Texas Holdem Starting Hands Probability
- Texas Holdem Probability Chart
- Texas Holdem Starting Hands Ranking
- Texas Holdem Starting Hands Probability Chart
- Texas Holdem Starting Hands Probability
The chart of the Texas Holdem Starting Hand Odds is here so you can realize the odds of each hand. For example, players have almost a 6% chance of receiving a pocket pair. Many Texas Holdem players will overplay a low pocket pair thinking the odds of another person having pockets is low, at a ten person table this can be deadly. Holding 2 and 7 off suit is considered the worst hand in Texas Hold'em. They are the lowest two cards you can have that cannot make a straight (there are five cards between 2 and 7). Even if they are suited, they will make you a very low flush, and if either makes pairs, it is still a low hand.
The strength of your starting hand in Texas Hold'em can help you determine your chances of winning, even before the remaining cards are dealt. From a pair of aces — the strongest starting hand — to a 2 and a 7, knowing the strength of your starting hand is an important part of your success at the table. When playing Texas Hold'em you need to know which starting hands are worth staying in with—and which you should fold.
Best Starting Hands
Having a strong starting hand can help you determine your chances of winning even before the flop is dealt. In general, you're a strong contender if your starting hand contains:
- Ace/Ace: the strongest starting hand in the game.
- King/king, queen/queen, jack/jack: high pairs set you off well.
- An ace with a face card: sets a good foundation, if the flop works in your favor.
Beyond these cards, you'll also often be happy to see cards in sequence, particularly the high cards and face cards, and pairs in your starting hand. While some of these hands aren't always deemed the ideal hands, they can sometimes pay off if you're willing to take a risk. Don't forget the added bonus if your cards are all in the same suit, too. A flush, especially a straight flush or royal flush, can often win you the game. Again, the flop will play a major role in just how strong your chances are at winning, so assess carefully and determine how much risk you're willing to take.
The specific sequence of cards and the order in which they rank is an important aspect of the game. Studying up on the best starting hands in Texas Hold'em can help improve your game and your odds at winning the pot.
A strong starting hand might also encourage you to make a strong blind (your first bet).
Worst Starting Hands
When you're dealt your starting hand, some combinations greatly reduce your chances of winning. These are generally low numbers that are not in sequence or matched. You might consider folding early if your two cards are:
- A 2 or a 3, paired with a 7 or an 8: you can't make a straight out of them.
- An ace or a face card with an unsuited low card: you're taking a risk relying on a single high card.
- Two unmatched, unsuited low cards (like 4 and 7, 5 and 8, etc.): you'll rarely win with these.
The strategy of what to hold, and why, takes a bit to master, so studying the worst starting hands in Texas Hold'em, even more, can help you improve your game.
Beginner's Advice
Play only the cards in the 10-best list and always fold those in the worst hands list. Following this strategy may improve your results. However, there's no guarantee that receiving a strong starting hand will take the round, or that a weak starting hand is a definite loss. You never know how the flop may run, and while an unsuited 2 and 4 might seem like one to deal, sometimes you'll be pleasantly surprised with a two-pair or even a full house. Study up on the various hands you're aiming for.
Texas Holdem Probability Chart
How you approach the game will also differ based on the game itself. For example, if you're playing No-Limit Hold 'em, knowing the top No-Limit Hold'em hands can help you better understand how to play them.
As your skill increases, you'll also want to learn how position affects your Hold'em starting hand decisions. The more you learn, the more you'll realize how important your starting hands are to your bottom line. Play the good hands and fold the bad, and you'll be well on your way to becoming an expert at Hold'em.
Ever wondered where some of those odds in the odds charts came from? In this article, I will teach you how to work out the probability of being dealt different types of preflop hands in Texas Holdem.
It's all pretty simple and you don't need to be a mathematician to work out the probabilities. I'll keep the math part as straightforward as I can to help keep this an easy-going article for the both of us.
- Probability calculations quick links.
Texas Holdem Starting Hands Ranking
A few probability basics.
When working out hand probabilities, the main probabilities we will work with are the number of cards in the deck and the number of cards we want to be dealt. So for example, if we were going to deal out 1 card:
- The probability of dealing a 7 would be 1/52 - There is one 7 in a deck of 52 cards.
- The probability of dealing any Ace would be 4/52 - There four Aces in a deck of 52 cards.
- The probability of dealing any would be 13/52 - There are 13 s in a deck of 52 cards.
In fact, the probability of being dealt any random card (not just the 7) would be 1/52. This also applies to the probability being dealt any random value of card like Kings, tens, fours, whatever (4/52) and the probability of being dealt any random suit (13/52).
Each card is just as likely to be dealt as any other - no special priorities in this game!
The numbers change for future cards.
A quick example... let's say we want to work out the probability of being dealt a pair of sevens.
- The probability of being dealt a 7 for the first card will be 4/52.
- The probability of being dealt a 7 for the second card will be 3/51.
Notice how the probability changes for the second card? After we have been dealt the first card, there is now 1 less card in the deck making it 51 cards in total. Also, after already being dealt a 7, there are now only three 7s left in the deck.
Always try and take care with the numbers for future cards. The numbers will change slightly as you go along.
Working out probabilities.
- Whenever the word 'and' is used, it will usually mean multiply.
- Whenever the word 'or' is used, it will usually mean add.
This won't make much sense for now, but it will make a lot of sense a little further on in the article. Trust me.
Probability of being dealt two exact cards.
Multiply the two probabilities together.
So, we want to find the probability of being dealt the A and K. (See the 'and' there?)
- Probability of being dealt A - 1/52.
- Probability of being dealt K - 1/51.
Now let's just multiply these bad boys together.
P = (1/52) * (1/51)
P = 1/2652
So the probability of being dealt the A and then K is 1/2652. As you might be able to work out, this is the same probability for any two exact cards, as the likelihood of being dealt A K is the same as being dealt a hand like 7 3 in that order.
But wait, we do not care about the order of the cards we are dealt!
When we are dealt a hand in Texas Hold'em, we don't care whether we get the A first or the K first (which is what we just worked out), just as long as we get them in our hand it's all the same. There are two possible combinations of being dealt this hand (A K and K A), so we simply multiply the probability by 2 to get a more useful probability.
P = 1/2652 * 2
P = 1/1326
You might notice that because of this, we have also worked out that there are 1,326 possible combinations of starting hands in Texas Holdem. Cool huh?
Probability of being dealt a certain hand.
Two exact cards is all well and good, but what if we want to work out the chances of being dealt AK, regardless of specific suits and whatnot? Well, we just do the same again...
Multiply the two probabilities together.
So, we want to find the probability of being dealt any Ace andany King.
- Probability of being dealt any Ace - 4/52.
- Probability of being dealt any King - 4/51 (after we've been dealt our Ace, there are now 51 cards left).
P = (4/52) * (4/51)
P = 16/2652 = 1/166
However, again with the 2652 number we are working out the probability of being deal an Ace and then a King. If we want the probability of being dealt either in any order, there are two possible ways to make this AK combination so we multiply the probability by 2.
P = 16/2652 * 2
P = 32/2652
P = 1/83
The probability of being dealt any AK as opposed to an AK with exact suits is more probable as we would expect. A lot more probable in fact. Also, as you might guess, this probability of 1/83 will be the same for any two value of cards like; AQ, JT, 34, J2 and so on regardless of whether they are suited or not.
Probability of being dealt a range of hands.
Texas Holdem Starting Hands Probability Chart
Work out each individual hand probability and add them together.
What's the probability of being dealt AA or KK? (Spot the 'or' there? - Time to add.)
- Probability of being dealt AA - 1/221 (4/52 * 3/51 = 1/221).
- Probability of being dealt KK - 1/221 (4/52 * 3/51 = 1/221).
P = (1/221) + (1/221)
P = 2/221 = 1/110
Easy enough. If you want to add more possible hands in to the range, just work out their individual probability and add them in. So if we wanted to work out the odds of being dealt AA, KK or 7 3...
- Probability of being dealt AA - 1/221 (4/52 * 3/51 = 1/221).
- Probability of being dealt KK - 1/221 (4/52 * 3/51 = 1/221).
- Probability of being dealt 7 3 - 1/1326 ([1/52 * 1/51] * 2 = 1/1326).
P = (1/221) + (1/221) + (1/1326)
P = 359/36465 = 1/102
This one definitely takes more skill with adding fractions because of the different denominators, but you get the idea. I'm just teaching hand probabilities here, so I'm not going to go in to adding fractions in this article for now! This fractions calculator is really handy for adding those trickier probabilities quickly though.
Overview of working out hand probabilities.
Hopefully that's enough information and examples to allow you to go off and work out the probabilities of being dealt various hands and ranges of hands before the flop in Texas Holdem. The best way to learn how to work out probabilities is to actually try and work it out for yourself, otherwise the maths part will just go in one ear and out the other.
I guess this article isn't really going to do much for improving your game, but it's still pretty interesting to know the odds of being dealt different types of hands.
I'm sure that some of you reading this article were not aware that the probability of being dealt AA were exactly the same as the probability of being dealt 22! Well, now you know - it's 1/221.
Other useful articles.
- Poker mathematics.
- Pot odds.
- Equity in poker.
Go back to the poker odds charts.
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Texas Holdem Starting Hands Probability
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