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Poker Variations Probability

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Probability and gambling have been an idea since long before the invention of poker. The development of probability theory in the late 1400s was attributed to gambling; when playing a game with high stakes, players wanted to know what the chance of winning would be.

This post works with 5-card Poker hands drawn from a standard deck of 52 cards. The discussion is mostly mathematical, using the Poker hands to illustrate counting techniques and calculation of probabilities

Working with poker hands is an excellent way to illustrate the counting techniques covered previously in this blog – multiplication principle, permutation and combination (also covered here). There are 2,598,960 many possible 5-card Poker hands. Thus the probability of obtaining any one specific hand is 1 in 2,598,960 (roughly 1 in 2.6 million). The probability of obtaining a given type of hands (e.g. three of a kind) is the number of possible hands for that type over 2,598,960. Thus this is primarily a counting exercise.

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Preliminary Calculation

Usually the order in which the cards are dealt is not important (except in the case of stud poker). Thus the following three examples point to the same poker hand. The only difference is the order in which the cards are dealt.

  • There are many entertaining, wild and unique variations of poker that can be played and almost all the hybrid games follow one standard form of poker, albeit loosely. Read more Starting Hands in Omaha/8.
  • This page is the base for the rules associated with many variations of poker. Normally people consider five card draw the original poker. It is from the ranking of hands in five card draw that most other games are derived from. Indeed this is one of the nice things about poker: there are lots of different poker games and variations to play.

These are the same hand. Order is not important.

There are 2,598,960 many possible 5-card Poker hands. Thus the probability of obtaining any one specific hand is 1 in 2,598,960 (roughly 1 in 2.6 million). The probability of obtaining a given type of hands (e.g. Three of a kind) is the number of possible hands for that type over 2,598,960. Thus this is primarily a counting exercise. A 'poker hand' consists of 5 unordered cards from a standard deck of 52. There are 52 5 = 2,598,9604 possible poker hands. Below, we calculate the probability of each of the standard kinds of poker hands. This hand consists of values 10,J,Q,K,A, all of the same suit. Since the values are fixed, we only need to choose the suit.

The number of possible 5-card poker hands would then be the same as the number of 5-element subsets of 52 objects. The following is the total number of 5-card poker hands drawn from a standard deck of 52 cards.

The notation is called the binomial coefficient and is pronounced 'n choose r', which is identical to the number of -element subsets of a set with objects. Other notations for are , and . Many calculators have a function for . Of course the calculation can also be done by definition by first calculating factorials.

Thus the probability of obtaining a specific hand (say, 2, 6, 10, K, A, all diamond) would be 1 in 2,598,960. If 5 cards are randomly drawn, what is the probability of getting a 5-card hand consisting of all diamond cards? It is

This is definitely a very rare event (less than 0.05% chance of happening). The numerator 1,287 is the number of hands consisting of all diamond cards, which is obtained by the following calculation.

The reasoning for the above calculation is that to draw a 5-card hand consisting of all diamond, we are drawing 5 cards from the 13 diamond cards and drawing zero cards from the other 39 cards. Since (there is only one way to draw nothing), is the number of hands with all diamonds.

If 5 cards are randomly drawn, what is the probability of getting a 5-card hand consisting of cards in one suit? The probability of getting all 5 cards in another suit (say heart) would also be 1287/2598960. So we have the following derivation.

Thus getting a hand with all cards in one suit is 4 times more likely than getting one with all diamond, but is still a rare event (with about a 0.2% chance of happening). Some of the higher ranked poker hands are in one suit but with additional strict requirements. They will be further discussed below.

Another example. What is the probability of obtaining a hand that has 3 diamonds and 2 hearts? The answer is 22308/2598960 = 0.008583433. The number of '3 diamond, 2 heart' hands is calculated as follows:

One theme that emerges is that the multiplication principle is behind the numerator of a poker hand probability. For example, we can think of the process to get a 5-card hand with 3 diamonds and 2 hearts in three steps. The first is to draw 3 cards from the 13 diamond cards, the second is to draw 2 cards from the 13 heart cards, and the third is to draw zero from the remaining 26 cards. The third step can be omitted since the number of ways of choosing zero is 1. In any case, the number of possible ways to carry out that 2-step (or 3-step) process is to multiply all the possibilities together.

