Well, on a flop of KT4 here are 3 Tens left in the deck, so… C = / 2Ĭ = 3, which means there are 3 possible combinations of TT. How many combinations of TT are there on a KT4 flop? Word equation: / 2 = total combinations Example. Method: Multiply the number of available cards by the number of available cards minus 1, then divide by two. How to work out the total number of hand combinations for an paired hand like AA, JJ, or 44. How many possible combinations of AK and TT are out there that our opponent could hold? Unpaired hands (e.g. Let’s say we hold KQ on a flop of KT4 (suits do not matter). Working out hand combinations using "known" cards. Easy.įact: There are 1,326 combinations of starting hands in Texas Hold’em in total. If you then take these 4 suited hands away from the total of 16 "any two" hand combinations (which include both the suited and unsuited hands), you are left with the 12 unsuited hand combinations. It’s easy to work out how there are only 4 suited combinations of any two cards, as there are only 4 suits in the deck. You won’t use these extra starting hand combinations nearly as much as the first two, but I thought I would include them here for your interest anyway. Any two unsuited (AKo) = 12 combinations.AK or 67 suited or unsuited) = 16 combinations Here are 2 extra stats that give you the total combinations of any two suited and any two unsuited cards specifically. Therefore, this includes the suited and non-suited combinations. That’s pretty interesting in itself, but you can do a lot more than this… Note: two extra starting hand combinations.Īs mentioned above, there are 16 combinations of any two non-paired cards. So as you can see from these basic starting hand combinations in poker, you’re almost 3 times as likely to be dealt a non-paired hand like AK than a paired hand. See all 6 JJ pocket pair hand combinations: J J, J J, J J etc.), you would find that there are just 6 possible combinations. Similarly, if you wrote down all the possible combinations of a pocket pair like JJ (e.g. A K, A K, A K etc.), you would find that there are 16 possible combinations. If you were take a hand like AK and write down all the possible ways you could be dealt this hand from a deck of cards (e.g. Using combinatorics, you will be able to quickly work these numbers out and use them to help you make better decisions based on the probability of certain hands showing up. How many straight draw combinations are there on a flop of AT7?.How combinations of T9 are there on a flop of T32?.Poker combinatorics involves working out how many different combinations of a hand exists in a certain situation. Don’t get confused if I use them interchangeably, which I probably will. Oh, and as you’ve probably noticed, "combinatorics", "hand combinations" and "combos" refer to the same thing in poker. In this article, I will go through the basics of working out hand combinations or "combos" in poker and give a few examples to help show you why it is useful. "Combinatorics" is a big word for something that isn’t all that difficult to understand. For a great training video on poker combinatorics, check out this poker combos video.
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