Flop a royal = 0. So, 1 out of about 42,000 hands result in a Royal Flush after the draw, but only 4 out of 2,598,960 (1 out of 649,740) hands you. A "reversible royal" is one that pays a premium for a sequential royal flush in EITHER direction. e. 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. Odds are longer on the deal than in a redraw because there are more possible hands with 52 cards than when you. Royal Flush Bonuses. You just need to have two hole cards that can make a royal, i. 5%. How to Maximise a Royal Flush Hand. 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. Here is a runthrough of the probabilities and house edge in Video poker and tips and strategy that you should bear in mind when playing. There are 52C5 possible five card hands (2,598,960 distinct hands) that can be dealt from a deck, and here is a table showing a breakdown of the frequency of occurrence of each of these ranked hands. 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). It consists of cards of the ranks 10, J, Q, K, and A that are all of the same suit. of 40-hour weeks. Every player has the same chances to get a royal flush. 4%, respectively. For example, if you hold the A♣ K♣ Q♣ J♣ 10♣. Royal Flush Probability: 0. The odds of this happening are 1:508, so a little less likely than the full house. Royal flush - using wild cards. But what are the odds of that happening, and when can you expect it? 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. The odds against drawing a royal flush are 649,739-to-1. This is of course correct if we calculate the probability of being dealt two cards to a royal flush and then flopping the three cards we need to complete the hand. The highest straight card- and not the suit- decides the ranking of the flush. Casinos can’t change the odds of hitting a royal flush. ) There are 9 possibilities. You have three consecutive cards in a straight flush draw of 5-6-7 or better. 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. The latest puzzle is: NYT 11/09/23. 63. Royal Flush dealt. So 32 different seven-card straight flushes are possible. Standard poker ranking rules are followed with one strange exception — the A2345 straight (known as "the wheel") is considered the second highest straight. If it "hits," you chances go up to 100%. You should never play video poker with the idea that you are going to hit a royal flush. 00197 Straight 10,200 0. This is the strongest hand in poker. Odds of getting Royal Flush in video poker. The odds according to your formula for a royal flush is 4/2,598,960 = 1/649,740. Players should be aware in Texas hold’em of the “nut. A ♥ K ♥ Q ♥ J ♥ 10 ♥. 00000000025. 000154% chance of getting. The odds of getting a sequential royal are about (wait for it) 2. Casinos can’t change the odds of hitting a royal flush. Any paying hand (tens or better, three of a kind) Any three to a royal flush. and the 6 of clubs (lowering the odds of forming a flush). The best way to increase the odds of getting a straight flush is to practice more often with free preflop charts. The odds of flopping a straight flush with a premium suited connector such as T9s is 0. Total Hands =. Question: Find the probability of getting a royal flush poker hand when 5 cards are dealt from an ordinary deck. 000154%. However,. 9. Explanation: To find the probability of getting a royal flush in a game of poker, we first need to know how many possible royal flush hands. c. Four of a kind. Mississippi Stud Pay Table. The Royal Flush is top on the list of poker hand rankings. 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. There are 19,600 possible flops in total. Therefore I believe the odds of flopping a royal flush is: 5! 13⋅51⋅50⋅49⋅48 5! 13 ⋅ 51 ⋅ 50 ⋅ 49 ⋅ 48 I would think that this probability would be independent of how many players are. This makes a royal flush one of the rarest and most highly coveted hands in poker. Paul Phua says that to start with, you will have to play 30,940 poker hands before you get dealt a Royal Flush. Therefore, according to the math, after 1,299,480 hands there should be two royal flushes. The exact odds of hitting a royal flush in video poker depend on the game. Royal Flush: A royal flush is the highest possible straight 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. Naturally, a nine-high straight flush would beat a six-high straight flush, for example. 6) = 227. 000154% chance to make one. It follows the same pay table as the 6 Card Bonus above. m. Royal Flush Poker Ranking FAQsProbability 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. Joined Jul 10, 2017 If you draw five cards randomly from a 52-card deck, the probability of making a royal flush is 0. 7 billion. Probability; Royal flush 4,324: 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. The odds of being dealt a Royal Flush on the flop in a random 5-card hand are 1 in 649,740. The probability of being dealt a straight flush is 0. 71%. then i would say its 30,000 X 30,000 to get 2 consecutive royal flushes. 