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The Poker Hands

Here's a ranking chart of the Poker hands.

The chart lists the rankings with an example for each ranking. The examples are a good reminder of the definitions. The highest ranking of them all is the royal flush, which consists of 5 consecutive cards in one suit with the highest card being Ace. There is only one such hand in each suit. Thus the chance for getting a royal flush is 4 in 2,598,960.

Royal flush is a specific example of a straight flush, which consists of 5 consecutive cards in one suit. There are 10 such hands in one suit. So there are 40 hands for straight flush in total. A flush is a hand with 5 cards in the same suit but not in consecutive order (or not in sequence). Thus the requirement for flush is considerably more relaxed than a straight flush. A straight is like a straight flush in that the 5 cards are in sequence but the 5 cards in a straight are not of the same suit. For a more in depth discussion on Poker hands, see the Wikipedia entry on Poker hands.

The counting for some of these hands is done in the next section. The definition of the hands can be inferred from the above chart. For the sake of completeness, the following table lists out the definition.


Definitions of Poker Hands

Poker HandDefinition
1Royal FlushA, K, Q, J, 10, all in the same suit
2Straight FlushFive consecutive cards,
all in the same suit
3Four of a KindFour cards of the same rank,
one card of another rank
4Full HouseThree of a kind with a pair
5FlushFive cards of the same suit,
not in consecutive order
6StraightFive consecutive cards,
not of the same suit
7Three of a KindThree cards of the same rank,
2 cards of two other ranks
8Two PairTwo cards of the same rank,
two cards of another rank,
one card of a third rank
9One PairThree cards of the same rank,
3 cards of three other ranks
10High CardIf no one has any of the above hands,
the player with the highest card wins

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Counting Poker Hands

Poker Variations Probability Calculator

Straight Flush
Counting from A-K-Q-J-10, K-Q-J-10-9, Q-J-10-9-8, …, 6-5-4-3-2 to 5-4-3-2-A, there are 10 hands that are in sequence in a given suit. So there are 40 straight flush hands all together.

Four of a Kind
There is only one way to have a four of a kind for a given rank. The fifth card can be any one of the remaining 48 cards. Thus there are 48 possibilities of a four of a kind in one rank. Thus there are 13 x 48 = 624 many four of a kind in total.

Full House
Let's fix two ranks, say 2 and 8. How many ways can we have three of 2 and two of 8? We are choosing 3 cards out of the four 2's and choosing 2 cards out of the four 8's. That would be = 4 x 6 = 24. But the two ranks can be other ranks too. How many ways can we pick two ranks out of 13? That would be 13 x 12 = 156. So the total number of possibilities for Full House is

Note that the multiplication principle is at work here. When we pick two ranks, the number of ways is 13 x 12 = 156. Why did we not use = 78?

Flush
There are = 1,287 possible hands with all cards in the same suit. Recall that there are only 10 straight flush on a given suit. Thus of all the 5-card hands with all cards in a given suit, there are 1,287-10 = 1,277 hands that are not straight flush. Thus the total number of flush hands is 4 x 1277 = 5,108.

Straight
There are 10 five-consecutive sequences in 13 cards (as shown in the explanation for straight flush in this section). In each such sequence, there are 4 choices for each card (one for each suit). Thus the number of 5-card hands with 5 cards in sequence is . Then we need to subtract the number of straight flushes (40) from this number. Thus the number of straight is 10240 – 10 = 10,200.

Three of a Kind
There are 13 ranks (from A, K, …, to 2). We choose one of them to have 3 cards in that rank and two other ranks to have one card in each of those ranks. The following derivation reflects all the choosing in this process.

Two Pair and One Pair
These two are left as exercises.

High Card
The count is the complement that makes up 2,598,960.

The following table gives the counts of all the poker hands. The probability is the fraction of the 2,598,960 hands that meet the requirement of the type of hands in question. Note that royal flush is not listed. This is because it is included in the count for straight flush. Royal flush is omitted so that he counts add up to 2,598,960.


