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Understanding Probability In Texas Holdem Is An Essential Aspect Of Profitable Play
– Pre-Flop Probability Guide

Ever wondered how often you will be dealt Aces? Or what the chances of facing an over-pair are when you hold Jack-Jack? This section of the site will give you the probability of certain hands before the flop (this page) and in later pages the chances of certain flops (for example one suit flop probability) and the chances of dominating hands being out there to your ace-x hand (where x is one of several small to medium cards).

The next question is then – what is the number of unique starting hands in Texas Holdem, not counting suits? The answer here is 169 unique hands. Pre-Flop Poker Probability - 169 Distinct Starting Hands. Now we are getting somewhere. Next we can use the numbers above to work out what the probability of being dealt AA, KK (or in fact any pair) is. Probabilities in Texas Hold'em Introduction An understanding of basic probabilities will give your poker game a stronger foundation, for all game types. This article discusses all the important, and interesting, probabilities that you should be aware of. Probabilities in poker Probability means the degree of certainty that a possible event will.

A List of Long-Shot Odds in Texas Holdem If you've played poker live or online for any stretch of time - you've seen hands you never thought possible. 28 minutes to read. And the odds of making a royal flush is 649,739 to 1. This is correct assuming that every game plays to the river. In poker terms, the river is the name for the fifth card dealt, face-up on the board. In total, there are 2,598,960 possible poker hands with 52 cards. The odds of getting four of a kind in Texas Hold ‘Em is 4164 to 1. Poker Texas Hold 'em Probability Calculator / Simulator Click 'edit' on a card to assign a value to that card. Cards with no value assigned are treated as being face down with unknown values.

We start by looking at how the cards in the deck can be dealt based on a random distribution of the 1326 ways of 2 cards falling and how often you’ll expect to be dealt certain hands. Then we take suitedness into account – since there are less ways of being dealt 2 suited cards. Later articles in this series will continue with the essential poker probability and card distribution stats you need.

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Firstly, where did the number 1326 come from? Well with 52 cards in the deck your first card is 1/52 this is then multiplied by 1/51 and the total divided by 2 (since it does not matter what order your cards are dealt in) giving 1326 combinations of all cards in any suit.

Of course suitedness is not often important, especially for low cards. The next question is then – what is the number of unique starting hands in Texas Holdem, not counting suits? The answer here is 169 unique hands.

Pre-Flop Poker Probability - 169 Distinct Starting Hands

Now we are getting somewhere. Next we can use the numbers above to work out what the probability of being dealt AA, KK (or in fact any pair) is. This is a case of taking the total number of possible hands and then seeing how many of these are your pair. We will take a pair of Kings as an example. Of the 1326 possible combinations there are 6 ways of being dealt this hand pre-flop. The 6 combinations possible are Kh-Kd, Kh-Kc, Kh-Ks, Kd-Kc, Kd-Ks and Kc-Ks.

6 / 1326 = 0.00435 or 221-to-1

So the chances of being dealt any specific pair are 221:1 against, in fact with 13 possible pairs the chances of being dealt any pair go up to 16-to-1 (there are 78 pair combinations from 1326 total).

Next we can look at unpaired hands, a specific example is the number of ways of being dealt Ace-king pre-flop. Here we have more possible combinations, since there are 8 cards that can be dealt first and then 3 remaining cards to make this hand (we will ignore suitedness for the moment). This gives 16 ways in which A-K can be dealt out of the 1326 combinations – a probability of 0.0121% or approximately 82-to-1. In fact this is the same for any unpaired hand when you ignore the suits.

Pre-Flop Poker Probability - Probability Of Hands Pre-Flop Chart

The reference table below gives probabilities of being dealt specific hands pre-flop: The next article in this series will look at the chances of being dealt hands at the same time as one or more opponent is dealt a higher hand – for example AA vs KK and AK vs QQ.

Finally we can look at how combinations of pre-flop hands work, asking the question what is the probability of being dealt a playable hand for each position. We will use arbitary early, middle and late position combinations here to demonstrate – the actually hands you play is up to your personal style!

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Poker can be a fun card game for the family, or a serious competitive game in which the steaks can be so enormous, even selling your house wouldn’t cover the costs.

There are many variations of poker, with Texas Hold ‘Em being the most popular worldwide.

Below are a whole bunch of poker facts and statistics which help you understand the chances of wining and the odds of getting the cards you want.

Did You Know?

A pocket pair is cards of the same rank, which means if your two cards have the same number, from 2-2 all the way up to A-A, this is called a pocket pair.

• The odds of receiving any pocket pair is 5.9% which is 16 to 1. These are also the same odds of receiving a pocket pair of 2’s.
• The odds of receiving a specific pocket pair: 0.45% or 220 to 1 These are the same odds for receiving a pocket pair of A’s.
• The odds of receiving a pocket pair of A’s twice in a row is 0.002047% or 48,840 to 1.
• The odds of receiving a pocket pair of K’s is 0.9% which is 220 to 1.
• The odds of receiving a pocket pair of Q’s is 1.4% which is 73 to 1.
• The odds of receiving a pocket pair of J’s is 1.8% which is 54 to 1.
• The odds of receiving a pocket pair of 10’s is 2.3% which is 43 to 1.
• The odds of receiving a pocket pair of 9’s is 2.7% which is 36 to 1.
• The odds of receiving a pocket pair of 8’s is 3.2 which is 31 to 1.
• The odds of receiving a pocket pair of 7’s is 3.6% which is 27 to 1.
• The odds of receiving a pocket pair of 6’s is 4.1% which is 24 to 1.
• The odds of receiving a pocket pair of 5’s is 4.5% which is 21 to 1.
• The odds of receiving a pocket pair of 4’s is 5.0% which is 19 to 1.
• The odds of receiving a pocket pair of 3’s is 5.4% which is 17 to 1.

Poker Fast Facts

Probability Of Quads In Texas Holdem Poker

The total number of possible royal flush hands in a standard 52 card deck is 4.

Probability Of Quads In Texas Holdem Game

And the odds of making a royal flush is 649,739 to 1.

This is correct assuming that every game plays to the river.

In poker terms, the river is the name for the fifth card dealt, face-up on the board.

In total, there are 2,598,960 possible poker hands with 52 cards.

The odds of getting four of a kind in Texas Hold ‘Em is 4164 to 1.

Casinos normally change decks after 15 minutes of steady play, so that the cards can always be fresh and unmarked, as many professional players would be able to remember the certain markings on cards and use that to their advantage.

This is only a basic overview of poker odds, there are many calculators online that can help solve the odds of getting certain hands, depending on what stage of the game you’re at, what cards you currently hold and how many people are playing.

Now you are familiar with these odds, you can use them to your advantage for a better poker strategy when you finally decided to play a tournament.

Probability Of Quads In Texas Holdem Games

In Texas Hold-Em Poker the odds of making a royal flush hand is only 649,739 to 1.