Straight flush (excluding Royal flush) 36 in 2,598,960: 0. It doesn’t matter what happened on the previous hand, the previous. The return table below is based on a $5 bet, which equates to. 3617) Dealt full house (9. Although if a pair of 4's are dealt to you, the odds of making a royal flush after the flop is significantly lower :) If you're dealt two suited cards between 10 and A, then the odds improve to 1-in-19,600. 00196 To find the probability, we need to find the fraction where the numerator is the number of ways to have a flush and. Statistics and Probability; Statistics and Probability questions and answers; Five cards are selected from a 52-card deck for a poker hand. 2 million. 0. Best of luck in and out of the casinos, John. royal flush is P (A)*P (B)*P (C) = 1. 000510204. The Royal Flush is a five card hand having all in the same suit with the following 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. There are nearly 2. You should never play video poker with the idea that you are going to hit a royal flush. There are 13 pairs in Hold’em (22 – AA) and for each there are 6 ways to be dealt. g. Here are the (interesting) rules for scoring a set of cards in Cribbage. James King on 06/12/2023 Discover the precise analysis of the odds of achieving a Royal Flush in Texas Hold'em poker. e. Royal flush: 1000 to 1; Straight flush: 200 to 1; Four of a kind: 50 to 1; Full house: 25 to 1; Flush: 15 to 1; Straight: 10 to 1; Three of a kind: 5 to 1; These poker hand rankings are more traditional with a royal flush being the best possible hand, and the flush payout is valued higher than the straight. 39 x 10^-7 or close to 1 in 4. Flush. The house edge at all other times is 11. Royal Flush (five credit bet) 800. Hit a Royal Flush to win the growing Jackpot; The Jackpot starts at $10,000 and increases until someone wins!. Three to a straight flush, with two gaps, and one deuce. Pair. What are the odds of winning 3-card poker? As with any casino game, the odds in 3-card poker slightly favor the house. A royal flush can also be formed from three jacks, tens, or queens. Now that you have an idea of how to form a royal flush, let’s take a look at the probability of forming this combination depending on the poker table. Alex Hemstry in 1994, at the table of one of the casinos in Las Vegas, 2 times in a row collected a royal flash. It has to do with the statement of the probability of the royal flush. 005% on the Turn Round they increase and reach up to 4. The royal flush is the strongest hand you can get in poker. Casino officials say it’s the. For instance, the odds of pulling off a Royal Flush with only five cards is a minuscule 0. 5%. These statistics also vary between video poker types and depend on some other factors that we’ll get into below. The odds of hitting a royal flush is roughly 1-in-40,000 hands. 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. This probability can also be expressed as 649,739-to-1 odds against drawing a royal flush. Bottom line: In stud poker, the probability of an ordinary flush is 0. 348% in the River Round. That's equivalent to throwing a quarter and having land on heads about 50 times in a row. Royal Flush (one to four credit bet) 250. It is not as rare as Omaha, with the chances of obtaining a royal flush being just 0. well, im not an expert in probability or statistics but if the odds of getting a royal flush in a 7-cards game like Texas holdem (where you make the best 5-card hand. Our best advice is to follow a strategy and play. With all poker hands, we use the highest-ranking card to determine which wins. The royal flush is the best hand available in poker. Royal straight flush 4,324 0. g. After the player makes a bet, the dealer will deal the player and himself seven cards each. And. 1 / 423. Yeah, that’s how rare an occurrence is when we think of a player hitting a royal flush. That’s a little better than your chances of drawing a five-card random straight flush, but the odds against making a straight flush in Texas Hold’em are still 3,589. Here's what to look for: on the chart to the right, the numbers in the first column represent the payout rates for Full Houses and Flushes at one unit bet. 00000000025. The answer to this question is not as straightforward as you might think. Because players going all-in for a flush draw after the flop usually have near the nuts, this 3. 