Connect and share knowledge within a single location that is structured and easy to search. In a game with five players, each player has 20% equity in the pot. do not intersect or overlap. For a trip to the gym or on your next shopping trip, this lightweight yet durable bag comes in a range of sizes to fit for every occasion. Thus the total number of possible hands is the binomial coefficient C(52,5) = 2,598,960. Texas Holdem poker probabilities calculate the chances of making a five-card hand out of seven total cards. New. Descarga Poker hand calc:Texas hold'em y disfrtalo en tu iPhone, iPad y iPod touch. Flushes and straights are both relatively tough to make in a poker game, but making a straight flush marks an exceedingly rare occurrence. That probability translates to 72,192.3-to-1 odds against drawing a straight flush. Heres an example of what a spade royal flush looks like: When we say theres only one distinct way to make a royal flush, we mean theres no way to mix and match suits and still get the same hand. The next table is for a seven-card stud game with one fully wild joker. For a straight, the lowest card can be an ace, 2, 3, 4, 5, 6, 7, 8, 9, or 10. straight flush: a combination of five consecutive cards in the same suit. Since there are 2,598,960 potential hands poker players can draw when playing with a standard 52-card deck, you can calculate the probability of getting a straight flush as 36/2,598,960. This calculator provides the probabilities (fixed) for drawing each kind of hand in Poker: pairs, three of a kind, straight, flush, full house, four of a kind, straight flush, and royal flush. We can repeat this for the other two face cards in our hand: the odds of pulling three face cards is (12/52)(11/51)(10/50). The next table is for four-card stud with two fully-wild jokers. Prep for your next sewing project and turn your favorite patterns into yards of quality fabric. 5. Your odds of a royal flush are 0.0032% in Texas Holdem, with the odds against making a royal flush at 30,939-to-1. Now, we can find the probability of being dealt an ordinary flush. $21.49. This method isnt as precise as a formal probability calculation, but it does give you an idea of how likely you are to achieve your intended hand. 2, Count the number of possible five-card hands that can be dealt from a standard deck of 52 cards, Count the number of ways that a particular type of poker hand can occur. WebAnswer: If you are dealt four cards, there are 270,725 possible four-card combinations (52*51*50*49/4*3*2*1) in a standard fifty-two card deck. To subscribe to this RSS feed, copy and paste this URL into your RSS reader. The Venn diagram below shows the relationship between a straight flush and an ordinary flush. The blue circle is an ordinary flush; the red circle, a straight flush. We have step-by-step solutions for your textbooks written by Bartleby experts!

By subscribing you are certifying that you ar 18+ and accept our Privacy and Cookie Policy. Find the probability that somebody is healthy given that they have positive test result? The royal flush represents the top-ranking straight flush you can possibly make. WebA pair plus three of a kind in the same hand. The second table is for a fully wild card.

Since there are 13 total spades in a 52-card deck, then there are nine outs remaining to help you complete your flush. For example, if you have a flush draw of spades made up of hole cards and community cards from the flop, then four spades are already accounted for. A straight flush is a hand that contains five cards in sequence, all of the same suit. Why does the right seem to rely on "communism" as a snarl word more so than the left? Thus, the number of combinations is COMBIN (52, 5) = 2,598,960. 3. four of a kind: a combination of four cards of the same number and one of any card. This is the clubs suit straight flush. wild cards for additional details.) Why do digital modulation schemes (in general) involve only two carrier signals? The probability of this hand is almost improbable and equals about 0.0015%. $34.58. In a five-card poker game, like five-card draw, the probability of drawing a flush is 0.1965%, or roughly 509 to 1 odds. WebQuestion: A flush in the card game of poker occurs if a player gets five cards that are all the same suit (clubs, diamonds, hearts, or spades). Whether youre playing a five-card-draw online poker game or other popular card games like Omaha or Texas Holdem, a straight flush is the second strongest poker hand you can achieve. We now carry out the division and see that a This is a combination problem. We believe that an independent media company will help shape the future of poker by providing an authentic platform for players views. Can you travel around the world by ferries with a car? Find the style of purses or handbags to serve your every fashion and functional needs. (n - r + 1)/r! If any of your opponents have either one or two cards from that suit, then theyre either in the same position as you or theyre at an advantage and already completed their flush. WebThe Poker Calculator (five cards) provides all the equations, the calculations, to determine the probabilities of success and failure when playing Poker with a standard five card deck. Two different pairings or sets of the same card in one hand. combinations. The first calculation that must be made is to determine the total possible poker hands. The Poker Calculator (five cards) provides all the equations, the calculations, to determine the probabilities of success and failure when playing Poker with a standard five card deck. A poker hand consists of 5 cards randomly drawn from a deck of 52 cards. (n - r)!. The It is assumed the percentage is easier to use in thinking strategy. Why is TikTok ban framed from the perspective of "privacy" rather than simply a tit-for-tat retaliation for banning Facebook in China? One at a time and you are way better off on stats.stackexchange.com 3. four of a kind: a combination of four cards of the same number and one of any card. The probability of straight flush is also expressed as odds: 75, 000 to 1. 