1. Probability Of Poker Hands In Texas Holdem Rules
2. Odds Of Poker Hands In Texas Holdem
3. Probability Of Poker Hands In Texas Holdemn Texas Hold Em
4. Probability Of Poker Hands In Texas Holdemas Hold Em
5. Probability Poker Hands Texas Hold Em
6. Probability Of Poker Hands In Texas Holdem Tournaments

In this lesson we’re going to run through a number of heads-up match-ups that will help give you an idea of where you stand in a variety of pre-flop situations when playing hold’em. Be aware that we’re only going to focus on individual hand match-ups. When playing hold’em it’s essential that you put your opponent on a range of hands, rather than specific holdings. However, knowing the odds of common pre-flop match-ups is a good starting point. Pick out and study what will help you. While it’s not essential that these statistics be committed to memory, it won’t hurt you if you do.

Frequency of 7-card poker hands. In some popular variations of poker such as Texas Hold 'Em, a player uses the best five-card poker hand out of seven cards. The frequencies are calculated in a manner similar to that shown for 5-card hands, except additional complications arise due to the extra two cards in the 7-card poker hand. Straight in poker is a much more common hand than those higher in poker hands rankings, so you will see it more often. Here are the most important odds for making poker Straight Texas Holdem hands: The odds of flopping a Straight is 1,04% when you have any connected starting hand.

Let’s start by looking at hand match-ups when holding a pair:

• Probability of being dealt a certain starting hand There are a total of exactly 1,326 different starting hand combinations in Texas Hold’em poker. However, many of them are practically identical, e.g. A♥K♣ is exactly the same hand as A♦K♠ before the flop.
• There are 7,462 distinct poker hands. Frequency of 7-card poker hands. In some popular variations of poker such as Texas Hold 'Em, a player uses the best five-card poker hand out of seven cards. The frequencies are calculated in a manner similar to that shown for 5-card hands, except additional complications arise due to the extra two cards in.

Pair vs. Pair

The higher pair is an 80 percent favourite. We can get very technical and highlight the fact that if the underpair didn’t have any clean suits and/or the maximum number of straight outs then the high pair’s equity would increases by one or two percent.

Pair vs. Overcards

This is the classic coin flip hand that you’ll see many times late in tournaments with one player being all-in. The term coin flip indicates an even money situation which is really a 55 to 45 percent situation, as the pair is a slight favourite.

Pair vs. Undercards

In this situation the pair is normally about a 5-to-1 favourite and can vary depending on whether the two undercards are suited and/or connectors.

Pair vs. Overcard and an undercard

The pair is about a 70 percent favourite. Another example of this holding would be J-J against A-9. The underdog non-paired hand has three outs while the favourite has redraws.

Probability Of Poker Hands In Texas Holdem Rules

Pair vs. Overcard and one of that pair

Odds Of Poker Hands In Texas Holdem

The classic example of this situation is the confrontation between a pair of cowboys and big slick. The A-K has three outs and it becomes a 70-30 percent situation or a 2.3-to-1 dog for the cowboys. This is a far cry from the next situation where even though one of the pair is matched the other card is lower.

Pair vs. Undercard and one of that pair

The non pair has to hit its undercard twice or make a straight or flush to prevail. The pair is better than a 90 percent favourite or slightly better than 10-to-1 odds. I’ll take those odds anytime.

Pair vs. Lower suited connectors

You see this match-up late in tournaments when a player is getting desperate and pushes all-in with middle suited connectors. A hand such as Q-Q against 7-6 suited would be a prime example. The pair is a strong favourite to win.

Pair vs. Higher suited connectors

Here is the real coin flip situation. A pair of eights heads-up against a suited Q-J is a fifty-fifty proposition. The higher suited cards would have an edge against a lower pair, such as 2’s or 3’s, since the board itself can sometimes destroy little pairs.

Common Pre-Flop Match-Ups (Non Pairs)

The following heads-up confrontations contain no pairs.

Two high cards vs. Two undercards

The two higher cards are usually a 65% favourite to win, but it can vary depending on whether any of the cards are suited and/or connectors.

High card, low card vs. Two middle cards

In this match-up the high card gives it the edge. But it’s only a marginal winner, approximately 57% to the hand containing the high card.

High card, middle card vs. Second highest, low card

The edge is increased by around 5% when the low card becomes the third highest card, as shown in this example, which gives approx 62% to 38% for high card/middle card combination.

High card, same card vs. Same card, low card

In this example the A-J is in a very strong position. If we discount any flush or straight possibilities, it only leaves the player holding J-8 with three outs (the three remaining 8’s).

Same high card, high kicker vs. Same card, low kicker

The high kicker gives this hand a fairly big edge. It’s very common for A-K run into A-Q, A-J, and lower, and it’s why Ace-King is such a powerful hand, particularly at the business end of no-limit hold’em tournaments when people move all-in with any sort of Ace.

Statistical Variations

For any math maniacs reading this who do not find these odds precise enough, I acknowledge that the math is rounded and for the most part does not take into account the possibilities of ties and back door straights and flushes. What players need to be equipped with is the general statistical match-up – not the fact that in the example of a pair of eights against a suited Q-J the percents are exactly 50.61 for the eights to 48.99 for the suited connectors with the balance going to potential ties. I call that a fifty-fifty proposition.

Probability Of Poker Hands In Texas Holdemn Texas Hold Em

Of greater importance than quibbling over tenths of a percent is the fact that in most heads-up confrontations you can never be a prohibitive underdog. That is one reason why poker is so challenging and fun. Of course, while true, I’m not attempting to embolden the reader to ignore the odds and become a maniac. Math is the underpinning of poker and if you regularly get your money into the middle with the worst of it you will go broke.

One statistic that hasn’t been mentioned, and it’s one that I particularly like is this – the odds of both players being dealt Aces when playing heads up (one on one) is 270,724-to-1. It’s my favourite statistic because it provides me with almost total confidence when I’m playing heads up and receive pocket Aces that I’m the boss! That confident feeling lasts right up to the river when my Aces get cracked by some rotten piece of cheese which my opponent elected to play. As mentioned already, rarely are you a prohibitive underdog – so remember that to keep those losing hands in perspective.

By Tom 'TIME' Leonard

Tom has been writing about poker since 1994 and has played across the USA for over 40 years, playing every game in almost every card room in Atlantic City, California and Las Vegas.

Probability Of Poker Hands In Texas Holdemas Hold Em

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.

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.

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)

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

Probability Poker Hands Texas Hold Em

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)

Probability Of Poker Hands In Texas Holdem Tournaments

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.