Poker Probability Of Straight Flush

The probability of being dealt a royal flush is the number of royal flushes divided by the total number of poker hands. We now carry out the division and see that a royal flush is rare indeed. There is only a probability of 4/2,598,960 = 1/649,740 = 0.00015% of being dealt this hand. The Ten to Ace Straight Flush is the strongest hand in poker and is referred to as the “Royal Flush”. Odds of Making a Straight Flush on the Flop. Flopping a Straight Flush seldom happens in poker. We specifically need to start out with two suited connected cards for this to be possible. A STRAIGHT FLUSH All 5 cards are from the same suit and they form a straight (they may also be a royal flush). The number of such hands is 4.10, and the probability is 0. IF YOU MEAN TO EXCLUDE ROYAL FLUSHES, SUBTRACT 4 (SEE THE NEXT TYPE OF HAND): the number of hands would then be 4.10-4 = 36, with probability approximately 0.

Table Of Contents

Do you want to know what beats what in poker? Use the official poker hands rankings chart and seem them from best to worst!

Probability

Straight Flush Poker

Whether you play live at your local casino or card room, you have your home game going, or you prefer the online action at websites like PokerStars, 888Poker, or partypoker, you need to learn the order of poker hands from best to worse.

Use the list of poker hands below to know beats what in poker.

Commit this poker hands ranking list to memory today and print it if you need it (there's a button for it at the bottom). Knowing the correct poker hands rank is key to start making winning poker hands.

Poker Hands From Best To Worst

Poker Hands From Best To Worst

1. Royal Flush10JQKAThe best possible hand in Texas hold'em is the combination of ten, jack, queen, king, ace, all of the same suit
2. Straight Flush56789Five cards of the same suit in sequential order
3. Four-Of-A-Kind3333KAny four numerically matching cards
4. Full HouseJJJKKCombination of three of a kind and a pair in the same hand
5. Flush2459KFive cards of the same suit, in any order
6. StraightA2345Five cards of any suit, in sequential order
7. Three-Of-A-Kind77745Any three numerically matching cards
8. Two Pair99KK4Two different pairs in the same hand
9. One Pair10103QKAny two numerically matching cards
10. High CardK248QThe highest ranked card in your hand with an ace being the highest and two being the lowest
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Not Sure What Beats What in Poker?

Many consider poker less of a gambling game than other casino games. For that to be true, players need to improve their understanding of game play and the strategy required to be a winning player.

The first step toward learning how to play poker is to learn the poker hand rankings.

Most poker players have these rankings memorized, which allows them to think about other things at the table when deciding the best way to play their hands.

The good news is these hand rankings tend to be the same among a wide variety of poker variants, whether it is Texas Hold'em, Omaha, seven-card stud, or other games.

All of those games use the same traditional poker hand rankings that were first developed way back in the 19th century when five-card draw first started to be played.

On this page, you find a complete list of poker hand rankings going from the highest possible hand (the Royal Flush), down to the lowest hand in which there is no pair among the five cards.

Hand rankings in poker correspond to the likelihood of making such hands.

A royal flush, consisting of the cards ranked ace through ten all being the same suit, is extremely rare — in fact, some players go their entire lives without making a royal flush.

A regular straight flush with any five consecutive cards of the same suit is a little less rare, four of a kind occurs slightly more frequently, and so on.

Notice that a full house is ranked higher than a flush.

That's because a full house comes just a little less frequently than a flush, thereby making it the higher-ranked hand of the two.

Additional readings for beginners:

  • Poker Tips: A collection of tips 'to bring your game from 'meh' to amazing' created to help beginners become better players.
  • Texas Hold'em Strategy: a complete manual to read as soon as you start to remember what beats what in poker.
  • Poker starting hands chart: the only article you need to read to learn how to use your cards to the fullest.

Understanding Winning Poker Hands

Players new to the game of Texas hold'em often struggle, at least at first, with what the best poker hands are.

Once they have read this easy-to-digest guide that will no longer be the case.

The aim of Texas hold'em is to make the best five-card poker hand at showdown.

You can win without having to show your cards if you force someone to fold before the river. Nonetheless, for the purpose of this article, we'll pretend that we've gone to showdown and need to know what beats what in poker.

Winning Poker Hands: What Are The Best Hands In Poker?

First up is the weakest possible holding you can make in poker, a hand that can still win you the pot, although the likelihood of that happening decreases in a pot involving multiple players.

We are of course talking about high card.

As the name suggests, you don't even hold a pair here and instead are using the highest card among the five you are playing.

Example:

You have and the board has come .

Your best five-card hand would be where you would hold queen-high.

