1. Texas Holdem Hand Probability Calculator
2. Texas Holdem Mathematics
3. Texas Holdem Hand Statistics
4. Texas Holdem Table Odds
5. Texas Holdem Probability Equation
6. Texas Holdem Probability Calculator

Once the flop has been dealt in Texas Hold'em, you'll be able to count your outs and know how likely it is your hand will improve. That will tell you whether you should stay in the hand or fold.
You can figure out your outs and odds for any hand, but here is a quick and dirty list of the most common scenarios:

Texas Hold'em Cheat SheetOdds Based on Outs after the Flop

If after the flop, you have:
Two outs: Your odds are 11 to 1 (about 8.5 percent)
A common scenario would be when you have a pair and you are hoping your pair becomes a three-of-a-kind (a set).
Four outs: Your odds are 5 to 1 (about 16.5 percent)
A common scenario would be when you are trying to hit an inside straight draw (there are 4 cards of one number that will complete the straight) or you have two pairs and you hope to make a full house (there are three cards remaining of one number and two of the other).
Eight outs: Your odds are 2 to 1 (about 31 percent)
A common scenario would be that you have an open-ended straight draw. There are four remaining cards of two different numbers that will complete your straight, on the high end and on the low end.
Nine outs: Your odds are 2 to 1 (about 35 percent)
This is the common scenario when you have a flush draw. Any of the nine remaining cards of the suit will give you a flush.

Fifteen outs: Your odds are 1 to 1 (about 54 percent)
A scenario for this is having a straight and flush draw, where either any of the nine remaining cards of the suit will give you a flush, while there are four cards remaining of each of two numbers that would complete a straight. However, you don't count the same cards twice as outs, so those of suit you hope to get don't count again.

The Rule of Four and Two

These odds only apply to counting both the turn and the river, so they assume you will stay in the hand until the showdown. Your odds are only about half as good for a single card draw, such taking the hit on the turn or taking the hit on the river. A common way of looking at the difference in the odds when you will be seeing two cards compared with one is called the Rule of 4 and 2.

Texas Holdem Hand Probability Calculator

After the flop, count your outs and multiply them by four to get your percentage odds. This doesn't give you an exact number, but it is quickly in the ballpark. With 15 outs, 4 x 15 = 55 percent you'll complete that straight or flush with the next two draws.

However, when you are calculating the odds that a single draw will improve your hand, you multiply the outs by two rather than 4. With 15 outs, 2 x 15 = 30 percent chance.

For example: To calculate your hand odds in a Texas Hold'em game when you hold two hearts and there are two hearts on the flop, your hand odds for making a flush are about 2 to 1. This means that for approximately every 3 times you play this hand, you can expect to hit your flush one of those times. Poker hands odds & outs: a crash course-guide on poker odds, pot odds, probabilities & odds charts so you can win at Texas Hold’em at the tables or online. One of the most important things that a poker player should know is what their poker odds are in a given situation. There are no betting lines to choose from in poker like you get in the sportsbook or on a racing form, so. Using a Poker odds Calculator. Want to know how far ahead or behind you are in a Texas Hold’em hand against one, two or more opponents? Our poker calculator is the perfect medium for finding out the odds in any given situation. Simply plug in your hand, your opponents’ hands, and the board, and you’ll be on the way to figuring out your.

There are 10 different hands ranks in Texas Hold’em – from a Royal Flush to a Straight to a lousy High Card. Here’s a comprehensive list of all Texas Hold’em poker hand rankings:

You can also print and download the Official Texas Hold’em hand ranking as a PDF file.

Chart: Poker Hand Ranking

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Download the poker hand ranking charts image or PDF:

• Official Poker Hand Rankings Image
• Print: Poker Hand Rankings PDF

Official Poker Hand Rankings

• Royal flush: A straight from a ten to an ace with all five cards in the same suit.
• Straight Flush: Any straight with all five cards in the same suit.
• Four of a Kind or Poker or Quads: Any four cards of the same rank. If two players share the same four of a kind (on the board), the larger fifth card (the “kicker”) decides who wins the pot.
• Full House or Boat: Three cards of the same rank along with two cards of the same rank. In short: trips and a pair.
• Flush: All five cards of the same suit (not necessarily consecutive). The highest card determines the rank of the flush.
• Straight: Five consecutive cards (not necessarily the same suit). Aces can count as either high or low cards, but not as both at once. Meaning, a straight cannot go “around the corner”.
• Trips: Three cards of the same value. If two players have the same trips the highest kicker decides who wins the pot.
• Two Pair: Any two cards of the same rank together with two other cards of the same rank.
• One Pair: Any two cards of the same rank.
• High Card: Any hand that is none of the above hands.

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Poker Hand Rankings Explained

• If two players have a Straight or Straight Flush, the higher Straight or Straight Flush wins.
• If two players have a quads, the player with the highest quad wins. If they are identical, the highest kicker wins.
• If two players have a flush, the player with the highest card in the flush wins. If they are identical, the second highest card decides, then the third highest, and so on. The suit of the flush does not matter.
• If two players have a full house, the player with the higher trips wins. If they are identical, the player with the higher pair wins.
• If two players have two pairs, the player with the bigger pair wins. If they are identical, the player with the higher pair wins. If they are also identical, the player with the highest kicker wins.
• If two players have a pair, the player with the higher pair wins. If they are identical, the highest kicker wins, then the second highest, then the third highest.
• If two players have a high card, the highest card wins. If they are identical, the second highest card decides, etc.

How many Poker Hands are there?

There are only 10 distinct poker hand ranks, but if you randomly deal 5 cards from a deck of 52 cards there are exactly 2,598,960 possible card combinations.

Poker Hand Odds for 5-Card-Poker

The poker hand ranking charts are based on the probability for each distinct hand rank. More unlikely combinations are ranked higher. Those are the probabilities and odds for all 5-card poker hands:

Poker Hand Odds for Texas Hold’em

If you’re playing Texas Hold’em, you have 7 cards to chose your hand from. There are 133,784,560 to deal 7 random cards. This changes the odds and probabilities for all poker hands a bit. Those are the probabilities and odds for all Texas Hold’em Poker hands:

Technically it’s more likely that you’re dealt at least a pair in Texas Hold’em than holding only high card. But “High Card” still remains the lowest rank.

FAQ: Poker Hand Rankings

Does 2 pairs beat a straight?

When playing Texas Hold’em (or any other popular poker variant) 2 pairs are always ranked below a straight.

Does 3 Aces beat a straight?

Texas Holdem Mathematics

3 Aces are just trips (or three of a kind) in poker. When playing regular Texas Hold’em a straight is ranked above trips. There are however rule variations where trips can bet a straight, namely Short Deck Hold’em, a poker variant where all cards below 5 are removed.

Does 5 of a kind beat a royal flush?

In regular poker variants there are is no 5-of-kind rank. When playing with wildcards (joker) 5 of a kind are possible. In this case 5 of a kind are the highest possible poker hand and beat a royal flush.

Does a full house beat 3 aces?

Every full house always beats trips, no matter the rank of the trips. Even trip aces are always ranked below every possible full house.

Does Royal Straight beat flush?

A Royal Flush is the best possible poker hand and of course always beats any other flush.

Does straight beat a full house?

Every common poker variant, including Texas Hold’em, ranks a Full House above a straight. So no, a Straight never beats a Full House in Poker.

What beats a royal flush?

In all regular modern poker variations (including Texas Hold’em and Omaha) a Royal Flush is always the highest possible hand rank. A higher rank is only possible when playing with a Joker. In this case 5 of a kind (4 Aces plus Joker) beats a Royal Flush.

What can beat a flush in poker?

A Flush is a very strong hand in poker. The only hands that beat a Flush are Full House, Quads, Straight Flush, and Royal Flush.

How rare is a royal flush?

A Royal Flush is extremely rare. When playing Texas Hold’em you’ll only get one every 31,000 hands. And that assumes you never fold. The hand is so rare that most poker players can remember all Royal Flushes they have been dealt in their life time.

What are the odds of hitting a straight flush?

Straight Flushes are almost as rare as Royal Flushes. When playing Texas Hold’em you will hit a Straight Flush roughly every 3,600 hands (assuming you never fold any hand that can make a Straight Flush).

Can you have 3 pairs in poker?

There is no “3 pair” hand rank in poker. When playing Texas Hold’em it’s technically possible to have three pairs, but since a poker hand only consists of 5 cards only the 2 highest pairs are in play. For example, if you hold Q-J and the board reads Q-J-6-A-A you only have two pair: Aces and Queens.

Does Royal Flush have to be spades?

A Royal Flush can be any of the 4 suits, spades, hearts, diamonds, or clubs. It’s just that usually a Royal Flush is depicted in spades or hearts. Nevertheless, it doesn’t matter which suit, a Royal Flush is always the best Texas Hold’em Poker Hand.