Probabilities of Poker Hands

Poker HandCountProbability
2Straight Flush400.0000154
3Four of a Kind6240.0002401
4Full House3,7440.0014406
5Flush5,1080.0019654
6Straight10,2000.0039246
7Three of a Kind54,9120.0211285
8Two Pair123,5520.0475390
9One Pair1,098,2400.4225690
10High Card1,302,5400.5011774
Total2,598,9601.0000000

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2017 – Dan Ma

Poker, in general, has many variations and each one of the variations is fun to play. So, if you're new to poker and has only heard of Texas Hold'em( which is the most popular variant of them all), then you're in for a hell of a surprise.

All the Variations of poker are super fun and you'll have a really good time playing all these games. All the seven variants that I'm mentioning here are pretty well-known and are played all over the world. This includes all the casinos that are present across the world.

Popular Variations of Poker played right now

1) Texas Hold'em Poker

Texas Hold'em poker stands first in the list and is the most popular variations of poker that exists. It is played in each and every casino that is present and is played the most among the players.

If you're new to poker and is looking to play, then Texas Hold'em poker is the best choice to do so. The rules of Texas Hold'em is the basis for all the other variations of poker I'm mentioning below. It is also really fun to play and hands down the best variations of poker.

Poker Variations Probability

Rules

The rules of the game are very easy to understand and once you learn them, then you can start playing the game immediately.

  1. Texas Hold'em is played between 2-9 players and each player is dealt with 2 cards facing down.
  2. To deal with the cards a dealer will be present. If there is no dealer then a dealer button is placed in front of one player and the cards are dealt from him and in the clockwise direction. After each hand, the dealer button moves one step in the clockwise direction.
  3. The two players left of the dealer has to pay the small and the big blind respectively. These are the minimum bets that every player must pay in order to play the hand. The small and the big blind has to be placed without even seeing their cards.
  4. The person sitting to the left of Big blind starts the game and he can bet the minimum amount or fold his hand. After he has played the same is repeated for the remaining players in the clockwise direction.
  5. After each one of them bets then three cards are dealt on the table facing up and is known as the flop. After seeing the flop each player can bet, check or fold.
  6. Similarly, a fourth card is dealt on the table facing up after each one of the players bet and is known as the turn card. Again each player can check, bet or fold his hand.
  7. After the betting is finished, a fifth card is dealt on the table facing up and is known as the River. Again each player can check, bet or fold his hand.
  8. After the betting, the winner is decided and the player that betted last has to show his card if he has the better hand than the other players, he wins everything that is present on the table.

Related: Check out the Hands ranking that will decide who is going to win.

2) Omaha Hold'em Poker

Omaha Poker is also a very popular form of poker and is played all over the world. Omaha Poker is the second most popular variations of poker. Omaha poker is pretty much similar to Texas Hold'em Poker in many ways. It is a very action-packed game where the position of the players become important when it comes to winning a hand. The major difference between Texas Hold'em and Omaha Poker is that each player is dealt with four hole cards instead of two.

There is three variant of Omaha Poker that is played.

  1. Pot-limit Omaha (meaning you can bet what is in the pot).
  2. No-limit Omaha (meaning you can bet all of your chips at any time).
  3. Limit Omaha (meaning there is a specific betting limit applied in each game and on each round of betting).

Among these Pot-Limit Omaha is the most popular one that is played a lot.

Rules

As mentioned earlier, Omaha poker is similar to Texas Hold'em. In Omaha poker, a total of four rounds of betting happens and after the final round of betting the winner is decided.

