Video poker is an electronic form of the traditional five-card draw poker that dates back to the 70 years of the 20th century. It is played in the standard way – the player is dealt five cards and is then given the chance to replace any number of the cards in the hand by an equal number of cards the dealer is to draw from the deck.
The outcome and the amount that is to be paid out to the player is determined by the rank of the resulting hand and the bet size. Of course, mathematics is different to the various type of video poker games, but there are some major principles that are applied to both Jacks or Better, Deuces Wild, etc.
Video Poker Mathematics
As a matter of fact, improving your video poker game is not only done by learning a helpful basic strategy. In fact, players should bear in mind the fact that they should also learn how to make their own analysis of the variety of draws they may be face over the gameplay.
Mathematics is a crucial part of both the traditional game of poker and its video variation. Even for more inexperienced players, mathematics should be a key factor, especially when it comes to probability and how it actually is associated with poker. When it comes to probability, dealing certain hands is always involved in making strategy and relates to mathematics in order for a player to understand what the likelihood of them winning is. In addition, understanding the video poker mathematics can really help players remain emotionally stable and focus on their decisions.
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Probability
Likelihood, most commonly known as probability, is one of the major terms when it comes to video poker. It is exactly what has a lot in common with the possibility for a certain outcome to occur.
The theory of probability is easy to understand when a coin is flipped, but things get a lot harder when card games are concerned, as a large number of eventual outcomes occur. Each card deck in the game of poker consists of 52 cards divided in four suits and thirteen ranks.
In a standard 52-card deck, the probability that the first card is an ace is 4/52 = 1/13, about 7.69%; the odds against are 12 to 1. The probability of a spade is 13/52 = 1/4, or 25%, with odds against of 3 to 1. These are different ways of expressing odds and probabilities.
Poker mathematics is also considered as not so easy as expected because every card alters the outlook of the remaining part of the deck after being dealt. For instance, when a player receives an Ace as their first card, there will only three more Aces left in the remaining deck of 51 cards. This basically means that the odds of getting another Ace card are 3 in 51, or 5.9%, which makes them much smaller than the chances at the beginning, before the first Ace to be dealt.
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Counting Five-Card Hands
Standard single-deck video poker deals five cards, not two private cards followed by a flop. There are C(52,5) = 2,598,960 unordered five-card starting hands. Wild-card and joker variants need their own rules and calculations.
After the deal, the player chooses which cards to hold. In a conventional draw from the remaining deck, the five original cards are excluded from the replacement pool, leaving 47 cards. Drawing one card therefore has 47 possibilities; drawing two has C(47,2) = 1,081 unordered possibilities.
A One-Card Draw Example
Suppose the initial hand contains four hearts and one club in a game without wild cards. Holding the four hearts and discarding the club leaves nine hearts among the 47 available replacement cards. The probability of completing a flush is 9/47, about 19.15%. Some completing cards could form a straight flush, which may pay more.
That probability alone does not prove the hold is best. A different hold may offer a higher expected payout once all possible final hands and their awards are considered.
Expected Return and the Pay Table
For each possible hold, multiply the probability of each final paying hand by its award, then add the results. Compare those expected returns using the actual pay table and stake. If payouts include the returned stake, subtract the stake to express the result as expected net profit or loss.
The same dealt hand can require different holds in Jacks or Better and Deuces Wild, or even in two versions of the same game with different pay tables. The Jacks or Better mathematics guide provides a game-specific continuation.
What the Percentages Mean
Video poker pays against its pay table rather than against another player’s hand. Flop probabilities, all-in matchups and an opponent’s hole cards belong to other forms of poker.
A theoretical return is a long-run average under the stated strategy and rules. It does not promise that a session will return that percentage of the amount wagered. Rare, high-paying hands can contribute substantially to the average while appearing very infrequently.
