The 1 in 649,740 number is for making a Royal Flush with only five cards. For the 3RFs to be spades, ÷ 4 = 1/368. 00000153907 which is computed as 4 possible royal flush hands divided by 52C5 total cases as you pointed out. 10 ♠ J ♠ Q ♠ K ♠ A ♠. The chances of 3 to a royal on the deal are 1/92. To obtain a 6 card royal flush, you would need a single specific card added to the straight, which has a 1/47 (47 being the number of cards remaining) chance of appearing. If you start off with two of the cards needed as your hole cards, your odds instantly increase to 1:30,940 or a 0. The odds of being dealt a royal flush under the conditions you stipulate are 1 in 649,740. With your example, you just multiply 48,048 X 48,048 and the odds of. Home. Ace high, king high, queen high, and so on. Your odds are best after getting two suited pocket cards usable in the Royal flush. In poker, players form sets of five playing cards, called hands, according to the rules of the game. 1. so the chance of a poker hand to be a royal flush is 649740. Royal flush is the rarest, strongest and most desired combination in poker. A Royal Flush is 1 specific straight flush and there are 4 different ways in can occur, one for each suit. So, ÷1081 for each of the two hands, = 1 in 3,594,493,636. Royal Flush: Hand Description 10, Jack, Queen, King, Ace all in the same suit. P(Royal Flush) = 4 * 47c2 / 52c7 = 1/30940. QUESTION: You’ve said that in Caribbean Stud and in other five-card stud poker games, the chance of getting a royal flush is 1 in 649,740. Calculating the odds of making a hand in Texas Hold’em requires a bit. Hence, the chance of being dealt a Royal Flush is only 4/2,598,960 or 0. The odds for getting a specific royal flush in 5-card poker would be 1 in. Your chances of getting a royal flush are: (1/52) * (1/51) * (1/50) * (1/49) * (1/48) You thus have a 0. P(R|SA) =(51 4)−1, P ( R | S A) = ( 51 4) − 1, because there are only 51 cards left after SA S A. 0032% chance per hand of hitting a royal flush. Also note that you can fold some “royal” cards during the play, because you won’t play each hand until the river. this is for a flush of any suit, 2. A "pai gow" in pai gow poker is a hand with seven singletons, where no straight or flush is possible. So, you should hit a royal flush every 650,000 hands that you play or so. Of those, 40 are straight flushes. 1. Royal Flush plus 2 2’s: 2,000,000-1: 0. These statistics also vary between video poker types and depend on some other factors that we’ll get into below. So, the odds of one specific player flopping a royal flush would be 4-in-2598960, or 1-in-649740. There are 36 possible combinations of straight flush in poker (not including the four combinations of royal flush), which means that there is a 0. Yes. 4%, respectively. This sub is called r/nevertellmetheodds. get more than 20 times the return for a royal flush than for any other five-card hand you might make. The probability of being dealt a straight flush is 0. Very unlikely, but not. which will give us 4,324 ways that the remaining 2 cards can give us a royal flush. We would like to show you a description here but the site won’t allow us. I did not check the probability of getting AKQJ10 of a suite, but I believe it is 4*4*4*4*4/52*51*50*49*48 = 1,081901057093 * 10^ (-4), so the probability is close to 1 in 163 million. It's the rarest and most coveted hand in the game, and it can earn you a hefty payout if you're lucky enough to get it. Full house. You need an Ace, a King, a Queen, a Jack, and a 10. Using the binomial distribution formula, the chances of that happening twice over 10 hands is 1/3076. The chance of two royal draws is 0. That average is spread out over millions and millions of hands played. 0. Three-way (0. All the royal flush cards which make up the hand must be of the same suit. This hand consists of values 10,J,Q,K,A, all of the same suit. However, due to its specific card requirements and the limited number of possible combinations, the odds of obtaining a royal flush are incredibly slim. A straight flush consists of five cards with values in a row, all of the same suit. Quite simply, you still have to work with the idea of 1 in. It features five consecutive cards, all of the same suit, in order of value. . Thus a middle-sized pair occurs slightly less often than a high (Jacks or better) or a low (5’s or lower) pair. 00015% chance of being dealt this. then the player with the highest value pair in their hand wins. Second, the presence of a ten reduces the chances for a high pair. According to Thoughtco, using some not so simple math, there is a 1 in 649,740 chance of being dealt a Royal Flush! Put in another way, you have a 0. Royal Flush Greeting Card. 00001539077169. 