  1. The game is played between 2-10 players and each player is dealt with four hole cards facing down.
  2. Since in Omaha Poker, the position of the players affects the game, a 'dealer puck' is placed in front of one player. This puck will determine the order of play for the coming hands. After each hand, the dealer puck moves in the clockwise direction to ensure fairness to all the players involved in the game.
  3. The two players sitting left of the Dealer puck has to pay the 'Blinds'. There are two blinds present, i.e, Big Blind and Small Blind. The blinds in general, are the minimum cost that must be paid before the cards are dealt with. The person sitting immediate left of the Dealer Puck has to pay the Small Blind( Half of the minimum cost) and the person left of Small Blind has to pay the Big Blind( Equal to the minimum cost).
  4. After the two players sitting left of the dealer places the blinds, the hole cards are now distributed to all the players playing the game. After seeing the cards, the remaining players have to pay to match the big blind. The player sitting left of Big Blind starts the game.
  5. Each player can bet, raise or fold. There is a maximum of one bet followed by three additional raises in each round.
  6. After the first round of betting, three cards are placed on the table facing up known as the Flop, similar to Texas Hold'em. These cards are called as the community cards.
  7. The betting continues as the previous round in the clockwise direction starting from the left of Dealer Button.
  8. After the second round of betting is over a fourth community card is dealt facing the table known as the Turn card. The betting continues as the previous round in the clockwise direction starting from the left of Dealer Button.
  9. After the third round of betting is over a fifth community card is dealt on the table facing up, known as the River. This is carried by the fourth and the final betting round similar to the previous rounds.
  10. After the final round of betting is over the remaining players will show their cards to see who won. To decide on the winner, the two of the four hole cards and three of the five community cards are used. The player with the best five cards wins.

3) 7 Card Stud

7 Card Stud is the third most popular variations of poker and is played in almost all the casinos. It is very easy to learn but to master it is another thing. You need to have a good memory in order to play well in this poker variant.

There are no community cards dealt on the table, but instead, all the players receive 7 cards, 3 facing down and 4 facing up. Hence if you need to play well, you need to memorize the other players face-up cards. This is the reason I mentioned you need a good memory power to play the game.

Rules

  1. The game is played between 2-8 players and each player is dealt with 7 cards, 3 facing down and 4 facing up.
  2. Before the cards are distributed, each player must pay an ante which is usually 1/10th of the minimum betting size.
  3. After the ante is paid, each player receives 3 cards, 2 facing down and 1 facing up.
  4. The player with the lowest (value) face-up card will start the game and must pay the minimum bet which is called the 'Bring it in'. He can even bet double of the bring-in amount. But, the player to start cannot fold.
  5. The betting continues in the clockwise direction with each player having the option to fold or pay the bring-in amount. They can also bet the double of the bring-in amount similar to the player that starts the game.
  6. After everyone has played their turn, a 4th card is dealt with all the players face-up called the Fourth Street.
  7. The player with the highest value hand with their face-up cards has to start the bet now. After him, the remaining players will play in the clockwise direction similar to the last round.
  8. After everyone has played their turn a 5th card is dealt facing up to all the players. This card is called Fifth Street. Similarly, after each one has bet similar to the previous round a 6th card is dealt with all the players facing up known as the Sixth Street.
  9. Now after everyone plays after the sixth card, the seventh street is dealt with all the remaining players face-down.
  10. Anyone still in the hand after the final betting ( Betting after the seventh street is dealt) must show their hands and the person with the best five-card wins the hand and takes all the money from the table. After that, the next hand starts.

4) Chinese Poker

Chinese Poker is the fourth most popular variations of poker and is played all over the world. As the name suggests, it was originated from China and is very popular among Chinese.

The final hand won is decided by thepoker hand rankings similar to Texas Hold'em Poker. This variation of poker is a bit different from the others but super fun.

Rules

  1. The game is played between 2-4 players and each of the player receive 13 cards face-down. That's right… 13 cards, not 2, not 7 but 13.
  2. There are no betting rounds in this variation of poker but instead, each player must agree to a certain value (Amount) before they play the hand.
  3. After the players receive their 13 cards they must arrange these cards into 3 groups of 3 different hands.
  4. The first hand or group must include 3 cards and these cards must be the worst of the 13 cards. This hand is called the Front Hand or the Top Hand.
  5. The second hand or group must include 5 cards and these cards must be better than the first hand but worse than the third hand. This hand is called the Middle Hand.
  6. The third hand or group must also include 5 cards and these cards have to be the best hand among the other 2 groups. This hand is called the Bottom Hand.
  7. After each player decides their hands they place the cards face-up on the table with the remaining players doing the same.
  8. Each player scores each hand against the corresponding hand of each other player.
  9. You win one point for each hand you win against other players. The player that wins the most hand wins that round. There are also bonus points for players that win all three of their hands with the other player. Winning all three hands are known as Scoop.

