Poker Sequence
- The is the best possible hand you can get in standard five-card Poker is called a royal flush. This hand consists of an: ace, king, queen, jack and 10, all of the same suit. If you have a royal flush, you'll want to bet higher because this is a hard hand to beat. Liliboas / Getty Images.
- Poker is a popular game with multiple variations. Poker dealers distribute cards to players and are in charge of overseeing the action at the poker table. There are specific skills and characteristics you must develop in order to become a.
- A game that revolves mainly around a sequence of poker hands to determine the winner, in reality, poker is much more than meets the eye. Such is the enormousness of the poker industry today, it is common to see celebrities and other big names playing the game in the world’s biggest poker events.
Sequence Seven card Stud Poker. If throughout the course of cards being dealt face-up, a Two appears, then all Twos are wild in all hands. If this is established, and later a Three appears, then all Threes are wild in all hands (with Twos no longer wild).
In the standard game of poker, each player gets5 cards and places a bet, hoping his cards are 'better'than the other players' hands.
The game is played with a pack containing 52 cards in 4 suits, consisting of:
13 hearts:
13 diamonds
13 clubs:
13 spades:
♥ 2 3 4 5 6 7 8 9 10 J Q K A
♦ 2 3 4 5 6 7 8 9 10 J Q K A
♣ 2 3 4 5 6 7 8 9 10 J Q K A
♠ 2 3 4 5 6 7 8 9 10 J Q K A
The number of different possible poker hands is found by counting the number of ways that 5 cards can be selected from 52 cards, where the order is not important. It is a combination, so we use `C_r^n`.
The number of possible poker hands
`=C_5^52=(52!)/(5!xx47!)=2,598,960`.
Royal Flush
The best hand (because of the low probability that it will occur) is the royal flush, which consists of 10, J, Q, K, A of the same suit. There are only 4 ways of getting such a hand (because there are 4 suits), so the probability of being dealt a royal flush is
`4/(2,598,960)=0.000 001 539`
Straight Flush
The next most valuable type of hand is a straight flush, which is 5 cards in order, all of the same suit.
For example, 2♣, 3♣, 4♣, 5♣, 6♣ is a straight flush.
For each suit there are 10 such straights (the one starting with Ace, the one starting with 2, the one starting with 3, ... through to the one starting at 10) and there are 4 suits, so there are 40 possible straight flushes.
The probability of being dealt a straight flush is
`40/(2,598,960)=0.000 015 39`
[Note: There is some overlap here since the straight flush starting at 10 is the same as the royal flush. So strictly there are 36 straight flushes (4 × 9) if we don't count the royal flush. The probability of getting a straight flush then is 36/2,598,960 = 0.00001385.]
The table below lists the number ofpossible ways that different types of hands can arise and theirprobability of occurrence.
Ranking, Frequency and Probability of Poker Hands
Hand | No. of Ways | Probability | Description |
Royal Flush | 4 | 0.000002 | Ten, J, Q, K, A of one suit. |
Straight Flush | 36 | 0.000015 | A straight is 5 cards in order. (Excludes royal and straight flushes.) An example of a straight flush is: 5, 6, 7, 8, 9, all spades. |
Four of a Kind | 624 | 0.000240 | Example: 4 kings and any other card. |
Full House | 3,744 | 0.001441 | 3 cards of one denominator and 2 cards of another. For example, 3 aces and 2 kings is a full house. |
Flush | 5,108 | 0.001965 | All 5 cards are from the same suit. (Excludes royal and straight flushes) For example, 2, 4, 5, 9, J (all hearts) is a flush. |
Straight | 10,200 | 0.003925 | The 5 cards are in order. (Excludes royal flush and straight flush) For example, 3, 4, 5, 6, 7 (any suit) is a straight. |
Three of a Kind | 54,912 | 0.021129 | Example: A hand with 3 aces, one J and one Q. |
Two Pairs | 123,552 | 0.047539 | Example: 3, 3, Q, Q, 5 |
One Pair | 1,098,240 | 0.422569 | Example: 10, 10, 4, 6, K |
Nothing | 1,302,540 | 0.501177 | Example: 3, 6, 8, 9, K (at least two different suits) |
Question
The probability for a full house is given above as 0.001441. Where does this come from?
Answer
Explanation 1:
Probability of 3 cards having the same denomination: `4/52 xx 3/51 xx 2/50 xx 13 = 1/425`.
(There are 13 ways we can get 3 of a kind).
The probability that the next 2 cards are a pair: `4/49 xx 3/48 xx 12 = 3/49`
(There are 12 ways we can get a pair, once we have already got our 3 of a kind).