005 percent or 1 in 19,600 to two appropriate broadways. But this isn’t the case, because video poker is still filled with common misbeliefs. The probability of getting a royal flush is determined by the number of royal flushes divided by the total number of poker hands. 000154% chance of making poker's ultimate hand. This translates to a 0. Thus, the math is the same. I get 1 in 64,974. The probability of getting two-to-a-royal using the two hole cards is (pick 1 out of 4)*(pick 2 out of 5) / (pick 2 out of 52). The probability of a four of a kind in seven cards is 0. The odds for a straight flush are 0. It indeed is, I've played around 230,000 hands in-game and have only made one Royal Flush. For purposes of this page, a sequential royal is a royal flush that is sequential in the low to high (10-J-Q-K-A) order only. # straight flushes = 9 4C1 = 9·4 = 36 Subtracting the number of royal flushes and dividing by the number of possible hands gives the probability: € P(straight. When playing video poker, many players dream of landing a royal flush to get that 4000-coin jackpot. Four-of-a-kind odds. the Wizard of Odds, whose book Gambling 102 is coming out in a new edition very soon. If you figure you can play four games per minute, you would have to play non-stop for almost 7 days straight, 24/7 before you've played 40,000 hands. Like most gamblers, you’re probably wise enough to know that getting a Royal Flush while playing video poker is really difficult. 00001539077169. 0000153908. 0032%. The highest paying hand is Royal Flush, which is a combination of a Ten, a Jack, a Queen, a King, and an Ace of the same suit. 1. 00198. Getting your royal flush cards at the very beginning can give you incentive to go all-in or to double down on your bets. How to mathematically determine the chance of getting a ROYAL FLUSH in 5 card poker. 00024 Full House 3744 0. Royal flush. 1 Answer. The probability of getting a royal flush in a game of poker is 0. 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 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. What are the odds of a royal flush in Texas Hold em? 1 in 30,940. 000831. A hand so rare most poker players will remember every single one they are dealt for their entire life. When holding two suited cards between Ten and Ace, the. Your chances of hitting it are 0. However, it doesn’t need to be made up of the top cards. Here is the information the is needed The probability of a Straight Flush occurring is 0. Expert Answer. 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. P of = 0. 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. then i would say its 30,000 X 30,000 to get 2 consecutive royal flushes. We must make sure not to double count these hands. Let's do this two ways. 0. The odds of hitting a sequential, left to right, royal is 1-in-120 Royals. There are separate line items for a six-card royal flush and six-card royal flush in diamonds. Find clues for like the odds of being dealt a royal flush or most any crossword answer or clues for crossword answers. = 40 / 2,598,960 = 0. Poker odds with wild cards. The chances of getting a royal flush in Hold ‘Em are 1 in 30,940 hands. Then we determine how many ways to get a flush (I'm going to assume exactly 5 spades and not more than 5). The latest puzzle is: NYT 11/20/23. 00119909. Our best advice is to follow a strategy and play. The board shows a royal flush: 0. 4 million-to-1. In poker, players form sets of five playing cards, called hands, according to the rules of the game. Odds of Making a Royal Flush on the FlopThe 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. This problem has been solved! You'll get a detailed solution from a subject matter expert that helps you learn core concepts. His answers: The odds of hitting a seven-card straight flush (including a wild one) are 1-in-676,066; the odds of getting five aces are 1-in-136,652. 04 =0. 006%. In a seven-card game like Omaha or Texas Hold’em, the odds of drawing a flush are much better. Probability of Royal Flush. Breaking down the odds further, this equates to 1/509, so one in every 509 hands will result in a flush. 005% on the Turn Round they increase and reach up to 4. 0002%: 1:649,739: The board allows for a royal flush: 1. For a traditional video poker game (9-6 Jacks or Better), you’ve got a 1 in 40,391 chance of hitting a royal. Sports; Slots; Casino. 3 × 1 0 − 8 1. "Straight" in poker is generally taken to exclude "straight flush" and royal flush" However, in the body of the question, you have written "5 numbers in a numerical sequence. Easy stuff. A STRAIGHT FLUSH All 5 cards are from the same suit and they form a straight (they may also be a royal flush). Find out about Odds in Pai Gow Poker. In a third version there is a separate pay for a suited blackjack as follows. 923825. 00016927: 150 to 1: Straight flush: 750-1: 0. The odds of hitting a Royal Flush in 7 card No Limit Hold 'em (the mode offered in game) is 30,939-1, so incredibly lucky for your 30th hand played! Congratulations :) yes everything is legit. 