91%. The Royal Flush is top on the list of poker hand rankings. You might think that with those long odds, you’ll never be lucky enough to be dealt a. For a Straight Flush, it is 1 in 72,193, and for Four of a Kind – 1 in 4,165. 045 = 2. 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. It got me wondering what the odds of a flopped royal flush. At three decision points along the way, the player may either raise his Ante bet by one to three times or fold. 00016927: Five Aces: 140,000-1: 0. 0. This means for every 47 times you hold four to the royal, on average you will hit the royal once, and not hit the royal the other 46 times. GET ₹3000 BONUS, Use Code: NEW400. Naturally, a nine-high straight flush would beat a six-high straight flush, for example. Design detection in this example is easy because the category royal flush was already defined (aka prespecified) by the rules of the game. 2 – Can a Royal Flush be beaten? No other hand in a regular poker game can defeat a royal flush. The odds of being dealt a Royal Flush on the flop in a random 5-card hand are 1 in 649,740. Getting a royal flush = 1 in 649,740 odds Starting with 4 royal flush cards = 1 in 2,777 3 RFCs = 1 in 92 2 RFCs = 1 in 13 1 RFC = 1 in 6. If one of these three cards is an ace, two other cards must match that ace. As usual, if a situation isn't listed, don't play it. Two pair. The royal flush is the only unbeatable hand in poker. 19933230517200. 1965%. There a progressive jackpot is paid for a royal flush. g T ♥ J ♥ Q ♥ K ♥ A ♥. 000154%: The odds of being dealt the Royal Flush on the flop is only the tip of the iceberg. Actually I made it more complicated than it needed to be. Odds. 76%. Version 2 mostly uses the same pay table as version 1 but adds a $100,000 win for a "6-Card Super Royal," which is a suited 9-A straight flush. 2%. Probability of Royal Flush Hand. 5% if proper strategy is used over the long term. The highest possible flush you can have in poker is called a “Royal Flush,” and it’s a truly magnificent sight to see. com The royal flush is a case of the straight flush. Following is my intermediate strategy. 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. High Card Flush Advanced Strategy. 000154%. Odds of you specifically losing with a straight flush to a royal flush are 77260583400:1, but the AK vs 98 situation is only 1 of 8 SF over SF situations so the odds drop to 9657572925:1. 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. 01%), and one-way straight flush hands (0. Question: If you were playing with a single deck of cards, What is the probability of drawing a Royal Flush in SPADES? How does the probability change if the question asked the probability of drawing a Royal Flush of ANY. So we need to divvy up one of the 40 possible straight flushes so that 2 of the 5 cards get dealt to player and the other 3 appear on the board. Three suited cards in a row except 2-3-4, and ace-2-3. 0. We now carry out the division and see that a royal flush is rare indeed. 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. We present the probabilities for a 5 card deal here, and then concentrate on how to calculate these numbers. The odds of being dealt the Straight Flush on the flop is only the tip of the iceberg. 2. Jersey. The odds against a royal flush, for example, are nearly 31,000-to-1, making it the rarest and strongest hand in poker. 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. There are only 4 ways of getting such a hand (because there are 4 suits), so the probability of being dealt a royal flush is `4/(2,598,960)=0. 000154%. 4 to a Royal Flush: 3: 3 Aces: 4: Full House, Flush, Straight: 5: 3 of a Kind: 6: 4 to a Straight Flush: 7: Two Pair: 8: Pair of Aces: 9: Suited KQJ, QJT: 10:Probability of Flush. Royal Flush. This hand consists of values 10,J,Q,K,A, all of the same suit. Straight. The answer to this question is not as straightforward as you might think. What is a royal flush in blackjack? The 21+3 side bet uses 3-card poker hands for its payout structure. 6 So the event that you will have pocket aces that will turn to quads and lose will happen 1 in (221 122. 2 to a royal flush: Go for the straight flush; 2 9 J Q K — 3 to a straight flush (type 1) vs. The world's most trusted Seven Card Stud poker odds calculator. Straight Flush - Five Cards of the same type, in sequence. Perfect Strategy Analysis; Hand Payoff Combinations Probability Hit Frequency Variance Return; Natural Royal Flush: 800: 434,878,920: 0. 45% for hitting an 8-out (open-ended, I don't know about double gut-shot) straight draw. This means that it will occur, on average, once in every 649,740 hands. 000154%. A royal flush is the hardest hand to make in standard real money Texas Hold’em games. This calculation yields the odds of approximately 1 in 649,740. That's 2. Royal flush: 6,000-1: 0. A similar methodology holds for Omaha. There are 4 ways of picking a suit from the four (4 C 1 = 4), so there are 4 ways of getting a royal flush. And, from Problem 1, we know that there are 2,598,960 distinct poker hands. The odds of being dealt a royal flush are 1 in 649,740 which is significantly higher than the 35,000 to 45,000 mentioned above since these take into account saving the proper cards and redrawing. 