This is because there is only a 0. Mini Royal Flush: An ace, king, and queen all of the same suit. 0032%: 30,939 : 1: Straight Flush (excluding royal flush) 37,260: 0. The deck yields nine distinct ways to make a straight flush. For example, a Straight Flush of J, 10, 9, 8, 7 beats a Straight Flush of 10, 9, 8, 7, 6. So if I made a full house, then the chance someone else will also make a straight flush is 0. Compare this to the overall probability of the royal being 1 in 30,940. 24%. Probability of getting a flush (and so excluding straight and royal flushes) =5108/2598960~=. 168% (594-to-1) Full House – 2. The player and dealer each receive seven cards face down. Flop: 0. Example drawing to Outs Make on turn Make on river Make on turn or river Prob. It’s called a Straight Draw, where only two specific cards can guarantee a Royal Flush hand. 84-1: 54%: Hitting a full house with three pairs : 3-1: 24%: Hitting a full house with two pairs: 5. Your odds of improving to at least two pair if you begin with a straight flush draw like 7 8 9 – 1. Getting your royal flush cards at the very beginning. e. 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. Four of a kind – 40 to 1. Every individual straight flush has the same odds, but if you’re playing on a straight flush draw that isn’t a gut shot you have the potential to hit either straight flush, so the odds of an individual getting a Straight flush goes up. The odds of flopping a straight flush while holding a suited connector or gapper are 1/9,310. Percentage chance of flopping straight or flush draw for suited connectors. This makes your odds of getting a SF straightaway 36/2,598,960, about 1. 25% chances of getting a straight flush. An inside straight draw also known as a “gutshot” is a straight draw where the card required to complete our straight appears in the middle of the structure. A Straight Flush is five cards in a row, all in. 52% for each $1000 in the jackpot, and 0. Total Hands = 52! (52-5)! * 5! Total Hands = 52! 47! * 5!. I first noticed it at the Luxor in Las Vegas on August 11, 2016. The Straight flush bonus is very unlikely to pay out, but if it does it will hit a huge jackpot. The probability that the next hand will be exactly the same is 1/22100. 04%. 111-4-3657. 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,. Generally, a straight bonus is 1:1, a three-of-a-kind bonus is 4:1, and a straight flush bonus is 5:1. This includes the four royal flushes (Diamonds, Spades, Clubs and Hearts). Straight. Odds of flopping the Straight Flush with T8s = 3/19,600 = 0. Those odds are 20/52 * 4/51 or about 3%. This means there is a 100% chance of the first card meeting our criteria. Full house – 10 to 1. What Are The Odds of Flopping a Royal Flush? Rules. 1-2-3-4-5 through 9-10-11-12-13, the computation, ignoring various rules of poker, would just be. Percentage chance of flopping straight or flush draw for suited connectors. Probability. 5 times as unlikely as a 6-card natural straight flush). An explanation of poker odds and poker hands probability. To put this into perspective, you are more likely to encounter a straight flush (with odds of 1 in 72,192. It is because of this reason that straights are made to be higher ranking than flushes. 63. 000154% and odds of 649,739 : 1. The Straight flush bonus is very unlikely to pay out, but if it does it will hit a huge jackpot. 08. 84%) Flush Draw 8. Straight Flush. PAY ODDS; STRAIGHT: 2 to 1: FLUSH: 3 to 1: FULL HOUSE: 5 to 1: FOUR-OF-A-KIND: 25 to 1: STRAIGHT FLUSH WITH JOKER: 50 to 1: STRAIGHT FLUSH: 50 to 1: ROYAL FLUSH: 100 to 1: FIVE-OF-A-KIND: 200 to 1: FIVE ACES: 500 to 1: STANDARDS OF PLAY. In comparison to the 1 in millions chance of hitting the Megabucks jackpot, a royal flush doesn’t look that out of reach. Shit happens in poker; on to the next hand. 00000122: 0. 0217: 45. The odds for getting a flush are 508:1, and to get a straight it's 254:1. You could divide that number (actually 5148 5148) by the total number of equally probable hands ( 2598960 2598960) to get 5148 2598960 ≈ 1 505 5148 2598960 ≈ 1 505. Odds of Making a Royal Flush on the Flop. In this bet, the player wins if the three cards are of consecutive ranks. If the three cards equal a flush, straight, straight flush, or three of a kind the side bet pays 9 to 1. 