, 2 ,Q .
    8. Pair: A pair and any other three cards. For example 7, 7, 2, 5 ,A .
    9. ? High: Any five cards that do not form any higher poker hand. A king high hand for example might be K, Q, 7, 5 ,4 .
14. If two or more players have poker values of the same rank then the individual cards will be used to break the tie. If necessary all five cards will be considered.
15. I get asked a lot whether the two unused cards in a player's hand are used to break a tie. The answer is a firm NO. The two unused cards do not matter.
16. If a new player arrives at the table he should either wait for the big blind position or put up an amount equal to the big blind, amounting to a call of the big blind.
17. If a bet is made after another player runs out of money, then a separate pot is created. The player that ran out of money is not eligible to win the second pot. If more than one player runs out of money then multiple separate pots can be created.
18. In formal games players may not bet with cash or buy chips with cash in the middle of a hand.
19. There are numerous rules of etiquette, which I won't get into.
20. There house may set the betting rules. There are three main types. A 'structured' game features raises of specified amounts. For example a '3/6 game' would mean that raises after the deal and flop are $3, and after the turn and river are $6. There is usually a limit to the number of raises a player may make, typically three. A 'pot limit' game has structured minimum raises but the maximum raise may be anything up to the amount in the pot at the time the raise is made. A 'no limit' game also has structured minimum raises but there is no maximum raise.

Examples

Example 1

Board: A, 2, 4, 5, 6
Player 1: J, 6
Player 2: 7, Q

Player 1 wins. Both have an ace high flush, so the second highest card is considered. Player 1's jack beats player 2's 7. The only way to have a flush tie is if the flush is entirely on the board and no hole cards are higher than the lowest card on the board in the same suit.

Example 2

Board: J, A, 7, 5, 6
Player 1: 2, J
Player 2: 10, J

Player 2 wins. Both have a pair of jacks so the singletons are considered. High highet singleton in both hands is an ace so the second highest singleton is considered. Player 1's second highest singleton is a 7, compared to player 2's 10. A 10 beats a 7 so player 2 wins.

Example 3

Board: A, A, K, Q, J
Player 1: Q, J
Player 2: Q, 2

Tie. Both have a two pair of aces and queens, with a king singleton. Some people incorrectly believe that in such cases the unused cards are considered, in this case player 1's pair of jacks beating player 2's jack/2. Only the top five cards matter. The jacks and deuce are irrelevant.

One of the most important aspects of Texas Hold'em is the value of each two-card hand before the flop. The decision of how to play your first two cards is something you face every hand, and the value of your first two cards is highly correlated to your probability of winning.

The following table shows my power rating for each initial 2-card hand in a 10-player game. The numbers are on a 0 to 40 scale. Basically, you should only play hands that are dark green, blue, or purple. Of course you should be more be more liberal in late position and picky in early position. If forced I would say you should need 10 points in late position and 19 points in early position to call the big blind. If your table is loose, as if often the case online, you can play a bit looser yourself.

Use the top table if you have a pair, the middle table if your cards are suited, and the bottom table if your cards are unsuited. Except for a pair,look up your high card along the left and your low card along the top.

Following are the links to my tables of the value of each intial hand according to the number of players. The 10-player section explains the methodology for creating the table table.

Pot Odds

The following table shows the probability of making various hands after the flop and the correct 'pot odds.' The pot odds are the breakeven ratio of money in the pot to the amount you have to bet for the player to be indifferent about calling, assuming the player would definitely win if he makes the hand (a big if) and there are no additional bets (another big if). This table is a good starting point the player should make mental adjustments for the probability of winning without making the hand, losing with making the hand, and expected future bets. The odds of a two pair improving to a full house are the same as those for four to an inside straight.

Pot Odds — After Flop

The next table shows the pot odds after the turn.

Pot Odds — After Turn

Hand Strength Calculator

I'm proud to present my new and improved Poker Odds Calculator. Enter any situation in Texas Hold 'Em, and it will tell you the probability of each possible outcome.

Poker Tournament Calculator

My Poker Tournament Calculator will determine each player's probability, for up to nine players, of finishing in each place, and his expected share of any prize pool, assuming equal skill among all players. It produces the same results as what is known as the Independent Chip Model.

Internal Links

• Pinapple — Strategy and analysis of which card to discard before the flop.
• Bad Beat Jackpots: What is the Probability of Hitting one?
• Texas Hold 'Em Dominated Hand Probabilities: What is the probability one of your opponents has similar, and better, hole cards than yours?

Both before and after the flop in any limit Holdem game, it is helpful to be able to make a reasonably accurate estimate of the types and numbers of playable hands that you are likely to be competing against.

Much of your decision making involves the business of 'putting' opposing players 'on their hands' (or in other words, figuring out what cards they are playing). Experienced Holdem players are often very good at this. An understanding of the types of hands that are most likely to be against you helps prevent both underestimating and overestimating your competition.

Odds Of Getting Hands In Texas Holdem

Here are some stats that are based on the total possible combinations of various Holdem hole cards that are normally playable.

For better viewing on your mobile device (or to download or print the chart), check out holdem hole card frequencies in high resolution universal .pdf format.

The five different types of two card Hold'em hands highlighted here are those that are most commonly played. They are not shown in any particular order and within the groups are powerful hands that are almost always played, down to marginal value hands that can be played under certain betting conditions.

Odds Of Each Hand In Texas Holdem Rules

The rest of the hands, shown as All Others, are all the very weak hands that most players hardly ever play.

Pairs - All pairs. AA, KK, QQ, JJ, 1010, 99, 88, 77, 66, 55, 44, 33, 22

Two High Cards Suited - AK(S), AQ(S), AJ(S), A10(S), KQ(S), KJ(S), K10(S), QJ(S), Q10(S), J10(S)

Odds Of Each Hand In Texas Holdem Tournament

Two High Cards Unsuited - AK, AQ, AJ, A10, KQ, KJ, K10, QJ, Q10, J10

Odds Of Each Hand In Texas Holdem Tournaments

Medium and Low Suited Connectors - These include both no-gap and one-gap connectors: J9(S), 109(S), 108(S), 98(S), 97(S), 87(S), 86(S), 76(S), 75(S), 65(S), 64(S), 54(S), 53(S)

Odds Of Hands In Texas Holdem

Ace and Non-High Combinations - A9, A8, A7,A6 Note: 25% of these 64 combinations (16) are suited. 75% of the 64 combinations (48) are unsuited.