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There are very few feelings in poker that beat the one of flopping quads or a straight flush. There you are, sitting with the absolute nuts and your only job is to figure out how to milk your opponents most money you can.
But if you’ve been playing poker for a little while, you’ve probably realized these rare hands don’t come around nearly as often as you’d like.
This is because the odds of being dealt a royal flush or other top-ranking hands are quite small. If you want to know more about exact numbers and the math behind rare hands in Texas Hold’em, keep on reading. Committing these facts to memory will probably make those rare occasions when you actually do manage to make one of these hands even more exciting and profitable.Royal Flush (Straight Flush)
Odds of a Royal flush with 7 cards being involved (like in texas hold em): 4324 in 133784560. Which is 1 hand in every 30940 hands. Or if you like percentages. Royal Flush (Straight Flush) A royal flush is essentially the best possible hand that you can get in poker, but it’s still just a straight flush. So the odds of being dealt a royal are exactly the same as being dealt any other straight flush. You just need to have two hole cards that can make a royal, i.e., anything between a 10 and an Ace.
A royal flush is essentially the best possible hand that you can get in poker, but it’s still just a straight flush. So the odds of being dealt a royal are exactly the same as being dealt any other straight flush. You just need to have two hole cards that can make a royal, i.e., anything between a 10 and an Ace.
In this article, we’ll focus on the instances where you’ve got to use both of your cards to make your straight flush since doing it with just one card is neither as rare nor as lucrative, as you’ll have a four-straight, four-flush board that most players will tread very lightly on.
For two cards to be able to make a straight flush on the flop, they need to be suited and connected. However, not all of the starting hands meeting these criteria have the same odds, as some of them have more options than the others. Below is the table showing chances of flopping a straight flush with different types of suited connectors.HandNumber of possible combosPercentageA2sJust one (2-3-4)0.005%Suited connectors (i.e. 78s)Four (4-5-6, 5-6-9, 6-9-10, 9-10-J)0.02%One-gappers (i.e. 68s)Three (4-5-7, 5-7-9, 7-9-10)0.015%Two-gappers (i.e. 69s)Two (5-7-8, 7-8-10)0.001%
If you’ve been wondering why that straight flush never comes in when you decide to peel the flop with your suited connectors, the table above probably offers a bit of a new perspective. The odds of this happening, even with the best possible candidate, are very slim.Making a Straight Flush on Turn or River
More often than flopping a straight flush, you’ll actually flop a straight flush draw. It will be either an open-ended draw (with two possible cards to complete it) or a gutshot draw where only one card from the whole deck can improve you to straight flush.
Once you do flop that draw, the odds of making the hand actually improve quite significantly, even though they’re still low.Draw typeChance to improve on the turnChance to improve by the riverGutshot2.1%4.3%Open-ender4.3%8.4%
So if you have an open-ended straight flush draw on the flop, you have decent odds of hitting by the river. If your opponents will let you and if you account for the implied odds when you do hit this highly unlikely hand, these types of draws are sometimes worth chasing.Quads (Four of a Kind)
Quads are another rare Hold’em hand although not nearly as rare as a straight flush. You’ve probably seen quite a few of these during your time playing poker and have had them at least once or twice yourself as well.
Once again, I’ll focus on odds of making quads when you are dealt a pocket pair as that’s the kind of quads you want to have and that you can extract some value from.
First of all, if you run the numbers, the overall odds of making quads with a random pocket pair if you were to just deal five cards (flop, turn, and river) are 0.816%. This is not a very useful stat, though, as you’ll rarely get to see all five cards unless you improve on the flop (i.e., flop a set).
Below are some more useful numbers.Odds of flopping quadsOdds of turning quads (after flopping a set)Odds of getting quads by the river (after flopping a set)0.245%2.1%4.3%
If you compare these numbers with the aforementioned ones for the straight flush, you can see why you’ve likely seen quads much more often than straight flushes.
And, if you were wondering what the odds are of flopping quads with just one card (i.e., when not holding a pocket pair), that would be 0.001%.In Conclusion
Rare poker hands are at the top of hand strength charts for a reason. They’re very hard to get and when you do get them, you’ll almost always end up winning a pot. Even when you do lose with one of these hands, you might end up a winner as many cardrooms and casinos offer nice bad beat jackpots to tackle these precise scenarios.
Having seen these numbers, you’ll probably have a somewhat better idea of how (un)likely you are to be dealt a straight flush or quads during any individual session. Admittedly, this information won’t help you get any better in flopping royals. However, knowing the exact odds could save you a lot of money in the long run as you’ll know when to hold’em and when to fold’em.Other Posts You’ll Enjoy
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Getting a royal flush is the hardest hand to obtain when playing poker online or in a casino. If you’re wondering what your odds are of being dealt a royal flush and other hands, you’ve come to the right place. We’ve developed this page to equip you with all the information you need to know about your poker hand odds.
