00015 percent (1 in 649,740). Compare this to the overall probability of the royal being 1 in 30,940. His strategy considers the suit distribution of the penalty cards with T-3-2 to T-9-8. 000,015,39 (40/2,598,960) Use the table below to calculate the probabilities of all poker. For the purpose of this table, a royal flush, straight flush, flush, and straight must use all cards. 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. This is how Texas Hold’em odds are calculated. And, from Problem 1, we know that there are 2,598,960 distinct poker hands. 000154% (or a chance of 1:649,740. 05 bet units, which for a $5 bet is $102,680. A STRAIGHT FLUSH All 5 cards are from the same suit and they form a straight (they may also be a royal flush). Your chance of getting a pocket pair is 1 out of 221 while the likely hood for the dealer to also have the same card is less than 0. It can be formed four ways (one way for each suit), meaning odds of around 1 in 30,940 overall – or just 1 in 649,740 of forming a royal flush with your first five cards. You have. There are 2,598,960 possible 5-card hands and 4 possible ways to draw a royal flush. We must subtract the number of straight flushes and royal flushes from 5148 in order to. 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 out of 7 total cards) is 1:30,000 (roughly). Following is my intermediate strategy. 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). . ABC poker will work against bad players. 1965%. However, those three top hands all pay the same as a 5-card royal flush at 1000. In summary, the conversation discusses the statistical chances. You'll see a natural royal flush roughly once every 40,000 hands or so. 0019654. 00000836 Other straight flush 180 0. Five cards of consecutive rank, all of the same suit. 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. Using both of your hole cards: 1 in 64,974. This includes the four royal flushes (Diamonds, Spades, Clubs and Hearts). At three decision points along the way, the player may either raise his Ante bet by one to three times or fold. However, those three top hands all pay the same as a 5-card royal flush at 1000. ROYAL FLUSH POKER PROBABILITY. 0. 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. If. = 0. A typical flush might be the king, jack, eight, five, and three of hearts. 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?. The odds of being dealt a Royal Flush on the flop in a random 5-card hand are 1 in 649,740. This is a ratio, not a fraction. 8 million hands. The trouble is, the odds of getting that perfect poker hand is often a lot lower than you might think. Here’s the best way to solve it. 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. 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. If you drew five random cards from a 52-card deck, you’d have an 0. As usual, if a situation isn't listed, don't play it. 3 to 1 for a 3 of a kind. 0240% Full House 3,744 0. 6. 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. A royal flush is the best hand in poker, consisting of a 10, jack, queen, king, and. Here's the answer for "Like the odds of getting dealt a royal flush Crossword Clue", The SLIM is the answer for Like the odds of getting dealt a royal flush NYT Crossword Clue. These Are the Odds of Getting a Royal Flush in Video Poker. (AKQJ10 down to 5432A): ((4),(1))xx10=40 and so 5148-40=5108 gives 5108/2598960~~0. Getting dealt a royal flush not on the flop is less rare, but still makes the poker royal flush difficult to obtain. They are ranked by high card, from Ace-High (AKQJT) down to five-high (5432A). The following table shows the return table based on a breakeven meter of 20536. 000154% (649,739-to-1. In , when it comes to the battle between 5 of a kind and a royal flush, it’s all about probability. 🔥 The royal flush is undoubtedly one of the most desirable poker hands in a game of poker. If the turned up card is also the same suit, the flush scores 5 points. As in a regular straight, you can have an ace either high (A-K-Q-J-T) or low (5-4-3-2-1). There are 2,598,960 possible 5-card hands and 4 possible ways to draw a royal flush. , A, K, Q, J, and 10, all of the same suit) is famously called a royal flush and is the best possible hand. 0. So 32 different seven-card straight flushes are possible. For example, an ace, king, queen, jack and 10 of hearts. Probability of Royal Flush Hand. You can use two different checks to confirm this: when sorted, the difference between the top card and the bottom card is equal to the total number of cards minus one (e. See odds to help you win at Pai Gow Poker at the best gambling websites on the internet. 