94% odds of flopping a flush draw. Hold 1 1 in 361; Hold 2 1 in 99; Hold 3 1 in 26; Hold 4 1 in 5 * The straight flush section has several variations that can change the odds that are displayed. 574469). 4 thousandth of a per cent. There are 36 straight flushes and 4 royal flushes. Overall, the probability of getting a flush (not including royal flush or straight flush) is 3. Zurich Progressive. 1. Straight Flush. The two straight flush sequences {4♥ 6♥ 7♥} and {6♥ 7♥ 9♥} are labelled as 221 and 221, and the straight flush hand pattern is 221+221. 4. Straight Flush or Royal Flush: 1 in 729. Calculating the odds of royal flush for Texas Hold’em requires different mathematics, as Texas Hold’em hands are made by choosing the best five-card hand out of seven total cards. The odds of being dealt a Flush on the flop is only the tip of the iceberg. 00139% chance you will hit a straight flush. 001965. The number of such hands is 4*10, and the probability is 0. 5 Card Draw Strategy and Odds. The Royal Flush is actually a type of straight flush. If you flop a gutshot straight draw and a flush draw, you have 11 outs to make your hand. The return depends on the jackpot amount and number of other players. Pro tip: good players don't care about the odds of coolers they suffer. 1 in 72,192 chance of hitting a straight flush. 1 / 80. The most useful piece of information here is that. 33% outcome means the pot odds calculation depends on how high your flush is. With any combination of hole cards, you have a 0. These are primarily and inside draw or an outside draw. 3 to a royal flush; 8. Straight. I believe the odds would be different for different suited connectors. Calculate Total 5 Card hands Choose 5 cards from 52 cards. In Texas Hold'em, there are a total of 2,598,960 different five card poker hands. The first card has probability $frac{52}{52}$ of having the same suit as any previously drawn cards (because there are none). Poker. However, if you enjoy the math behind poker, you may wonder how these odds come to be. . This is correct if we are only considering a straight flush of 65432. Players commonly name a straight flush using its highest denomination, for example, "king-high straight flush" for 9 ♣ 10 ♣ J ♣ Q ♣ K ♣. When having two suited elements, your odds. In one suit, there are 8 different 7-card straights possible. The Straight Flush hand is stronger, as it has 5 cards that are both suited and sequential, for example, suited Q-J-10-9-8. Flush Draw: Having two cards to a suit with two suits already on the flop. 1. PokerSki Legend. org So, in order to calculate our odds of hitting a straight flush, divide the total number of straight flush hands (36) by the total number of possible hands (2,598,960) to get: 0. If you receive a pair of any value, hold them and draw three new. Introduction. The probability of getting a royal flush is determined by the number of royal flushes divided by the total number of poker hands. Odds Of Flopping A Royal Flush Straight Draw. 59% (If you want to understand how to combine them, see my other answer). It’s the hand rank or denomination that’s important. They are definitely not the same for each of those combinations. A typical flush might be the king, jack, eight, five, and three of hearts. You need a [4] or [9] to complete your straight. 00323% in Texas Holdem. So, it's more difficult to even get the four-flush than the open-ended straight draw. 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). Casinos can’t change the odds of hitting a royal flush. That makes the odds of drawing this mostly 32 / 52C7 for each hand (not quite, because hands drawn in a single round aren't independent, but it's pretty close). When dealing into held cards, here’s the frequency of getting what you want. You take the $100 in the pot and divide it by the size of the bet. = 0. King-queen-jack is the highest-ranked straight flush in three-card poker, barring a mini royal flush. 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. 