1-2-3-4-5 through 9-10-11-12-13, the computation, ignoring various rules of poker, would just be. In summary, the conversation discusses the statistical chances. I saw the All 6 side bet at The Point casino in Washington on July 21, 2023. Let’s compare that to the odds of making other hands in the poker hand rankings: Royal Flush – 0. The probability that the royal flush will be collected twice in a row is about the. 000,015,39 (40/2,598,960) Use the table below to calculate the probabilities of all poker. 3%. A viewer sent me this question: "what are the odds of getting two royal flushes in one day?" I couldn't answer it. Unlike normal poker, a 3, 4 or 5 card straight/flush/straight flush can be played. 539⋅10−6 or 1 in 649,740 b)A straight-flush (excluding royal flush) is all cards the same suit andProbability of getting a Straight. 1. There are many different odds and combinations that you can make with a royal. some casinos will pay less than 4,000 coins for a royal flush. See below: When working with the probability of poker hands, we need to know the number of ways a hand can be dealt (this is the denominator) and the numerator is the number of ways to have a certain hand. Odds of Drawing to a Royal Flush in Video Poker You are more likely to get a Royal Flush than a King-High Straight Flush!. 00197 Straight 10,200 0. A K Q 5 7 3 to a Royal Flush (except TJA/TQA/TKA) or 4 to a Flush: Keep the 3 to a royal flush A K T 5 7 3 to a Royal Flush (suited TJA/TQA/TKA) or 4 to a Flush: Keep the 4 to a flush K Q J T 8 3 to a Royal Flush or 4 to an outside straight with 1+ high cards: Keep the 3 to a royal flushBelow we have listed the likeliness of hitting a royal flush and the different video poker variations using a good strategy. An Ace high straight-flush is called a Royal Flush and is the highest natural hand. 0. Of those, 40 are straight flushes. What is the probability of being dealt a royal flush? A royal flush (which is what you would want to be dealt!) is a ten, jack, queen, king and ace, all of the same suit. Three-way (0. There are 9 unknown cards left that could complete your flush so you have 9 outs out of 47 total unknown cards (52 cards in the deck – your 2 cards and – 3 more on the flop). If a royal flush pays in both directions (10-J-Q-K-A and A-K-Q-J-10) it is known as a reversible royal. 005%) have even less of a chance of coming through on the flop. The order of the deal does not matter. During my first (around) 1000 hands I got 2 royal flushes and 2 straight flushes which then led me to believe they were pretty common. Say a hand has "Property i i " if it includes a royal flush of suit i i, for i = 1. The probability that one hand is a royal flush is 0. Rounded to the nearest tenth of a percent, 9/47 = 19. It got me thinking after the game: with 4 hole cards to each player: what are the approximate odds of getting a Royal Flush in Omaha? Reply. What is the probability of drawing a royal flush in 5 cards a royal flush is the 10 J Q K and ace of the same suit )? The highest ranking poker hand is a Royal Flush – a sequence of cards of the same suit starting with 10, e. Bottom line: In stud poker, the probability of an ordinary flush is 0. Could someone point to a resource or do it by themselves where they explain the odds of hitting either a flush draw or a straight draw or both. 005 percent or 1 in 19,600 to two appropriate broadways. 03%, or about 32 to 1 odds. You can assume that all hands are valid (no invalid characters or repeated cards), each player's. So 32 different seven-card straight flushes are possible. 00001539077169. P(R|SA) =(51 4)−1, P ( R | S A) = ( 51 4) − 1, because there are only 51 cards left after SA S A. The probability of being dealt various poker hands has been printed in many other sources. This article originally appeared on CarBuzz: Red Bull. Today's NY Times Crossword, featured prominently on. H (n) = C (X, n) * C (Y – X, Z – n) / C (Y, Z) Where, X is the no. 00001794%. 000022: 45,836. The odds of being dealt the Royal Flush on the flop is only the tip of the iceberg. 19933230517200. I have an unconfirmed report that the following pay table is offered in Washington State. The probability of getting a four of a kind is . 00393 Three-of-a-Kind 54,912 0. It can be formed in 4 ways (one for each suit) So, The total number of outcomes for a player to draw a “Royal Flush” from a deck of poker cards =. This probability can also be expressed as. The odds against drawing a royal flush are 649,739-to-1. The following pay table can be found at Internet casinos using Gtech software. Here's a tricky one: You should hold the three-card royal; drop the king and 4. Seeing two suited broadway. Today's puzzle is listed on our homepage along with all the possible crossword clue solutions. Below is a table that explains the odds of getting a specific hand when holding four, three, two. . The following table shows the return of the fixed wins only, not counting the envy bonus. This page shows the probability and return from all 974 possible outcomes. The number of such hands is 4*10, and the probability is 0. and the 6 of clubs (lowering the odds of forming a flush). Therefore, the chance of hitting the royal flush when you hold a four-card royal flush and draw one card, is 1 in 47. A STRAIGHT FLUSH All 5 cards are from the same suit and they form a straight (they may also be a royal flush). 