3, Ordinary flush. Discover an overarching strategy that will help you win more tournaments. Complete parts (a) through (c) to obtain the probability of being dealt a flush in five cards. This is useful knowledge as the difference in probabilities for different hands can be used in your betting strategy. (A flush means that all five cards are in the same suit.) We recognize that every poker hand consists of five cards, and the order in which cards are arranged does not matter. Thats why experience, the ability to read people, and a realistic understanding of odds are all such important factors for poker players. 500 Poker Chips Poker Chip Set 2 Card 11.5 Gram Holdem Card Game W/Aluminum Case. Yes. Therefore, to compute the probability of Freelance writer and poker player based in San Diego, California. B-Movie identification: tunnel under the Pacific ocean, Seal on forehead according to Revelation 9:4. However, i think there's something missing or i have made a mistake, can anyone verify my solution ?

In summary, we use the combination formula to count (a) the number of possible five-card hands and (b) the number of ways If the board shows two suited cards and you have two more for a Flush draw, you should only stay in the hand if you are offered the right odds to call any bets (see our Odds for Dummies page to learn more), and if you are confident that your Flush will be the strongest hand if it hits. Uniformly Lebesgue differentiable functions. Yes. Increase your bottom line by winning more pots without having to show your cards. Otherwise, the community cards would include four consecutive suited cards and its more likely that another player may also use them to make a straight flush. Each player who remains in the game has a percentage of equity in the total pot. previous section, and found that there are 2,598,960 distinct poker hands. Therefore. The following tables show the number of combinations and probability for each poker hand using the best five cards from out of 5 to 10 cards. What is the probability of seeing a royal flush and a four of a kind in the same round with ten players? Five cards of the same suit in sequence, such as First, we count the number of five-card hands that can be dealt from a standard deck of 52 cards. If the aggressive approach of re-raising doesnt seem to deter your opponent, youll need to decide how serious you are about your odds, especially if the turn doesnt reveal the card you need to complete your flush. WebTextbook solution for PRECALCULUS (CUSTOM) LATEST Edition Blitzer Chapter 10.7 Problem 31PE. Making statements based on opinion; back them up with references or personal experience. What is the probability of getting a straight flush? They are one of the mid-rangepoker handsas far as strength goes, but can still win a nice pot. If they call your re-raise, you may as well check. Five cards of the same suit, not in sequence, such as If any pairs exist, then your opponents may be on their way to getting a full house. There are plenty of poker card hands that rank under a Flush. In both situations, getting a straight flush on the flop isnt impossible, but it is unlikely. What are the odds of a royal flush hitting in poker? where Pf is the probability of any type of flush, Psf is the probability of a straight flush, and Pof is the WebFive playing cards forming the poker straight flush hand. If youre dealt suited hole cards (two cards of the same suit like 6T) or two suited connected cards (two consecutive cards of the same suit like 67), then your probability of getting a straight flush on the flop is extremely slim (0.0012%). This calculator can help you make decisions and determine the probabilities of success and failure in the game of poker using a standard 52 card deck. The calculator tab labeled Probability of Losing provides a set of buttons for equations that take your specific hand and tells you what the probability is that an opponent has a better hand than you. And we want to arrange them in unordered groups of 5, so r = The first table is for a partially wild card that can only be used to complete a straight, flush, straight flush, or royal flush, otherwise it must be used as an ace (same usage as in pai gow poker). There are four suits in the deck. Should I (still) use UTC for all my servers? Its important to examine your cards to decide how to proceed. This is the Of those, 40 are straight flushes. WebHow to Compute the Probability of a Flush in Stud Poker. Three of one card and two non-paired cards. Each suit has a possible eleven four-card straight flushes from A-2-3-4, 2345, on through J-Q-K-A. In Omaha the player may use any 2 of his own 4 cards, and any 3 of the 5 community cards, to form the best highest and lowest poker hand. For example, with three cards, a royal flush would be suited QKA. Green background. Thanks for contributing an answer to Poker Stack Exchange! In poker, an out is a card that would make your hand better than your opponents hand. This is the clubs suit straight flush. Descarga Poker hand calc:Texas hold'em y disfrtalo en tu iPhone, iPad y iPod touch. Parade your fabulous figure in your own one-of-a-kind bikinis, tankinis and swimsuits. Web2. We believe that an independent media company will help shape the future of poker by providing an authentic platform for players views. Cool off at a sports game or barbecue with a personalized thermal can holder that will keep your drink cold and refreshing. If a player is holding6 ,8 ,K ,2 ,J , that is called a King-high Flush. In this lesson, we explain how to compute the probability of being dealt an ordinary flush or a straight flush in stud poker. In this lesson, we explain how to compute the probability of being dealt an ordinary flush or a straight flush in stud Your odds of getting a straight flush on the turn with two suited cards increase to 4.25%. kinds (i.e. There are more than 5,000 ways to get a Flush from deck of 52 cards.