24. If you have four cards to a royal flush, discard the fifth card even if it does give you a high pair. The chances of converting 3 to a royal, to a royal flush, is 1/1081. There are four ways to do this. To illustrate how the RNG works, imagine a large box filled with starting hands. I have played a few games in a real casino setting that used one or two "bugs". , 10♣J♣Q♣K♣A♣. Royal flush. 02% or 1 in 4,900. 39 x 10^-7 or close to 1 in 4. 0032%. 000154% of the time, or once every 650,000 hands (odds against of 649,740:1 to be precise). The probability of the board containing the other 3 Royal cards: C (47,2)/C (50,5) = 1081/2,118,760 = 0. 00001539 = 1 in 64,974. Getting a royal straight flush post-flop increases the. For the 3RFs to be spades, ÷ 4 = 1/368. You should always go with the 5-coin bet, though, because that activates a higher payout on a royal flush. A royal flush is the hardest hand to make in standard real money Texas Hold’em games. 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. 6 So the event that you will have pocket aces that will turn to quads and lose will happen 1 in (221 122. 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. It has to do with the statement of the probability of the royal flush. So knowing nothing about your holding, the probability of receiving 2 cards that can participate in a royal flush and then having the flop be the other 3 royal flush cards is 4/2598960, or 1/649740. If the player makes a max coin bet of 10 coins per line, then he will activate the Ultimate X feature. 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. 96. Payouts in the Aces and Faces video poker start with a pair of jacks, while a royal flush is the game’s jackpot. You should never play video poker with the idea that you are going to hit a royal flush. If you play live holdem at 40 hands per hour, you'll get 1 on average for every 1000 hours of play. Deuces Wild – if you are playing a full-pay Deuces Wild game, you can expect to hit on average every 45 280 hands. Show Probability [P( ext{Royal Flush Hand})=frac{1}{649740}approx 0. While variants of the game and differences in payouts among casinos can vary the odds, the house advantage is usually very. A royal flush is the best hand in poker, consisting of a 10, jack, queen, king, and. 00024 Full House 3744 0. 001980792317 - 0. For example, with three cards, a royal flush would be suited QKA. 2. Your chances of a royal flush on the deal are 1 in 649,740. The number of hands in a royal flush cycle varies slightly from game to game. There are 2,598,960 unique poker hands. 0000421845, or 1 in 23,705. Poker Hands in Python. 1. 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. You can pick either player and then permute them to get the same result. 3%. So, not very high at all. 38815913) 3 to a straight flush, spread 5 and suited 346,356 2,3,4 (0. 00016927: Five Aces: 140,000-1: 0. What I originally wanted to do was just put the following list of possible hands in the order of probability: Three Card Straight; Three Card Flush;This means that the odds of being dealt a natural royal flush are 1 in 649,740 or approximately 0. ShinjukuAce • 8 yr. Play 1 million hands of poker (never folding any of those hands preflop however) and you'll probably flop a royal flush once or twice. 00015 percent. 00196 To find the probability, we need to find the fraction where the numerator is the number of ways to have a flush and. e. Again, assuming the deck is. Here are the (interesting) rules for scoring a set of cards in Cribbage. 00002078 Other straight flush 480 0. 00000000025. Backdoor draws for your royal flush will only entitle you to the blinds' payout of 500:1. Your chance of being dealt a five-card royal flush on the initial deal is a minuscule 0. This hand consists of values 10,J,Q,K,A, all of the same suit. Can someone explain the difference in odds. 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 one in 30,000 number tossed. So 32 different seven-card straight flushes are possible. Now we intuition we see that. 88%, or odds of 1 : 16. 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. 547%. No suit is considered stronger than any other with a mini royal flush. The best hand (because of the low probability that it will occur) is the royal flush, which consists of 10, J, Q, K, A of the same suit. We now carry out the division and see that a royal flush is rare indeed. For example, the probability of a royal flush is 1 in 649,739 when there are three aces on the table. 00000154. . 