What Are The Odds Of Hands In Poker

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

In poker, the probability of each type of 5-card hand can be computed by calculating the proportion of hands of that type among all possible hands. Frequency of 5-card poker hands The following enumerates the (absolute) frequency of each hand, given all combinations of 5 cards randomly drawn from a full deck of 52 without replacement. Using our poker odds calculator engine, we first calculated the 'fixed-preflop, post-river' winning probability of all 169 types of starting hands. Then, we ranked and ordered the starting hands from the best to worst in the table and chart below. Essentially, we use the winning chance as a measure of hand. The Final Poker Hand of Casino Royale. 15th April 2009 by Moneypenny. Math and odds are important parts of Texas Hold’em poker. James Bond knows this (of course). In the final hand of Casino Royale, four players move all-in on the river and Bond scoops the $115 million pot, thanks to smart play. These were the cards on the board: Ah-8s-6s-4s-As. For more information on poker odds and winning at poker, try the following links: To see all of our articles on poker rules and advice, go to our main article on How To Play Poker. For an introduction to the game, skim over these Poker Basics. So you think you've got the best hand. Maximize your winnings with these Poker Betting Tips. The chances of getting a top starting hand (of double aces, picture pairs or A-K.

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.

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.

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.

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.

Poker Hand Odds Calculator Preflop

Based on the tabulated data and chart generated, there are a few interesting observations to be made. The are listed below:

1. Pair A is best hand

There should be no surprise that Pair A is the best hand. Having a pair A, helps you to easily get the best possible double pair combo or three-of-kind combo. While it might be harder to strike straight or flush with it, those scenarios are typically less likely to happen. Thus, making pair A better in general.

2. Offsuit 72 is the worst hand

What Are The Odds Of Hands In Poker Chart

This might be less known to people and it could be counter intuitive. Some might have thought that perhaps Offsuit J2 would be worse than Offsuit 72. But, that is not the case.

To understand why this is the case, we can start thinking about what are combinations that are most likely to lead to a winning combo assuming no one folds. Given any hands, we are more likely to win with double pair, followed by 3-of-a-kind, straight flush and so forth.

With offsuit 72, we are more likely to win double pair of pair 7 and pair 2, followed by three-of-a-kind and so on. However, it is also worthwhile to note that it is highly like other players has a better double pair or three-of-a-kind. This bring us to the next important lesson to learn.

3. Having a suited, closely connected hand with A, K or Q is better than having pairs that is less than 9

If you were to investigate the table or chart, the hand ranked 5th is Suited AK. What is even more interesting is pairs hand only took 6 spots from rank 1 to rank 20. Most of the remaining spots were taken up by suited, closely connected hands with a high card like A, K or Q.

The reason for this is similar to previous point that we made. It is more frequent that players will win using double pairs or 3-of-a-kind. Therefore, having a higher card helps to push you to a better standing to win.

One final note on this topic - Pair 9 is the last pair hand ranked in the top 20 hands. Playing any other pairs hand may not be as good as conventional wisdom might suggest.

4. Winning chance drops fast within the top 7 ranked hands

This is the lesson that really took us by surprised. While developing our poker odds calculator, we did had a sense that odds of winning was somewhat asymmetric. But, the chart above really solidify how much the asymmetry was.

Within the top 7 ranked hands, the probability of winning drops really fast from paired A to paired K and so forth. If you get the top 7 hands, you really should work hard to get through the preflop.

5. You are more likely to win a 6 players match than a 9 players one

A player with hands that are in the top 7 ranks in a 6 players game have a much better chance of winning in a 9 players game. For example, Paired A has roughly 49.5% preflop winning probability in a 6-player game compared to only 35% in a 9-players game. While 14.5% difference is not as big as it sounds, it has a significant impact on the pot odds that you will need to make a value play. In short, it might be easier to make money off a 6 players game rather than a 9 players game.

Poker Hands Odds Table

6. In a no-folding six players match, your hand range to play is very large

This point is not as crucial as other points we have made. But, we find this observation quite interesting although it is unlikely to happen in real life.

Suppose that we are in a no-folding 6 players Texas Hold'Em match. During every betting session, our pot odds is 5-to-1. This means that for every $1 we bet, we stand to win $5.

Based on this pot odds, our break-even pot equity or winning odds is around 16.67%. Using the chart above, we can see that we can play any hands better than rank 106. This means that players can play 105 types of hands out of 169 types (59.2% of all types) and still perform better than break even! Basically, you have a very large hand range to play in this type of situation.

Nonetheless, this is a just-for-fun analysis, which does not happen that often in real life. Based on some of our experience playing, it could happen sometimes during preflop though.

7. Our hand rankings are similar to Sklansky hand groups

Sklansky hand groups was formulated by David Sklansky and Mason Malmuth. Both of these old school poker players understand the math very well. It is no surprise that our hand rankings aligns very well with their proposed hand groups.

Sklansky hand group proposes that Tier 1 group consists of pair A, pair K, pair Q, pair J and suited AK. These cards are essentially ranked 1 to 5 via our Monte Carlo simulation. The same observation can be made for Sklansky Tier 2 and Tier 3 hand group.