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. A 3 of a kind happens in 1 out of 47 hands, and a straight occurs once every 255 hands. The Odds of getting straight flush. The high number of outs provides the player with nearly a third of the deck to hit a strong made hand. Although the word flush doesn’t immediately have you thinking that it consists of five cards all in the same suit, it’s still an easy hand to recognise. The probability of being dealt. In a straight flush, all cards are of the same suit (flush), and they are numerically connected in order (straight). In this situation, the odds increase to 141 times out of 19,600 possible draws, resulting in a probability of 0. in short deck hold'em your odds of turning the straight are 8 in 31 (nearly 26 percent). I first noticed the Flush side bet at the Four Queens on February 22, 2022 at the Four Queens in Las Vegas. For example, four aces and an 8 (AAAA8. (including straight flush) 118 to 1 (0. Probability. Odds are 4,180,766. You will have 9 outs (18%) of turning a flush draw — which will often allow you to continue bluffing — and 4 outs to turn a straight (8. If two players share the same four of a kind (on the board), the larger fifth card (the “kicker. 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. The likelihood of getting a winning Straight Flush poker hand varies based on the stage of the game: Pre-flop, Flop, Turn or River. ago. For example, if you have open-ended straight or flush draw, you will have 15 outs, but will only improve your hand 54% of the time (not 60% like “the rule of 4” would suggest). It's worth mentioning that there is an additional (19. In a standard game, a Straight Flush pays 30 with an odd of 1:499. Any straight flush: 0. No suit is considered stronger than any other with a mini royal flush. Straight Flush: 40-1; Three of a Kind: 8-1; Flush: 5-1; Straight: 4-1; Two Pair: 3-1; Pair of Aces: 1-1; Complex Strategy Can Be Simplified. For a traditional video poker game (9-6 Jacks or Better), you’ve got a 1 in 40,391 chance of hitting a royal. Player hands are 5 cards total. 94% odds of flopping a flush draw. e. 000000020016, or 0. Use this information along with our pages on Pai Gow odds and rules, for a complete set of instructions. Each opponent has a 2. A straight flush consists of five cards with values in a row, all of the same suit. The same hand also has a 10. In a standard 5-card poker game, the odds of being dealt a Royal Flush are exactly 1 in 72,193. 25%. e. Payout Odds: 7 Card Flush: 300 to 1: 6 Card Flush: 100 to 1: 5 Card Flush: 10 to 1: 4 Card Flush: Even Money: 7 Card Straight Flush: 8,000 to 1: 6 Card Straight Flush: 1,000 to 1: 5 Card Straight. 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). 47%: 5. We passed this question off to the inimitable Michael Shackleford, a. The big payouts come when you hit a straight flush or three of a kind. Holding suited connectors the odds of getting a flush or straight by the river is 5. However, one strategy you won’t find back then is calculating the probabilities of getting one distinct hand. It's about 1 in 40,000 hands in holdem, and 1 in 30,000 hands in Omaha. 2%. I saw this bet at the Venetian Las Vegas on October 6, 2021. Therefore, you need to fast play the hand. 36. 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. The odds of a royal flush in Texas Holdem is 1 in 30,940. 1 / 72,192. Flush: If you hold a four flush, the odds of catching it on the turn are 19. 07%. 0-1 This is how Texas Hold’em odds are calculated. . 8-to-1 odds against. Even if a player has a losing hand compared to the dealer, s/he will still receive his/her Ante bonus, if applicable. What are the odds of getting straight flush? Odds of hitting a straight flush is so low that it almost doesn’t make sense to write it in percentages. 9. Poker Hands Odds Table. Therefore, any 2 suited cards are approximately 4% to fill to a flush if you stay to the river (and ~2% to fill to a straight if connected). Odds of flopping a Straight with a one-gapper between 53 and QT = 0. 1 / 72,192. May 6, 2017 at 1:52The odds and probabilities involved in video poker are as important in any table game. 4 to a flush; 9. 00001539077169. The dealer also receives seven cards face-down. Four of a Kind. Given the assumed ranges, my winning odds dropped from a 93% to 80%. He actually. In Hong Kong, some play that a player who is dealt a dragon, which is one card of each rank: A-2-3-4-5-6-7-8-9-10-J-Q-K, immediately wins the. In comparison to the 1 in millions chance of hitting the Megabucks jackpot, a royal flush doesn’t look that out of reach. Official Poker Hand Rankings. It's rare for the calculation to be very close to your actual equity against a range, let alone a particular hand. $1 - $300 on each of the side bets (4-7 card flush & 3 or more to straight flushes). If your hand includes three to a royal flush, hold. Straight Flush. This is correct if we are only considering a straight flush of 65432. 