39 The odds of this happening exactly twice are: (30,938/30,939) 98 x (1/30,939) 2 x C (100,2) =. So for a given pocket pair 10 or above, the combined probability is 1/221 * 1120/1712304 * 1/1980 = 7/4,682,937,402. With only four possible suits in a standard 52-card deck, the odds of obtaining a royal flush might initially appear manageable. 76%) which can be played two ways, with the same expected value, but different standard deviation. The odds of flopping a royal flush are one in 19,600. The following return table shows the details. There are nearly 2. Not only has Casino. K♠K♣K♦Q♠Q♥, 9♠9♥9♦J♥J♣, 2♠2 ♥ 2♣A♠A ♥, are all examples of full houses. However, those three top hands all pay the same as a 5-card royal flush at 1000. When playing video poker, many players dream of landing a royal flush to get that 4000-coin jackpot. 000154% The odds of making a five-card royal flush out of a 52-card deck are 4/2,598,960. For example, in Jacks or Better, your chances of getting a Royal Flush are 0. Um royal flush é a melhor mão que você pode formar no pôquer e é uma verdadeira raridade no jogo. It means that you will have 0. So the probability of being dealt a Royal flush is 4 in 2,598,960 - or 1 in 649,740. 🔥 The royal flush is undoubtedly one of the most desirable poker hands in a game of poker. In 9-6 Jacks or Better, your royal chances are about 1 in 40,391, while in 9-6 Double Double Bonus Poker they're 1 in 40,799 and in 9-7-5 Double Bonus Poker they're. 000154%. There are four different Royal Flush hands, one for each suit. 00003232 Other straight flush 37,260 0. 20. You are giving up the certain 1-for-1 payoff for a pair of jacks, but you have a chance at a straight flush with either a queen or 7 of diamonds, could draw a flush with any other diamond, or still could finish with a pair of jacks by drawing the jack of either. The suits are all of equal value – no suit is higher than any other suit. Keep this in mind. 48% chance that you’ll tie, or push. Probability questions involving chance of drawing particular poker hands. Assim, o straight flush mais alto consiste em um nove, dez, valete, rainha e rei do mesmo naipe. That means that on average you’ll see a royal flush every 40,391 hands. 000154% in the Pre-Flop round. For more on odds, including the. For example, a King high Flush in any suit beats a Queen high flush in any suit. You’re five times more likely to get struck by lightning than get the same hand twice! What’s the highest suit in poker? There are 52 cards in a deck, divided into four suits of 13 ranks each. It pays back 99. 00139%. From a 52-card deck, you have 1,277 ways to draw a distinct flush (excluding royal flushes and straight flushes). 00139%, or 72,192. 000154%. Only a royal flush outranks the straight flush in terms of 5-card poker hands. 00198. This is 72,192:1 odds against hitting it. This translates to a 0. The odds of this are the same as getting dealt a royal flush in 5 card stud: 20/52 * 4/51 * 3/50 * 2/49 * 1/48 = 1/649740 Case 2: 9 is not on the board. If you have all five community cards on the board, the odds of achieving a straight flush are even smaller than those of hitting a royal flush. 19933230517200. In addition, you can count on a personal bonus from the best online casinos, in the form of free chips. A Royal Flush is the highest-ranked and strongest hand in all variations of poker games. It follows the same pay table as the 6 Card Bonus above. 256% and finally reach the maximum to 4. Take your chances and may the odds of getting a royal flush in video poker be ever in your favour! Find out the probability of getting a royal flush in video. A runner-runner Royal Flush was hit to win a monster three-way pot on Day 4 of the WSOP 2017 Main Event. Odds and probabilities for each hand Over 2. Before somebody mentions it, this assumes that each hand is dealt from a separate deck. 1. To work out the poker probability of flush draws, we shall use the following calculation: 5108/2,598,560. The actual odds of flopping a royal flush are 1 in 649,740. The gameplay of poker involves rounds of betting and card dealing. A royal flush cycle is the mathematically calculated average number of hands it takes to hit a royal flush using perfect strategy. Pair. Play and win on the go from anywhere you get a connection. . see more higher scoring rankings in Texas Hold’em than simple five card poker because the additional cards allow more chances to get these hands. There are 4,234 ways to make a Royal Flush from any seven cards (1,081 ways in each suite; There are five essential cards that must be part of a Royal Flush: Ten, Jack, Queen, King, Ace. Using the aforementioned Jacks or Better game as an example, your odds of being dealt a royal flush right away are 1 in 649,740, or a 0. In Caribbean Stud Poker the optimal strategy player will raise 52. So 40/1326 = about a 3% chance of starting with a hand that could flop a royal flush. 