Next up is one pair, one of the more common Texas hold'em hands and one that will win you plenty of pots.

Example:

You have and the board comes .

Your five-card hand is — you have a pair of aces. Nice poker hand!

One place higher up on the poker hands chart is two pair.

Example:

You have and the five community cards are .

Your best five-card hand at showdown is or two pair, tens and nines.

One note of warning on this specific poker hand: if you are verbally declaring your hand, try to announce the higher pair first as to help avoid confusion.

Good Poker Hands

Now we're getting into the realm of the best poker hands because once you make three-of-a-kind (sometimes called a set or trips), you are much more likely to win the pot than with any of the previously mentioned hands.

Example:

Your five-card poker hand is — you have three-of-a-kind kings, often a very powerful hand in hold'em.

To beat three-of-a-kind you're going to need at least a straight.

A straight is five consecutive cards where at least one of them is a different suit from the others.

Example:
Should your hand read you would hold a six-high straight.

If someone held a seven-high straight, then that player would win the hand.

There are two straights that have nicknames that are worth remembering.

A wheel is a straight that runs from ace-to-five, and a Broadway straight — the strongest straight — runs from ten-to-ace.

A flush is one of the most powerful Texas hold'em hands because it is only beaten by a handful of others.

Any hand that that has five cards of the same suit is a flush.

Straight Flush Poker Mn

Aces are always high when it comes to flushes, which means a hand such as beats .

There are few hands that can beat a flush — one that does is a full house. Also called a 'boat,' a full house is when your five-card hand is made up of three of a kind plus a pair.

Example:

With you have kings full of deuces, while is fives full of queens.

When it comes to full houses, the higher three of a kind determines which hand wins, so in this case 'kings full' would beat 'fives full.'

The Stronger Hands in Poker

The next three holdings are so rare that if you hold them, you can almost guarantee that they are winning poker hands.

Four of a kind is the minimum holding you'll need to beat someone with a full house.

Again, as the name suggests, four of a kind means having four cards of the same rank.

Example:

is four-of-a-kind tens and an extremely powerful holding.

Your only way to beat four of a kind, or 'quads' as they are often called, is to hold either a straight flush or a Royal Flush.

The former is five consecutive cards all of the same suit, so would be an eight-high straight flush and practically unbeatable.

If you manage to make (or the same holding in any of the other three suits), you have a Royal Flush and the only way to lose the hand would be to fold by accident!

Poker Hands Probability

If you are into numbers (most poker players are), you might be wondering about the probability of poker hands.

We said that she platers might go entire lives without ever getting the highest hand in poker but, looking at the numbers, what are the odds of a Royal Flush?

In this section of our complete analysis of the poker hand ranking and what beats what in poker, you get a clear overview of the probability of poker hands.

How to calculate the probability of poker hands?

When you know that there are 52 cards in play and 2,598,960 possible combinations, the calculation is easy.

You just need to divide the number of possibilities to build a specific poker hand by the number of total poker hands.

Let's run a few examples:

What are the odds of a Royal Flush? 0.000,001,539
(4/2,598,960)

What are the odds of a Straight Flush? 0.000,015,39
(40/2,598,960)

Use the table below to calculate the probabilities of all poker hands.

Poker HandNo. WaysProbability
Royal Flush40.000,001,539
Straight Flush400.000,015,39
Four-of-a-Kind6240.000,240,1
Full House3,7440.001,440,58
Flush5,1080.001,965,4
Straight10,2000.003,924,65
Three-of-a-Kind54,9120.021,128,45
Two Pairs123,5520,047,539,02
One Pair1,098,2400,422.569.03

Absolute Value vs. Relative Value of Poker Hands

It should be noted also that while poker hand rankings never change, sometimes circumstances can make a good hand less valuable and a poor hand more valuable.

In other words, when it comes to poker hands there's a difference between absolute value (reflected in the list of poker hands above) and relative value.

For instance, in a game of Texas hold'em, if you have two pair that might seem like a good hand.

But if your opponent keeps betting into you and it's possible he could have a straight or flush, your two pair is no longer looking so good.

Meanwhile, if you have just one pair but your opponent keeps checking to give you a free play at the pot, you might well have the strongest hand and should bet your hand.

The 'absolute' value of your hand may not be great, but in that case the 'relative' value very well could be.

Also worth mentioning is the fact that in some games like razz, deuce-to-seven triple draw, Badugi, and others you might encounter when playing online poker, the hand rankings listed below do not apply.

These hand rankings are for regular or 'high-card' games, not 'lowball' games with alternate hand rankings.

Poker Hand Rankings F.A.Q.

Poker Probability Of Straight Flush

What is the order of poker hands?