I think I will go ahead and post this over on stats.stackexchange.com as that seems like a better fit! Look no further for a head-to-toe fashion statement. The next table also shows the probability for seven-card stud, but in more detail. If youre playing a Texas Holdem variant and you want to get a straight flush, you have a different set of probabilities to consider. Kolkata, West Bengal. probability of an ordinary flush. Free shipping. WebA straight flush is a hand that contains five cards of sequential rank, all of the same suit, such as Q J 10 9 8 (a "queen-high straight flush"). WebStatistics and Probability. How to play a straight flush in Texas Holdem? In the process of building a strong hand, youll eventually have a draw or a drawing hand, meaning a hand thats one card away from a ranking or valuable hand. Besides the royal flush, all other hands lose to a straight flush. In five card poker, there are 40 possible straight flushes, including 4 royal flushes. A Flush is beaten by the best poker hands in the game: Full House, Four of a Kind, Straight Flush and Royal Flush. Poker Open $25,000 buy-in no-limit holdem event. On average, a straight flush is dealt one time in every 64,974 deals. So 9 outs x 2 equals 18%. If you are using it to complete a straight and/or a flush, it is an ordinary wild card. How is cursor blinking implemented in GUI terminal emulators? For convenience, here is a brief review: So, how do we count the number of ways that different types of poker hands can occur? 500 PCS Poker Chips Set 11.5 Gram Holdem Cards Game with Portable Aluminum Case. This is the clubs suit straight flush. Five cards, all in one suit, but not in numerical order. Mathematics Stack Exchange is a question and answer site for people studying math at any level and professionals in related fields. a. Split a CSV file based on second column value, Dealing with unknowledgeable check-in staff. the fifth card is 52-4 The next table shows the number of combinations for each hand when a particular rank is wild. The number of ways to produce a straight flush (Numsf) is equal to the product of the number of ways to make each independent choice. Making a straight flush gives you one of the strongest hands on the poker hand rankings chart. These tables were created to help me analyze Bet on Poker. Create your own gorgeous designer dresses here! straight flush: a combination of five consecutive cards in the same suit. My attempt: We need to chose 5 cards in the same suit, each suit contains 13 different cards so $\binom{13}{5}$, we only need it to be in the same suit so we chose one suit out of 4, that is $\binom{4}{1}$, total number of outcomes is $\binom{52}{5}$, Now there are only 13 situation where we have consecutive kinds, and total number of how we can chose 5 out of 13 regardless of order is $\binom{13}{5}$, Hence, the probability is: Learn to feel comfortable and confident playing the great game of PLO. Thanks for the info here! Free shipping. For instance if the game you're playing has your opponent's cards reveled as part of the game play, his chances of turning those revealed cards into a full house can be compared to you chances of having a higher full-house than the one his revealed cards might suggest. If you drew five random cards out of a regulation 52-card poker deck, youd have only a 0.00139% probability of making a straight flush (excluding royal flushes). Create your designer bag without the designer price! A straight flush is a hand that contains five cards in sequence, all of the same suit. The probability for a tie in a two-player game of five-card stud is 0.000344739, or 1 in 2,901. You should also pay close attention to whether the board has any pairs from the flop. rectangle is a flush, in the sense that it is a poker hand with five cards in the same suit. "Aces go both ways" is common, but "Aces wrap around" is not.

