## 5 Hand Poker

Five-card draw is a poker variant that is considered the simplest variant of poker, and is the basis for video poker. As a result, it is often the first variant learned by new players. It is commonly played in home games but rarely played in casino and tournament play. The variant is also offered by some online venues, although it is not as popular as other variants such as seven-card stud and Texas hold 'em. Five Hand Poker - five hand poker. Considered as the one of the oldest poker forms and was by far popular internationally until the emergence of Texas Hold’em, which dominated the betting scene at the end of 20th century, Five Hand Poker will be described first and then followed by few variations with additional opening conditions, wide cards or winning conditions.

## POKER PROBABILITIES

- Texas Hold'em Poker

Texas Hold'em Poker probabilities - Omaha Poker

Omaha Poker probabilities - 5 Card Poker

5 Card Poker probabilities

## POKER CALCULATOR

- Poker calculator

Poker odds calculator

## POKER INFORMATION

- Poker hand rankings

Ranking of poker hands

In poker, the probability of each type of 5-card hand can be computed by calculating the proportion of hands of that type among all possible hands.

## Frequency of 5-card poker hands

The following enumerates the (absolute) frequency of each hand, given all combinations of 5 cards randomly drawn from a full deck of 52 without replacement. Wild cards are not considered. The probability of drawing a given hand is calculated by dividing the number of ways of drawing the hand by the total number of 5-card hands (the sample space, five-card hands). The odds are defined as the ratio *(1/p) - 1 : 1*, where *p* is the probability. Note that the cumulative column contains the probability of being dealt that hand or any of the hands ranked higher than it. (The frequencies given are exact; the probabilities and odds are approximate.)

The *nCr* function on most scientific calculators can be used to calculate hand frequencies; entering nCr with 52 and 5, for example, yields as above.

Hand | Frequency | Approx. Probability | Approx. Cumulative | Approx. Odds | Mathematical expression of absolute frequency |
---|---|---|---|---|---|

Royal flush | 4 | 0.000154% | 0.000154% | 649,739 : 1 | |

Straight flush (excluding royal flush) | 36 | 0.00139% | 0.00154% | 72,192.33 : 1 | |

Four of a kind | 624 | 0.0240% | 0.0256% | 4,164 : 1 | |

Full house | 3,744 | 0.144% | 0.170% | 693.2 : 1 | |

Flush (excluding royal flush and straight flush) | 5,108 | 0.197% | 0.367% | 507.8 : 1 | |

Straight (excluding royal flush and straight flush) | 10,200 | 0.392% | 0.76% | 253.8 : 1 | |

Three of a kind | 54,912 | 2.11% | 2.87% | 46.3 : 1 | |

Two pair | 123,552 | 4.75% | 7.62% | 20.03 : 1 | |

One pair | 1,098,240 | 42.3% | 49.9% | 1.36 : 1 | |

No pair / High card | 1,302,540 | 50.1% | 100% | .995 : 1 | |

Total | 2,598,960 | 100% | 100% | 1 : 1 |

The royal flush is a case of the straight flush. It can be formed 4 ways (one for each suit), giving it a probability of 0.000154% and odds of 649,739 : 1.

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. The 4 missed straight flushes become flushes and the 1,020 missed straights become no pair.

Oregon video lottery open. Note that since suits have no relative value in poker, two hands can be considered identical if one hand can be transformed into the other by swapping suits. For example, the hand **3♣ 7♣ 8♣ Q♠ A♠** is identical to **3♦ 7♦ 8♦ Q♥ A♥** because replacing all of the clubs in the first hand with diamonds and all of the spades with hearts produces the second hand. So eliminating identical hands that ignore relative suit values, there are only 134,459 distinct hands.

The number of distinct poker hands is even smaller. For example, **3♣ 7♣ 8♣ Q♠ A♠** and **3♦ 7♣ 8♦ Q♥ A♥** are not identical hands when just ignoring suit assignments because one hand has three suits, while the other hand has only two—that difference could affect the relative value of each hand when there are more cards to come. However, even though the hands are not identical from that perspective, they still form equivalent poker hands because each hand is an **A-Q-8-7-3** high card hand. There are 7,462 distinct poker hands.