00001539077169. A "bug" is a card (typically a Joker) that can be used to fill a straight or flush, but is otherwise just an Ace. Every suit has 13 cards and has nine possible straight flushes (A2345, 23456, etc, up to 9. 001965401545. Flush. Instant Win: Royal Flush. There are 50C3 (19600) possible flops. Now you're getting more than the required odds to call (you're actually a favorite here versus any one-pair hand), but you shove instead. 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. If you just deal out five-card poker hands to yourself and one opponent and simply show them down, your odds of losing with a K-high straight flush are 1,533,938 to 1. 5:1 against. 4 of a Kind: 1 in 500. 45%: 2. 20 poker hands odds and poker statistics you should know to improve your game. Here’s a look at how straight flush poker probabilities stack up against other hands in Texas Hold’em: Royal Flush – 0. The main differences between Heads Up Hold 'Em and Ultimate Texas Hold 'Em are in the former the player. The first Texas Hold’Em deck was supposedly dealt in the early 1900s. 96%. Instant Win: Straight Flush. In any event, don’t expect to be dealt a royal flush in your poker career. The larger the Straigh Flush, the more you win!* Ante: Win when your Flush is higher than the Dealer, or if the Dealer doesn’t qualify. 00000121: Straight flush 6 high or higher: 0. It pays based on the poker value of the player's first two cards and the dealer's up card. Odds of flush on flush. Nightly Draw: Match 3 of 5. If you have an open-ended straight draw you now have 16 outs instead of 8- In 1 deck poker, your odds of hitting a straight on the next card is 17% (8 outs divided by 47 cards left in the deck= 19). The side bet pays based on the player's first two cards and the dealer's up card. The earlier the raise is made the higher it may be. Temporary Administrative Regulations. High card. 3%, while the probability of getting a straight draw in poker and improving it on subsequent streets is 10. Keep in mind, however, that 93% of the time you will get a Straight Flush of only 2 cards, which offers no payout. A 3 of a kind on 21+3 Xtreme has 26,312 combinations with odds of 1:199. The rule of 2 and 4 is great for beginners, but more experienced players have a better understanding of equity and. The less frequently occurring hands (such as Full Houses. 1 / 9,150. While playing poker, knowing the odds of. 7 card Straight Flush: 800,000-1: 0. Mathematics: Flushes & Straights : Simple Pot Odds : Implied Odds : Reverse Implied Odds Watch SplitSuit's video on Flushes and Flush Draws for 8 hand histories involving. 00015 or roughly 0. Combinations. 1, or a 19. It is highly unlikely that you get a. This time, you have 8 outs ( any King or any Eight), so the odds of completing a straight are 1:2. 5%: Hitting quads with a set:. Straight flush draw: 0. So the odds of being dealt a royal are exactly the same as being dealt any other straight flush. 9% chance of getting trips or better. 3 card poker has good odds making it one of the most profitable table games ever created. There are 1,326 different hole-card combinations in Texas Hold'em poker and 6 of them are aces. In Omaha, same rules apply, except your opponent has more chances to make the exact two cards. The player may raise his bet one time, and has three opportunities to do so. 007%. Q ♥ J ♥ 10 ♥ 9 ♥ 8 ♥ – a Q-high straight flush; 6 ♦ 5 ♦ 4 ♦ 3 ♦ 2 ♦ – a 6. If you’re holding a suited connector like J ♠ T ♠ there are exactly 4 flops which will give you a straight flush: A ♠ K ♠ Q ♠ (for a royal flush), K ♠ Q ♠ 9 ♠, Q ♠ 9 ♠ 8 ♠, and 9 ♠ 8 ♠ 7 ♠. That means that on average you’ll see a royal flush every 40,391 hands. = at least 18432. 2. 5% in full-deck hold’em). 