00139%. Four of a Kind - All the four cards are of the same rank. Sorted by: 1. The odds of hitting any five-card Royal Flush are one in 649,000, and according to wizardofodds. 1. An Ace high straight-flush is called a Royal Flush and is the highest natural hand. Today's puzzle is listed on our homepage along with all the possible crossword clue solutions. If the player makes a max coin bet of 10 coins per line, then he will activate the Ultimate X feature. 00000732 Royal straight flush 26,132 0. For more on odds, including the probability of winning any given hand on the. See odds to help you win at Pai Gow Poker at the best gambling websites on the internet. 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. Royal Flush. Here's the poker hand rankings in the order of best to worst: Royal flush - Where A, K, Q, J, 10 are of the same suit. Quick Links. 88%, with that rate dropping. There are 4 royal flushes out of 52c5 possible hands, which is (52 * 51 * 50 * 49 * 48) / (5 * 4 * 3 * 2 * 1) = 2598960. The first thing you should know is that a royal flush cycle is the average amount of hands it takes to hit a royal flush for a specific game while playing with perfect strategy. To put that in perspective, using an example of playing 2,000 hands of video poker every day (four hours at medium speed), it would take an average of 325 days to get a dealt royal (with a lot of variance in the actual time it takes). 00139% chance of making a straight flush from five random cards, or 72,192-to-1 odds against. If you draw five cards randomly from a 52-card deck, the probability of making a royal flush is 0. Royal Flush. Let’s assume you play for 8 hour at a speed of 400 hands per hour, or 3200 hands total. Three-way (0. Using both of your hole cards: 1 in 64,974. But notice I said "average," meaning you could hit more than one royal or even no royals. 002%. Flush - Any 5 cards of the same suit. (What they can do is change the payout. In poker, players form sets of five playing cards, called hands, according to the rules of the game. On average, a royal. A royal flush is actually the best possible version of a straight flush. Getting your royal flush cards at the very beginning can give you incentive to go all-in or to double down on your bets. Both cars are fast and impressive, but the Ferrari. Quad aces + royal flush. The house edge at all other times is 11. Total. Likewise, a two card Royal Flush with no Ace or ten may initially seem less valuable than some of the hands listed beneath it. When two hands of the same strength go head-to-head, the winner is determined. Poker Hands in Python. 00006272. This includes the four royal flushes (Diamonds, Spades, Clubs and Hearts). 4 million. 000510204. 5. It consists of ace, king, queen, jack, ten, all in the same suit. There are just four ways to make a royal flush (one in each suit). While a royal flush isn't included in blackjack games, a straight flush (cards of successive value and of the same suit) and a flush (cards of the same suit) are included and can result in good payouts for players. The odds of a royal flush in Texas Holdem is 1 in 30,940. 011%. 000001539. Four of a kind. The Odds of Making a Straight Flush in Poker. The probability of being dealt a royal flush (ace, king, queen, jack, and 10 10 10 of the same suit) in a five-card poker hand is about 1 1 1 in 650, 000 650,000 650, 000. First, choose the suit. Of the remaining 47 cards, any two others can be selected, so the frequency of all Royal Flushes is 4 C 1 × 47 C 2 = 4,324). the streets of Las Vegas did their best to remove him. Going back to the poker example, the four hands I mentioned could be described by the three. 0. 0032% in Texas Hold’em, with the odds against making a royal flush at 30,939-to-1. There are only 3 types of hands that are playable - Straight, Flush, Straight Flush. However, a straight may not 'wraparound'. The chances of 3 to a royal on the deal are 1/92. If the player folds he forfeits all bets. Our best advice is to follow a strategy and play. 000002%. With 99. 001965401545. 00000047: 7 card. Common video poker games return 98+ percent to more than 100 percent with. 0019654. In this game, players are dealt 7 cards throughout the. The probability of being dealt a royal flush is 0. Flush - Any 5 cards of the same suit. 1 / 650,000. 88%, or odds of 1 : 16. 0000) 4 to a straight flush (3. This excludes the royal flush and straight flush. 