### Derivation of frequencies of 5-card poker hands

of the binomial coefficients and their interpretation as the number of ways of choosing elements from a given set. See also: sample space and event (probability theory).

*Straight flush*— Each straight flush is uniquely determined by its highest ranking card; and these ranks go from**5**(**A-2-3-4-5**) up to**A**(**10-J-Q-K-A**) in each of the 4 suits. Thus, the total number of straight flushes is:*Royal straight flush*— A royal straight flush is a subset of all straight flushes in which the ace is the highest card (ie**10-J-Q-K-A**in any of the four suits). Thus, the total number of royal straight flushes is- or simply .
*Note*: this means that the total number of non-Royal straight flushes is 36.

- or simply .

*Four of a kind*— Any one of the thirteen ranks can form the four of a kind by selecting all four of the suits in that rank. The final card can have any one of the twelve remaining ranks, and any suit. Thus, the total number of four-of-a-kinds is:

*Full house*— The full house comprises a triple (three of a kind) and a pair. The triple can be any one of the thirteen ranks, and consists of three of the four suits. The pair can be any one of the remaining twelve ranks, and consists of two of the four suits. Thus, the total number of full houses is:

*Flush*— The flush contains any five of the thirteen ranks, all of which belong to one of the four suits, minus the 40 straight flushes. Thus, the total number of flushes is:

*Straight*— The straight consists of any one of the ten possible sequences of five consecutive cards, from**5-4-3-2-A**to**A-K-Q-J-10**. Each of these five cards can have any one of the four suits. Finally, as with the flush, the 40 straight flushes must be excluded, giving:

*Three of a kind*— Any of the thirteen ranks can form the three of a kind, which can contain any three of the four suits. The remaining two cards can have any two of the remaining twelve ranks, and each can have any of the four suits. Thus, the total number of three-of-a-kinds is:

*Two pair*— The pairs can have any two of the thirteen ranks, and each pair can have two of the four suits. The final card can have any one of the eleven remaining ranks, and any suit. Thus, the total number of two-pairs is:

*Pair*— The pair can have any one of the thirteen ranks, and any two of the four suits. The remaining three cards can have any three of the remaining twelve ranks, and each can have any of the four suits. Thus, the total number of pair hands is:

*No pair*— A no-pair hand contains five of the thirteen ranks, discounting the ten possible straights, and each card can have any of the four suits, discounting the four possible flushes. Alternatively, a no-pair hand is any hand that does not fall into one of the above categories; that is, any way to choose five out of 52 cards, discounting all of the above hands. Thus, the total number of no-pair hands is:

*Any five card poker hand*— The total number of five card hands that can be drawn from a deck of cards is found using a combination selecting five cards, in any order where n refers to the number of items that can be selected and r to the sample size; the '!' is the factorial operator:

This guide is licensed under the GNU Free Documentation License. It uses material from the Wikipedia.

Home > 5 Card Poker probabilities

## 5 Hand Poker Rules

If you’re a fan of video poker, you’ll be an even bigger fan of this **IGT game** – you’ll get to play five hands at once. Instead of just one video poker format, here you’ll get to choose from a selection of nine different games. So, whether you like **Jacks or Better**, **Deuces Wild** or **Joker Poker** they are all available to be played here.

As you get to know the different formats, you’ll be able to choose a balance between lower house edge and big payout opportunities which suits you best. Five Play Draw Poker includes popular games like Jacks or Better and Deuces Wild – alongside bonus poker variants which offer multipliers for an extra credit.

IGT’s Five Play Draw Poker is now online in states with legal online casinos such as New Jersey and Pennsylvania. This guide starts by detailing exactly how the game plays out, before looking at each of the nine available games individually. The ‘**Ultimate X**’ version of the game, available in some casinos, is detailed at the end.