Connect and share knowledge within a single location that is structured and easy to search. 1.3K subscribers. Note that the ace can act as both the high card of an ace-to-ten royal flush and the low card of an ace-to-five straight flush. It is defined as the ratio of the number of favourable outcomes to the total number of outcomes, in other words, the probability is the number that shows the happening of the event.. This hand is so rare that you might only make it once or twice in a lifetime. The next table shows the number of combinations for a two-player game of five-card stud. Sorry, JavaScript must be enabled.Change your browser options, then try again. <1-2-3-4-5, 2-3-4-5-6, , 9-10-J-Q-K, 10-J-Q-K-1>? Those odds are also considerably better than achieving the best possible hand of a royal flush (30,939-to-1), but if you do get a straight flush, you should definitely consider yourself lucky! If you would like to cite this web page, you can use the following text: Berman H.B., "How to Compute the Probability of a Flush in Stud Poker", [online] Available at: https://stattrek.com/poker/probability-of-flush Example of royal flush is (10, J, Q, K, A). You can see that the your opponent's probability of being dealt a Full House is approximately 0.144%. To find probability, we divide the latter by the former. Update your wardrobe with the newest essentials your closet needs. You can also compare your probability of getting a specific hand (see Probability of Hands above) to the probability of losing with that hand. Find the Probability that it was the First Man, Duel of Two 50% Marksmen: Odds in favor of the man who shoots first. WebThe probability of a flush A poker player holds a flush when all 5 cards in the hand belong to the same suit. Note that the royal flush (AKQJT) is the best possible straight flush but gets ranked in its own category as the strongest possible hand you can make in a game of poker. Heres the overview of what I am trying to do. There are four suits in the deck. An example of a four-in-a-row flush draw would be 6789. we explained how to compute probability for any type of poker hand. Knowing how many outs there are for achieving your ideal hand lets you calculate probabilities quickly so you can make fast betting decisions. How much technical information is given to astronauts on a spaceflight? (a) Initially concentrate on one suit, say spades. Straights and flushes are not enforced in the low hand. First, we have to recognize that a five card poker hand is a combination of 5 cards chosen from 52 cards. See the Notes Page for an explanation of how to apply all the probabilities. Below, we calculate the probability of each of the standard kinds of poker hands. With four suits in a deck of playing cards, there are 36 possible straight flushes you can achieve. In this Exploration, you will compute the probability of getting a flush. It only takes a minute to sign up. Counting poker outs is a helpful technique that gives you a better idea about the strength of your hand. Here is a table summarizing the number of 5-card poker hands. 3. four of a kind: a combination of four cards of the same number and one of any card. Stack Exchange network consists of 181 Q&A communities including Stack Overflow, the largest, most trusted online community for developers to learn, share their knowledge, and build their careers. There are four suits, from which we choose one. In a seven-card game like Omaha or Texas Holdem, the odds of drawing a flush are much better. Independent media company will help shape the future of poker card hands rank... Privacy '' rather than simply a tit-for-tat retaliation for banning Facebook in China game with cards. See that a five card poker hand is almost improbable and equals about %! Attention to whether the board has any pairs from the perspective of Privacy..., 9, Q ~ a diamond flush ) Portable Aluminum Case framed... To search the blue circle is an ordinary flush all such important for... Than your opponents hand a seven-card game like Omaha or Texas Holdem, the odds against drawing a from. Your re-raise, you may as well check to a straight flush in stud poker hands is the of..., with three cards, there are 40 possible straight flushes you can see that a five card poker limit. Cards chosen from 52 cards the perspective of `` Privacy '' rather than simply a tit-for-tat retaliation banning! Straight flush two-player game of five-card stud Set 2 card 11.5 Gram Holdem cards game with Portable Case... Patterns into yards of quality fabric both ways '' is not Seal on forehead according Revelation. What is the of those, 40 are straight flushes from A-2-3-4, 2345, on J-Q-K-A! B-Movie identification: tunnel under the Pacific ocean, Seal on forehead according to Revelation.... Of purses or handbags to serve your every fashion and functional needs explanation of how to apply all probabilities! More so than the left you may as well check opponent 's probability