In this detailed guide about your odds of being dealt a royal flush and other hands while playing poker, we’ll provide you with tons of information. You can check out the preview below to get an idea of everything we’ll cover. Feel free to click on one of these section titles if you want to jump ahead. Breakdown of Potential Poker Hands
Before we dive into royal flush odds and other hands, we wanted to first ensure you’ve got a good understanding of the different hands possible when playing poker. Check out the sections below to look over all the different poker hands. We’ve listed them in the order of their rank when playing the game.No Pair
This one should be pretty obvious. In casino poker and online poker, if you don’t have a single pair or higher in your hand, you have what’s considered a “no pair” hand. In this case, your hand’s value will depend on the highest card you’ve got.Single Pair
If you end up getting a one pair hand, it means you’ve got two card values that match in your hand. For example, if you have two 4s, you have a single pair of 4s. While this isn’t a powerful poker hand, it does outrank anyone who has a no pair hand.Two Pair
Kicking things up a slight notch from a single pair would be a two pair hand. In this scenario, you have two sets of matching card values. As an example, if you have two Ks and two 10s in your hand, it would be a two pair hand. In turn, it would outrank any players with just a single pair or no pair. Three of a Kind
As the name implies, a poker hand that counts as three of a kind has three cards of the same value. For example, if you have three jacks in your hand, this would create a three of a kind poker hand. If you end up with the three of a kind hand, you’ll have a better hand than no pair, single pair, and two pair hands. Straight (Not Royal or Flush)
Up next on the poker hand rank scale is a straight. Here, we’re only focused on standard straights, which means we’re not counting straights that are either flush or royal in nature (more on those in a moment). To make a straight, you’ll need all five cards in your hand to be in sequential order. As an example, if you had A, 2, 3, 4, and 5, you’d have a straight poker hand. Flush (Not Straight or Royal)
Topping out straights and the other hands below it, a flush is another form of a poker hand. With a flush, you’ll have all five cards of your poker hand of the same suit. As an example, if all five cards in your hand are spades, you have a flush. For this particular hand, your cards do not count as a straight flush or a royal flush. We’ll touch on each of those below. Full House
The next hand up the poker hand ranking scale is a full house. To make a full house with your hand, you’ll need to have a three of a kind paired with a two of a kind. If you have three 10’s and two 5’s, you’d have a full house. Four of a Kind
One of the toughest hands to get when playing poker is a four of a kind. Here, you’ll need to have four cards of the same value in your hand. As an example, if you had four queens in your hand, you’ll have made a four of a kind poker hand. With four of a kind, there are only two other poker hands that can beat you. Straight Flush (Not Royal)
Second from the top of the best poker hands possible is the straight flush. The flush portion of this name implies you’ll need all your cards to be of the same suit. However, to make a straight flush, they also must be in sequential order. For example, having 3, 4, 5, 6, and 7 of the same suit would provide you with a straight flush poker hand. Royal Flush
The king of all poker hands is the royal flush. With a royal flush, it’s essentially a very specific straight flush. For starters, all your five cards must be the same suit. On top of that, it must be the 10, J, Q, K, and A of a particular suit to complete the royal flush.Poker Hand Odds for Five-Card Games
Up first, we wanted to start by presenting you with your odds of being dealt a royal flush and other hands when playing five-card games of poker. Most notably, this will include Five-Card Stud Poker. We’ve included a chart below which showcases your odds of being dealt each hand in conjunction with the potential combinations and associated probability.
One thing worth noting is that the chart below showcases your odds of having one of the hands in a five-card poker game. This data does not account for any possibilities of wild cards or draws, which may be present in select games like Five-Card Draw. Poker HandOddsCombinationsProbablityRoyal Flush1 in 649,74040.00015%Straight Flush1 in 72,192360.00139%Four of a Kind1 in 4,1656240.02401%Full House1 in 6933,7440.14406%Flush1 in 5085,1080.19654%Straight1 in 25410,2000.39246%Three of a Kind1 in 46.254,9122.11285%Two Pair1 in 21123,5524.75390%Single Pair1 in 1.371,098,24042.25690%No Pair1 in 0.9951,302,54050.11774%Chart Labels
*Odds: The odds of being dealt the particular poker hand in a five-card game.
*Combinations: How many different ways the poker hand can be made using all 52 cards in the deck.
*Probability: The statistical probability of being dealt the hand in a five-card poker game.
As you can see from the chart above, you’ve got the highest chance of being dealt a no pair or single pair hand when playing a five-card variant of poker online or in a casino. Interestingly, there’s roughly a 50% chance you won’t have a pair or better.
