Royal straight flush 4,324 0. Find out the formula, the number of possible poker hands, and the rareness of this hand. Both royal flush and pair of aces must be natural (no joker) for highest win. 97. 03025494 Ace high straight 747,980 0. Odds of a Royal Flush. They ignore the manner in which you split your cards. Electrical Engineering questions and answers. Introduction. Royal flush odds in video poker depend on the game variant you’re playing, the number of cards in the deck, and whether or not you’re playing with optimal strategy. Using the strategy on a full pay machine will result in an expected return of 99. The royal flush odds you learned from Hold’Em work pretty much the same way in Omaha and Omaha Hi-Lo. But since you can draw one time your odds increase. The odds of a royal flush in Texas Holdem is 1 in 30,940. Backdoor draws for your royal flush will only entitle you to the blinds' payout of 500:1. That's less than a 0. 819% respectively. Below we have listed the likeliness of hitting a royal flush and the different video poker variations using a good strategy. 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. . The order of the deal does not matter. The Royal Flush odds do get better depending on the game you play. 03%, or one total bet every 3,805 hands. Getting a royal flush is the hardest hand to obtain when playing poker online or in a casino. New players should note that the term ‘house edge’ is rarely used these days. Examples of Full Houses The Odds of getting royal flush. 6) = 227. " Standard poker ranking rules are followed with one strange exception — the A2345. 0. It can be formed 4 ways (one for each suit), giving it a probability of 0. Poker variation also affects your odds of landing a royal flush. 6 million of that occurring. The probability of forming a Royal Flush is quite low, with odds of 1 in 649,740 for a single player in a game. Tips on Playing Pai Gow Poker. 0032% in Texas Hold’em, with the odds against making a royal flush at 30,939-to-1. With optimal strategy, the expected return of 10/6 Double Double Bonus is 100. And like the very best online poker rooms, we offer so much more than Texas Hold’em. 36. The trouble is, the odds of getting that perfect poker hand is often a lot lower than you might think. The odds of flopping a straight flush with a premium suited connector such as T9s is 0. After your first, though, the royal after that has the same 1-in-48,048. A wheel straight, e. Then, three Royal Flushes in a row is. This hand comprises five cards of the same suit in a consecutive sequence, like 10, 9, 8, 7, and 6. 1 in 72,193. He doesn’t. 4 million-to-1. The odds against making a royal flush are 649,739-to-1. 1 / 360” means there’s a one in 360 chance of getting that four of a kind. A 4 of a kind only occurs once per 4,165 hands, and a straight flush will appear 1 out of 72,193 hands. Every video poker game uses a standard 52-card deck that is shuffled by a random number generator. e. Welcome to poker variant with the enticing paytable and optimal strategy return of 98. Jacks or Better – you will hit on average every 40 390 hands. For example, A♥J♥7♥5♥2♥ is an ace-high flush in hearts. Your odds of being dealt a royal are one in almost two-thirds of a million hands! Fortunately, you don’t need to be dealt a royal to cash in on a royal – you can discard some of cards that are dealt and have the discards replaced by new. 543% whereas when placing a one to four credit bet it is 98. 52%. odds 1:1 000 000. 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. Odds Of Being Dealt A Royal Flush In Texas Holdem; Chances Of Hitting A Royal Flush In Texas Holdem; There is only possibility of one royal flush occurring in any one round. 01E-12 = 1. The 30 players playing Omaha at the time of the jackpot all received $1,399. 2nd Shot — Two player hole cards and second community card. 624 different ways of being dealt 4 of a kind. The ranking is based. Texas Holdem uses 7 cards to make the best five card hand. Probability. It isn't like you actually have to recognize royal flush odds of yours through heart, however it is an exciting thing for contemplating which you've an estimated 0. There are separate line items for a six-card royal flush and six-card royal flush in diamonds. It can be formed 4 ways (one for each suit), giving it a probability of 0. 5 to 1 for a straight. 9574 or. Straights are actually very weak hands in Royal Hold’em. 3%. SB minraised my BB of AcJc, flopped a flush, turned the royal, made a bet and he folded. In this detailed guide. 1 / 85. The odds against making a royal flush are 649,739-to-1. The other ten cards are placed back in the deck. Following is my intermediate strategy. Dream Card Poker is the same thing as conventional Draw Poker with Dream Card, with two main differences: There are three hands dealt behind the scenes from three separate decks. In the Turn round, it is 4. 3%. 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. 