Video poker collects folklore for the same reasons it rewards study. The game is slow enough to watch, the deck is small enough to reason about, and the paytable is printed on the glass, so beliefs about how a machine behaves accumulate — and nearly all of them are testable. Six of them are below, with the arithmetic that replaces each. All of it describes machines regulated as gambling devices: a 52-card deck, a published paytable, and no memory of you.
A machine that has not paid is due
Every hand starts from a full deck, freshly shuffled. The machine does not know how long it has been since the last royal flush, and the deck has no mechanism for acting on it if it did. Played correctly, 9/6 Jacks or Better produces a royal about once in 40,000 hands, and that figure is a rate rather than a schedule.
The chance of going a full 40,000 hands with no royal is 0.999975 raised to the 40,000th power, which is roughly 37%. More than one run in three goes that far empty. A machine on such a run is not closer to paying; it has had an ordinary stretch of bad luck and is still offering one in 40,000. The mirror image is equally true: a machine that paid a royal on the last hand offers exactly the same chance on the next.
The draw was decided before you touched the hold buttons
Partly true, and the true part does not matter. Some machines select the five replacement cards at the moment of the deal and keep them in reserve; others take them when you press draw. Either way they come off the same shuffled deck, in the same order, from the same 47 cards you have not seen, so the distribution of outcomes is identical. Reserving the cards early changes the implementation and not a single probability.
What a machine of this kind cannot do is wait for your holds and then pick cards to beat them. The order of the deck was fixed before the first card appeared. Your holds are the only part of the hand that is not already settled, which is precisely why which cards you keep is worth points and nothing else about your behaviour is.
Betting fewer coins stretches the stack
It stretches the stack and shrinks the machine. A royal flush pays 250 per coin on one to four coins and 800 per coin on five, and that step is the whole reason maximum coins is not optional.
The royal row carries 1.98 points of the 99.54% return when it pays 800 per coin. At 250 per coin it carries 250/800 of that, which is 0.62. Playing below five coins therefore takes about 1.36 points off the return — more than the entire step down from 9/6 to 9/5, which costs 1.09. Anyone wanting smaller exposure should take five coins at a lower denomination, never fewer coins at a higher one.
A 99.54% machine gives back 99.54% of what you put in
Return is an average over the whole tree of 2,598,960 deals and every draw from each of them, and it arrives over hundreds of thousands of hands rather than over an evening. The hand-by-hand experience looks nothing like a 0.46% trim.
Played correctly, 9/6 Jacks or Better pays nothing at all on about 54.5% of hands, and pays the stake back and no more — a high pair — on a further 21.5%. Three hands in four leave you no better off than you were before you pressed deal. The money that makes up the difference is concentrated in rows you will rarely see: take the royal out and the machine returns 97.6%, which is closer to the number most players actually live through.
It is luck, the same as a slot machine
Both are random. The difference is that in video poker everything needed to compute the return is visible: 52 known cards, a published paytable, and a draw you control. Nobody can compute a slot machine's return from the glass, because the reel weightings are not printed on it.
The consequence is that decisions carry real points here. Keeping a kicker alongside trips or a pair never gains anything, and doing it at every opportunity gives up 5.59 points of return. Taking a gutshot in place of an open-ended straight draw halves the value of the draw, 0.34 coins against 0.68. Those are errors the maths prices to two decimal places, which is not something anyone can do for a slot machine.
Three shorter ones
- Playing slowly is safer. Per hand, speed changes nothing. Per hour it is linear: 0.46% of a five-coin bet over 600 hands is 13.8 coins an hour, and over 900 hands it is 20.7. Speed does not change the edge, only how much of it you buy. At 600 hands an hour, an average royal is about 67 hours away.
- Counting cards helps. The deck is reshuffled before every hand, so nothing carries over from the last one. Card counting needs a deck that remembers, and this one does not.
- Some machines are warmer than others. Two machines with the same paytable have the same return, and the paytable is the only thing that distinguishes them. A machine with a good run behind it is a machine with a good run behind it.
One belief deserves more sympathy than the rest: that near misses feel engineered. Four to a royal that comes up short is memorable in a way that a dead hand is not, and the feeling is real even though the mechanism is not — the deck was shuffled, and 46 of the 47 unseen cards were always going to miss. Worth noting, though, that this constraint only binds machines regulated as gambling devices. A free-chip phone game is not one, and is under no obligation to deal anybody an untouched deck, including the one below.
The thread running through all six is that the machine has no memory and no interest in you. It cannot be warmed up, run down, outwaited or read. What it does have is a paytable, which decides the return, and a draw, which is the only part of the hand you control. Both of those are visible before you sit down, and everything else in the folklore is about a machine that does not exist.
Video Poker: Jacks or Better is a free-chip practice game rather than a model of a regulated machine, and the difference is worth stating plainly on a post like this one. Its deal is not an untouched shuffle: the first five cards are sometimes nudged towards a pair or a four-card flush, and more often when your balance is nearly gone, so hand frequencies there are not the ones above. The draw itself comes off the remaining deck untouched, which means the holds you practise are the real ones even though the deals are kinder. Use it to drill hold priorities, not to judge how often hands arrive. Each of its four machines shows its own chart on screen and the chart never changes: Jacks or Better from the start on a 7/5 shape with the royal at a flat 250× the bet, Deuces Wild at level 3 on the full-pay 25-15-9-5-3-2-2-1, Bonus Poker at level 8 and Double Bonus at level 15, with Triple and Five Play at level 10. You start with 1,000 chips, bet 5, 10, 20 or 50 a hand, and collect 200 more once a day; strategy hints will glow the suggested hold. It plays offline, and the chips have no cash value.