29%. Say you flop an open-ended straight-flush draw. AK unsuited vs small suited. In the bottom hand, because the three-card straight flush has a gap (2. You have two hearts in your hand and there are. Percentage chance of flopping straight or flush draw for suited connectors. Article 4. You can flop a straight flush in only some specific ways – 1, 2, 3, or 4 ways, making the required probability either 1/ (50C3), 2/ (50C3), 3/ (50C3), or 4/ (50C3). Flush hands are some of the best poker hands you can hope for, but a royal flush will always win. 07-to-1 odds against). Poker Odds: Menu: Poker Hands: Hands Simulator: Articles on Playing Hands: Best Holdem Starting Hands: Tie Breaking Rules:. a. 06-10-2012 , 06:32 PM. Roughs out to about 1/225 times you make the bottom side of a straight flush (3 on the board) you will lose playing Omaha. 015% for three-way, 0. Calculating the. 8-to-1 odds against) of making a straight from drawing five random cards. Your odds of getting a straight flush on the turn with two suited cards increase to 4. This is 72,192:1 odds against hitting it. Pair of 6s through 10s – push. Your odds are best after getting two suited pocket cards usable in the Royal flush. Therefore, with a standard deck and a five-card poker hand, there are 10,200 ways to make a straight (for a probability of 0. Wild Aces. 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. For simplicity, we will assume that five cards are dealt from a standard 52 deck of cards without. Royal Flush $320. What are the odds of getting a straight flush? With 5 cards: Straight Flush: approx 72,192 to 1 Royal Flush: 649,740 to 1 With 6 cards: Straight Flush: approx 12293 to 1 Royal Flush: 108289 to 1. Royal flush: A straight from a ten to an ace with all five cards in the same suit. P of flopping a straight flush with an eligible hand x P of having an eligible hand (11. 63 ; Flush: 1 in 23. 001965 ≈ 1 509. For more on odds, including the. The earlier he raises, the more he can bet. Okay, so you know how to work out the odds for hitting a flush draw or a straight draw. , anything between a 10 and an Ace. Straight Flush. 1965% or 508. Let's say your opponent has ZY, where Z is one higher than the X. The probability and RTP for a Straight are 0. That means that on average you’ll see a royal flush every 40,391 hands. 52C7 = 133,784,560 combinations of 7 cards. 5,000,000:1. Flushes tend to occur more frequently than straight. If you have two undercards to the board to the two on the board,. For more on odds, including the. 00196 To find the probability, we need to find the fraction where the numerator is the number of ways to have a flush and. Probability is the ratio of the number of successful outcomes to the total possible outcomes, while odds compare the. xdan. It might not feel like it, but you'll be dealt a pocket pair on average once every 17 hands. Five sequential cards in the same suit. A straight flush cannot beat a royal flush, but a straight flush does beat most other hands including four-of-a kind, full house, and three-of-a-kind. 94% for suited connectors and 10. For that reason, there is another formula you should remember and use when you have more than nine outs on the flop in a poker hand. 45% chance of hitting an open-ended 8-out straight draw. We shall count straight flushes using the largest card in the straight flush. Odds of flopping a Straight with a one-gapper. . 1-to-1. The odds of this happening are 1:508, so a little less likely than the full house. 45% chance of hitting an open-ended 8-out straight draw. They are 47% starting from four cards, all to a flush, in seven card stud. A four of a kind happens about once an hour. Low pair;. Raise: Make up to 3X your Ante wager, depending upon your Flush. you will now get a Straight Flush if you get the Queen or seven of spades (a 4. When you look at it from the point of view where you have five random cards, it's less likely that they will form a flush than a straight. Straight. 8%. 00015 percent (or 1 chance in 649,740). Thus the odds of being dealt aces in any hand are 6 to 1,320 or 1 to 221 (or 0. If you were playing. At 30 hands an hour (2 mins/hand), I calculate that this happens 2-3 times a year on a fictional table that's open for 24 hours straight. 