048019 per $1,000 in Minor jackpot; Acknowledgements. 53907E-06 far from the expected 8. Probability of getting a hand that has 5 cards of the same suit (flush, straight flush, royal flush) =5148/2598960~=. That’s quite a bit more than the $55 we. Thus, the odds of villain getting one over 100 hands are 1/309. 6637%: 1:59: One player makes a royal flush at a full ring table: 0. There are 36 straight flushes and 4 royal flushes. Despite the lower threshold for winning, Jacks or Better has a better payback percentage on average. I saw the All 6 side bet at The Point casino in Washington on July 21, 2023. So, she has a 1 in 47 (about 2. Having a made Flush gives you a very good chance at winning the hand, especially if there is. Release date -. Therefore, the odds against drawing a royal flush in 5-card poker are 2,598,956:4 which works out to 649,739:1. Joker Wild – expect to hit a royal flush every 41 214 when you play. 2 million. Remember, 40,000 hands between royal flushes is an average. Of the nearly 2. . ) Odds of flopping the Royal Flush with two suited cards between Ten and Ace = If you drew five random cards from a 52-card deck, you’d have an 0. By showing that the number of ways in which you may be dealt a flush is $(52 * 12 * 11 * 10 * 9)/5! = 4*13!/5!8! ~~5*10^3$, demonstrate that your chance of being dealt a flush is of the order of $frac{1}{500}$. Four suits, but only one combination works and total possible hands in poker is 2,598,960 (52 C 5). Is it really the ultimate hand? Find out now. Royal Flush. Solution Let R R denote the event that the hand is a royal flush and let SA S A be the event that one card is ace of spades. So - the odds of hitting a royal flush would be 4/2,598,960, which would work out to 1/649,740. As a basis of comparison, the probability of a royal flush in conventional video poker ranges from about 1 in 40,000 to 45,000, assuming optimal strategy. The lower right cell shows a house edge of 7. If your flush draw is one card shy of a royal flush or a straight flush, you’d be wise to see your hand through in any poker room. The Royal Flush, also known as an ace-high straight flush has the following chances of being made: To achieve a Royal flush from Ace to 10, you need to start with. 8 percent chance of getting one royal or no royals after playing one cycle of 40,000 hands. 09 percent). Her friends describe her as the funnest person they've ever met. We would like to show you a description here but the site won’t allow us. Texas Holdem uses 7 cards to make the best five card hand. 7-card stud 7 card stud is a classic poker game where the chances of getting a royal flush are 1 in 30,940 hands. Speaking of odds, a few weeks ago a reader asked whether the odds of hitting the progressive were the same on Wheel of Fortune machines with different max bets. 0008%; Having Royal Flush draw without 1 card on the flop, the chances of getting it on the turn: 2%Chances Of Getting A Royal Flush Texas Holdem Tournaments; Getting a royal flush is the hardest hand to obtain when playing poker online or in a casino. So - the odds of hitting a royal flush would be 4/2,598,960, which would work out to 1/649,740. A royal flush usually appears about once in every 40,000 hands when a player uses optimal strategy. 00002476) 3200 = 0. Below are the chances to get Royal Flush in the most common situations. The thrill of hitting a royal flush in poker is undeniable. With only four possible suits in a standard 52-card deck, the odds of obtaining a royal flush might initially appear manageable. You will have to play 40 000 hands before you can have a chance to hit a royal flush. 000154% chance of making poker’s ultimate hand. The royal flush odds you learned from Hold’Em work pretty much the same way in Omaha and Omaha Hi-Lo. Knowing this exception will add 0. P(Royal Flush) = 4 * 47c2 / 52c7 = 1/30940. 1 / 360” means there’s a one in 360 chance of getting that four of a kind. Then, there are 51 cards left, and you need to get one of the other 4 cards that is a royal flush card from your suit (e. 961472. See examples of ROYAL FLUSH used in a sentence. e. Four of a kind. This translates to a 0. Tips on Playing Pai Gow Poker. 030166*0. 000153907% . " There is also a $100 envy bonus if another player gets a hidden royal. 