Odds Of A Royal Flush Texas Holdem
The Odds of Making a Flush Hand in Poker The odds of flopping a Flush with a suited starting hand is 0.82% or 1 in 122 Definition of Flush – We make a Flush by having five cards of the same suit. A Royal Flush is the highest possible hand in Poker and the odds are 649,739: 1. The above is true for 5 card poker, but not true for Holdem. Because there are 7 cards, the odds go way down. The actual percentage odds for a flush draw hitting on the turn and then by the river are 19.1% and 35% respectively, getting you pretty close with the 2 and 4 hack. This system works well in any situation with any number of outs. So - what are the odds of hitting a royal flush? In Texas Hold'em, there are a total of 2,598,960 different five card poker hands. This includes the four royal flushes (Diamonds, Spades, Clubs and Hearts). So - the odds of hitting a royal flush would be 4/2,598,960.
The following table shows the number of combinations for 2 to 10 cards from a single 52-card deck, with no wild cards. For the purpose of this table, a royal flush, straight flush, flush, and straight must use all cards. A royal flush is defined as an ace-high straight flush. For example, with three cards, a royal flush would be suited QKA. In hold em, the probability you hit a royal flush by the flop is the same as in draw poker. However, we can compute an upper bound for the probability that you hit a royal flush by the river. If we make the assumption that you will play any two suited cards 10+, and that you always see 5 board cards, then the probability is. In Hold ‘Em, each player potentially has seven cards (the two cards in your hand and the five community cards) with which to hit the elusive royal. The chances of getting a royal flush in Hold ‘Em are 1 in 30,940 hands. Incidentally, the chances of getting a royal flush in 7-Card Stud are the same as in Hold ‘Em.
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 Hand | Odds | Combinations | Probablity |
|---|---|---|---|
| Royal Flush | 1 in 649,740 | 4 | 0.00015% |
| Straight Flush | 1 in 72,192 | 36 | 0.00139% |
| Four of a Kind | 1 in 4,165 | 624 | 0.02401% |
| Full House | 1 in 693 | 3,744 | 0.14406% |
| Flush | 1 in 508 | 5,108 | 0.19654% |
| Straight | 1 in 254 | 10,200 | 0.39246% |
| Three of a Kind | 1 in 46.2 | 54,912 | 2.11285% |
| Two Pair | 1 in 21 | 123,552 | 4.75390% |
| Single Pair | 1 in 1.37 | 1,098,240 | 42.25690% |
| No Pair | 1 in 0.995 | 1,302,540 | 50.11774% |
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 103
Poker 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 Hand | Odds | Combinations | Probablity |
|---|---|---|---|
| Royal Flush | 1 in 30,939 | 4,324 | 0.00323% |
| Straight Flush | 1 in 3,589 | 37,260 | 0.02785% |
| Four of a Kind | 1 in 594 | 224,848 | 0.16807% |
| Full House | 1 in 37.5 | 3,473,183 | 2.59610% |
| Flush | 1 in 32.1 | 4,047,644 | 3.02549% |
| Straight | 1 in 20.6 | 6,180,020 | 4.82987% |
| Three of a Kind | 1 in 19.7 | 6,461,620 | 23.49554% |
| Two Pair | 1 in 3.26 | 31,433,400 | 23.49554% |
| Single Pair | 1 in 1.28 | 58,627,800 | 43.82255% |
| No Pair | 1 in 4.74 | 23,294,460 | 17.41192% |
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.
How 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 Hand | Percentage Increase |
|---|---|
| Royal Flush | 2000.00% |
| Straight Flush | 1910.64% |
| Four of a Kind | 600.00% |
| Full House | 1702.13% |
| Flush | 1439.38% |
| Straight | 1077.02% |
| Three of a Kind | 128.60% |
| Two Pair | 394.24% |
| Single Pair | 3.71% |
| No Pair | -65.26% |
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.
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.
Wrap Up
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.
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.
You have 2 of the 5 RF cards in the hole. Doesn't matter if they are As-Ks or Js-Ts, etc. What are the odds you will get a Royal Flush by street:
a) make RF by the Flop
b) make RF by the Turn
c) make RF by the River
My calculations were as follows:
a1) 19,599 to 1 on the flop
b1) about 5,000 to 1 on the turn
c1) about 2,000 to 1 on the river
The general consensus was the true value by the river was either 60,000 to 1 or 30,000 to 1 by the river. This seems totally nonsensical to me but I was in the distinct minority (i.e. it was only me!). Can someone with more probability know-how step up and provide a definite answer to this question?
Thank You.
Odds Of Flopping Royal Flush In Texas Holdem
Odds Of Royal Flush In Ultimate Texas Holdem
My local casino runs a special prize for making a Royal Flush (RF) hand in Hold Em poker. The hand does not have to go to showdown, but both your hole cards must play (i.e. they must be 2 of the 5 RF cards). I was discussing the odds of making such a hand with other players and I got a lot of different feedback, none of which I felt was correct. Here is the scenario:
You have 2 of the 5 RF cards in the hole. Doesn't matter if they are As-Ks or Js-Ts, etc. What are the odds you will get a Royal Flush by street:
a) make RF by the Flop
b) make RF by the Turn
c) make RF by the River
My calculations were as follows:
a1) 19,599 to 1 on the flop
b1) about 5,000 to 1 on the turn
c1) about 2,000 to 1 on the river
The general consensus was the true value by the river was either 60,000 to 1 or 30,000 to 1 by the river. This seems totally nonsensical to me but I was in the distinct minority (i.e. it was only me!). Can someone with more probability know-how step up and provide a definite answer to this question?
Thank You.
If you have 2 royal flush cards as hole cards the odds that you will make a royal flush by the river using those hole cards are combin(47,2)/combin(50,2) or 1081/2118760 or 1 in 1960. 1/10 the time you flop it. 3/10 it will be made on the turn and 6/10 on the river.
The general consensus was the true value by the river was either 60,000 to 1 or 30,000 to 1 by the river. This seems totally nonsensical to me but I was in the distinct minority (i.e. it was only me!). Can someone with more probability know-how step up and provide a definite answer to this question?
Thank You.
Because in terms of it just generally happening they were correct. It's only about one in 2000 to happen by the river AFTER you get Royal holecards dealt to you, unfortunately 97% of starting hands aren't two Royal cards.
The probability of getting 2 Royal cards to start: 4*C(5,2)/C(52,2) = 40/1326 = 0.030166
The probability of the board containing the other 3 Royal cards: C(47,2)/C(50,5) = 1081/2,118,760 = 0.000510204
Odds Of Making Royal Flush Texas Holdem
The probability of both events happening for you to win the high hand jackpot: 0.030166*0.000510204 = 0.00001539 = 1 in 64,974.
Flush Poker
The one in 30,000 number tossed around is the chances of getting any Royal Flush with zero, one, or two hole cards:
4*C(47,2)/C(52,7) = 1 in 30,940.