97%: 1. Moreso, the royal flushes account for only 1 in 10 straight flushes, so the odds of landing a straight flush in the first place are about 1 in approximately 65,000. Hand Odds Probability Bonus; 7 card Straight Flush: 5,000,000-1: 0. So, for example, A-Joker-3-5-7 is a pair of aces, 3-4-Joker-6-7 is a 7-high straight, but K-K-Joker-9-5 is just a pair of kings with an Ace kicker. Straight 2 Flush is a blackjack side bet found on Dynasty electronic blackjack games. 00001385 . This means that the total odds for completing a flush - which should matter for example if you're going all in. Straight flush – A straight flush is the same as a flush, being that the 2 cards of the players and 1-up card of the dealer must be in consecutive order. The only way to lose with a King high straight flush is to a royal flush of the same suit. Case 1: 9 is on the board. However, a royal flush is a special type of straight flush, as it contains the highest-ranking cards in the game: Ace, King, Queen, Jack, and Ten. From a 52-card poker deck, you have an 0. Four singletons. Then you have five chances at 3 more cards but your odds evolve based on how many draws are left. In Bonus Poker, four aces are worth more than a straight flush, despite being lower in the poker hands rankings. Well. The odds of being dealt a royal flush in poker is even worse than that! Let's start with some rather simple but quite important odds: being dealt aces. With four cards you should only "let it ride" if you have:Your odds to flop a straight having offsuit connectors is 1. The odds of flopping the royal flush poker hand provided is 0. For the 3RFs to be spades, ÷ 4 = 1/368. An example of a straight flush could look like this: If you draw five random cards out of a 52-card deck, you have an 0. Because players going all-in for a flush draw after the flop usually have near the nuts, this 3. 4%. Realize that whatever limit you are playing, you can use the 32-to-1 implied pot odds that we calculated above as the basis for the number of small bets you need to win to make a backdoor-flush draw. straight flush probability; Flush; 2 Pair poker; AKKQJ; Tags: 5 card poker hand; combination; factorial; probability; Add This Calculator To Your Website. In any event, don’t expect to be dealt a royal flush in your poker career. Two pair; 6. The more difficult it is for a particular hand to. It is true that the probability of drawing at least one 5 -card flush in n cards can be expressed as a fraction with denominator (52 n), but in general the numerator is larger than (4 1) (13 5). An ace can count either ‘high’ – which means its value is above a king – or ‘low’ – in which case its value is below a two,. This probability can also be expressed as 649,739-to-1 odds against drawing a royal flush. They only take into account the odds and probabilities of making ranked hands from your initial seven cards. When dealing into held cards, here’s the frequency of getting what you want. This leaves 9 cards of your suit, and 38 of a different suit; your odds of completing your flush on the turn are thus 9/47, or 19. 0. 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. e. However, for a straight flush, they must be of the same suit. 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. Against a pair, the Open Ended Straight Flush Draw is a favorite on the flop and has strong equity on the turn. Correct: 7,8 = 15 (the flush combo does not count) 3,7 = 15 (the flush combo does not count) 2,3 = 15 (the flush combo does not count) Alas, combin (3:2) = 3 not 6 5,5 = 3 6,6 = 3. Royal straight flush: 4 in 2,598,960: 0. Version 1. 75% and 2. There are 50C3 (19600) possible flops. There are ten possible straight flush hands per suit, and four suits, so 40 possible. optional FLUSH and/or STRAIGHT FLUSH BONUS wager at time of ANTE wager. Reply withoutatrace123 • Additional comment actions. Could someone point to a resource or do it by themselves where they explain the odds of hitting either a flush draw or a straight draw or both. With any two suited cards, you hit a flush 11/50 x 10/49 x 9/48 = 0,84% of the time (roughly) With a three-gapper like A5 or 59, you hit a straight 4/50 * 4/49 * 4/48 * 3! = 0,27% of the time. In Omaha, same rules apply, except your opponent has more chances to make the exact two cards. Bets err on the side of caution and assume that they have the hand most dangerous to your own. 310214 respectively. It's just the odds of getting the straight flush. (What they can do is change the payout.