00000732: 7 card Straight Flush: 800,000-1: 0. is the probability of any type of flush, P is the probability of a straight flush, and P is the probability of an ordinary flush. The board shows a royal flush: 0. The minimum bet is $5. 38815913) 3 to a straight flush, spread 5 and suited 346,356 2,3,4 (0. For a traditional video poker game (9-6 Jacks or Better), you’ve got a 1 in 40,391 chance of hitting a royal. The poker odds calculator will determine the odds that you win, tie, or lose a given Texas hold 'em round, given what cards are dealt to you and what cards are on the table. Here is the information the is needed The probability of a Straight Flush occurring is 0. For the 3RFs to be spades, ÷ 4 = 1/368. 015%), two-way (0. Click for odds & Payouts. You have your odds wrong, 649 740 is the odds of getting a royal flush on the flop (or being dealt a royal flush in 5 card stud). You can pick either player and then permute them to get the same result. I can only speculate that game makers wanted a. Odds of a Royal Flush with All 7 Cards in Texas Hold’em. 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) = 4 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. In a standard 5-card poker game, the odds of being dealt a Royal Flush are exactly 1 in 649,740. There are separate line items for a six-card royal flush and six-card royal flush in diamonds. The one in 30,000 number tossed. Every poker player strives to be. 4 ( 9 5) ( 52 5) = 3 15, 470. As usual, if a situation isn't listed, don't play it. 4%) = 3. 000204: 0. Smaller pays are $60 for a player only royal match, and $10 for a player straight flush, which I assume means the player's first two cards are suited. 000154% chance of making poker's ultimate hand. However, a straight may not 'wraparound'. Likewise, a two card Royal Flush with no Ace or ten may initially seem less valuable than some of the hands listed beneath it. View the full answer. txt, contains one-thousand random hands dealt to two players. So the probability of being dealt a Royal flush is 4 in 2,598,960 - or 1 in 649,740. In a third version there is a separate pay for a suited blackjack as follows. as a royal flush. 0. Royal hole card draw chance = 8% (higher than I thought it would be) Now need exactly one board to make the royal on the flop combin(48,3) = 17,296 Flop a royal = 0. If you drew five random cards from a 52-card deck, you’d have an 0. Themuckster. There a progressive jackpot is paid for a royal flush. So for a given pocket pair 10 or above, the combined probability is 1/221 * 1120/1712304 * 1/1980 = 7/4,682,937,402. So, the odds of one specific player flopping a royal flush would be 4-in-2598960, or 1-in-649740. GET ₹3000 BONUS, Use Code: NEW400. The chances of a royal flush and quad aces in the same hand: 1 in 2,700,000,000. 00015% of being dealt this hand. It is generated when we hold the same suit all in T, J, Q, K, and A. For comparing one game against another I prefer to use the element of risk, which is the expected loss to the average wager, which in this case would be 5. That's an expected value of 16. Assuming independence of the hands, the probability of no royal flush in n n hands is: (649739 649740)n ( 649739 649740) n. Quad aces + royal flush. A Royal Flush is 1 specific straight flush and there are 4 different ways in can occur, one for each suit. Thus, there are 4 possible royal flushes: # royal flushes = 4C1 = 4 Dividing by the number of possible hands gives the probability: € P(royal flush)= 4 2,598,960 =1. 00016953 Other straight flush 184,832 0. 000022: 0. If you play perfectly your odds of hitting a royal flush are roughly 1 in 40,000. 7184%: 1:36: Witnessing a royal flush over 2500 hands at a full ring table: 49. Interesting, the board will only allow for a Royal Flush 1 in 59 times – and the odds of just ONE player making a royal flush at a full 9-person ring game is 1:3,628. 000154%. It features five consecutive cards, all of the same suit, in order of value. net. 00006272. For example, here are a couple hands you shouldn't play because they are not listed. 