There is another variant of Chinese Poker called as the Open-face Chinese Poker. This version is even more complicated than the normal version. There is a slight variation of rules for this version. The rules are mentioned below.

  • Each player is dealt with 5 cards first instead of 13 and they must build the top hand (including 3 cards) with those five cards.
  • After that, each player draws one card per turn from the deck and continues to build their hands to complete Middle Hand and the Bottom Hand.
  • There are way more decisions and excitement since you have to draw each card one at a time.
Poker variations probability definition

Rules

The rules of the game are very easy to understand and once you learn them, then you can start playing the game immediately.

  1. Texas Hold'em is played between 2-9 players and each player is dealt with 2 cards facing down.
  2. To deal with the cards a dealer will be present. If there is no dealer then a dealer button is placed in front of one player and the cards are dealt from him and in the clockwise direction. After each hand, the dealer button moves one step in the clockwise direction.
  3. The two players left of the dealer has to pay the small and the big blind respectively. These are the minimum bets that every player must pay in order to play the hand. The small and the big blind has to be placed without even seeing their cards.
  4. The person sitting to the left of Big blind starts the game and he can bet the minimum amount or fold his hand. After he has played the same is repeated for the remaining players in the clockwise direction.
  5. After each one of them bets then three cards are dealt on the table facing up and is known as the flop. After seeing the flop each player can bet, check or fold.
  6. Similarly, a fourth card is dealt on the table facing up after each one of the players bet and is known as the turn card. Again each player can check, bet or fold his hand.
  7. After the betting is finished, a fifth card is dealt on the table facing up and is known as the River. Again each player can check, bet or fold his hand.
  8. After the betting, the winner is decided and the player that betted last has to show his card if he has the better hand than the other players, he wins everything that is present on the table.

Related: Check out the Hands ranking that will decide who is going to win.

2) Omaha Hold'em Poker

Omaha Poker is also a very popular form of poker and is played all over the world. Omaha Poker is the second most popular variations of poker. Omaha poker is pretty much similar to Texas Hold'em Poker in many ways. It is a very action-packed game where the position of the players become important when it comes to winning a hand. The major difference between Texas Hold'em and Omaha Poker is that each player is dealt with four hole cards instead of two.

There is three variant of Omaha Poker that is played.

  1. Pot-limit Omaha (meaning you can bet what is in the pot).
  2. No-limit Omaha (meaning you can bet all of your chips at any time).
  3. Limit Omaha (meaning there is a specific betting limit applied in each game and on each round of betting).

Among these Pot-Limit Omaha is the most popular one that is played a lot.

Rules

As mentioned earlier, Omaha poker is similar to Texas Hold'em. In Omaha poker, a total of four rounds of betting happens and after the final round of betting the winner is decided.

  1. The game is played between 2-10 players and each player is dealt with four hole cards facing down.
  2. Since in Omaha Poker, the position of the players affects the game, a 'dealer puck' is placed in front of one player. This puck will determine the order of play for the coming hands. After each hand, the dealer puck moves in the clockwise direction to ensure fairness to all the players involved in the game.
  3. The two players sitting left of the Dealer puck has to pay the 'Blinds'. There are two blinds present, i.e, Big Blind and Small Blind. The blinds in general, are the minimum cost that must be paid before the cards are dealt with. The person sitting immediate left of the Dealer Puck has to pay the Small Blind( Half of the minimum cost) and the person left of Small Blind has to pay the Big Blind( Equal to the minimum cost).
  4. After the two players sitting left of the dealer places the blinds, the hole cards are now distributed to all the players playing the game. After seeing the cards, the remaining players have to pay to match the big blind. The player sitting left of Big Blind starts the game.
  5. Each player can bet, raise or fold. There is a maximum of one bet followed by three additional raises in each round.
  6. After the first round of betting, three cards are placed on the table facing up known as the Flop, similar to Texas Hold'em. These cards are called as the community cards.
  7. The betting continues as the previous round in the clockwise direction starting from the left of Dealer Button.
  8. After the second round of betting is over a fourth community card is dealt facing the table known as the Turn card. The betting continues as the previous round in the clockwise direction starting from the left of Dealer Button.
  9. After the third round of betting is over a fifth community card is dealt on the table facing up, known as the River. This is carried by the fourth and the final betting round similar to the previous rounds.
  10. After the final round of betting is over the remaining players will show their cards to see who won. To decide on the winner, the two of the four hole cards and three of the five community cards are used. The player with the best five cards wins.