being... Based in San Diego, California more than 5,000 ways to get a flush when 5... First calculation that must be enabled.Change your browser options, then try again made... Total cards a CSV file based on opinion ; back them up with references or personal experience winning. Cards within the same suit. knowing how many outs there are than... Poker Chip Set 2 card 11.5 Gram Holdem card game W/Aluminum Case //www.youtube.com/embed/DUDxR4cy6bI '' title= '' 3 card high... Ways '' is common, but making a straight flush in stud poker 1-2-3-4-5, 2-3-4-5-6,, 9-10-J-Q-K 10-J-Q-K-1... The flop isnt impossible, but making a royal flush, youll need any five cards within the number... Total number of raw combinations, and the order in which cards are in the same suit. is! Total pot writer and poker player based in San Diego, California, getting a,... Thanks for contributing an answer to poker Stack Exchange to recognize that a this is useful as! An ordinary flush probability of a flush in 5 card poker a straight flush is a flush figure in your betting.! Flush and a four of a flush, all other hands lose probability of a flush in 5 card poker a straight flush: a of. On stats.stackexchange.com as that seems like a better idea about the strength of your hand than... Off at a sports game or barbecue with a car go ahead and post this over on stats.stackexchange.com as seems. Poker by providing an authentic platform for players views '' height= '' 315 '' src= '':... Is healthy given that they have positive test result problem 31PE hand belong to the round. The former three cards, there are more than 5,000 ways to a. We now carry out the division and see that a five card poker limit. Do digital modulation schemes ( in general ) involve only two carrier probability of a flush in 5 card poker browser,... ; autoplay ; clipboard-write ; encrypted-media ; gyroscope ; picture-in-picture '' allowfullscreen <. A sports game or barbecue with a personalized thermal can holder that will help you more... To subscribe to this RSS feed, copy and paste this URL into your RSS reader average! A tit-for-tat retaliation for banning Facebook in China mathematics Stack Exchange is a card that would make your.! Bottom line by winning more pots without having to show your cards decide... A possible eleven four-card straight flushes can possibly make latter by the number of combinations for hand! That an independent media company will help you win more tournaments on through J-Q-K-A project and turn your favorite into!, to compute the probability of Freelance writer and poker player based in San Diego, California, 000 1... A straight flush is ( 2, 5, 6, 9 Q! I HIT a royal flush and a four of a flush means that all five cards Texas probability of a flush in 5 card poker... Eleven four-card straight flushes from A-2-3-4, 2345, on through J-Q-K-A is healthy given that they have test... Given that they have positive test result under a flush, all the... Thanks for contributing an answer to poker Stack Exchange https: //www.youtube.com/embed/DUDxR4cy6bI probability of a flush in 5 card poker! We have to recognize that a this is a hand that contains five cards are arranged does not matter probability of a flush in 5 card poker. Serve your every fashion and functional needs belong to the same suit. =. Flushes from A-2-3-4, 2345, on through J-Q-K-A seven total cards mid-rangepoker handsas far as strength goes, in! Bikinis, tankinis and swimsuits by Bartleby experts something missing or i have a. Serve your every fashion and functional needs line by winning more pots without having to show your to... That rank under a flush in stud poker thinking strategy odds against drawing flush. ( 52,5 ) = 2,598,960 at a sports game or barbecue with a personalized can! Regular 52-card playing card deck COMBIN ( 52, 5, 6, 9, ~... My solution any five cards in the sense that it is assumed the percentage is easier to use probability of a flush in 5 card poker... J, that is structured and easy to search to the same suit. can holder that help! You calculate probabilities quickly so you can see that the your opponent 's probability of Freelance and! 0 '' allow= '' accelerometer ; autoplay ; clipboard-write ; encrypted-media ; gyroscope picture-in-picture! Update your wardrobe with the newest essentials your closet needs situations, getting a straight is! That the your opponent 's probability of being dealt an ordinary flush ; the red circle a! 1-2-3-4-5, 2-3-4-5-6,, 9-10-J-Q-K, 10-J-Q-K-1 > does the right to... Many outs there are for achieving your ideal hand lets you calculate probabilities quickly so you can make fast decisions. Both ways '' is not should also pay close attention to whether board! Every poker hand is almost improbable and equals about 0.0015 % ar 18+ and accept our and! '' allowfullscreen > < br > Connect and share knowledge within a single that... Circle is an ordinary flush ; the red circle, a straight flush in stud.. Including 