005% on the Turn Round they increase and reach up to 4. 2: Straight Flush:. So 4 in 2,598,960 or 1 in 649,739. This side bet wins if the player had a pai gow, the lower the highest card, the more it pays. A royal flush is a five-card hand comprising the ten, jack, queen, king, and ace of the same suit. This means that villain will get 2 royal flushes in one game every 194,000 stretches of a hundred hands. The total amount of ways you can get a royal flush, ${4choose 1}$, over the total amount of hands, $52 choose 5$, gives you the correct probability as there is an equal chance for each hand to be dealt. . So the probability for player winning with royal flush should be near 4/ 2,598,960 because the coincidence is weak: 1. probability. Expressed in odds form, the odds of being dealt a Royal Flush in Video Poker are 649,739-to-1 among most US online casinos. 4% * 17. The more cards you need to draw, the weaker your chances at a royal. 000154% probability of forming poker’s ultimate hand. Poker Hand Odds for Five-Card Games. What are the odds of drawing 3 cards to a royal flush? THREE CARDS TO THE ROYAL FLUSH You'll be dealt three cards to a royal flush once in every 92 hands, on average, (or about 13 times every two hours), Unlike the 1 in 47 chance above, now the chance of hitting a royal flush, when holding only three cards to the royal, is 1 in 1,081. ALL GAMES UNLOCKED. For example, a game can pay 250x for a Royal Flush when betting one coin, but 4,000x when betting. It can be formed 4 ways (one for each suit), giving it a probability of 0. So the odds of being dealt a royal are exactly the same as being dealt any other straight flush. Therefore, the probability of being dealt a straight flush (P. The chances of hitting a Royal Flush after the flop in community card games of Poker significantly rise, providing a more realistic chance to get this hand. Royal Flush operated as a restaurant and bar while leasing out space to a nonprofit organization, which hosted the poker games (mostly low-stakes such as $1/$3 and $2/$5). In high. Just like ordinary straights, if you only focus on the high card rather than suits, there are 13 possible straight flush hands. Gaming Strategy. royal flush: [noun] a straight flush having an ace as the highest card — see poker illustration. With 2,598,960 five-card hand possibilities, your chances are 940 in 2,598,960, which makes for odds of 1 in 2,764 of being. The chances of converting 3 to a royal, to a royal flush, is 1/1081. However, because of variation you could easily hit a royal flush. 8% chance not getting a royal after one cycle of 40,000 hands, the same 36/8% chance of hitting one royal, 18. But the other player must have the two specific cards to complete the royal flush and the probability of that happening is 1/45 * 1/44 = 1/1980. For comparison, the odds of getting a royal flush are 0. As the name suggests, it is a glider that consists of five playing cards that make up a royal flush, a rare poker hand. Since the values are fixed, we only need to choose the suit, and there are 4 1 = 4 ways to do this. 00015%. We would like to show you a description here but the site won’t allow us. 00015%. 3-to-1 against. 1% chance to hit your flush on the turn. 1. How do you get that? I thought you had to take 52 to the fifth power, which is 380,204,032, to get the number of five-card poker hands. A royal flush is the highest possible hand in poker. We must make sure not to double count these hands. If you start off with two of the cards needed as your hole cards, your odds instantly increase to 1:30,940 or a 0. The Royal Flush is a five card hand having all in the same suit with these card values: an Ace a King a Queen a Jack, and a 10 The number of Royal Flushes is exactly four, since there are one in each suit in a standard deck. 000001540898529 I have changed the value of the. Yet there's a chance they could have followed it out to a straight flush. Except the sub is named for a quote from a movie in which "Never tell me the odds" is said after having been told the odds. Typically, your odds of hitting a five-card royal flush is 1 in 649 740, but the chances of a four-card flush are once in every 2777 hands. 000510204. The royal flush is the best hand available in poker. Straight Flush. USA Casino Expert is an independent community of Chance Of Getting A Royal Flush In Texas Holdem gambling industry professionals founded in 2017. 1. 1 / 649,739. 