3) 7 Card Stud

7 Card Stud is the third most popular variations of poker and is played in almost all the casinos. It is very easy to learn but to master it is another thing. You need to have a good memory in order to play well in this poker variant.

There are no community cards dealt on the table, but instead, all the players receive 7 cards, 3 facing down and 4 facing up. Hence if you need to play well, you need to memorize the other players face-up cards. This is the reason I mentioned you need a good memory power to play the game.

Rules

  1. The game is played between 2-8 players and each player is dealt with 7 cards, 3 facing down and 4 facing up.
  2. Before the cards are distributed, each player must pay an ante which is usually 1/10th of the minimum betting size.
  3. After the ante is paid, each player receives 3 cards, 2 facing down and 1 facing up.
  4. The player with the lowest (value) face-up card will start the game and must pay the minimum bet which is called the 'Bring it in'. He can even bet double of the bring-in amount. But, the player to start cannot fold.
  5. The betting continues in the clockwise direction with each player having the option to fold or pay the bring-in amount. They can also bet the double of the bring-in amount similar to the player that starts the game.
  6. After everyone has played their turn, a 4th card is dealt with all the players face-up called the Fourth Street.
  7. The player with the highest value hand with their face-up cards has to start the bet now. After him, the remaining players will play in the clockwise direction similar to the last round.
  8. After everyone has played their turn a 5th card is dealt facing up to all the players. This card is called Fifth Street. Similarly, after each one has bet similar to the previous round a 6th card is dealt with all the players facing up known as the Sixth Street.
  9. Now after everyone plays after the sixth card, the seventh street is dealt with all the remaining players face-down.
  10. Anyone still in the hand after the final betting ( Betting after the seventh street is dealt) must show their hands and the person with the best five-card wins the hand and takes all the money from the table. After that, the next hand starts.

4) Chinese Poker

Chinese Poker is the fourth most popular variations of poker and is played all over the world. As the name suggests, it was originated from China and is very popular among Chinese.

The final hand won is decided by thepoker hand rankings similar to Texas Hold'em Poker. This variation of poker is a bit different from the others but super fun.

Rules

  1. The game is played between 2-4 players and each of the player receive 13 cards face-down. That's right… 13 cards, not 2, not 7 but 13.
  2. There are no betting rounds in this variation of poker but instead, each player must agree to a certain value (Amount) before they play the hand.
  3. After the players receive their 13 cards they must arrange these cards into 3 groups of 3 different hands.
  4. The first hand or group must include 3 cards and these cards must be the worst of the 13 cards. This hand is called the Front Hand or the Top Hand.
  5. The second hand or group must include 5 cards and these cards must be better than the first hand but worse than the third hand. This hand is called the Middle Hand.
  6. The third hand or group must also include 5 cards and these cards have to be the best hand among the other 2 groups. This hand is called the Bottom Hand.
  7. After each player decides their hands they place the cards face-up on the table with the remaining players doing the same.
  8. Each player scores each hand against the corresponding hand of each other player.
  9. You win one point for each hand you win against other players. The player that wins the most hand wins that round. There are also bonus points for players that win all three of their hands with the other player. Winning all three hands are known as Scoop.

There is another variant of Chinese Poker called as the Open-face Chinese Poker. This version is even more complicated than the normal version. There is a slight variation of rules for this version. The rules are mentioned below.

  • Each player is dealt with 5 cards first instead of 13 and they must build the top hand (including 3 cards) with those five cards.
  • After that, each player draws one card per turn from the deck and continues to build their hands to complete Middle Hand and the Bottom Hand.
  • There are way more decisions and excitement since you have to draw each card one at a time.

5) Five-card Draw

Five-card draw poker is the fifth most popular variations of poker and is more popular as a home game than casinos. You'll rarely see these games in casinos, but is popular online where you'll find plenty of tournaments going on.