## How to Play Five Play Draw Video Poker

The first thing you’ll need to decide when playing Five Play Draw Poker is which of the nine games you’d like to play.

All of the popular video poker varieties are in there. Having chosen your game, you’ll need to choose your stake. It’s always a good thing to play for the maximum bet size of 5 coins, as the house edge is smaller if you do (always play a bet size of 5 for $1, as opposed to a bet size of 1 for $5).

What sets this version of the game apart from other video poker varieties is that you will always play 5 hands at once. You’ll receive just one set of your original five cards, with the same ‘held’ cards appearing across all of your 5 hands. Then the discarded cards are then replaced across all five hands. The good news is that a good starting hand can ensure guaranteed wins across all five hands.

For example, if your original 5 cards included **three 5s** when playing Jacks or Better, you are guaranteed at least a 3 of a kind win on all hands. These hands can only improve too, with some turning into full houses, while others could improve to 4 of a kind wins.

When playing Five Play Draw Poker you have to bear in mind that you are paying 5x the stake over a standard game, due to playing 5 hands. You might therefore want to lower your stake to counter this increase.

## Which Games are Available in Five Play Video Poker?

*Here’s a list of each of the available games in IGT’s Five Play Draw Poker, with a brief explanation of each:*

**Jacks or Better**– This is the most well-known of all the video poker varieties. In this game, as the name implies, you’ll need a pair of jacks or better to win.**Bonus Poker**– In this version, you’ll receive higher pay outs for select 4 of a kind hands, with 4 Aces being the highest paying hand.**Bonus Poker Deluxe**– This is the most straightforward of the bonus games, with an enhanced pay out for any 4 of a kind hands.**Double Bonus Poker**– The 4 of a kind wins are split into three groups here, with even bigger wins on the table.**Double Double Bonus Poker**– With more chances for big wins, the kickers that go alongside your 4 of a kind wins can make a big difference to your pay out.**Triple Double Bonus Poker**– Once again kickers come into play in this high-volatility game. Land the right combination of 4 of a kind and kicker and you can win as much as you do for a royal flush.**Deuces Wild**– Another popular form of the game, where all 2s that are dealt become wild. This makes for an entertaining game, where bigger hands are the order of the day.**Deuces Wild Bonus**– This enhanced version of Deuces Wild offers increased prizes for 4 and 5 of a kind wins.**Joker Poker**– Similar to deuces wild, except this time, the single joker in the pack acts as the wild card.

While all of the games play in a very similar way, the pay tables will differ in each. In deuces wild, for example, it is that much easier to land a big hand than it is in Jacks or Better, simply due to the addition of those 4 wild cards. This is reflected in those pay tables, where you’ll win more for the same hand in Jacks or Better.

There are minor variations in strategy for the bonus games. When it comes to the games with wilds (Deuces Wild and Joker Poker), your strategy on which cards to hold will change significantly when your initial deal includes a wild.

## Ultimate X Five Play Draw Poker

If you play this version of the 5 Play Draw video poker, you can enable a side bet which is equal to the bet amount in play. If you land a winning hand, award multipliers are applied to the next hand which can greatly increase the win amount.

For example, if you land a full house when playing Jacks or Better, not only will you win the standard 9-coin win, but any wins on the next hand will be multiplied by 12. This is a high volatility version of the game, which can add some extra excitement into the mix.

## 5 Hand Poker Pairs

## Final thoughts

If one hand simply isn’t enough for you, Five Play Draw Poker from IGT is the perfect video poker game to play – whether at the casino or online. With five hands in play each time you deal, the action is fast, and if you’re lucky you could win big on each of the hands. If you’re feeling like fortune is on your side, play the even higher volatility Ultimate X version of the game – where you could be in multiplier heaven.

## 5 Hand Poker Games

Five Play Draw Poker is now available online in a number of states (NJ, PA, MI and WV are all regulating real-money casinos). As long as you are within the state lines, you’ll have the opportunity to choose from all the most popular video poker variations.