3925%, and a high hand 50. The top win is for a royal flush using at least one hole card, which I call a "hidden royal flush. If. There are 2,598,960 different combinations in 5 card poker so there is a 4/2,598,960 or 1: 649,740 chance of getting a specific straight flush, including a Royal Flush using the formula (1/p) -1:1, with “p” being probability. There are only 4 ways of getting such a hand (because there are 4 suits), so the probability of being dealt a royal flush is `4/(2,598,960)=0. On average, a straight flush is dealt one time in every 64,974 deals. royal flush is P (A)*P (B)*P (C) = 1. 5d6d7d8d9d. 040741: Wild royal flushThe probability of a royal match is 4×n 2 /combin(52×n,2). Bet 1x on 4 th street with any low pair (5s or worse) Bet 1x on 4 th street with any hand worth at least 3 points. An ace-high straight flush, commonly known as a royal flush, is the best possible hand in many variants of poker. 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. 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. In a. If you have four cards to a royal flush, discard the fifth card even if it does give you a high pair. This is basic pai gow poker with an added $5 side bet. e. 00015% of being dealt this hand. 33% outcome means the pot odds calculation depends on how high your flush is. I have an unconfirmed report that the following pay table is offered in Washington State. However, because of variation you could easily hit a royal flush. 36. Considering the low odds of making a royal flush or straight flush, those hands are often included in a bad-beat jackpot. Below is a table that explains the odds of getting a specific hand when holding four, three, two. Patience will reap rewards against overly-aggressive players. For a traditional video poker game (9-6 Jacks or Better), you’ve got a 1 in 40,391 chance of hitting a royal. In a seven-card game like Omaha or Texas Hold’em, the odds of drawing a flush are much better. 00000732: 7 card Straight Flush: 800,000-1: 0. 0032% and 30,939:1 chances of appearing. 017453POKER ODDS CALCULATOR. The only thing unspecified is the suit. To put that in perspective, using an example of playing 2,000 hands of video poker every day (four hours at medium speed), it would take an average of 325 days to get a dealt royal (with a lot of variance in the actual time it takes). = 0. Also called “quads,” a four of a kind hand has four cards of the same value and a fifth card of a different value. It consists of cards of the ranks 10, J, Q, K, and A that are all of the same suit. To illustrate how the RNG works, imagine a large box filled with starting hands. Rules. Search for crossword clues found in the Daily Celebrity, NY Times, Daily Mirror, Telegraph and major publications. This problem has been solved! You'll get a detailed solution from a subject matter expert that helps you learn core concepts. 000001540898529 I have changed the value of the Probability of a Straight Flush occurring overall because there's a rule in Poker that prohibits the use of cyclical hands. In fact, the exact odds are that the dealer wins 55. Assuming independence of the hands, the probability of no royal flush in n n hands is: (649739 649740)n ( 649739 649740) n. Royal straight flush 4,324 0. Royal flush A, K, Q, J, 10, all the same suit. The following pay table can be found at Internet casinos using Gtech software. 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. Congratulations! You experienced a very rare event. 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. The payout rates and the true odds are two completely different beasts. If a cycle is 40,000 hands, that is the long run average of how many hands it will take to hit a royal. General Strategy. Those odds are 20/52 * 4/51 or about 3%. 017667: Four deuces: 200: 4060462824: 0. To make the best hand (Royal Flush) in each suit, many starting hand combinations need to be part of the mix. 001965401545. 000002] Show ComputationA royal flush is a straight flush using the four face cards and a 10 (ace through 10). = 0. Since the values. For heads up game, the probability of AAAA vs. We just discussed how players can receive certain parts of a royal flush and improve their opportunities of getting video poker's best hand. A royal flush is the best hand in poker, consisting of a 10, jack, queen, king, and. The following return table shows the return from the fixed wins only is 48. When you hit a Royal Flush Draw in Poker!Help us to 200K Subscribers - us: Twitter: Facebook:. Themuckster. Royal Match - Version 3. 00144 Flush 5108 0. Level Contributor . Making a royal for 800 units is worth much more. View the full answer. A four of a kind happens about once an hour. Show Probability [P( ext{Royal Flush Hand})=frac{1}{649740}approx 0. The odds for getting a specific royal flush in 5-card poker would be 1 in. A royal flush usually appears about once in every 40,000 hands when a player uses optimal strategy. Full expected value table. Five-Card Stud (Natural) Probabilities Hand Number Probability Straight Flush 2 40 0. The return table below is based on a $5 bet, which equates to a 20,000 to 1 win for a 6-Card Super Royal. With all poker hands, we use the highest-ranking card to determine which wins. 4. It's currently around $125,000. 