5% if proper strategy is used over the long term. There are many different odds and combinations that you can make with a royal. Therefore, the chance of hitting the royal flush when you hold a four-card royal flush and draw one card, is 1 in 47. Royal Match pays 25 to 1;. But, there are few people who will ever play 30,490 poker hands in their life, so this mythical poker hand which beats all others. 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. 00000153907 which is computed as 4 possible royal flush hands divided by 52C5 total cases as you pointed out. 50. 000022: 0. This is equivalent to odds of 693-to-1. 25. 555%. Poker variation also affects your odds of landing a royal flush. g. So an ace-high straight flush is the best possible holding. Straight. The probability of being dealt a royal is 4 divided by 2,598,960 or 0. The odds of landing a royal flush in poker are the lowest. As mentioned in the OP, this is a job for the Principle of Inclusion/Exclusion (although the probability of more than one royal flush is small). But you also have a 100% chance of getting a 50 for 1 payoff. Straight flush (excluding Royal flush) 36 in 2,598,960: 0. 00003232 Other straight flush 37,260 0. Many people have misconceptions about odds as TV presenters love to provide. 1965%. 0. 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. 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 two cards of the same suit between 10 and Ace. The strongest poker hand of all is a type of straight flush where you have A-K-Q-J-10 – all in the same suit. The odds of hitting a sequential, left to right, royal is 1-in-120 Royals. It follows the same pay table as the 6 Card Bonus above. 5. Today's puzzle is listed on our homepage along with all the possible crossword clue solutions. 33% chance of completing the flush on the turn and seeing another flush card on the river. 07% ending with royals, 46. 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. 3 Card Poker Strategy1 Answer. 10 ♥ 7 ♥ 5 ♥ 2 ♥. The situation is more challenging in situations where categories of outcomes are not so clearly defined. 00000732: 7 card Straight Flush: 800,000-1: 0. We can calculate the poker probability of making a straight flush as (36/2,598,960). The best hand (because of the low probability that it will occur) is the royal flush, which consists of 10, J, Q, K, A of the same suit. How many simple events are in the sample space? (a) How many simple events are in the sample space? simple events (b) A royal lush is a hand that contains the A, K, Q, , and 10, all in the same suit. Here is the information the is needed The probability of a Straight Flush occurring is 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. 00323% probability of hitting the other three cards and completing a royal flush by the river. Four-card royal flush. 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. To make matters more confusing, a reversible royal game may refer to a royal flush in either direction a. There are just four ways to make a royal flush (one in each suit). However, if we want to know the chance of flopping a. If you get 2 cards in the flop your odds improve to about 4% to get a Royal flush and reduce to 2% if you miss it on the turn. If the player gets a Flush, he is paid 5, with a Straight, the payout is 10, a Three of a Kind promises a payout of 33, a Straight Flush comes with a payout of 35 while Suited Three of a Kind has the highest payout of 100. 000 001 539` Straight FlushIt is: = 0. 000154%. 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. 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. For example, when a single die is rolled, each outcome has the same probability of occurring. All four cards of the same rank. com The royal flush is a case of the straight flush. There are 2,598,960 possible 5-card hands and 4 possible ways to draw a royal flush. This problem has been solved! You'll get a detailed solution from a subject matter expert that helps you learn core concepts. Then you should multiply all of this by 2 so that player A can have the royal and player B the AAAA. 961472. 2 to a royal flush: Go for the straight flush; 2 9 J Q K — 3 to a straight flush (type 1) vs. Mini Royal Flush: An ace, king, and queen all of the same suit. Three suited cards in a row except 2-3-4, and ace-2-3. Themuckster. 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. Understand the rarity and value of this unbeatable hand,. Royal Match - Version 3. Best of luck in and out of the casinos, John. That's 2. 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. Actually I made it more complicated than it needed to be. It's about 1 in 40,000 hands in holdem, and 1 in 30,000 hands in Omaha. The odds of flopping a royal flush are one in 19,600. Four of a Kind. 