The winning hand is decided by the same rules as the Texas Hold'em. There is a dealer button and the small and the big blind left of the dealer just like Texas Hold'em Poker.

Rules

  1. The game is played between 2-4 players and each one of the players receives 5 cards face-down. The player left of the big blind starts the game by betting the big blind amount or Folding his hand. He can even raise the amount if he wants to.
  2. After every player has played, each one of the players gets the option to exchange their cards for new cards if they want to. They can exchange as many cards as they want. The player to start the exchange is the player sitting to the left of the dealer.
  3. After the exchange, there is another round of betting starting with the player sitting left of the Dealer Button.
  4. After the betting is finished, the remaining players must show their cards to the other players. The player with the best hand wins the pot and the next hand gets started.

This is one of the unique variations of poker where you get to play with two hands if you want to. Super fun and easy to understand.

6) Razz

Razz is the sixth most popular variations of poker and is similar to the 7 card stud. Even in this variant of poker, we get 7 cards and we try to win the hand in the end by choosing only 5 of those 7 cards. Razz is a lowball poker game which means the card and hand rankings are flipped upside down. Aces are of low value in Razz and Flushes and Straights doesn't count.

The lowest value hand in Razz is A-2-3-4-5.

Rules

  1. The game is played between 2-8 players and each player is dealt with 7 cards, 3 facing down and 4 facing up.
  2. Before the cards are distributed, each player must pay an ante which is usually 1/10th of the minimum betting size.
  3. After the ante is paid, each player receives 3 cards, 2 facing down and 1 facing up.
  4. The player with the highest (value) face-up card will start the game and must pay the minimum bet which is called the 'Bring it in'. He can even bet double of the bring-in amount. But, the player to start cannot fold.
  5. The betting continues in the clockwise direction with each player having the option to fold or pay the bring-in amount. They can also bet the double of the bring-in amount similar to the player that starts the game.
  6. After everyone has played their turn, a 4th card is dealt with all the players face-up called the Fourth Street.
  7. The player with the lowest value hand with their face-up cards has to start the bet now. After him, the remaining players will play in the clockwise direction similar to the last round.
  8. After everyone has played their turn a 5th card is dealt facing up to all the players. This card is called Fifth Street. Similarly, after each one has bet similar to the previous round a 6th card is dealt with all the players facing up known as the Sixth Street.
  9. Now after everyone plays after the sixth card, the seventh street is dealt with all the remaining players face-down.
  10. Anyone still in the hand after the final betting ( Betting after the seventh street is dealt) must show their hands and the person with the lowest value five-card (The best lowball hand) wins the hand and takes all the money from the table. After that, the next hand starts.

Note: Razz is pretty unique variations of poker where the Poker Hands are reversed.

7) 2-7 Triple Draw

2-7 Triple Draw is the 7th most popular variations of poker. It is usually not found in many casinos but is very popular online. You can play plenty of online tournaments and compete with the best in the world.

The 2-7 triple draw is also similar to the 5 card poker where you receive 5 cards in the beginning face-down. But the winner, in the end, is decided by the worst possible hand in poker. Therefore the best hand in 2-7 Triple draw is the 2-3-4-5-7. Hence the name 2-7. Triple draw suggests that you can exchange your cards 3 times instead of once as in 5 card draw.

To better understand the game you can watch this video tutorial. This is one of the most unique variations of poker and hard to master.

Rules

There are 4 betting rounds that happen in 2-7 Triple draw.

    1. The game is played between 2 – 4 players and each player gets 5 cards face-down. There is a dealer similar to Texas Hold'em. To the left of the dealer Small and the Big blind sits. The player sitting to the left of the Big Blind starts the game
    2. After the betting rounds, each player can draw up to five new cards. There are four betting rounds and three draws. Triple Draw is played with fixed betting limits.
    3. After the final betting round, players still in must show down their cards to see who wins. The player with the lowest value hand wins.

Poker Variations Probability Definition

These were the most popular variations of poker and their rules.

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Poker Variations Probability Rules

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Poker Variations Probability Games

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I am the owner of the site rohithebbar.com. I love playing poker and other card games.

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