39 x 10^-7 or close to 1 in 4. Sorted by: 2. The odds are greater to be: Dealt a royal flush on the opening hand in a poker game (1 in 649,739) (7) Killed by terrorists while traveling abroad (1 in 650,000) (8)Fortune Pai Gow Poker Progressive -- Version 1. 33% chance of completing the flush on the turn and seeing another flush card on the river. There are 4 royal flushes out of 52c5 possible hands, which is (52 * 51 * 50 * 49 * 48) / (5 * 4 * 3 * 2 * 1) = 2598960. It can be formed 4 ways (one for each suit),. 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. 256% and finally reach the maximum to 4. 8824% or 1 : 16. 35522664) 4 to an inside straight, except missing deuce (0. With this five-card hand, all the cards must be of the same suit, which is why the probability of earning a royal flush is so low. With four cards you should only "let it ride" if you have:Dividing by the number of possible hands gives the probability: or 1 in 649,740. 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. , 10♣J♣Q♣K♣A♣. However, it doesn’t need to be made up of the top cards. For simplicity’s sake, we’ll call that 2%. probability of the royal ush bonus occurring is n/64,974. 000032: Straight flush: K-9: 4,140: 0. In a standard 5-card poker hand for 1 deck: Calculate P(Flush) Flush Hands Calculate Total 5 Card hands Choose 5 cards from 52 cards. This means that there are 5148 – 40 = 5108 flushes that are not of a higher rank. 547%. 0002%: 1:649,739: The board allows for a royal flush: 1. The following table shows the return of the fixed wins only, not counting the envy bonus. so 1:1,000,000 hands (roughly). Royal Match - Version 3. Get 150,000 Gold Coins for $10, plus get 30 FREE Sweeps Coins. Needless to say I lost the hand. FAQ WHAT IS A ROYAL FLUSH IN POKER? WHICH POKER GAMES ARE THE MOST LIKELY TO DEAL ROYAL FLUSHES? IS THERE A WAY TO BEAT A ROYAL FLUSH?. Odds of a Royal Flush with All 7 Cards in Texas Hold’em. However, those three top hands all pay the same as a 5-card royal flush at 1000. b) A straight-flush (excluding royal flush) is all cards the same suit and showing consecutive numbers (but not the highest 5 consecutive numbers). Question 4: What is the probability of being dealt a royal flush from the first 5 cards in a deck? The number of al possible 5-card hand is ({52choose 5} = 2,598,960) A royal flush is ace, king, queen,. 0240% Full House 3,744 0. 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. This is the strongest possible hand in poker and can never be beaten. 48% of cases resolved, I see 53. Let us use the formula to find the probability of cards. Find out about Odds in Pai Gow Poker. Some of these flushes have already been counted as higher ranked hands. There is only a probability of 4/2,598,960. 000022: 45,836. 923825. It's worth mentioning that there is an additional (19. Search for crossword clues found in the Daily Celebrity, NY Times, Daily Mirror, Telegraph and major publications. 000002] Show ComputationFind out about Odds in Pai Gow Poker. 00000836 Other straight flush 180 0. Here are the (interesting) rules for scoring a set of cards in Cribbage. 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. Question: 4. 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. 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. What is a flush and what happens if two players have a royal flush? Who Wins If Two Players Have A Royal Flush In Poker? June 09, 2023. The following pay table can be found at Internet casinos using Gtech software. Probability Of Royal Flush In Texas Holdem. Rounded to the nearest tenth of a percent, 9/47 = 19. Royal flush. The odds of hitting a royal flush will change also depending on the hands that you are initially dealt. 00027851. A "bug" is. The precise odds depend on game and playing strategy. But if you have a straight flush that runs from 9 through king of the same suit, take the straight flush payoff rather than chasing the royal. 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. 000154%. Royal flush. Keep this in mind. 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. 4 / 2,598,960 = 0. If all four cards in the players hand are the same suit, this is a called a flush and scores 4 points. What about my odds of hitting a royal on a total redraw? Your chances are a little better on a complete. Flush. 82%. 28: 13. Rummy. It follows the same pay table as the 6 Card Bonus above. 00323% in Texas Holdem. 0276%: 1:3,628: Witnessing a royal flush over 100 hands at a full ring table: 2. Hand Payoff Combinations Probability Return; Natural royal flush: 800: 440202756: 0. 0. 00198. So an ace-high straight flush is the best possible holding. hand: computation: counts: probability odds: royal flush: 4: 4: straight flush: 36: four of a kind: 624: full house: flush: straight: three of a kind: 0. The probability of being dealt a pair in Texas Hold’em is 5. Your odds are best after getting two suited pocket cards usable in the Royal flush. Probability; Royal flush 4,324: 0. 