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. Leonard shared a picture of his flopped royal flush on X. So the probability of at least one royal in 9 hands is 1-0. 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). 1 / 72,192. 80; 4 of a Kind: 1 in 500. 000831. Royal Flush - Ace, King, Queen, Jack, 10 all of the same suit Odds Royal Flush( ) ≈ ( ) 52,5 P Royal Flush C = ( ) 2,598,960 P Royal Flush = 4 ≈ 0. If two players are found to. So 32 different seven-card straight flushes are possible. It features five consecutive cards, all of the same suit, in order of value. 8 4 votes. The odds of hitting any five-card Royal Flush are one in 649,000, and according to wizardofodds. They don’t need to be sequential in value, so something like a jack, seven, five, king, and nine of spades would qualify. A "pai gow" in pai gow poker is a hand with seven singletons, where no straight or flush is possible. A royal flush is the strongest hand you can make in poker, with all five cards of matching suits. If the player declines the Ultimate X option, the game will play like conventional multi-play video poker. However, due to its specific card requirements and the limited number of possible combinations, the odds of obtaining a royal flush are incredibly slim. If the player opts to chase the royal then the other two cards will be dealt immediatly from the remaining 49 cards in the deck. There are only 4 combinations for this hand, and the probability is 0. In the games with jokers, the hand that consists of 4 cards of the same rank and the joker can be beaten only by the royal flush without joker. 000154% chance of making poker's ultimate hand. Examples of royal flush hands include T♠J♠ Q♠K♠A♠ and T♥ J♥ Q♥ K♥A♥. Things get a bit more complicated if you want to allow for drawing. Want to see a Royal Flush in a $612,000 pot ? Note: Want 10 quick tips that will help you win at poker?In straight poker and five-card draw, where there are no hole cards, players are simply dealt five cards from a deck of 52. 0000153908. The royal flush is a case of the straight flush. To put these odds into perspective, you're more likely to be struck by lightning, win an Olympic gold medal, or even become a millionaire than to be dealt a royal flush in a single hand of poker. 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. and the 6 of clubs (lowering the odds of forming a flush). Limits & Rake The Odds of Flopping, Drawing, Making a Royal Flush! The odds of flopping a royal flush given two suited broadways → 0. 11 to 1 for a full house. I've had 1 online, and barely made money on it. If two players both have a flush, then the flush containing the highest value card is the winning poker hand. 961472. A List of Long-Shot texas holdem probability royal flush Odds in Texas Holdem 600 × 405 - 51k - jpg shutterstock. Pick the poker variation you're playing in the top drop-down menu and the number of players in the hand (you can add in up to five players). 3rd Shot — Two player hole cards and third community card. Standard poker ranking rules are followed with one strange exception — the A2345 straight (known as "the wheel") is considered the second highest straight. A royal flush consists of the Ace, King, Queen, Jack, and Ten, all of the same suit. It is highly unlikely that you get a chance to flop this highest-hand rank. 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. Royal flushes are unbeatable and extremely rare. Payouts depend on low cards (1-10) and high cards (Ace, Jack, Queen, King) making up your five-card hand. With an Open-Ended Royal Flush Draw on the Turn Card . These two penalty cards degrade the value of the suited 10 and king to below that of keeping the king only. Full expected value table. What are the odds of winning 3-card. 2 to a royal flush, jack highest 1 (0. 5 to 1 for a straight. In this game, players are dealt 7 cards throughout the. This is the strongest possible hand in poker and can never be beaten. The return rate when placing five credit bets is 99. 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) = 4The odds of winning the Mega Millions jackpot is 1 in 302. There are nearly 2. Be aware that the odds and payouts I have listed below assume two things: that you are playing with a 52-card deck with optimal strategy, and that you’re betting five coins. 6/5. 00027851. I saw someone lose with full house to flush all ins. These statistics also vary between video poker types and depend on some other factors that we’ll get into below. Odds of Drawing to a Royal Flush in Video Poker. On Day 1 of Event #59: $3,000 NLH Freezeout, it was Level 8 (600/1,200/1,200) when reporter Ollie Garland caught a unicorn of a hand. The rarest possible made hand in poker is a royal flush. 3 card poker has good odds making it one of the most profitable table games ever created. 