000031:. Learn everything there is to know with this quick guide ♣♥. A♣K♣Q♣8♣2♣. So while this combination is extremely rare, it is still possible to hit it by getting very lucky. What is the probability of drawing a royal flush in 5 cards? The odds of making a five-card royal flush out of a 52-card deck are 4/2,598,960. This problem has been solved! You'll get a detailed solution from a subject matter expert that helps you learn core concepts. 040741: Wild royal flushThe probability of a royal match is 4×n 2 /combin(52×n,2). The odds of hitting a sequential, left to right, royal is 1-in-120 Royals. However, because of variation you could easily hit a royal flush. 199910% chance to get a royal flush Option 2 : i know the chance of a flush and a straight, and multiply them to come up with the chance for bother events to occure. See odds to help you win at Pai Gow Poker at the best gambling websites on the internet. Winning Poker Hand Instant Prize ALL IN Prize* Odds; Royal Flush: $10,000: 100% of growing jackpot: 1: 649,740: Straight Flush:Since there are multiple ways of winning the 21+3 side bet, the odds and payouts vary. (36 straight . 00002 Four-of-a-Kind 624 0. 0000015391 1 in 649,740 suit 4,1 pick C One Royal Flush for each suit Many tables in Las Vegas offer a $1 progressive side bet. of Hands Probability-----5 Aces 1 0. The probability of a four of a kind in seven cards is 0. Because players going all-in for a flush draw after the flop usually have near the nuts, this 3. The odds of landing a royal flush in poker are the lowest. Three suited cards in a row except 2-3-4, and ace-2-3. The odds of getting the highest possible payout here are nearly as slim as getting a royal flush since it requires pocket aces from both you and the dealers. Royal Flush. This hand consists of values 10,J,Q,K,A, all of the same suit. Hand Payoff Combinations Probability Return; Natural royal flush: 800: 440202756: 0. This is a $5 "red light" progressive side bet that pays $1,000,000 for a royal flush in spades, using the player's five-card hand. " There is also a $100 envy bonus if another player gets a hidden royal. The odds of being dealt any sequential royal are 8 out of 311,875,200 or 1 out of 38,984,400. This sub is called r/nevertellmetheodds. Both cars are fast and impressive, but the Ferrari. 000000. Question: 4. 00000154. If x is the probability of a four of a kind and y is the probability of a straight flush then the probability you ask for is combin(50,2)*48*x 2 *y*(1-x-y) 47. Royal Flush - Ace, King, Queen, Jack, 10 all of the same suit Odds Royal Flush( ) ≈ ( ) 52,5 P Royal Flush C = ( ) 2,598,960 P Royal Flush = 4 ≈ 0. four cards are completely determined. The probability of getting a Royal Flush is 0. 55% to the return of the game. It does this by featuring a flexible payoff for the royal flush, which is the highest-paying hand in the game. 144% Flush 5,108 0. A royal flush is the highest-ranking Poker hand and consists of a sequence of a 10, Jack, Queen, King, and Ace, all of which with the same suit. 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. 4 Royal {Flushes}) = (617,760 / 120) - 40 Possible flushes = 5,148 - 40 Possible flushes = 5108. 4% * 17. REUTERS/Las Vegas Sun/Steve Marcus In a 52-card deck, the odds of being dealt a royal flush, the highest-winning hand in poker, in your first round of cards is 1 in 649,740. 1 Answer. You have. Probability Of Royal Flush In Texas Holdem. With this pay table, assuming no strategy deviation for the jackpot, the breakeven point is 2,822 full bets, or 14,111 coins. Perfect Strategy Analysis; Hand Payoff Combinations Probability Hit Frequency Variance Return; Natural Royal Flush: 800: 434,878,920: 0. A K Q 5 7 3 to a Royal Flush (except TJA/TQA/TKA) or 4 to a Flush: Keep the 3 to a royal flush A K T 5 7 3 to a Royal Flush (suited TJA/TQA/TKA) or 4 to a Flush: Keep the 4 to a flush K Q J T 8 3 to a Royal Flush or 4 to an outside straight with 1+ high cards: Keep the 3 to a royal flushThe royal flush pays off at 800 to 1. I assume the odds of 2 royal flushes on the same hand are pretty high. This calculation yields the odds of approximately 1 in 649,740. There are 6 different ways to form a. The game is an optional feature to 3-play, 5-play, and 10-play video poker. But notice I said "average," meaning you could hit more than one royal or even no royals. The odds of getting any royal flush in 5-card poker are 1 in 649,740. 23% of the time, for an average total wager of 2. Royal Flush: The unbeatable hand – the hand all players dream of getting – a Royal Flush is the best possible hand in Texas Hold ‘Em poker, and cannot be beaten. The probability of getting zero royals in 3200 hands is (1-0. The odds are so tough to beat that buying. If the player declines the Ultimate X option, the game will play like conventional multi-play video poker. 