00139% chance you will hit a straight flush. Each hand has a rank, which is compared against the ranks of other hands participating in the showdown to decide who wins the pot. 1 - [Chance of Getting No Redraw Royal Flush in 100 Hands] - [Chance of Getting 1 Redraw Royal Flush in 100 Hands] For 1 or more, must apply Binomial Distribution For. If. 53908E-06 - 3. The game is played with a. The best possible hand in Texas hold'em is the combination of ten, jack, queen, king, ace, all of the same suit. 13% chance assuming one deck in play), a Flush if you get any other heart (a 17. 96 is 2. Joined Feb 18, 2020 Total posts 2,805 Awards 4 Chips 278 Sep 25, 2020 #1The chances that the three cards you need are going to land on the table is 5/50 * 4/49 * 3/48. The Royal Flush is a five card hand having all in the same suit with these card values: an Ace a King a Queen a Jack, and a 10 The number of Royal Flushes is exactly four, since there are. Then the flop has to come perfect, you need to hit the unique three card combination that matches up with your starting hand to make a royal flush. How does the probability change if the question asked the probability of drawing a Royal Flush of ANY suit? 2) If you were to flip a coin 3 times; a) What's the percent probability of getting all Heads?. The odds of a royal flush defeating a full house are too small to even consider measuring. You’re five times more likely to get struck by lightning than get the same hand twice!The royal flush is the highest poker hand. 00027851. That is the average number of hands you will have to go through to hit a royal flush. 50 for the third. Gameplay. Knowing this exception will add 0. 00015%. 19. The best possible hand in Texas hold'em is the combination of ten, jack, queen, king, ace, all of the same suit. In this game, the chances of getting the royal flush are 1 in 19,600. The probability of getting a Royal Flush is 0. For a flush, there are 12 options for card 2, 11 options for card 3, 10 options for card 4 and 9 options for card 5 = 11880. Flush. 000154% chance to make one. Clearly, P(R) = 4 (525). The odds of being dealt the Straight Flush on the flop is only the tip of the iceberg. When playing video poker, many players dream of landing a royal flush to get that 4000-coin jackpot. Oct 28,2021. if it was 0. Odds of a royal flush are 1/30,939. The Probability of a Royal Flush (percentage) constant defines the probability of being dealt a Royal Flush and represent the probability as a fractional percentage. Fortune, lucky chance in gambling collection royal flush stock illustrationsIn this amazing video, we've got another chance at a Royal Flush - don't miss it!Heads Up Hold'em is a classic casino game that's always a lot of fun - and t. How about 6 players combined, assuming no one would ever fold two suited broadway cards? texas-hold-em. These generally pay about 4,000 coins for a five-coin bet or 800-for-1. Probability of a flush = Possible flushes :. This is how Texas Hold’em odds are calculated. However, if you are playing Texas hold ’em, you have a 1 in 30,940 chances of drawing a royal flush. That way, you'll already be seated in a top online casino when you're ready to up the ante. The reason a royal flush is the highest ranking hand is because it is the least likely hand in poker to actually hit. The probability of getting one. With only four total ways to make a royal flush, this hand represents the rarest possible made hand in poker. Odds of a royal flush are 1/30,939. 5%. This means that villain will get 2 royal flushes in one game every 194,000 stretches of a hundred hands. All 5 cards are from the same suit and they form a straight (they may also be a royal flush). In fact, your odds of getting other 3 royal flush cards are 1 in 16,200. Realistically you would not have posted here for a single royal flush. After the first two cards are dealt, the chances of collecting Royal Flush do not exceed 0. There a progressive jackpot is paid for a royal flush. 7922%: 1:1 They are exactly the same, but a royal flush is a specific type of straight flush. Straight flush. Those odds are 20/52 * 4/51 or about 3%. (1a) What is the probability of being dealt a full house (3 cards of one suit and 2 of another)? (1b) What is the chance of being dealt a royal flush? (1c) What is the chance of being dealt a straight flush, not including royal flush? (1d) What is the chance of. 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. Understanding the royal flush cycle By Henry Tamburin I received the following email me from a reader that I decided to make the topic of my column this month. Flush draw probabilities. That means that if you play poker for eight hours a day, you. 00015% chance of getting the Royal Hand. The board shows a royal flush: 0. As a result, there are 940 ways of being dealt four cards of a royal. 