The odds of hitting a royal flush in video poker depend entirely on how many royal cards you hold after the deal.
Hold four and your chance of completing it on the draw is 1 in 47. Hold three and it stretches to 1 in 1,081. Being dealt all five outright is a 1 in 649,740 shot.
Every video poker player waits for the hand that pays 4,000 coins, and most of us have wondered what the real chance of getting there is.
The numbers below apply to Jacks or Better and assume a leisurely pace of 600 hands per hour. Keep in mind that a high card in video poker means a Jack, Queen, King or Ace, since a ten counts as a low card. The odds themselves come from Dan Paymar's Video Poker – Optimum Play (second edition).
Royal Flush Odds in Video Poker at a Glance
Here's what each starting hand is worth.
- Dealt a royal outright: 1 hand in 649,740, or once per 1,083 hours. Nothing left to draw.
- Four cards to a royal: 1 hand in 2,777, or once per 4.6 hours. Completes 1 in 47.
- Three cards to a royal: 1 hand in 92, or 13 times every two hours. Completes 1 in 1,081.
- Two cards to a royal: 1 hand in 13, or 46 times an hour. Completes 1 in 16,215.
- One card to a royal: 1 hand in 6, or 100 times an hour. Completes 1 in 178,365.
Discarding all five cards and drawing fresh sits outside this list, at 1 in 383,484.
How the Deal and Draw Work in Video Poker
There's no dealer standing at a video poker machine, so a computer chip inside it does the job a live dealer would do. It runs on a random number generator, the same principle behind how a slot machine works, which means no hand carries any influence over the next one.
A standard 52-card deck is shuffled. When you hit the deal button, the shuffling stops and five random cards appear on screen. While you decide which cards to hold and which to discard, the remaining 47 unplayed cards are shuffled again.
Say you keep the first four cards and throw away the fifth. You press hold beneath each card you want, then press draw. The fifth card is removed, and a single replacement is dealt from those 47 unplayed cards, completing your hand.
Three points matter:
- Video poker plays like five-card draw. You get one opportunity to improve your hand.
- Cards you discard on the deal can't come back on the draw.
- Once the hand is complete, all the cards are reshuffled for the next one.
That 47-card pool is the reason every number in this article looks the way it does.
What Are the Odds of Being Dealt a Royal Flush?
Your chance of being dealt a five-card royal flush on the initial deal is 0.00015%, or 1 chance in 649,740. At 600 hands an hour, that works out to once in roughly 1,083 hours of play. Long odds, but never say never.
It's happened to me twice. The first time came so fast, with the card speed set high, that I only realized what I had when the machine locked up and the music started.
The second was more memorable: I was showing my father-in-law how to play a Triple Play game, and the royal landed on the bottom hand, which meant it repeated on the second and third hands too.
What Happens If You Discard All Five Cards?
If you're holding five garbage cards and throw all of them away for five new ones, the chance the draw hands you a royal flush is 1 in 383,484. It has never happened to me, though my father-in-law once tossed his entire hand and drew one.
Holding Four Cards to a Royal Flush
Four cards to a royal is the strongest position you can be dealt short of the hand itself, and it doesn't turn up often: once every 2,777 hands on average, or roughly once every 4.6 hours at 600 hands an hour. When it does, you need one specific card out of the 47 left in the deck, so your chance of completing the royal is 1 in 47.
That's the shortest price in the game, and it's still a measly one. During a recent five-hour session, I was dealt four cards to the royal five times, about six times more often than the math says I should have been. I converted none of them.
Holding Three Cards to a Royal Flush
You'll be dealt three cards to a royal once in every 92 hands on average, or about 13 times every two hours. From there, you need two specific cards out of 47, which puts your chance of completing the hand at 1 in 1,081.
The rest of that session tells the story. After five four-card royals came to nothing, I was dealt three cards to the royal for the first time, held them, hit draw, and up came both cards I needed. That hand ended a drought that had run 22 months and roughly 310,000 hands.
Holding Two Cards to a Royal Flush
Two cards to a royal show up once every 13 hands, about 46 times an hour. The frequency is generous, but the conversion isn’t: drawing the three cards you need out of 47 is a 1 in 16,215 proposition. It does land. I've converted a two-card royal twice in my playing career.
Holding One Card to a Royal Flush
A single high card and nothing else is the most common starting point of all, arriving in one hand out of every six, or roughly 100 times an hour. Drawing the other four royal cards from the remaining 47 is a 1 in 178,365 shot, so it isn't something to build a session around. I can recall it happening to me once.
Why the Royal Flush Matters to Your Payback
The royal flush isn't only the hand that pays 4,000 coins. In a full-pay Jacks or Better game played at max coins, it accounts for roughly 2% of the game's total expected return, which means the house edge you're playing against already assumes you'll eventually hit one.
Play the same machine at less than max coins and the royal pays at a reduced rate, so that slice of the return shrinks and the edge against you grows.
That's also why droughts feel so long. The return is built on an event you'll see once every few hundred hours at best, and the math doesn't smooth it out for you along the way.
Key Takeaways
- Video poker plays like five-card draw: one deal, one draw, and the cards you discard can't return.
- After the deal, 47 unplayed cards remain, and every royal flush chance in the game is calculated from that pool.
- Four cards to a royal is the best position at 1 in 47, and it arrives roughly once every 4.6 hours at 600 hands per hour.
- Frequency and conversion pull in opposite directions: the starting hands you see most often are the ones least likely to become a royal.
- Being dealt a royal outright is a 1 in 649,740 event, and drawing five fresh cards into one is 1 in 383,484.
- All figures apply to Jacks or Better and assume 600 hands per hour.