2 to a royal flush: Go for the straight flush; 2 9 J Q K — 3 to a straight flush (type 1) vs. Two numbers are. As to the odds, in a live game it's roughly one in a googol. Any paying hand (tens or better, three of a kind) Any three to a royal flush. At 800 hands per hour, it takes 50 hours for each royal, so that’s 3,000 hours for one sequential royal flush cycle. A royal flush is an exceptionally rare poker hand. Poker variation also affects your odds of landing a royal flush. In a five-card poker hand, the probability of getting a royal flush is about 1 in 649,740. So for pocket aces the chance is about 1 in 669 million. That's less than a 0. 3 to 1 for a 3 of a kind. For comparison, the odds of getting a royal flush are 0. 000154% probability of getting dealt a royal flush in any given hand. 48% of cases resolved, I see 53. 5319). Royal Flush ending hand. We can calculate the poker probability of making a straight flush as (36/2,598,960). Yes. Dividing the total possible hands by four – a dealt royal flush is one out of 649,740 possible hands. We passed this question off to the inimitable Michael Shackleford, a. 4 5 6 J Q — 3 to a straight flush (type 1) vs. I’ve had it once in 20 years and didn’t even get to get it all in which was more disappointing. To make matters more confusing, a reversible royal game may refer to a royal flush in either direction a. 000154% of the time, or once every 650,000 hands (odds against of 649,740:1 to be precise). You didn’t ask, but the chances at a royal on the initial deal are 1 in 649,740. Of those, 40 are straight flushes. The probability of getting zero royals in 3200 hands is (1-0. 6 million playable five-card hands in Texas Hold’em, and just four of those hands are royal flushes. 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%. Find out the probability of getting a royal flush in video poker today. 001980792317 - 0. Compare proper strategy in 9/6 Jacks or Better with 9/6 Double Double Bonus. The odds of obtaining a Royal Flush in Texas Hold’em are significantly lower than in Five-Card Draw, with a probability of 1 in 30,940. HAND PAYS; Royal Flush: 500 to 1:. 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. Compare this to the overall probability of the royal being 1 in 30,940. 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. An ace-high straight flush, commonly known as a royal flush, is the best possible hand in many variants of poker. The odds for a royal flush are 0. After your first, though, the royal after that has the same 1-in-48,048. The more rarely a hand occurs when you play poker, the higher it stands in the poker hand rankings. 00168067, the probability of a straight flush is 0. This side bet wins if the player had a pai gow, the lower the highest card, the more it pays. 97. Last week I wrote about the odds and probabilities of every five card poker hand. • 4 days ago. Thus, the odds of villain getting one over 100 hands are 1/309. 256% and finally reach the maximum to 4. The flush is simply 5 cards of any one suit, but not in sequential order. That's 2. 13. , five cards of the same suit). The 12 C 5 part accounts for the 5 spades and the 39 C 12 part accounts for the remaining 12 cards that are not spades. 4%) = 3. The less frequently occurring hands (such as Full Houses. Your odds of a royal flush are 0. 000154% chance that the next hand you play will be a royal flush. As the 2s significantly increase your chances of getting a winning hand, the game is also designed to have lower odds than other video poker types. Texas Holdem uses 7 cards to make the best five card hand. The odds of landing a royal flush in poker are the lowest. A "pai gow" in pai gow poker is a hand with seven singletons, where no straight or flush is possible. 00001540898529 The probability of a Royal Flush occurring is 0. This shows that players should not be going all out to get these, because. In Ultimate X mode any paying hand will both pay. A ♣ K ♣ Q ♣ J ♣ 10 ♣. Probability of a flush = Possible flushes :Statistics and Probability questions and answers; In the casino game of Video Poker, if you are dealt four cards to a royal flush then the probability of successfully drawing the fifth card is 1/47. 02% or 1 in 4,900. However, due to its specific card requirements and the limited number of possible combinations, the odds of obtaining a royal flush are incredibly slim. Quad aces + royal flush. Dividing by the number of possible hands gives the probability: or 1 in 649,740. 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). Overall, the probability of getting a flush (not including royal flush or straight flush) is 3. Your chances of hitting it are 0. 000001539. 00119788: 50 to 1: Four of a kind: 500-1: 0. Royal Match - Version 3. The order of the deal does not matter. In a 52-card deck there are only 4 possible royal flush combinations and they are all ranked equally. 1% chance to hit your flush on the turn. 