Video Poker is played on a machine that looks pretty much like a regular slot machine in which from 1 to 5 coins are inserted in order to the player to be given access to their favourite poker game. Currency and tickets are also accepted to place a wager.
Then, the player is dealt a total of five cards that are given to them with their faces up on the screen. The order of the five cards is unknown, as they are dealt by a Random Number Generator (RNG). Then, the player needs to make a decision of each of the cards whether to keep them or discard them.
Five cards produce 32 possible hold-or-discard choices. In a conventional single-deck draw, discarding n cards leaves C(47,n) equally likely unordered replacement combinations—not 47 divided by n. The video poker mathematics guide explains how these combinations are used to compare expected payouts.
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Payout Schedule of Jacks and Better
Players should always remember that pay schedules are important. It is not always easy to get oriented in a certain pay-off table, but players are recommended to always make clear what the pay-off would be for every hand in the game of Jacks or Better in a certain casino, regardless if it comes to a land-based or an online one.
When it comes to payout for Jacks and Better, there is a difference between the Royal Flush hand and the Straight Flush hand. In addition, the term “full-pay” machine is used to highlight the fact there are some video poker machines that feature payout schedules that are less favourable.
Players should also be aware of the fact that they need to bet the maximum amount of five coins in order to qualify for the maximum pay-off granted by the Royal Flush hand.
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Video Poker MathA common 9/6 Jacks or Better pay table returns 800 for 1 for a royal flush at the qualifying maximum-coin wager, 50 for 1 for another straight flush, and 25 for 1 for four of a kind. These are pay-table awards, not probabilities. In an unordered five-card deal, there are four royal flushes, 36 other straight flushes and 624 four-of-a-kind hands.
The same example pay table returns 9 for 1 for a full house, 6 for 1 for a flush, 4 for 1 for a straight and 3 for 1 for three of a kind. Their five-card deal counts are 3,744, 5,108, 10,200 and 54,912 respectively, excluding higher-ranked categories where appropriate. The payout schedule is chosen by the game; it is not derived directly from these counts.
There are 123,552 two-pair hands and 337,920 hands with exactly one pair of jacks, queens, kings or aces in an unordered five-card deal. The example pay table returns 2 for 1 and 1 for 1 respectively. “For 1” includes the stake: a 1-for-1 award returns the wager without a net profit. Final-hand probabilities after optimal draws differ from these initial-deal counts.
Major Math Issues
The paramount math issue when it comes to the game of Jacks or Better is for the player to determine which cards to hold and which to discard considering their initial five-card hand. Basically, this decision would be based on the cards of which the player’s hand consists of.
No matter if it comes to a player who does not have enough experience or not, they have to make the decisions for themselves, by evaluating the cards they have as well as the chances to complete their hand in a way that boosts its rank. They should also remember not to rely too much on their intuition in such situations but to stay with cool mind and carefully consider what to do.
For each dealt hand, the optimal hold maximizes the expected payout under the actual pay table. A general rule such as “always keep a four-card flush over three cards to a royal” is not reliable without checking the exact cards and awards.