1. The lower right cell shows a house edge of 7. Therefore, your rough odds of hitting a sequential royal flush is 1-in-4. My holdings: 9c8c - Straight Flush Roommate holdings: AcKc - Royal Flush Flop: 10cJcQc I am curious to know what the odds of this happening are - I looked around on the web but could not find the answer for myself. 3025) Dealt straight (4. Straight Flush. 168%: 594 : 1: Full. 24M hands Royal Flush Probabilities In Pot-Limit Omaha. A royal flush is an ace, king, queen, jack and 10. They don’t need to be sequential in value, so something like a jack, seven, five, king, and nine of spades would qualify. 04 =0. The number of such hands is 4*10, and the probability is 0. , anything between a 10 and an Ace. TwoEggs (670 in chips) Seat 7:High card A 'high card' hand consists of five unpaired cards that make neither a straight nor a flush. Royal flushes generally pay out between 200 and 300 times the size of your bet. It may be used as an ace, or to complete a straight, flush, straight flush or royal flush. The odds of that happening are 1-in-650,000. Royal Flush Odds. The actual odds of flopping a royal flush are 1 in 649,740. $20 $2 ticket cost. Llama123454321 • 5 yr. Regardless of the number of players at a table, there are 36 possible hands that can create a straight flush. Based on the number of possible flush combinations (5,108) in poker we can calculate that there is a 3. On average, a straight flush is dealt one time in every 64,974 deals. Frequency of Royal flush is four. . After the player makes a bet, the dealer will deal the player and himself seven cards each. They only take into account the odds and probabilities of making ranked hands from your initial seven cards. 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. That's equivalent to throwing a quarter and having land on heads about 50 times in a row. The probability of making 4-of-a-kind is 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. 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. 292118. The royal flush probability in different poker variants such as Texas Hold’em and Omaha in different betting rounds are: In Texas Hold ’em, the probabilities of making a Royal Flush are: In the Preflop round, it is 0. So, the odds of one specific player flopping a royal flush would be 4-in-2598960, or 1-in-649740. ago. IF YOU MEAN TO EXCLUDE ROYAL FLUSHES, SUBTRACT 4 (SEE THE NEXT TYPE OF HAND): the number of hands would then be 4*10-4 = 36,. The odds of making a five-card royal flush out of a 52-card deck are 4/2,598,960. 00139%. A Royal Flush is made out of 10, Jack, Queen, King, Ace, all of the same suit. The odds of being dealt a royal flush in a game of poker are 1 in 649,740. Find. It is generated when we hold the same suit all in T, J, Q, K, and A. 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. Royal flush. 0000421845, or 1 in 23,705. However, when you’ve got TJxx double-suited (Ten-Jack plus two cards of any kind), the odds go to 0. 6 So the event that you will have pocket aces that will turn to quads and lose will happen 1 in (221 122. 0279%: 3,589. By the Turn Card. Total Hands = 2,598,960 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. With all poker hands, we use the highest-ranking card to determine which wins. 53908E-06 - 3. A royal flush is the best hand in poker, consisting of a 10, jack, queen, king, and. 1 in 240. A typical flush might be the king, jack, eight, five, and three of hearts. Here's the table: Hand. probability of 0. 8 to 1 for a flush. . There are 2,598,960 possible 5-card hands and 4 possible ways to draw a royal flush. 000154%. In addition, the Pai Gow Odds vary by venue but are typically among the lowest among casino table games. All 5 cards are from the same suit and they form a straight (they may also be a royal flush). This means that you will actually make a Royal even more infrequently. The odds of flopping a straight flush with a suited connector are 1 : 4,899 or 0. 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). ago. These statistics may seem daunting, but seasoned poker players understand that it’s precisely the scarcity of the Royal Flush that makes it so captivating. Fortune Pai Gow Poker Progressive -- Version 1. Poker's best hand is a royal flush, which consists of an Ace, King, Queen, Jack, and Ten of the same suit. 000092=0. The royal flush is the best hand available in poker. Odds Of Hitting A Royal Flush In Texas Holdem. Thomas Eychenne. Flush: 1 in 23. 96%. Pick the poker variation you're playing in the top drop-down menu and the number of players in the hand (you can add in up to five players). An ace-high straight flush, commonly known as a royal flush, is the best possible hand in many variants of poker. 7 billion. 1 in 649,740. It follows the same pay table as the 6 Card Bonus above. We've developed this page to equip you with all the information you need to know about your poker hand odds. 5 of a Kind. 36. For example, here are a couple hands you shouldn't play because they are not listed. 000154% and odds of 649,739 : 1. The number of two card combinations is combin (52×n,2). This calculation yields the odds of approximately 1 in 649,740. 