As shown in the poker hand rankings chart, the order of poker rankings (from the highest to the lowest) is: Royal Flush, Straight Flush, Four-of-a-Kind, Full House, Flush, Straight, Three-of-a-Kind, Two Pair, One Pair, High Card.

What is the best hand in poker?

The Royal Flush is the best hand in poker. To have a Royal Flush, you need an Ace, a King, a Queen, a Jack, and a 10. All the cards that compose the hand need to be of the same suit.

What beats what in poker?

As you can see in our poker hand rankings chart, the hands in poker follow a clear hierarchy.

In a game of poker, the hand rankings work as follows:

  • a pair beats a high card;
  • a two pair beats a one pair;
  • a three-of-a-kind beats a two pair;
  • a straight beats a three-of-a-kind;
  • a flush beats a straight;
  • a full house beats a flush;
  • a four-of-a-kind beats a full house;
  • a straight flush beats a four-of-a-kind;
  • a Royal Flush beats a straight flush.

The Royal Flush is the best hand in poker, so no one other hands beat this one.

What is a straight in poker?

You have a straight when all the five cards that compose your poker hand are consecutive ones. E.g. 5-6-7-8-9.

If the cards are of the same suit, you have a straight flush, which is a considerably stronger hand compare d to the simple straight.

What beats a straight in poker?

Although many see the straight as a stronger hand, there are many other poker hands that beat it.

The list of hands that beat a straight includes:

  • a flush;
  • a full house;
  • a four-of-a-kind;
  • a straight flush;
  • a Royal Flush.

What beats a flush in poker?

The list of hands that beat a flush includes:

  • a full house;
  • a four-of-a-kind;
  • a straight flush;
  • a Royal Flush.

What beats a full house in poker?

The list of hands that beat a full house includes:

  • a four-of-a-kind;
  • a straight flush;
  • a Royal Flush.

What is the highest suit in poker?

All the suits in poker have the same value. In some games, different suits can be assigned different values.

When that happens, the value is as follow (from the lowest to the highest): clubs, diamonds, hearts, spades. In that case, spades is the highest suit.

How many poker hands are there?

Poker Probability Of Straight Flush Line

The total number of poker hands in a game of poker is 2,598,960. Since a game of poker uses a 52-card deck of French cards, there are 2,598,960 different possible combinations (aka. poker hands).

What hands to play in poker?

The type of hands to play in a poker game depends on the game you play and other factors like your position in the hand, your stack, and the action at the table.

In a famous poker strategy article, professional player Jonathan Little shared which hands to play in poker and how to play marginal hands.

Can you make three pairs?

Although it is possible to hold a pair in your hand and then have another two pair appear among the five community cards, you can only use a total of five cards to make your poker hand, so you don't win anything for three pairs.

Which is better, a set or trips?

They are both essentially the same hand because they are both three of a kind.

The terminology 'set' is used when you have a pair as your hole cards and then catch another one of those cards on the board.

'Trips' is when there is a pair on the board and you have another of those cards as one of your hole cards.

Sets are easier to disguise than trips so many consider them to be a better hand, although they both rank the same.

What is a chopped or split pot?

If you and an opponent have the same five-card poker hand, then the pot is divided equally between you.

Say you have and your opponent has , and the board comes .

You both would be playing the same five-card hands in terms of their value (A-J-T-8-3), and so would split the pot.

If there is four of a kind on the board, who wins?

Because the aim is to make a five-card poker hand, whoever has the highest fifth card in this case wins.

If the board reads and you have in your hand and your opponent has , then you win because you hand is 7-7-7-7-A and your opponent's is 7-7-7-7-K.

You would also win even if your opponent holding was in this example.

Are the suits ranked in Texas hold'em?

No, they are not. Some poker variants have different ranks for suits, but hold'em is not one of them.

Why did my 4-4-4-T-T lose to my opponent's 7-7-7-8-8?

As mentioned earlier, it is the three-of-a-kind element of a full house that dictates the winner.

If you're new to the game and want a reference of all of Texas hold'em hands, you can keep this page open or you could always download and print our poker hands ranking chart and keep it next to you while you're playing poker.

Useful Poker Tools

  • Poker Odds Calculator: Add your cards to the calculator to discover your chances to win the hand.
  • How to use PokerStars Tools to Your Advantage: As a beginner, this article can save your life! Let us show you how you can use all the tools available on the PokerStars client to become an outstanding poker player!

Probability Of Straight Flush In 3 Card Poker

Sat, May 25, 3:42am by Mia Chapman

Last Updated Tue, Oct 8, 12:24am


Royal Flush

The best possible hand is a royal flush, which is a straight and a flush with the top five cards: ace, king, queen, jack, and ten. When you get these five cards all of one suit, you can’t lose in poker. Most games don’t make distinctions in suit rankings. A royal flush happens once in every 649,739 hands, so it’s a rare happening. Bet with conviction when playing these cards.