7%. Probability of getting a Straight. 000515486% or approximately 1 in 194,000. 53% chance). 02% chance of making a straight flush on the flop. How to mathematically determine the chance of getting a ROYAL FLUSH in 5 card poker. You can look up how to work out the odds in detail for a royal flush, I'll just give you a really quick breakdown, but they basically work out as 1 : 649,739 or 0. However, because there are few variations of video poker, how long it takes will differ slightly. 9. The newest development to the Waco water slide "The Royal Flush" fails:. 28. 00323% in Texas Holdem. The Probability of a Royal Flush (fraction) constant defines the probability of drawing a Royal Flush and represent the probability as a fraction. After that, the other four cards are completely determined. Joker Wild Royal Flush Cycle In 20/7/5 Joker Wild with a 4,000 royal flush, you can. For a given starting hand, there are 50c3 = 19,600 possible flops, and only 1 of those flops gives you. 00323% probability of hitting the other three cards and completing a royal flush by the river. 40794E-07. royal flush (plural royal flushes) ( poker) Ace -high straight flush; a hand consisting of the cards A, K, Q, J, 10, of the same suit. My video poker appendix 6 shows the probability of getting at least one royal per hand in 50-play 9/6 Jacks or Better is 0. For more on odds, including the. Realistically you would not have posted here for a single royal flush. This probability is approximately 1/509. Scientific Games, for providing me with their math report by Elliot Frome. I'm looking to write probability of a flush (suppose it contains royal flush, straight flush, etc. Yes. Odds of not catching the gunshot Royal Flush on the river =45/46 or roughly 95. 000154%, a straight 0. Translated into percentages, there is a 0. In fact, let's take a look at your exact chances of hitting a royal on any single hand. Chance Of Royal Flush In Texas Holdem, Casino Lille, Mongoose Casino 30 Bonus Spins, Beating Gambling Problem, Trainer Do Poker Night 2, Slotastic Casino 100 No Deposit Bonus June 8, Online Gambling Legal In Europe00:00 - What are the odds of getting a royal flush in 3 card poker?00:44 - What happens if there are two royal flushes?Laura S. So you would have played 3,200 initial hands. Similarly, your chances go down when you have only 2 cards that are part of a royal flush. But, four of the five cards to a Royal Flush is still a strong hand to bet on, since you can still hit a straight or a flush, or even a straight flush to the King. A royal flush consists of the Ace, King, Queen, Jack, and Ten, all of the same suit. Total Hands = 2,598,960 Build Probability Possible Royal Flushes = Possible ways to get 10,J,Q,K,A all suited Possible Royal Flushes = 1 way * 4 possible suits (Spade,Heart,Diamond,Club) = 4Only one of those hands will result in a royal flush; therefore, the chance of hitting a royal when you hold three cards to the royal is 1 in 1,081 (0. 0. But what are the actual odds of. What are the odds of a royal flush on the table? The chances of getting a specific royal flush are 1 in 2,598,960 hands. The royal flush is the strongest hand you can get in poker. = at least 18432. Making a Royal Flush in Omaha and Omaha Hi-Lo. 5. The steel wheel has the same likelyhood because it has equally as. There are separate line items for a six-card royal flush and six-card royal flush in diamonds. For heads up game, the probability of AAAA vs. 1. This probability can also be expressed as 649,739-to-1 odds against drawing a royal flush. The. Here are a few more fun poker probabilities: Chances of getting four Aces in 5-Card Draw: 1 in 54,145 hands on average. As a matter of fact, winning small. 000510204 = 0. 0002%: 1:649,739: The board allows for a royal flush: 1. We would like to show you a description here but the site won’t allow us. Caesars Slots Playtika Rewards is the ultimate loyalty program that continuously rewards you for playing! Playtika Rewards is free to join, and your. 02401% (4,164-to-1) For hands that have four ways to flop a straight flush (suited connectors 54 through JT), you have an 0. Im not really sure where they pulled $1. Share. They are exactly the same, but a royal flush is a specific type of straight flush. You can look up how to work out the odds in detail for a royal flush, I'll just give you a really quick breakdown, but they basically work out as 1 : 649,739 or 0. A Royal flush is the best poker hand possible. So for pocket aces the chance is about 1 in 669 million. This means that there are 5148 – 40 = 5108 flushes that are not of a higher rank.