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. With a royal flush, the player would win 1000 to 1 on three bets of $10, or a total of $30,000 on bets of $10. The Probability of a Royal Flush (fraction) constant defines the probability of drawing a Royal Flush and represent the probability as a fraction. Odds. In any event, don’t expect to be dealt a royal flush in your poker career. A royal flush is the highest-ranked hand in poker. Mississippi Stud is a popular poker-based table game by Scientific Games. The odds of hitting any five-card Royal Flush are one in 649,000, and according to wizardofodds. 9574 or. This crossword clue might have a different answer every time it appears on a new New York Times Puzzle, please read all the answers until you find the one that solves your clue. A secondary reasoning for this is because in video poker 4 of a kind made with the 4 actual cards pays out higher than 3 of a kind with a wild. Currently the unresolved cases are breaking towards the royal at a rate of 22. Think of it like this; it’s like a race between a Lamborghini and a Ferrari. Your odds of a royal flush are 0. 0032% Edit: Obviously I have to clarify. 96 is 2. Fact-3) Odds that you will lose to royal flush = 88/nchoosek(48,5)= 1/19458 Fact-4) Adding other 116 possible straight flushes, Odds that you lose = (88+116)/nchoosek(48,5) = 1/8393. 999169. This means that it will occur, on average, once in every 649,740 hands. The odds of hitting a royal flush directly are only 1 in 649,739. Let‘s geek out on the math! The probability of a royal flush is derived from combinatorics. So, you should hit a royal flush every 650,000 hands that you. I saw the All 6 side bet at The Point casino in Washington on July 21, 2023. In a standard 5-card poker hand for 1 deck: Calculate P(Royal Flush) Royal Flush Hands. The program is about 600 lines of code and takes about six hours to run. There are many different odds and combinations that you can make with a royal. Therefore, video poker seems like it would be subject to fewer myths than slot machines. It's currently around $125,000. Poker-hand rankings: from strongest to weakest. In comparison to the 1 in millions chance of hitting the Megabucks jackpot, a royal flush doesn’t look that out of reach. So, not very high at all. However, the odds and payouts on video poker are better than a lot of other casino games. . On the 20/7/5 Joker Wild, you will hit every 38 614. straight (including a straight flush and a royal flush) g. Of those hands, only four are Royal Flushes. 001965 ≈ 1 509 5108 2, 598, 960 = 0. Therefore, the chance of hitting the royal flush when you hold a four-card royal flush and draw one card, is 1 in 47. full house e. These two penalty cards degrade the value of the suited 10 and king to below that of keeping the king only. 4%) = 3. 38815913) 3 to a straight flush, spread 5 and suited 346,356 2,3,4 (0. If the board has, say, 33337, then anyone with a card higher than the 7 can pay that as their fifth card, and the highest one wins (likely 2 or 3 will split the pot with an ace). 3 imes 10^{-8} 1. For more on odds, including the. 41% ending in bust. 0032%. Five cards of consecutive rank, all of the same suit. 82%. 00139% chance of making a straight flush from five random cards, or 72,192-to-1 odds against. The odds of hitting a royal flush are 649,739-1, while the next best hand, a straight flush, has odds of 72,192-1. " Taking this to be your intention, i. three of aDefying the Odds: The Rarity of the Royal Flush. 00027851. Odds Of Making Royal Flush Texas Holdem; Royal Flush Odds Texas Hold'em; Odds of a royal flush in texas holdem: 46791: 929922414: odds of a royal flush in texas holdem: $71. Llama123454321 • 5 yr. 0256%. Poker's best hand is a royal flush, which consists of an Ace, King, Queen, Jack, and Ten of the same suit. It can be formed 4 ways (one for each suit),. If you drew five random cards from a 52-card deck, you’d have an 0. Poker 4 aces vs royal flush, is sports gambling real, casino sharm sheikh,. Odds of Making a Royal Flush on the Flop. In high. So the final probability is 21620/936491920, or 1 in 43316. xdan. That's equivalent to throwing a quarter and having land on heads about 50 times in a row. . So the odds of both happening in one round are (649739 * 4164) = 3,954,713,196 : 1, or 0. 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. Here's a tricky one: You should hold the three-card royal; drop the king and 4. (What they can do is change the payout. 000,001,539 (4/2,598,960) What are the odds of a Straight Flush? 0. It is very difficult to get a royal flush because of the requirements. Both cars are fast and impressive, but the Ferrari. The harder it is to get a specific combination of cards, the higher it is ranked in regard to hand strength. On average, a straight flush is dealt one time in every 64,974 deals. 33% outcome means the pot odds calculation depends on how high your flush is. If anyone is interested in how to calculate the odds of completing a royal flush with one card saved, here is how it works. 5 million drawn poker hands, only 4 of them equals to a royal flush. Find the probability of a (a) royal flush (ten, jack, queen, king, ace in a single suit). The odds of being dealt a royal flush are the same for all of these games --- slightly better than 650,000 to 1. 