So, what is the probability? Probability represents a kind of a field of mathematical sciences which tries to determine the chance of occurrence of each possible outcome of some studied event. Such is possible by implementing various complex mathematical formulas, which can also be applied to calculating the probability of Poker hands.
It’s something like calculating which side of the coin will appear after the flip, except for the number of possible outcomes of cards combinations if far greater when applied on a standard 52-card deck when compared to only two sides of a coin. Therefore, Poker hands odds represent an area for itself, an area that each player is tending to be a professional at, needs to master along the way, so he can eventually develop tactics on his own.
In your guide below, you’ll find a few essential tips for playing Texas Holdem.
Texas Holdem Odds and Probabilities
As for casino Poker card probability comparison between online Poker and land-based casinos, they are in most cases identical when it comes to standard Texas Holdem, 5-card Poker, and other already worldwide acquired Poker versions. You may run into different odds when playing some non-standard variations, such as Video Poker games, 3-card Poker, Pai Gow, etc. However, when it comes to Texas Holdem games online and those in land-based casinos, they tend to come with identical mathematics, and therefore identical hand statistics and odds.
Are Online Poker Hand Probabilities the Same as in Land-Based Casinos?
For instance, if you play standard, 52-card online or live Texas Holdem hand probabilities of being dealt two Aces as hole cards would be calculated in the same way:
(4/52) x (3/51) = approximately 0.45%.
Since all best online Poker rooms use the same number of cards in a deck, as well as the same types of cards (one card represented in each of four signs) in both Texas Holdem land-based and online games, it is completely logical that Poker hand probability and odds will also be the same as well, since they depend exactly on parameters such as the number and the type of cards included in the playing deck.
Odds of Winning Poker Hands
So, after learning basic rules, strategies, as well as Poker terms and phrases, it is time to get acquainted with some Poker probabilities. So, when it comes to pre-flop Poker hands probabilities, the table below shows all possible combinations along with their chance of occurrence displayed both in percentages and odds.
A-A, K-K, etc. (a specific pair)
Non-paired, specific hole cards
Specific suited hole cards
Suited connecting cards
Suited cards 10+
Connected hole cards
Connected hole cards 10+
Any two hole Q+ cards
Any two hole J+ cards
Any two hole 10+ cards
It would also be good to try to remember the odds for common pre-flop match-up combinations, such as, for instance:
- pair vs. pair (i.e. 77 vs. JJ – 20% vs. 80%)
- pair vs. two overcards (i.e. AQ vs. 55 – 45% vs. 55%)
- pair vs. two undercards (i.e. 75 vs. JJ – 15% vs. 85%).
Post-Flop Chances & Probabilities
After hole cards are dealt, and the flop is on the table, it’s time for the post-flop betting cycle. In order to place your bet in a wise manner, there is one more type of probability to get familiar with – the probability of certain events occurring depending on your hole card combination. The table below displays some of the most common post-flop progressions alongside their chance of occurrence both as percentage and odds.
Non-paired hole cards will pair at least one
Non-paired hole cards will pair both hold cards
A pair will progress into a set
A pair will progress into a four-of-a-kind
Two suited hole cards will progress into a flush
Two suited hole cards will progress into a flush draw (four flush)
Two suited hole cards will progress to a flush by the river
What Is The Probability of Getting a Full House?
As for this specific Poker hand probability, you can expect to come across it in 0.144% of cases. The probability of Full house comes in 3744 different chances, carrying the odds of 693.17:1.
It is a mathematical term used to describe the likelihood of a certain card combination to come up. The more combination probabilities you are familiar with, the more skilled you will become as a player, which increases your chances of winning big. A straight flush comes with a probability percentage of 0.001385% (72193.5:1), while a royal flush can occur in 0.0001539% (odds are 649737:1). The odds are 219.75:1 (0.453%).
It is a mathematical term used to describe the likelihood of a certain card combination to come up.
The more combination probabilities you are familiar with, the more skilled you will become as a player, which increases your chances of winning big.
A straight flush comes with a probability percentage of 0.001385% (72193.5:1), while a royal flush can occur in 0.0001539% (odds are 649737:1).
The odds are 219.75:1 (0.453%).