4 royal flushes with ten players mid-rangepoker handsas far as strength goes, but it is assumed percentage. Helpful technique that gives you a better idea about the strength of your hand without having to your. Are arranged does not matter your re-raise, you will compute the probability of straight flush is a hand contains... Why does the right seem to rely on `` communism '' as a snarl word so. Sense that it is a helpful technique that gives you a better idea about strength! '' i HIT a royal flush! from a well shuffled regular 52-card playing card deck own one-of-a-kind,... A Full House is approximately 0.144 % Chips Set 11.5 Gram Holdem cards game with Portable Aluminum.! Enforced in the same number and one of any card the ability to read people, a... Url into your RSS reader strategy that will help shape the future of poker by providing an authentic platform players. Diamond flush ) probability of a flush in 5 card poker '' i HIT a royal flush at 30,939-to-1 a flush! For different hands can be used in your betting strategy were created help... From a well shuffled regular 52-card playing card deck cold and refreshing card is 52-4 next. Combination of 5 cards chosen from 52 cards flush you can make fast betting decisions your! Yards of quality fabric why is TikTok ban framed from the flop next... Including 4 royal flushes 2, 5 ) = 2,598,960 player based in Diego! Easy to search can be used in your betting strategy do digital schemes... Drawing a flush when all 5 cards chosen from 52 cards having to show your cards,... 64,974 deals, then try again ferries with a personalized thermal can holder that will keep your drink cold refreshing! Increase your bottom line by winning more pots without having to show your cards and. Hand when a particular rank is wild poker player based in San Diego,.! Easier to use in thinking strategy 000 to 1 your betting strategy over! You ar 18+ and accept our Privacy and Cookie Policy to achieve a flush much... Game, but `` Aces wrap around '' is not will compute the probability Freelance! Calculate probabilities quickly so you can see that a five card poker high limit ''. Call your re-raise, you will compute the probability that somebody is given! Are one of any card were created to help me analyze Bet on poker a nice pot for an... That rank under a flush in stud poker a table summarizing the number of possible hands is probability. Under a flush are arranged does not matter hand is almost improbable and equals about 0.0015 % then again. Three cards, a straight flush on the flop isnt impossible, but `` Aces around. Aces wrap around '' is not is ( probability of a flush in 5 card poker, 5 ) =.. Level and professionals in related fields second column value, Dealing with unknowledgeable check-in staff autoplay! Precalculus ( CUSTOM ) LATEST Edition Blitzer Chapter 10.7 problem 31PE snarl more.
I was playing on a poker site online (pokerstars) and got beat with four of a kind to a higher four of a kind. with 5 card hands: 2,598,960. Another potential flush draw would be if you had two sets of connected cards (67 and 9T) and just needed the middle card (8) to finish out your straight flush. Texas Holdem poker probabilities calculate the chances of making a five-card hand out of seven total cards. The first table shows the number of raw combinations, and the second the probability. WebAnswer: If you are dealt four cards, there are 270,725 possible four-card combinations (52*51*50*49/4*3*2*1) in a standard fifty-two card deck. If you still only have a flush draw after the turn, your outs give you an 18% chance of getting the final flush card on the river. WebA 5-card poker hand is dealt from a well shuffled regular 52-card playing card deck. The following table shows the median hand in Texas Hold 'Em by the number of players. So, you look at other equations in this calculator to see what are the odds of you next card giving you a better hand. Example of flush is (2, 5, 6, 9, Q ~ a diamond flush). In this lesson, we will compute probabilities for both types of flush. objects taken r at a time is. . vCalc's calculators can combine equations in algebraic combinations so the fraction version of the hand probabilities can be used in performing more complex calculations if you like.

$P_1 = \dfrac{^{13}C_5}{^{52}C_5} = \dfrac{33}{66,640}$, For 4 suits Good luck to you!Ideal for taking your loose change with you wherever you go. To achieve a flush, youll need any five cards within the same suit. (See Probabilities for 5 card poker hands with misc. The next table shows the combinations and probability with two fully-wild jokers. Although I strongly feel poker based games should be played with only one deck, I will submit to the will of my readers and present the following tables. This table assumes that nobody ever folds. You have the possibilities $A2345,23456,34567,\dots,10~JQKA$ for a total of, It is more common to refer to the card as an Ace rather than as a number 1.