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. It just so happens that we also refer to an ace-high straight flush as a royal flush. I found it at Steiner's bar in Las Vegas. What are the odds of getting a Royal Flush on a video poker game by holding two cards and drawing three to make the royal flush? Jim K. 00146 Straight Flush : 1e-05 Royal Flush : 0. 36%. 000154% in the Pre-Flop round. 981%. In the Pre-Flop Stage. 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. 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. If a play isn't on the list then it should never be played. required two cards. Enter the length or pattern for better results. Multipying by the probability of a board allowing a royal ush bonus, we obtain 1/10,829 as the probability an Omaha player will qualify for the royal ush bonus. 00168067, the probability of a straight flush is 0. Using the strategy on a full pay machine will result in an expected return of 99. That means that on average you’ll see a royal flush every 40,391 hands. Of those, 40 are straight flushes. The possibility of getting the poker hierarchy chart of Royal Flush is 1 in 649,737, and Straight flush is 1 in 72,193. The expected value will be calculated of each, and the player is given the best one as his hand on the deal. 9808%, the strategy presented below is the optimal "exceptionless" strategy, which returns 98. Since the odds of getting a royal flush are about 40,000 to one, if the machine has gone a very long time without a royal flush, this means it will eventually hit. 4 Royal {Flushes}) = (617,760 / 120) - 40 Possible flushes = 5,148 - 40 Possible flushes = 5108. Thus, there are 4 possible royal flushes: # royal flushes = 4 C 1 = 4. 0000153908. There are 47x46/2 of those boards that contain the three cards we need, so dividing again we get 1960. The probabilities for the royal match are easy to derive. 3 to 1 for a 3 of a kind. After the player makes a bet, the dealer will deal the player and himself seven cards each. For comparison, the odds of getting a royal flush are 0. 0. 34042552) 2 to a royal flush, queen highest 5 (0. (What they can do is change the payout. Wild cards are typically a "house rule" sort of thing. Straight flush odds. $300 $3 ticket cost. 00015 percent (or 1 chance in 649,740). The odds of hitting a Royal on any standard 52 card VP machine (regardless of the pay table) is 1 in 40,000. 02112845: Two pair: 123,552: 0. 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. 98%). It's about 1 in 40,000 hands in holdem, and 1 in 30,000 hands in Omaha. 39 x 10^-7 or close to 1 in 4. So the actual probability to make a Royal Flush in Texas Holdem is. EX: Calculate the odds (or probabilities) of the following 5-card poker hands: a) royal flush b) four-of-a-kind c) straight-flush (excluding royal flush) d) full house e) flush (excluding straight-flush) f) straight (excluding straight-flush) g) three-of-a-kind h) two-pair i) one-pair j) high card Also, verify that the probabilities sum to unity. When You Have TJxx Double Suited. 5. Thus, the math is the same. 0032% (30,939-to-1 odds against) Straight Flush – 0. What Are The Odds Of A Royal Flush In Texas Holdem? By Kyle Eve in Casino — Jun 14th, 2023 1:05pm EDT 6 Min. 00559093 Other straights 5,432,040 0. If two players are found to have the same category of hands, then the winning hand will be decided by the High Card. 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. The following chart shows six hands that should be played differently between the two. Here’s a look at how straight flush poker probabilities stack up against other hands in Texas Hold’em: Royal Flush – 0. The earlier he raises, the more he can bet. The numbers represent on average the odds of getting what you’re after. It is made when we have the Ace-high straight while holding cards all of the same suit. 0000) 4 to a straight flush (3. With this pay table, assuming no strategy deviation for the jackpot, the breakeven point is 2,822 full bets, or 14,111 coins. These numbers can vary depending on the discards. This is equivalent to odds of 693-to-1. 3278446) Garbage, everything discarded(0. This is because there are 4 suits and n ways to choose the queen and n ways to choose the king. 545% in the River Round. As the name suggests, it pays a premium for a straight flush. 00003232 Other straight flush 37,260 0. As you can see from these examples, the odds on 3 card poker can vary greatly depending on which hand you’re trying to make. All 5 cards are from the same suit and they form a straight (they may also be a royal flush). Let It Ride odds range from 25. 8 to 1. 00168067, the probability of a straight flush is 0. . 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:If there is a Flush Penalty, the Royal Flush must be worth 5 225 coins. The minimum bet is $5. #4. 