00000153907 which is computed as 4 possible royal flush hands divided by 52C5 total cases as you pointed out. 1 / 423. Odds of not catching the open-ended Royal Flush on the turn or river = 45/47 * 44/46 = 0. There are many ways to play poker. The probability of getting a Royal Flush is 0. Bet 1X when: Your three cards are suited. This equates to an overall probability of 0. There aren't any difference in odds. To make a royal flush, you need a very lucky hand. Assuming you are the first Player being dealt out, the odds are 0. Leonard shared a picture of his flopped royal flush on X. 000154%. For hands that have four ways to flop a straight flush (suited connectors 54 through JT), you have an 0. 000154% of the time, or once every 650,000 hands (odds against of 649,740:1 to be precise). 000,015,39 (40/2,598,960) Use the table below to calculate the probabilities of all poker. Odds of hitting a royal are roughly 650000-1 Hitting them twice in a certain amount of times is a bit lower of course. We would like to show you a description here but the site won’t allow us. 0000) 4 to a straight flush (3. The odds of being dealt the Straight Flush on the flop is only the tip of the iceberg. (1/30940) 3 = 1 / 2. It got me wondering what the odds of a flopped royal flush. It may be used as an ace, or to complete a straight, flush, or straight flush, or royal flush. The probability of being dealt a royal straight flush(ace, king, queen, jack, and ten of same suit is about $$1. Sorted by: 2. IF YOU MEAN TO EXCLUDE ROYAL FLUSHES, SUBTRACT 4 (SEE THE NEXT TYPE OF HAND): the number of hands would then be. The royal flush is the strongest hand you can get in poker. All the comments so far are wrong. What are the odds of getting a royal flush? Hitting a royal flush is even harder than a straight flush. The chances are much lower that more that one person gets a royal flush, though. 35%. To use the strategy, look up all of the reasonable ways to play a hand, and choose the play that is highest on the list. 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. 00000047: 7 card. Because players going all-in for a flush draw after the flop usually have near the nuts, this 3. Odds of Drawing to a Royal Flush in Video PokerThe odds and probabilities involved in video poker are as important in any table game. 34042552) 2 to a royal flush, queen highest 5 (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. The probability that the seventh card will be part of the royal flush is 5/7. They are ranked by high card, from Ace-High (AKQJT) down to five-high (5432A). 000001539. 4 to an inside straight with 3-4 high cards: Go for the royalA royal flush pays 1000 to 1. A Royal Flush is 1 specific straight flush and there are 4 different ways in can occur, one for each suit. 00323% in Texas Holdem. You have a double gut-shot draw with two cards valued at two points. Even the most diehard poker players can go their entire lives without getting one. But the odds of hitting a royal flush depend on the strategy you use. 000031: Straight flush: Q-8: 4,140: 0. There are nearly 2. I believe i have 2 ways to calculate this Option 1 : i do the math like above , and end up with a 0. Limits & Rake The Odds of Flopping, Drawing, Making a Royal Flush! The odds of flopping a royal flush given two suited broadways → 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. 3 of a Kind: 1 in 19. The odds of making a pair of tens or better are 1 in 6. When we speak of odds in probability it has a very specific meaning. A royal flush is actually the best possible version of a straight flush. ) The bottom line is as long as the pay schedule is the same for a particular video poker. The Royal Flush odds do get better depending on the game you play. Royal Flush 500 to 1 Straight Flush 50 to 1 Four of a Kind 10 to 1 Full House 3 to 1 Flush 3 to 2 Straight 1 to 1 All other Push are the typical payouts on the blind that being said its supposed to be like 2. Something like: Pick 7 out of 52, match 5 (first two PLUS any three of next 5) link to original post. e. The probability of being dealt a straight flush is 0. Need the odds of getting a royal flush, in No Limit Hold'm, using BOTH hole cards. One out of 60 royal flushes is sequential. Rounded to the nearest tenth of a percent, 9/47 = 19. Rules. A royal flush is the hardest hand to make in standard real money Texas Hold’em games. 1% chance to hit your flush on the turn. Incidentally, the chances of getting a royal flush in 7-Card Stud are the same as in Hold ‘Em. One of the most celebrated hands in poker is the Royal Flush. The odds of hitting a Royal Flush would be 4 in 2,598,960 attempts. Full House, Four of a Kind, Straight Flush and Royal Flush. Full House: 1 in 35. So while this combination is extremely rare, it is still possible to hit it by getting very lucky. Statistics and Probability; Statistics and Probability questions and answers; What is the denominator of the reduced fraction representing the probability of being dealt a royal flush in five-card, no-draw poker?Also, although the type of suited hand does not affect the odds of making a Flush, it will affect the odds of making a Flush or better.