However, you can see just how tough it can be to get some of the other higher-ranking poker hands. Even two pair hands only happen about 5% of the time. And if you’re hoping for a royal flush, the odds of it happening are minuscule.Things More Likely to Happen Than Being Dealt a Royal Flush
Since the royal flush is the hardest poker hand to achieve, we wanted to provide you with some visualizations to help you grasp just how rare it is. Check out the list of things below, which are more likely to happen to you than being dealt a royal flush when playing a five-card variant of poker.
Getting in a Car Accident 1 in 103
Getting Audited by the Internal Revenue Service (IRS)1 in 175
Winning an Academy Award 1 in 11,500
Losing an Appendage in a Chainsaw-Related Accident 1 in 4,464
Going to the ER With a Pogo Stick-Related Injury 1 in 103Poker Hand Odds for Seven-Card Games
Up next, we wanted to provide you with royal flush odds and other poker hands when playing seven-card versions of poker. If you’re into games like Seven-Card Stud and No Limit Texas Hold’em, this is the section for you.
While the addition of two extra cards to work with doesn’t sound like much to some, it creates a dramatic difference. Instead of just 2,598,960 potential hand combinations, playing poker with seven cards brings the possibility of 133,784,560 hands. That means there are more than 50 times as many possible hand combinations thanks to those extra two cards in play!
This chart focuses on your odds of being dealt one of these hands in a game of seven-card poker. As with the previous five-card section, the poker probability and odds below do not take into account wild cards and draws from specific versions of poker. Poker HandOddsCombinationsProbablityRoyal Flush1 in 30,9394,3240.00323%Straight Flush1 in 3,58937,2600.02785%Four of a Kind1 in 594224,8480.16807%Full House1 in 37.53,473,1832.59610%Flush1 in 32.14,047,6443.02549%Straight1 in 20.66,180,0204.82987%Three of a Kind1 in 19.76,461,62023.49554%Two Pair1 in 3.2631,433,40023.49554%Single Pair1 in 1.2858,627,80043.82255%No Pair1 in 4.7423,294,46017.41192%Chart Labels
*Odds: The odds of being dealt the particular poker hand in a seven-card game.
*Combinations: How many different ways the poker hand can be made using all 52 cards in the deck.
*Probability: The statistical probability of being dealt the hand in a seven-card poker game.
Immediately, you’ll probably notice how much better your odds of getting most hands are. In the next section, we’ll provide you with even more information about how much better your chances are for each of these hands if you play a seven-card variant instead of a five-card one.
Thanks to the additional two cards, offering you the chance to make your best five-card hand, there are more potential combinations which can help you improve your starting hand.Texas Holdem Royal Flush Probability DistributionHow Much Better Your Odds Are Playing Seven-Card Poker
Now that we’ve broken down the difference in royal flush odds and other poker hands between five- and seven-card poker games, we wanted to help you visualize just how much better your odds are when playing a seven-card game. Check out the chart below to see why you might opt to choose a seven-card game if you’re hoping to land a significant hand like a royal or straight flush.Poker HandPercentage IncreaseRoyal Flush2000.00%Straight Flush1910.64%Four of a Kind600.00%Full House1702.13%Flush1439.38%Straight1077.02%Three of a Kind128.60%Two Pair394.24%Single Pair3.71%No Pair-65.26%Probability Of Royal Flush In Texas Holdem
As you can see from the chart above, there’s a 2000% greater chance you’ll get a royal flush when playing a seven-card poker game instead of a five-card game. Other hands which have an increased chance of happening when you’re playing a seven-card variant of poker include the straight flush, full house, flush, and straight. Texas Holdem Royal Flush Odds
Interestingly, there’s one hand where you have a lower chance of getting it when playing a seven-card game of poker instead of a five-card game. That hand is the no pair hand. Intuitively, this makes sense since there are increased chances you’ll make at least a pair thanks to the expanded cards you’re playing with. In this case, your chance of getting a no pair hand is 65% less when playing a seven-card game as opposed to a five-card one.Texas Holdem Royal Flush Probability ChartWrap UpTexas Holdem Royal Flush Probability Rules
Thanks for stopping in to check out this page about poker probability and the odds of being dealt a royal flush when playing online poker and casino poker. If you’re planning to play poker soon, don’t miss our complete guide to real money poker. In it, you’ll find all sorts of helpful information, including terminology, strategies, and so much more.Probability Of A Royal Flush In Texas Holdem
If you enjoyed this page about the odds of getting a royal flush, you might also enjoy other pages we’ve developed in this series. Check out the choices below to explore some of our other “What Are the Odds?” pages.
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