How many kickers can you have in poker?

A poker hand can consist of up to 5 kickers. A player with no pair only has kickers. A player with one pair has 3 kickers, a player with trips has 2 kickers, and a player with 2 pair or quads has 1 kicker.

Is Ace a 1 in poker?

Texas Holdem Hand Statistics

When building a straight an Ace can be used as a virtual “1” in poker. Meaning, A-2-3-4-5 is a straight. There are also lowball poker variations where the Ace counts as the lowest card.

Is an Ace 2 3 4 5 a straight?

Yes, the ace can count as the lowest card in a straight and function as a “1” when combined with 2-3-4-5.

Is JQKA 2 a straight?

A straight cannot go “around the corner”, the Ace can only be either the highest or the lowest card, not a card in the middle. So no, J-Q-K-A-2 is no straight in poker.

Is Queen King Ace 2 3 a straight?

A straight cannot go “around the corner”, the Ace can only be either the highest or the lowest card, not a card in the middle. So no, Q-K-A-2-3 is no straight in poker.

Is there a kicker on a straight?

For a straight you need to use all 5 cards. There are no cards left for a kicker. The rank of the straight is determined by the highest card. E.g. an ace-high straight beats a queen-high straight.

What is a flush in poker?

A flush in poker is hand which consists of 5 cards of the same suit. The same color (red or black) is not enough. It has to 5 spades, hearts, diamonds, or clubs.

What is the highest royal flush in poker?

There are no distinctions between the 4 possible Royal Flushes in poker. A Royal Flush in spades is as good as a Royal Flush in hearts, diamonds, or clubs.

What is the highest suit in Texas Hold’em poker?

Texas Holdem Table Odds

Only in very rare occasions (for example when dealing for the button) the suits are ranked in poker. In this case the ranking is: 1. spades, 2. hearts, 3. diamonds, 4. clubs. Suits are otherwise generally not ranked in poker. A Flush in spades is as good as a flush in any other suit, only the ranks of the cards matter.

What is the lowest pair in a game of poker?

In poker the lowest possible pair is a pair of Deuces (twos).

How do you win bad beat jackpots in poker?

To win a bad beat jackpot in poker you need to lose with a very strong hand, usually a strong Full House (Aces Full). It’s also necessary that both, the winning hand losing player, user both of their hole cards. E.g. losing with quads on the board does not count.

Texas Holdem Probability Equation

What are the odds of hitting a bad beat jackpot in poker?

The odds of hitting a bad beat jackpot in poker depend on the rules for the jackpot. If you have to lose with Aces Full or better your odds of hitting the bad beat jackpot are 1:58,948. If you have to lose with quads or better your odds are 1:624,609 (assuming a 10 player table where nobody ever folds).

Texas Holdem Probability Calculator

What is a bad beat in poker?

If you lose with a very strong hand against an even stronger hand this is called a “bad beat”. It is also a bad beat if you lose an all-in while being far ahead and you opponent wins by catching some miracle cards.

How many 5 stud poker hands are there?

5 Card Stud is one of the oldest poker variants where each player is dealt 5 cards. There are exactly 2,598,960 different 5 stud poker hands possible.

How many poker hands are there?

There are only 10 distinct poker hand ranks, but if you randomly deal 5 cards from a deck of 52 cards there are exactly 2,598,960 possible card combinations. If you’re playing Texas Hold’em, you have 7 cards to chose your hand from. There are 133,784,560 to deal 7 random cards.

What happens if two hands tie in poker?

It’s possible (and not too uncommon) for two players to have the same hand in poker. In this case the pot is split and both players receive half the pot.

What happens if two people have a royal flush?

When playing Texas Hold’em it’s almost impossible for two players to have a Royal Flush. For that to happen the 5 community cards need to form a Royal Flush. In that case all players in the hand win and split the pot.

What happens if two poker hands are the same?

If two players have the same hand, the pot is split and both players win half of it. This can happen for example if both players have the same cards (e.g. Ace-King) and nobody makes a Flush.

How do you hit a royal flush on video poker?

In Video Poker you can win the jackpot when you hit a Royal Flush. To maximize your chances you should always keep all suited cards 10 or above (if you have at least 2) and discard the rest. You will see a Royal Flush roughly once every 40,000 spins.

What are the odds of hitting a royal flush on a video poker machine?

The odds of hitting a royal flush directly are only 1 in 649,739. But since you can draw one time your odds increase. If you play perfectly your odds of hitting a royal flush are roughly 1 in 40,000.