995) Knowing poker hand rankings inside out is important, as is having a good hand in a game. 00003232 Other straight flush 37,260 0. Casinos can’t change the odds of hitting a royal flush. Three Card Poker Odds and Payouts. Possible flushes - (36 straight . In poker, players form sets of five playing cards, called hands, according to the rules of the game. The odds of receiving a pocket pair of 4’s or better is 5. 00392465: Three of a kind: 54,912: 0. Rules. 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. A Flush is made up of 5 cards all in the same suit. If you play perfectly your odds of hitting a royal flush are roughly 1 in 40,000. 00139% (72,192-to-1 odds against) for Straight Flush. The bet amount is $1, nd there is no Envy Bonus. Combinations. Then you’ll see a royal flush roughly once every 3,600 hands. Answer: The odds of being dealt a Poker Royal Flush are incredibly slim, with a probability of just 1 in 649,740. 32552597) 2 to. While optimal strategy returns 98. The Royal Panda live blackjack is also well-known and is basically an online live dealer blackjack game. 0032% in Texas Hold’em, with the odds against making a royal flush at 30,939-to-1. Straight. If the dealer’s hand does meet or exceed a predetermined minimum qualifying hand of a three card long 9-high flush, the Dealer’s handFor example, getting a Royal Flush has the lowest probability (. com Royal Flush Playing Cards Poker Hand Stock Vector new casino davenport iowa (Royalty Free. The odds of being dealt the Straight Flush on the flop is only the tip of the iceberg. 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). 76%. Odds of Winning. In a standard 6 deck game, a Flush pays 5 and with a combination of 292896, it guarantees a probability of 0. Is it: chance to flop a royal flush (or any 5 exact cards) = 1/52 * 1/51 * 1/50 * 1/49 * 1/48 ? = 0. Instant Win with. However, those three top hands all pay the same as a 5-card royal flush at 1000. Odds of a Royal Flush. King-queen-jack is the highest-ranked straight flush in three-card poker, barring a mini royal flush. The odds of hitting a sequential, left to right, royal is 1-in-120 Royals. A royal flush is not only useful because it is the strongest hand, but also because of its rarity. You can pick either player and then permute them to get the same result. EX: Calculate the odds (or probabilities) of the following 5-card poker hands: a) royal flush b) four-of-a-kind c) straight-flush (excluding royal flush) d) full house e) flush (excluding straight-flush) f) straight (excluding straight-flush) g) three-of-a-kind h) two-pair i) one-pair j) high card Also, verify that the probabilities sum to unity. Well, the elusive royal flush (where cards can appear in any order) is 1-in-40,000. 8 million hands. 444% and finally reach the maximum to 4. 50117739 The royal flush stands as the best hand possible in the rankings, while the high card hand ranks as the weakest. Four of a. The odds of hitting a royal flush directly are only 1 in 649,739. While a straight flush is one of the strongest hands in poker, making a flush hand or a straight often gives you the best hand as well. The precise odds depend on game and playing strategy. 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. Using your ace and your other hole card: 1 in 162,435. The 1 in 649,740 number is for making a Royal Flush with only five cards. (2. Alex Hemstry in 1994, at the table of one of the casinos in Las Vegas, 2 times in a row collected a royal flash. An example royal flush would be A-K-Q-J-10 of hearts. So, ÷1081 for each of the two hands, = 1 in 3,594,493,636. There are just four ways to make a royal flush (one in each suit). Royal Flush (five credit bet) 800. But the odds of hitting a royal flush depend on the strategy you use. Royal Flush - Ace, King, Queen, Jack, 10 all of the same suit Odds Royal Flush( ) ≈ ( ) 52,5 P Royal Flush C = ( ) 2,598,960 P Royal Flush = 4 ≈ 0. 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. Instant Win with All In: Straight Flush. The odds for getting a specific royal flush in 5-card poker would be 1 in. Straight Flush - Five Cards of the same type, in sequence. Official Texas Hold’em Rules; List of poker hands (Wikipedia) 4. That means the odds of drawing a royal are determined by the number of possible draws. 03025494 Ace high straight 747,980 0. Report inappropriate content . 00001540898529 The probability of a Royal Flush occurring is 0. 1. 7 card stud is a classic poker game where the chances of getting a royal flush are 1 in 30,940 hands. Search for crossword clues found in the Daily Celebrity, NY Times, Daily Mirror, Telegraph and major publications. In essence, the chance of being dealt a Royal Flush in a standard 5-card poker game is infrequent, making it one. You are allowed to make your hand from any permutation of these seven cards (using both, one, or neither of your hold cards). ?. The probability of forming a 5-card royal flush out of 7 cards, before considering card, is 4. 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.