Poker Hands Ranking Probability
The Probability of drawing a given hand is calculated by dividing the number of ways of drawing the hand (Frequency) by the total number of 5-card hands (the sample space; =, ). For example, there are 4 different ways to draw a royal flush (one for each suit), so the probability is 4 / 2,598,960, or one in 649,740. Probability: 69' same rank, plu a pair. Five cards of the Probability: 507A same suit in any jrder. #6 - strail Five cards of an) Probability: 253. Suit, in sequence - Three Three cards of ti Probability: 463 of a Kind e same rank. #8 - Two Two cards of mi Probability: 20.0: 'air Itching rank, with 3nother two cards of another rank. The Probability of drawing a given hand is calculated by dividing the number of ways of drawing the hand (Frequency) by the total number of 5-card hands (the sample space; =,). For example, there are 4 different ways to draw a royal flush (one for each suit), so the probability is 4 / 2,598,960, or one in 649,740. This is the idea behind ranking the individual hands. A hand that is less likely to occur is given a higher rank than one that is more likely to occur.
- Poker Hand Ranking Printable
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- Poker Rankings Pdf
- Poker Card Hands Ranking
Poker may be the best-known card game, and if you’re going to play, you need to know how the hands rank. The following details the various Poker hands from the highest-ranking to lowest, along with the odds of catching such a hand:
Royal straight flush: The top five cards (A-K-Q-J-10) in one of the four suits. Odds: 650,000 to 1.
Straight flush: Any sequence of five cards from the same suit (such as the 2-3-4-5-6 of clubs). If two players have straight flushes on the same hand, the higher sequence outranks the lower one. Odds: 75,000 to 1.
Four of a kind: Four of any one card; the fifth card in the hand can be anything. If two players have four of a kind at the same time, the rank of the four cards determines the better hand. If two players have equal ranked quads, the rank of the fifth card determines who wins. Odds: 4,150 to 1.
Full house: Three of a kind matched with a pair — for example, three 10s and two 9s. If two players both have a full house, the higher three of a kind determines the better hand. Odds: 700 to 1.
Flush: Five cards of the same suit, no sequence required. When two players have flushes, the highest card in each flush determines the better hand; if the top cards are the same, you look at the second card, and so on. Odds: 500 to 1.
Straight: Five cards of consecutive rank (in numerical sequence) in any suit. If two players have straights, the top card of the straight determines the winner. Odds: 250 to 1.
Three of a kind: Also knows as triplets, trips, or a set, this hand consists of three cards of the same numeric value, together with two unmatched cards. The higher-ranking three of a kind wins. Odds: 47 to 1.
Two pair: Four cards in two pairs with an unmatched fifth card. Ties are broken by the value of the top pair, followed by the value of the second pair, and finally by the spare card. Odds: 20 to 1.
One pair: One pair with three unmatched cards is the second-lowest hand. The rank of the pair, followed by the unmatched cards, splits the tie. Odds: 2 to 5.
High card: The weakest hand, high card means you have five unmatched cards. The top card in the hand determines the better collection. If two hands tie, such as two hands with ace-high, you move to the second card, and so on. Odds: 1 to 1.
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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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?
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?
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?
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.
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).
Poker Hand Ranking Printable
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.
Poker Hand Rankings Printable Chart
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.
Poker Rankings Pdf
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.