000031:. In , when it comes to the battle between 5 of a kind and a royal flush, it’s all about probability. I can only speculate that game makers wanted a. I am completely unfamiliar with poker, and just learning the principles of probability. 000154% chance of making a royal flush. The odds of landing a Straight-Flush on the Flop alone are 1 in 72,193 (excluding a Royal Flush); AND THEN, Villain (enforser) also had the Nut Flush! The chances of both of the above happening in this same hand are a staggeringly unlikely 1 in 5,574,332, or 0. Probability of getting a hand that has 5 cards of the same suit (flush, straight flush, royal flush) =5148/2598960~=. 50. This probability is approximately 1/509. When ace-low straights and ace-low straight flushes are not counted, the probabilities of each are reduced: straights and straight flushes each become 9/10 as common as they otherwise would be. The odds of hitting a Royal Flush are just 0. This is equivalent to odds of 693-to-1. The situation is more challenging in situations where categories of outcomes are not so clearly defined. The odds of getting any royal flush in 5-card poker are 1 in 649,740. 005% chance of flopping a royal flush. That makes the odds of drawing this mostly 32 / 52C7 for each hand (not quite, because hands drawn in a single round aren't independent, but it's pretty close). So to find the probability of making a royal flush we take the total number of possible royal flush combinations (4) and divide it by the total number of poker hand combinations (2,598,960). Bet 1x on 4 th street with any straight draw containing zero gaps AND ranked 4-5-6 or better. These statistics also vary between video poker types and depend on some other factors that we’ll get into below. 01E-12 (very weak) So the probability for player winning with royal flush should be near 4/ 2,598,960 because the coincidence is weak: 1. " There is also a $100 envy bonus if another player gets a hidden royal. Total. 000031: Straight flush: Q-8: 4,140: 0. A royal flush is a combination of a straight and a flush, with the added stipulation of being a high straight. 6 million, according to the Mega Millions site. They are ranked by high card, from Ace-High (AKQJT) down to five-high (5432A). 1 Answer. 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. So, ÷1081 for each of the two hands, = 1 in 3,594,493,636. 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. The dealer flipped over his cards and he also had a royal flush with the royal match. one leads to a Royal Flush. Unlike normal poker, a 3, 4 or 5 card straight/flush/straight flush can be played. That’s especially true on a cruise. Therefore, the odds against drawing a royal flush in 5-card poker are 2,598,956:4 which works out to 649,739:1. probability. To make matters more confusing, a reversible royal game may refer to a royal flush in either direction a. e. 00027851. Your chance of being dealt a five-card royal flush on the initial deal is a minuscule 0. How about 6 players combined, assuming no one would ever fold two suited broadway cards? texas-hold-em. as a royal flush. This is because there is only a 0. Drawing to a Royal. For example, an ace, king, queen, jack and 10 of hearts. The order of the deal does not matter. 00001539077169. So, your odds of hitting the best hand, the jackpot, and the coveted Royal Flush are 1 in 42,500 hands. Specifically, we will compute the probability of being dealt a royal flush. 0032%. What are the odds of getting a royal flush? The odds of flopping a royal flush in Texas Hold'em in any given hand is 1 in 649,740 (before cards are dealt). I assume the odds of 2 royal flushes on the same hand are pretty high. With all poker hands, we use the highest-ranking card to determine which wins. The probability of being dealt a royal is 4 divided by 2,598,960 or 0. We can now calculate the probability of a flush as 5108/2,598,960 = 0. Since the game only uses 20 cards, the chance of hitting a one-card out is better than 1 in 7 if you’re facing a small bet on the flop. 3%. 00196 To find the probability, we need to find the fraction where the numerator is the number of ways to have a flush and. We must make sure not to double count these hands. Three to a straight flush, spread 4, with at least one high card (ten or greater) Three to a straight flush, spread 5, with at least two high cards. These Are the Odds of Getting a Royal Flush in Video Poker. 144% Flush 5,108 0. Yet the payout for such an incredible feat is merely 1,000 to 1. Assuming independence of the hands, the probability of no royal flush in n n hands is: (649739 649740)n ( 649739 649740) n. The odds of the deck the be stacked in the perfect way according to how many players there are to give you the royal flush on the flop seem to be. Four of a Kind. Hold any combination of four cards to a straight flush.