8824% or 1 : 16. Therefore I believe the odds of flopping a royal flush is: $frac{5!}{13cdot 51cdot 50cdot 49cdot 48}$ I would think that this probability would be independent of how many players are in the game. 0032% in Texas Hold’em, with the odds against making a royal flush at 30,939-to-1. For example, when a single die is rolled, each outcome has the same probability of occurring. What is the probability of the second player receiving a royal flush? c. These statistics also vary between video poker types and depend on some other factors that we’ll get into below. Getting a royal straight flush post-flop increases the. Same with a Royal, or if the board is quads with an ace. The probability of being dealt a royal straight flush(ace, king, queen, jack, and ten of same suit is about $$1. Your chance of being dealt a five-card royal flush on the initial deal is a minuscule 0. = 0. A straight is five consecutive cards (but not a royal flush or straight flush), where an ace may again count as either high or low. Search Clue:Probability of a Royal Flush Hand in 5-Card Poker: = (Number of Royal Flush Hands) / (Total 5-card combinations) = (4) / C(52, 5) This probability is extremely low and is approximately 0. The odds of coincidental dealer royal is 1 in 332,220,508,620 (The product of the two prior values) and the probability of this happening (for a push hand) is 3. The chances of getting the Royal Flush on the Flop Round are 0. The royal flush is a case of the straight flush. The probability of hitting a royal flush in Texas Hold’em is 0. The short answer to this question is that your odds of hitting a royal flush in a video poker game is roughly 1 in 649,740. This equates to 118-to-1 odds against making a flush on the flop. 93: 0. 001980792317 - 0. Though, you may also think that it wouldn’t be too hard should you be spending a couple of hours on a session trying to achieve it. Royal flush: The strongest five cards in sequential order and of the same suit. 6637%: 1:59: One player makes a royal flush at a full ring table: 0. 6 So the event that you will have pocket aces that will turn to quads and lose will happen 1 in (221 122. Sometimes Vegas casinos have a promotion in which the second royal hit in a 24-hour period pays double. Therefore, the odds against drawing a royal flush in 5-card poker are 2,598,956:4 which works out to 649,739:1. In essence, the chance of being dealt a Royal Flush in a standard 5-card poker game is infrequent, making it one. The fifth card is called the side card. For more on odds, including the. The following table shows the number of combinations for 2 to 10 cards from a single 52-card deck, with no wild cards. 199910% chance to get a royal flush Option 2 : i know the chance of a flush and a straight, and multiply them to come up with the chance for bother events to occure. If the cards are dealt one at a time to each player in turn, what is the probability of the first player receiving a royal flush? I know that the probability of a royal flush is $dfrac{1}{649740}$, because of ${_{52}}C_5=2598960$, and $dfrac{4}{2598960} = dfrac{1. 906%. Probability of a flush = Possible flushes :I want to calculate the chance of a straight flush. 9. Four of a kind: Four cards. Making a royal for 800 units is worth much more. Since the values. For comparison, the odds of getting a royal flush are 0. Flush. 5d6d7d8d9d. Yes. I believe i have 2 ways to calculate this Option 1 : i do the math like above , and end up with a 0. If you did want to include the remaining three cards in the numerator, you would also need the denominator to include selecting which 2 among all 5 cards would be the first. The payout is 4,000 coins, which is the equivalent of $1,000 on a quarter machine. One person making Royal Flush in Texas Hold'em with 5 community cards is 1 in 30,940. The probability of being dealt a pair in Texas Hold’em is 5. But in the most common variations, the odds are known and players can use them in order to pick the best game or to make informed decisions. 0. For heads up game, the probability of AAAA vs. The only thing unspecified is the suit. If you draw five cards randomly from a 52-card deck, the probability of making a royal flush is 0. b) A straight-flush (excluding royal flush) is all cards the same suit and showing consecutive numbers (but not the highest 5 consecutive numbers). To figure the odds for this event simply add 4 and 1 together, which makes 5. The odds of being dealt a Royal Flush on the flop in a random 5-card hand are 1 in 649,740. . 