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. Except the sub is called "Never tell me the odds. 000002] Show ComputationA royal flush is a straight flush using the four face cards and a 10 (ace through 10). 017453POKER ODDS CALCULATOR. 00015%. Poker Hand Number of Ways to Get This Probability of This Hand Royal Flush 4 0. 000001539. Odds of a Royal Flush. 000204: 0. That means we don't talk about the odds here. 0032%. The royal flush stands as the best hand possible in the rankings, while the high card hand ranks as the weakest. Here are the probabilities I get for your making a royal flush on one hand of hold'em: Using 0, 1, or 2 of your hole cards: 1 in 30,940. 0. The odds of flopping a royal flush plummet to a probability of 0. of Hands Probability-----5 Aces 1,128 0. 4 Royal {Flushes}) = (617,760 / 120) - 40 Possible flushes = 5,148 - 40 Possible flushes = 5108. The Probability of a Royal Flush (fraction) constant defines the probability of drawing a Royal Flush and represent the probability as a fraction. On average, it occurs once every 509 deals. The odds of flopping a royal flush are one in 19,600. What is a royal flush in blackjack? The 21+3 side bet uses 3-card poker hands for its payout structure. There a progressive jackpot is paid for a royal flush. Perfect Strategy Analysis; Hand Payoff Combinations Probability Hit Frequency Variance Return; Natural Royal Flush: 800: 434,878,920: 0. 45%. 5 to 1 for a straight. and the 6 of clubs (lowering the odds of forming a flush). The top win is for a royal flush using at least one hole card, which I call a "hidden royal flush. The bet amount is $1, nd there is no Envy Bonus. So the probability of being dealt a Royal flush is 4 in 2,598,960 - or 1 in 649,740. 00323% in Texas Holdem. I believe i have 2 ways to calculate this Option 1 : i do the math like above , and end up with a 0. Your odds of a royal flush are 0. In 2006, Bob wrote a book on Omaha called “. Find out about Odds in Pai Gow Poker. A royal flush is {10, J, Q, K, A} of the same suit. There are separate line items for a six-card royal flush and six-card royal flush in diamonds. The odds of getting any royal flush in 5-card poker are 1 in 649,740. The program is about 600 lines of code and takes about six hours to run. One person making Royal Flush in Texas Hold'em with 5 community cards is 1 in 30,940. It has to do with the statement of the probability of the royal flush. This sub is called r/nevertellmetheodds. 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. 0. 000510204 = 0. 36. 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. Each hand has a rank, which is compared against the ranks of other hands participating in the showdown to decide who wins the pot. 0. 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. In one suit, there are 8 different 7-card straights possible. 2 – Can a Royal Flush be beaten? No other hand in a regular poker game can defeat a royal flush. probability. Determining the Probability of Forming the Royal Flush. Probability of a flush = Possible flushes :I want to calculate the chance of a straight flush. It consists of cards of the ranks 10, J, Q, K, and A that are all of the same suit. The highest possible flush you can have in poker is called a “Royal Flush,” and it’s a truly magnificent sight to see. That means your chances of flopping a royal flush are . g. Royal Flush: A royal flush is the highest possible straight flush. 001980792317 - 0. So, even with the extra pair of cards in an Omaha hand, the odds of one player getting two such rare hands in so short an order. Royal flushes are unbeatable and extremely rare. Straight. Since the values. I assume the odds of 2 royal flushes on the same hand are pretty high. 4324/133,784,560 - 1/649,740 = 1 in 32,487 for a single player. A four of a kind happens about once an hour. 4 million. Bet 1x on 4 th street with any straight draw containing zero gaps AND ranked 4-5-6 or better. This page shows the probability and return from all 974 possible outcomes. Specifically, we will compute the probability of being dealt a royal flush. 0213 or Odds of catching the gutshot Royal Flush on the river 1/46 = 0. We would like to show you a description here but the site won’t allow us. 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. All straights have the same probability (as five-card hands). The Play bet may be up to three times. 65% of that of a straight flush, but a royal pays 16 times more. For all the rules and analysis, please see my page on the Millionaire Progressive . 0. 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. 