The number of ways of getting a particular sequence of 5 cards where there are 3 of one kind and 2 of another kind is:
`(5!)/(3!xx2!)=10`
So the probability of a full house is
`1/425 xx 3/49 xx 10 ` `= 6/(4,165)` `=0.001 440 6`
Explanation 2:
Number of ways of getting a full house:
`(C(13,1)xxC(4,3))` `xx(C(12,1)xxC(4,2))`
`=(13!)/(1!xx12!)` `xx(4!)/(3!xx1!)` `xx(12!)/(1!xx11!)` `xx(4!)/(2!xx2!)`
`=3744`
Number of possible poker hands
`=C(52,5)` `=(52!)/(47!xx5!)` `=2,598,960`
So the probability of a full house is given by:
`P('full house')`
`='ways of getting full house'/'possible poker hands'`
`= (3,744)/(2,598,960)`
`=0.001 441`
What Are The Poker Hands
Though the rules vary according to the poker tournament variant, the highest poker hand ranking always wins. Poker hand order is determined by the pattern formed by the cards. If the patterns formed are the same, then the poker card rankings determine the winner. Individual cards in poker order are ranked highest to lowest: A, K, Q, J, 10, 9, 8, 7, 6, 5, 4, 3 and 2.
Suits are not ranked, so hands that differ by suit alone are of equal rank. The top poker hands to play fall into nine categories using a standard deck of 52 cards. A player can form 2,598,960 distinct poker hands since the order in which they are dealt with are inconsequential. Since the suits are of equal rank, a player can form 7462 distinct texas Holdem poker hands.
What Are Poker Suits?
♣ Club
♦ Diamond
♥ Heart
♠ Spade
What Are Top Poker Hands To Play?
1. Pocket Aces - Every poker player knows the power of this poker card ranking. Pocket aces are also the strongest starting hand in poker hand order. They make the best poker hand pre-flop and the odds are 4:1 favourite over any other poker hand. One in every 221 poker hands is a pocket ace and if you're a serial grinder, you should know how to play this best poker hand.
Also known as Pocket Rockets, Two Pips.
2. Pocket Kings - Pocket Kings are a favourite against any hand (except aces). This texas Holdem poker hand is winning two-thirds of the time against Ace high and therefore ranks just below pocket aces in poker hand order in real money poker game.
Also known as Cowboys, King Kong, Ace Magnets.
3. Pocket Queens - One of the best poker hands to play poker strongly pre-flop. You should be raising or re-raising from any position with these Ladies. This texas Holdem poker hand is likely to be called by plenty of opponents with not the best poker hands.
Also known as Ladies.
4. Ace-King Suited - This is a texas Holdem poker hand easy to fall in love with. While pre-flop in remains a great hand beating post pocket pairs (except kings and aces). But it’s important to realize that if you don’t connect with the flop, then you only have an ace-high.
Also known as Big Slick, Anna Kournikova, Big Ugly.
5. Pocket Jacks - This is the best poker hand against any unpaired hand and strong pre-flop over any weaker waits. A great texas Holdem poker hand to play in late position with an unraised pot, but be wary of the early position raises.
Other Nicknames: Brothers, Suckers.
6. Pocket Tens - Pocket tens are a strong starting hand in poker. This texas Holdem poker hand will still win against overcards most times and is good enough not hitting a third on the flop. If the pot has witnessed a lot of action before you, it’s an easy fold with this texas Holdem ranking.
Also known as Dimes, TNT, Dynamite.
7. Ace-Queen Suited - This is a texas Holdem poker hand that ranks high in poker order due to its relative strength compared to other starting hands. It’s a tricky hand to play and might require you to fold even after hitting a pair on the flop. If you miss the flop with this poker hand, it’s best to fold and stay out of trouble.
Also known as Little Slick, Antony & Cleopatra, Mrs Slick, Rocket Queen.
8. Ace-King Offsuit - This is the best poker hand to be calling in position pre-flop to keep the pot small and also get paid if you pair one of the two hole cards. It’s not as strong as its suited counterpart and you have to keep in mind that you’ve reduced your chances of hitting a flush, however, it’s still 40% favourite.
9. Ace-Jack Suited - The potential of this hand like an AK or AQ suited are the odds of hitting a royal flush. However, this texas Holdem poker hand needs to be played wisely especially when you have a player raising in early position. An AK or AQ will have you beat and it’s wise to not fall in love with your AJ suited.
Also known as Hijack, Jackass, Apple Jacks.
10. King-Queen Suited - King-queen suited is a great texas Holdem poker hand that is known to flop well. It opens up a large number of straights and flushes, and the odds of hitting a high pair making it one of the best poker hands to play.
Also known as Marriage.
Poker Card Rankings Explained
Royal Flush - A♥ K♥ Q♥ J♥ 10♥
Straight Flush - Q♥ J♥ 10♥ 9♥ 8♥
Four of a kind - 3♣ 3♠ 3♦ 3♥ 8♥
Full House - Q♦ Q♠ Q♣ 2♣ 2♦
Flush - 5♦ J♦ 3♦ K♦ 4♦
Straight - 5♣ 4♠ 3♠ 2♥ A♦
Poker Sequence Of Play
Three of a kind or set - 8♦ 8♠ 8♣ K♠ A♠
Two Pair - 9♠ 9♥ 5♦ 5♥ A♠
One Pair - 6♦ 6♥ 2♥ 5♠ K♣
High Card - Q♠ 5♣ 4♦ 3♦ 2♣
Poker Hand FAQ
Question 1: What is the best poker hand?
Poker Sequence Chart
Question 2: What is the worst starting hand in Texas Hold’em Poker Hands?
Question 3: In which order are the poker hands ranked?
Poker Sequence Game
Question 4: How are poker hands constructed?