About the Game: How often do you get aces, how often do you hit a set, how many different flops are there and how often do you flop a gutshot? Answers to these and similar questions about Texas Holdem poker probabilities and odds can be found here. This collection of Texas Hold’em odds also contains the probabilities for several long-shot scenarios like set over set, flush over flush and other rather unlikely scenarios. If you’re missing a probability, just leave a comment below! Preflop Poker Odds. 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. If you group these identical hands together, you get 169 different starting hand groups – 13 pairs, 78 suited combinations, and 78 off-suit combinations. The following table shows the probabilities and odds of getting dealt specific hole cards: Texas Hold’em Preflop: Odds of being dealt a certain starting hand. Use your Online Poker Skills. Do you think you have an edge over the competition? Feel free to give Online Poker a go. Those are the best poker sites to start playing online: More Information. How do you calculate poker hand percentages? To calculate preflop probabilities and poker odds in general you just have to do some combinatorics. There are ways to deal 2 hole cards. So that’s the total number of possible preflop combinations. The symbol in the middle of the formula is the so called Binomial Coefficient . It calculates the number of ways of picking 2 cards from a deck of 52 cards if the order of the cards doesn’t matter. Now let’s say you want to know the probability of being dealt aces preflop. We already know there are 1,326 different two-card-combinations. Exactly 6 of those are pocket aces, namely A ♠ A ♥ , A ♠ A ♦ , A ♠ A ♣ , A ♥ A ♦ , A ♥ A ♣ and A ♦ A ♣ . This means the probability of being dealt aces preflop is exactly . For all other possible hands and ranges you can calculate the probability in the same way. Just count the number of combinations and divide by the number of total possible preflop combinations. The formulas in the tables above and below show how each probability is calculated. Odds of running into better hands. It is one of the biggest fears poker players have when holding queens or kings before the flop: another player wakes up with aces and takes down the pot. If you are playing against a single opponent those events will occur very rarely. If you’re holding kings for example, the probability of your opponent holding aces is less than 0.5 percent. But the more players there are left to act behind you the more likely it is that one of them has your premium pair beaten. Another example: if you’er holding jacks under the gun at a full ring table, the chances of at least one opponent behind you holding queens or better are already more than 11 percent. The following table shows the probabilities of running into better hands when you’re holding a premium hand and how often you can expect certain scenarios to happen in the long run (e.g. on a full ring table you can expect to be dealt kings and run into aces every 5,737 hands): Probabilities of running into better hands preflop. Scenario Probability Formula Double aces Being dealt aces preflop 0.452% (1 : 220) If you have aces preflop your opponent has aces as well (heads-up) 0.0816% (1 : 1,224) If you have aces preflop an opponent has aces as well (full-ring) 0.651% (1 : 153) Kings vs. aces If you have kings preflop your opponent has aces (heads-up) 0.490% (1 : 203) If you have kings preflop an opponent has aces (full-ring) 3.85% (1 : 25) You are dealt kings and your opponent has aces (heads-up) 0.00222% (1 : 45,120) You are dealt kings and someone has aces (full-ring) 0.0174% (1 : 5,737) Queens vs. aces or kings If you have queens preflop your opponent has kings or aces (heads-up) 0.980% (1 : 101) If you have queens preflop an opponent has kings or aces (full-ring) 7.57% (1 : 12) You are dealt queens and your opponent has aces or kings (heads-up) 0.00443% (1 : 22,559) You are dealt queens and someone has aces or kings (full-ring) 0.0343% (1 : 2,917) Jacks vs. better pairs If you have jacks preflop your opponent has a better pair (heads-up) 1.47% (1 : 67) If you have jacks preflop an opponent has a better pair (full-ring) 11.2% (1 : 8.0) You are dealt jacks and your opponent has a better pair (heads-up) 0.00665% (1 : 15,039) You are dealt jacks and someone has a better pair (full-ring) 0.0505% (1 : 1,97 Ace-king vs. Texas Hold'em Poker Pokerist hack