0019654. The odds of being dealt the Straight Flush on the flop is only the tip of the iceberg. Each line of the file contains ten cards (separated by a single space): the first five are Player 1's cards and the last five are Player 2's cards. See Answer. Your chances of a royal flush on the deal are 1 in 649,740. Royal flushes are unbeatable and extremely rare. 4 to an inside straight with 3-4 high cards: Go for the straight flush; 2 T J Q A — 2 to a royal flush (both high) vs. The probability of being dealt a royal is 4 divided by 2,598,960 or 0. 33% chance of completing the flush on the turn and seeing another flush card on the river. Video Poker Games by Best Odds; Best Casinos for Joker Poker; Aces and Eights for Real Money; Best Casinos for Jacks or Better; Best Sites for Double Double Bonus Poker; Close;. 000154% of the time, or once every 650,000 hands (odds against of 649,740:1 to be precise). my question doesn't have to do with solving the question. It's about 1 in 40,000 hands in holdem, and 1 in 30,000 hands in Omaha. 6) = 227. → . 0213 or Odds of catching the gutshot Royal Flush on the river 1/46 = 0. 0020 f) Royal Flush There are only 4. The latest puzzle is: NYT 11/09/23. To put it in perspective, there are 604,800 seconds in a full week. 0. If a cycle is 40,000 hands, that is the long run average of how many hands it will take to hit a royal. A straight flush occurs when you have any five consecutive cards within the same suit. Your odds of a royal flush are 0. 000154%. a Royal Flush Probability of getting a Royal Flush; 1: 4: 1 / 649,739: 0. The dealer flipped over his cards and he also had a royal flush with the royal match. If your starting hand is suited, such as two spades or two diamonds, the probability of getting a flush on the flop is 0. 00015 percent (or 1 chance in 649,740). 4- heart 3- heart 2- heart a is a straight flush, but its top card is the five, not the ace. Drawing to a Royal. the only way you could possibly make a royal flush is if your hand becomes: T♥ J♥ Q♥ K♥ A♥; I'm having a difficult time in figuring the probability of this. A royal flush is the best hand in poker, consisting of a 10, jack, queen, king, and. 017667: Four deuces: 200: 4060462824: 0. com, getting that sixth card pushes the odds to 1 in 20 million. 32552597) 2 to. 00001540898529 The probability of a Royal Flush occurring is 0. In one suit, there are 8 different 7-card straights possible. In Ultimate X mode any paying hand will both pay. A royal flush is a combination of a straight and a flush, with the added stipulation of being a high straight. Players should be aware in Texas hold’em of the “nut. Want to see a Royal Flush in a $612,000 pot ? Note: Want 10 quick tips that will help you win at poker? See full list on thoughtco. Quick Links. Straight flush: any of 40 five-card combinations when suits are taken into account (including royal flushes -- clearly if royal flushes are to be excluded, change the 40 below to 36). So -. 045 = 2. There are ${52 \choose 5} = 2,598,960$ different equiprobable hands you can be dealt when you are dealt five cards from a standard deck of fifty-two. The program is about 600 lines of code and takes about six hours to run. 82%. Getting your royal flush cards at the very beginning can give you incentive to go all-in or to double down on your bets. the gold standard for video poker is a “9/6” machine — one that pays nine credits for a full house and six for a flush. 1. Keep this in mind. 001% = 1 / 108,290 royal flop in Omaha . The odds against a royal flush, for example, are nearly 31,000-to-1, making it the rarest and strongest hand in poker. A royal flush is defined as an ace-high straight flush. Let us use the formula to find the probability of cards. It takes about 100 hours of single-hand video poker to play 40,000 hands, or about 25 hours if you're playing four-handed. The top win is for a royal flush using at least one hole card, which I call a "hidden royal flush. This means that the odds of hitting a royal flush with your initial five cards will differ from a royal flush after discarding 4, 3, 2 or 1 card. Then, to obtain a royal flush in, say, spades, you can choose any five cards from A, K, Q, J, 10 and the four wild cards. 00000047: 7 card. A royal flush is the best possible straight flush - Ace, King, Queen, Jack, and Ten of the same suit - e. The actual odds of flopping a royal flush are 1 in 649,740. A royal flush is actually the best possible version of a straight flush. On average, it occurs once every 509 deals.