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. Flush Any five. 35522664) 4 to an inside straight, except missing deuce (0. Get 150,000 Gold Coins for $10, plus get 30 FREE Sweeps Coins. Progressive video poker answers the criticism of those who feel that video poker doesn’t offer enough of a jackpot payout to players. The expected value will be calculated of each, and the player is given the best one as his hand on the deal. 1. Question: 4. 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. Probability; 1) 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 suit? 2) If you were to flip a coin 3 times; a. 030166*0. The odds of hitting a royal flush directly are only 1 in 649,739. Naturally, a nine-high straight flush would beat a six-high straight flush, for example. 44% and then you double the flop odds for a total of 1 / 1,951,025 What are the odds of a Royal Flush? 0. Quad aces + royal flush. The Odds of Hitting on the Turn or River Odds of catching the gutshot Royal Flush on the turn 1/47 = 0. Full House - A full house is when you have three of a kind with a pair. Royal Flush (five credit bet) 800. There are 4 royal flushes out of 52c5 possible hands, which is (52 * 51 * 50 * 49 * 48) / (5 * 4 * 3 * 2 * 1) = 2598960. one leads to a Royal Flush. 00015% of being dealt this hand. Only a royal flush beats a straight flush, according to the standard poker hand rankings. 00000035 Royal straight flush 24 0. So for a given pocket. It is the best hand in most forms of poker (also the rarest), including Texas Hold'em. The probability that the royal flush will be collected twice in a row is about the. Understand the rarity and value of this unbeatable hand, with odds of approximately 1 in 649,740 hands. 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. 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 flush draw is always drawing to a royal flush and is sometimes quite playable. 5d6d7d8d9d. This probability can also be expressed as 649,739-to-1 odds against drawing a royal flush. 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. In Cajun stud, a five-card player hand is revealed gradually. 32552597) 2 to. Keep in Mind the Odds: However, it’s best to keep in mind that the odds of successfully completing these hands are incredibly low - a royal flush has less than 0. If all four cards in the players hand are the same suit, this is a called a flush and scores 4 points. 003232% 30,939:1: Straight Flush: 37,260: Any paying hand (tens or better, three of a kind) Any three to a royal flush. 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. = 40 / 2,598,960 = 0. To put it in perspective, there are 604,800 seconds in a full week. The worst Let Em Ride paytable that we’ve seen pays out royal flushes at 500 to 1! The rest of the table’s winning hands pay out as follows: 200 to 1 for a straight flush. If you play perfectly your odds of hitting a royal flush are roughly 1 in 40,000. Thus, the math is the same. 31,600 posts. This probability is approximately 1/509. See odds to help you win at Pai Gow Poker at the best gambling websites on the internet. Four singletons. Show Probability [P( ext{Royal Flush Hand})=frac{1}{649740}approx 0. If anyone is interested in how to calculate the odds of completing a royal flush with one card saved, here is how it works. Total. Currently the unresolved cases are breaking towards the royal at a rate of 22. probability. a 4-8 straight has a difference of 4) no two cards. my question doesn't have to do with solving the question. 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. 00000047: 7 card. Fold everything else. Going back to the poker example, the four hands I mentioned could be described by the three. The actual odds of flopping a royal flush are 1 in 649,740. The probability of being dealt a pair in Texas Hold’em is 5. 4%) = 3. 00119909. If you catch the game at the right level, it can make for a profitable gambling experience. Four of a Kind Four of a kind is simply four cards of the same rank. In a. 02% chance of making a straight flush on the flop. Think of it like this; it’s like a race between a Lamborghini and a Ferrari. The odds of receiving a pocket pair of 3’s or better is 5. That's 2. 00002 Four-of-a-Kind 624 0. txt, contains one-thousand random hands dealt to two players. 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. 002% probability. 00000127: Royal Flush plus 2 2’s: 2,000,000-1: 0. Royal Flush (Straight Flush) A royal flush is essentially the best possible hand that you can get in poker, but it’s still just a straight flush. The probability of a four of a kind in seven cards is 0.