Straight Flush

A straight flush is any combination of five cards in sequence with the same suit. Getting the 2-3-4-5-6 of clubs is a straight flush, while getting the K-Q-J-10-9 of spades is a straight flush. If two happened in the same pot, the high card would win. This is also rare, about 1 in 72,192 hands or, at a 9 player table, about once every 8,000 pots.

Four of a Kind

The four of a kind is just that: four of any one card rank. You might have 4 aces, 4 sevens, or 4 twos, but each is a great hand. If two go head-to-head, the high card wins. The odds of getting this combination is one in every 4,164.

Full House

This is 3 of one card and 2 of another. If you had the 3 kings and 2 queens, it’s a full house. If you held 3 twos and 2 threes, it’s a full house. The odds of holding this hand is 1 in 694, so somebody at your table is likely to see a full house once every 75 hands or so.

Flush

The flush is simply 5 cards of any one suit, but not in sequential order. This excludes the royal flush and straight flush. A typical flush might be the king, jack, eight, five, and three of hearts.

The odds of this happening are 1:508, so a little less likely than the full house. Players should be aware in Texas holdem of the “nut flush”. Holding the nuts simply means holding the strongest possible hand from the cards showing.

The community cards show Q-J-10 and you hold the 9-8, you should be aware that you’re holding a flush which could be beat. If someone else holds a K-9, you lose. If someone holds an ace-king, they have a straight flush and you are really dominated. Since it’s a lot more likely someone holding A-K is likely to be in the pot than someone holding K-9, you must consider the possibility.

Straight

The straight is 5 cards in a row, regardless of suit. The straight might be an A-Q-J-10-9 or it might be the A-2-3-4-6, or some combination in between. Remember that the ace can fill out a straight as a high or low card. The odds you’ll get a straight are 1:254, or twice the probability you’ll draw a flush.

Three of a Kind

The three of a kind is a simply 3 of any one card rank. You might hold 3 aces or 777 or 3 twos. In any cases, triples is a strong hand in Texas holdem. This happens once in every 46.3 hands, meaning some is going to hold three of a kind once every 5 hands at a 9-player table.

Two Pair

Two pair is a two of one card and two of another. You might think this would be rarer than a 3 of a kind, but hold 2 pairs is a 1 in 20 proposition. This happens almost every other hand at a big table. Players with two pairs are urged to bet enough to push out gamblers on a draw, because the longer the hand goes, the more likely someone is going to outdraw your two pair.

Straight Flush Probability

One Pair

Holding one single pair. This is considered a strong starting hand, but a player needs to consider that a higher pair might be on the table. One in every 1.36 hands dealt are going to contain a pair. If you hold a pair of 2’s, that’s not nearly as good as holding a pair of A’s. Even a pair of aces is in a dangerous position if you don’t improve on the hand by getting trips, two pair, or a full house.

Poker Probability Of Straight Flush 3

High Card – No Pair

The weakest hand in poker is no pair, which is called “high card”. Whatever your highest card is where your hand is ranked. If you have an ace, you would hold aces high. If you held a 7-5-4-3-2, you would have seven high, which is the weakest possible hand in most games of poker. If you were playing either the Omaha or seven-card stud hi/lo game variant, this would be a strong hand.

Poker Probability Of Straight Flush

Otherwise, you’re going to be beaten, which is why holding a 7-2 offsuit is considered the weakest starting hand in Texas holdem. You simply hold no way to improve with flush or straight, so you’re hoping to pair 7s and 2s.

Mastering the Hand Ranks

Knowing the hand ranks gives a player a quick signpost for their strength when betting into a pot. A successful poker player needs a detailed knowledge of the hand rankings. When I say you need to know the poker hands, I’m not talking about whether a pair of aces beats a pair of kings.

I’m talking about that mass of card combinations between the best and worst hands. Whenever you hold any set of cards, a gambler needs to know its strength relative to the rest of the possibilities. To do this, card players should study hand ranking charts not much different than what you would study in blackjack.

Several experts have made tables which detail the playable hands in Texas hold’em, Omaha holdem, seven-card stud, razz, and the various hi/lo 8-or-better variants of the games already mentioned. Study these for the game or variant you want to master. That way, you know which hands to play and which to fold.

Even if you decide to play a hunch or make a bluff, you do so with the knowledge that you’re diverging from classic poker strategy. Predicate all you do in poker on a firm understanding of the hand ranks.

See also: