Relevant Resources. The probability of not getting a royal flush within the first 96 draws to 4 to a royal is 13%. 001965401545. 9/6 Double Double Bonus. A "pai gow" in pai gow poker is a hand with seven singletons, where no straight or flush is possible. 00001539077169. The chances of 3 to a royal on the deal are 1/92. 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. A hand so rare most poker players will remember every single one they are dealt for their entire life. Each hand has a rank, which is compared against the ranks of other hands participating in the showdown to decide who wins the pot. 0032%, with the odds against making a royal flush at 30,939-to-1. The payout rates and the true odds are two completely different beasts. He doesn’t. The odds for a royal flush are 0. The general odds of making a Royal Flush with all 7 cards in play (2 hole cards and 5 community cards) are approximately 1 in 30,940 in a game of Texas Hold. Just go to the cage and ask em about it. There are only 3 types of hands that are playable - Straight, Flush, Straight Flush. In 9-6 Jacks or Better, your royal chances are about 1 in 40,391, while in 9-6 Double Double Bonus Poker they're 1 in 40,799 and in 9-7-5. Naturally, a nine-high straight flush would. 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. So, ÷1081 for each of the two hands, = 1 in 3,594,493,636. These numbers are ON AVERAGE and vary based on the game you play, but are good benchmarks with which to set your expectations as you play: Jackpot Frequencies. The odds of flopping a straight flush with a suited connector are 1 : 4,899 or 0. The latest puzzle is: NYT 11/09/23. 000,015,39 (40/2,598,960) Use the table below to calculate the probabilities of all poker. What are the odds of getting a royal flush? Hitting a royal flush is even harder than a straight flush. That means that on average you’ll see a royal flush every 40,391 hands. Then, against all odds, he hit another royal flush 20 minutes later in another tournament! 2 Royal Flushes Hit In 20 Minutes. The odds of this happening are 1:508, so a little less likely than the full house. I've had two royal flushes in live play. 0000000060747, or about 1 in 165 million. The odds for getting a specific royal flush in 5-card poker would be 1 in. three of aDefying the Odds: The Rarity of the Royal Flush. 00119909. 41% ending in bust. The odds of hitting a flush draw on the turn are 4. In a third version there is a separate pay for a suited blackjack as follows. 000154% chance that the next hand you play will be a royal flush. Calculating the odds of making a hand in Texas Hold’em requires a bit of a different formula, as the object of the game is to make the best possible five-card hand out of seven. The following table shows the probability and return for each possible event under the Mousseau strategy. Straight Flush or Royal Flush: 1 in 729. The odds of a random hand winning with a royal flush (not counting ties) is exactly one in 32487, 20 times more likely than the figure you provide. 4 to an inside straight with 3-4 high cards: Go for the royalA royal flush pays 1000 to 1. The lower right cell shows a house edge of 2. 6 million playable five-card hands in Texas Hold’em, and just four of those hands are royal flushes. There are nearly 2. 0000) 4 to a straight flush (3. A royal flush is the most-coveted video poker hand because it pays 4,000 coins on a 5-coin max bet. Royal Flush Probability: 0. Same with a Royal, or if the board is quads with an ace. Except the sub is named for a quote from a movie in which "Never tell me the odds" is said after having been told the odds. 4 ( 9 5) ( 52 5) = 3 15, 470. 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. 1, or a 19. 7 billion. Any paying hand (tens or better, three of a kind) Any three to a royal flush. The probability of a royal flush is 0. Question: 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? Show transcribed image text. 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. In Texas Hold'em, there are a total of 2,598,960 different five card poker hands. . 000154%. It just so happens that we also refer to an ace-high straight flush as a royal flush. A royal flush is an exceptionally rare poker hand. The other ten cards are placed back in the deck. Search for crossword clues found in the Daily Celebrity, NY Times, Daily Mirror, Telegraph and major publications. 00000153907 which is computed as 4 possible royal flush hands divided by 52C5 total cases as you pointed out. The diamond flush poker hand combination consists of the royal flush but with all diamonds. 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. but what happens when you change the flush payout to 2/1The chances of being dealt a royal flush are 4 out of 2,598,960, or 1 out of 649,740. 2 to a royal flush, jack highest 1 (0. 0000000032064107694360 or 1 in 311,785,200 hands. Similarly, your chances go down when you have only 2 cards that are part of a royal flush. The top prize is a royal flush, which pays out 250x. This calculation is based on the fact that there are four possible royal flush hands and 2,598,960 possible total 5-card hands. 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. No small feat, obviously. Case 1: 9 is on the board. Leonard shared a picture of his flopped royal flush on X. 96 is 2. I’ve had it once in 20 years and didn’t even get to get it all in which was more disappointing. 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. Your chances of a royal flush on the deal are 1 in 649,740. The odds against drawing a royal flush are 649,739-to-1. 6-to-1. Feb 4, 2020 at 20:37 $egingroup$ For b, I am asking that just the second player gets a royal flush and the first player gets anything $endgroup$Alex Hemstry in 1994, at the table of one of the casinos in Las Vegas, 2 times in a row collected a royal flash. The last community card is either the 9 or you have it as a pocket card. Preflop, you’ve got a 0. The Royal Flush is the rarest hand in Texas Hold’em Poker. Flush: 1 in 23. I have played a few games in a real casino setting that used one or two "bugs". From a pair to a royal straight flush! The ordered ranking of all possible poker hands along with each hand's probability, some examples, and a cheat sheet. In comparison to the 1 in millions chance of hitting the Megabucks jackpot, a royal flush doesn’t look that out of reach. thatguy6793 Legend. Like most gamblers, you’re probably wise enough to know that getting a Royal Flush while playing video poker is really difficult. 000020; Payout: 4000 coins; Joker Poker games all have one thing in common that sets them apart from other video poker variants – the presence of the joker card. 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. 4 million-to-1. 1% chance to hit your flush on the turn. 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. Odds of a Royal Flush with All 7 Cards in Texas Hold’em. Royal Flush dealt. However, when you’ve got TJxx double-suited (Ten-Jack plus two cards of any kind), the odds go to 0. So the actual probability to make a Royal Flush in Texas Holdem is. A STRAIGHT FLUSH All 5 cards are from the same suit and they form a straight (they may also be a royal flush). The odds of this are the same as getting dealt a royal flush in 5 card stud:Grade 12 Math: Probability How many Royal Flushes or Straight Flushes are there in a 52 card deck?Let's find out!?0:00 Royal Flush2:24 Straight FlushIf this. 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. 9792%. To make. 6 million playable five-card hands in Texas Hold’em, and just four of those hands are royal flushes. 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. A very good approximate formula for the probability of not getting a royal in a particular number of cycles, N, is: P = e -N. 37%. 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. The probability of hitting a royal flush. 1% chance to hit your flush on the turn. Probability of a royal flush vs. Royal flush: 6,000-1: 0. Number of Outcomes Favorable Only to Event E Event E Royal flush Straight flush Four of a kind Full house Flush Straight Three of. Your odds of getting a royal flush are around 40,000:1. 00016927: 150 to 1: Straight flush: 750-1: 0. The odds of that happening are 1-in-650,000. 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. 1 Answer. 5 Aces: 1 in 142,856. Report inappropriate content . So my ranking would be as follows: Royal flush - made without wild cards. 000,015,39 (40/2,598,960) Use the table below to calculate the probabilities of all poker. four of a kind d. 000154%. To make matters more confusing, a reversible royal game may refer to a royal flush in either direction a "sequential. To work out the poker probability of flush draws, we shall use the following calculation: 5108/2,598,560. There are 2,598,960 possible five-card hands you can be dealt. Using the binomial distribution formula, the chances of that happening twice over 10 hands is 1/3076. It consists of straight flush, which is a same-suited sequentially arranaged of cards, with the Ace high card. These statistics also vary between video poker types and depend on some other factors that we’ll get into below. 5 to 1 for a straight. 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. the odds of a royal flush being dealt in a 7 card hold 'em hand is 1 in 30,939 the odds of two 1-in-30,939 events happening are 1 in 957,221,721 HCL should have played the powerball, it could have won it three times over comments sorted by Best Top New Controversial Q&A Add a Comment [deleted] • Additional comment actions. Achieving that is tough, but it’s incredibly difficult to achieve with all hearts — as Hugh Millar did. P(Royal Flush) = 4 * 47c2 / 52c7 = 1/30940. Currently the unresolved cases are breaking towards the royal at a rate of 22. 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. Examples of Full HousesMy local casino has a jackpot for hitting a royal flush on the flop in a cash game. 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. 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. 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. 000154%, a straight 0. Four-of-a-kind beats all other hands, like a full house or three-of-a-kind. 04=96/47) So, the probability is: e -2. It indeed is, I've played around 230,000 hands in-game and have only made one Royal Flush. The odds of landing a royal flush in poker are the lowest. 256% and finally reach the maximum to 4. If the board were, say, a K-high straight flush, a player with the ace in his hand would win with a royal. Royal Match pays 25 to 1;. 97. All the comments so far are wrong. 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. 2 million. 5%. Poker's best hand is a royal flush, which consists of an Ace, King, Queen, Jack, and Ten of the same suit. Because there are 7 cards, the odds go way down:royal flush if it were the card above the king. The royal flush stands as the best hand possible in the rankings, while the high card hand ranks as the weakest. Just to put that in perspective: the odds of getting hit by lightning are 1 in 700,000 while the odds of getting dealt a Royal Flush are 1 in 649,740. 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. Four-of-a-kind odds. There are nearly 2. Full House, Four of a Kind, Straight Flush and Royal Flush. If the flop is favorable and you’ve got an open-ended royal flush draw (i. In any event, don’t expect to be dealt a royal flush in your poker career. (1/30940) 3 = 1 / 2. This rarity is part of what makes the royal flush so special and sought-after. Last week I wrote about the odds and probabilities of every five card poker hand. This particular clue was most recently spotted in the 16th October 2023 edition of the NYT Crossword. 25 bet. some casinos will pay less than 4,000 coins for a royal flush; therefore, always check to be sure that the payout for a five-coin royal flush is 4000 coins. 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 suit in a standard deck. Regarding the lottery example, a one in 29,000,000 chance of winning is really quite high. # 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. 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. As to the odds, in a live game it's roughly one in a googol. With 99. 5 million drawn poker hands, only 4 of them equals to a royal flush. So - the odds of hitting a royal flush would be 4/2,598,960, which would work out to 1/649,740. Quad aces + royal flush. Your chances of eventually making the flush go down with each new card that does not "hit" the flush. There are many ways to play poker. 000154% chance that the next hand you play will be a royal flush. royal flush b. The ability to draw cards to improve you hand has a significant effect on your chances to hit winning hands. 33% outcome means the pot odds calculation depends on how high your flush is. . Failing to make the five coins max bet means that you’re missing out on around 75% of the max royal flush payout (1k vs. For example if the player had 3 to a royal and 4 to a flush the correct play is to keep three to the royal, discarding the fourth suited card. So, you should hit a royal flush every 650,000 hands that you. 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. If more than one player has a flush card on him, then the player with the highest straight decides the winner. 0002%: 1:649,739: The board allows for a royal flush: 1. Yes. 2 A poker hand is a set of 5 cards randomly chosen from a deck of 52 cards. 46. It's worth mentioning that there is an additional (19. The odds of being dealt a royal flush under the conditions you stipulate are 1 in 649,740. Therefore, the probability of being dealt a straight flush (P. Deuces Royal Flush — Same as the Royal Flush, but with one card being a deuce; Four Deuces — Four deuces; Natural Royal Flush — a 10, Jack, Queen, King, and Ace of the same suit; Deuces Wild Odds. So, not very high at all. 0032%, with the odds against making a royal flush at 30,939-to-1. Calculate Total 5 Card hands Choose 5 cards from 52 cards. With your example, you just multiply 48,048 X 48,048 and the odds of hitting back-to-back royals are 2,308,610,304 to 1. 0000154%. With only four total ways to make a royal flush, this hand represents the rarest possible made hand in poker. This is because there is only a 0. In a seven-card game such as Hold’em, or seven-card stud, you will hit the royal flush 1 time for every 30 940 hands. The first sequential royal flush was hit on a Reversible Royals slot machine at Red Rock hotel-casino about 5:30 p. 4% * 17. To find the odds, we divide the number of Royal Flush possibilities (4) by the number of poker hands (2,598,960). Our table notes the chances of what to expect in terms of being dealt a royal flush of the same suit from a 52-card deck are: The probability of being dealt a royal flush can be calculated by dividing the number of royal flushes by the total number of poker hands. Three suited cards in a row except 2-3-4, and ace-2-3. Odds of getting a Flush Probability of getting a Flush; 1,277: 5,108:. Odds of making a Flush. The probability of just a case 1 bad beat is 1 in 439 million. There are 21 ways to choose 7 cards from 2, so 1 of every 21 royal flushes will be board royals if a. Mississippi Stud Pay Table. This is because in a standard 52-card deck there are 3,744 combinations that make a full house out of a total of 2,598,960 possible hands. Royal flush - using wild cards. We would like to show you a description here but the site won’t allow us. 00000047: 7 card. For more on odds, including the probability of winning any given hand on the. 8% house edge with basic strategy. Royal straight flush 4,324 0. 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. (36 straight . When holding two suited cards between Ten and Ace, the. Specifically, we will compute the probability of being dealt a royal flush. Full House: 1 in 35. If you don't, the odds of flopping a royal flush are 0% because it just isn't possible. What is the probability that she is never dealt a royal straight flush dealt? b. So many comments for the real odds, Idk what is correct. It just so happens that we also refer to an ace-high straight flush as a royal flush. A straight flush can be any five cards in order, such as A-2-3-4-5 or 3-4-5-6-7. 005% on the Turn Round they increase and reach up to 4. 00000732: 7 card Straight Flush: 800,000-1: 0. In a standard 5-card poker game, the odds of being dealt a Royal Flush are exactly 1 in 649,740. But this isn’t the case, because video poker is still filled with common misbeliefs. Her friends describe her as the funnest person they've ever met. The chances of picking up a royal flush are 1 in 30,940 hands or 0. The following table lists, for each hand, the number and probability of a given hand. Limits & Rake The Odds of Flopping, Drawing, Making a Royal Flush! The odds of flopping a royal flush given two suited broadways → 0. Send your slot and video poker questions to John Robison, Slot Expert, at slotexpert@comcast. The odds of a royal flush defeating a full house are too small to even consider measuring. 00016953 Other straight flush 184,832 0. 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. The royal flush odds you learned from Hold’Em work pretty much the same way in Omaha and Omaha Hi-Lo. From here, the odds of a royal flush are 649,739 : 1, the odds of four of a kind are 4,164 : 1. In fact, your odds of getting other 3 royal flush cards are 1 in 16,200. SUBSCRIBE MENU. 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. The odds of being dealt a Royal Flush on the flop in a random 5-card hand are 1 in 649,740. Question: 4. Every poker player strives to be dealt a royal flush when they hit the tables. 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. 001980792317 - 0. , anything between a 10 and an Ace. But notice I said "average," meaning you could hit more than one royal or even no royals. The board shows a royal flush: 0. This is how Texas Hold’em odds are calculated. Five-Card Stud (Natural) Probabilities Hand Number Probability Straight Flush 2 40 0. Therefore, the probability of dealing a royal flush is: Prob = 4 / 2,598,960 = 0. 015%), two-way (0. 000154% according to Upswing Poker . Easy stuff. Sports; Slots; Casino. In a standard 52-card deck there are: 4 suits (spades, hearts, diamonds,. 00198. 01%), and one-way straight flush hands (0. The probability of being dealt a royal flush can be calculated based on the number of royal flushes divided by the total number of poker hands. Before somebody mentions it, this assumes that each hand is dealt from a separate deck. 44% and then you double the flop odds for a total of 1 / 1,951,025. With four cards you should only "let it ride" if you have: So, the odds of one specific player flopping a royal flush would be 4-in-2598960, or 1-in-649740. 8USD: 3: texas holdem preflop strategy: 58475: 62431423: texas holdem preflop. Odds of getting Royal Flush in video poker. 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. c. There are just four ways to make a royal flush (one in each suit). Answers for like the odds of being dealt a royal flush crossword clue, 5 letters. 4- heart 3- heart 2- heart a is a straight flush, but its top card is the five, not the ace. In a standard 5-card poker hand for 1 deck: Calculate P(Royal Flush) Royal Flush 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 general odds of making a Royal Flush with all 7 cards in play (2 hole cards and 5 community cards) are approximately 1 in 30,940 in a game of Texas. Now, it should be clearer why there are so many thrills around the possibility of holding Royal Flush during any Poker game. We can calculate the poker probability of making a straight flush as (36/2,598,960). The Royal Flush Hand in Poker. This equates to an overall probability of 0. Let’s return to individual poker hands once more, namely to the single best poker hand -- the royal flush. There are four ways to do this. Witnessing a royal flush over 2500 hands at a full ring table: 49. A royal flush is an ace, king, queen, jack and 10. 4%) = 3. It is also possible for a Flush to lose to another Flush hand. It is very difficult to get a royal flush because of the requirements. 34042552) 2 to a royal flush, queen highest 5 (0. How large must n be to render the probability of having no royal flush in n hands smaller than 1/e? My answer is: since this is for one success, use a geometric distribution instead of a negative binomial. Probability of getting a hand that has 5 cards of the same suit (flush, straight flush, royal flush) =5148/2598960~=. ago. Hence, the chance of being dealt a Royal Flush is only 4/2,598,960 or 0. $endgroup$ – SlipEternal. The royal flush is the strongest hand you can get in poker. Today's puzzle is listed on our homepage along with all the possible crossword clue solutions. IF YOU MEAN TO EXCLUDE ROYAL FLUSHES, SUBTRACT 4 (SEE THE NEXT TYPE OF HAND): the number of hands would then be. If you start off with two of the cards needed as your hole cards, your odds instantly increase to 1:30,940 or a 0. Royal flush: 6,000-1: 0. If 7 cards are dealt at random from a standard deck of 52 cards, determine the probability of getting a (a) Royal flush in spades. Our best advice is to follow a strategy and play. A 5-card poker hand is dealt from a well shuffled regular 52-card playing card deck. The probability of a royal flush in a poker hand is p = 1/649,740. Flush. 001965401545. 0000153908. Four of a kind. The odds of hitting a straight draw on the turn are 4. After your first, though, the royal after that has the same 1-in-48,048. 50 to 1 for a 4 of a kind. The above is true for 5 card poker, but not true for Holdem. In Ultimate X mode any paying hand will both pay. 04 =0. 000154% (649,739-to-1. Electrical Engineering. The odds of being dealt a Royal Flush on the flop in a random 5-card hand are 1 in 649,740. The probability that one hand is a royal flush is 0. Royal Flush Probability: 0. 7 card stud is a classic poker game where the chances of getting a royal flush are 1 in 30,940 hands. Therefore, according to the math, after 1,299,480 hands there should be two royal flushes. It's the rarest and most coveted hand in the game, and it can earn you a hefty payout if you're lucky enough to get it. All of a,b,c are 4/2598960=0. However, because of variation you could easily hit a royal flush. The probability of being dealt a royal straight flush(ace, king, queen, jack, and ten of same suit is about $$1. 3 imes 10^{-8} 1. Probability of getting a Straight. Joker Wild – expect to hit a royal flush every 41 214 when you play the 20/7/5 Joker Wild. 39 The odds of this happening exactly twice are: (30,938/30,939) 98 x (1/30,939) 2 x C (100,2) =. The odds against drawing a royal flush are 649,739-to-1. Can someone explain the difference in odds. Here is the information the is needed The probability of a Straight Flush occurring is 0. 000154% of the time, or once every 650,000 hands (odds against of 649,740:1 to be precise). 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. The only hands which can beat a full house are four of a kind, straight flush or royal flush. Overall, the probability of getting a flush (not including royal flush or straight flush) is 3. Any paying hand (tens or better, three of a kind) Any three to a royal flush. The simple reason the odds are not as long as reported in that video is that the two hands overlap, with the shared ace. The latest puzzle is: NYT 11/20/23. To find the odds, we divide the number of Royal Flush possibilities (4) by the number of poker hands (2,598,960). So we want n n such that. If you find the right answer and can somehow confirm it, it'd be nice if you edited the post to show it. If you draw five cards randomly from a 52-card deck, the probability of making a royal flush is 0. You didn’t ask, but the chances at a royal on the initial deal are 1 in 649,740. Yet the payout for such an incredible feat is merely 1,000 to 1. The probability of getting a Royal Flush on video poker is better said than done. 4%, respectively. Casinos can’t change the odds of hitting a royal flush. 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. of Hands Probability-----5 Aces 1,128 0. Clearly, P(R) = 4 (525). When we speak of odds in probability it has a very specific meaning. The following chart shows six hands that should be played differently between the two. = 40 / 2,598,960 = 0. 35%. The game is an optional feature to 3-play, 5-play, and 10-play video poker. The expected value will be calculated of each, and the player is given the best one as his hand on the deal. dystopianview • 5 yr. This calculation yields the odds of approximately 1 in 649,740. 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. The royal flush is a case of the straight flush. When you play a basic video poker game with 52 cards, the odds of getting a Royal Flush during the initial draw are 1 in. 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. 00015 percent (or 1 chance in 649,740). The thrill of hitting a royal flush in poker is undeniable. vp03. There are 2,598,960 unique poker hands. You have three consecutive cards in a straight flush draw of 5-6-7 or better. However, the odds of getting a straight flush are 0. Question: Find the probability of getting a royal flush poker hand when 5 cards are dealt from an ordinary deck. We passed this question off to the inimitable Michael Shackleford, a.