Free Video Poker / Royal flush odds
Royal flush odds
The odds of being dealt a royal flush in five cards are 1 in 649,740. In Texas Hold'em, using seven cards, they are 1 in 30,940. In video poker, where you draw once and play for it, a royal comes about once in 40,000 hands.
Royal flush odds by game
| Where | Chance | One in |
|---|---|---|
| Dealt in five cards | 0.00015% | 649,740 |
| Texas Hold'em, best five of seven cards | 0.0032% | 30,940 |
| Jacks or Better video poker, good play | 0.0025% | about 40,000 |
A royal flush is ace, king, queen, jack and ten of one suit, so there are only four of them in the deck's 2,598,960 five-card hands. That is where 1 in 649,740 comes from. Hold'em lets you use the best five of seven cards, which makes it about 21 times more likely.
Why video poker royals come more often
In video poker you see five cards, hold the ones you want and draw once. Every time you hold three or four cards to a royal you get a real shot at it, and the strategy tells you to chase it, because the royal pays 4,000 credits at a five-credit bet. That is why a good player hits one about every 40,000 hands instead of every 649,740.
Odds of drawing a royal
After you hold, the draw comes from the 47 cards you have not seen.
| You hold | Cards needed | Chance | One in |
|---|---|---|---|
| Four to a royal | 1 | 2.1% | 47 |
| Three to a royal | 2 | 0.093% | 1,081 |
| Two to a royal | 3 | 0.0062% | 16,215 |
| One to a royal | 4 | 0.00056% | 178,365 |
That is why four to a royal is held over almost anything, even a dealt flush or straight: 1 in 47 at the top prize is worth more than a small sure win. Video poker strategy.
How long until you hit one
At a steady 600 hands an hour, about one royal every 67 hours of video poker. That is an average, not a schedule: some players hit two in a week and some go years. Each hand is dealt from a fresh shuffle, so a royal is never due.
Royal flush vs straight flush
A straight flush is five cards in a row of one suit. A royal flush is the highest one, ten to ace. In five cards a straight flush other than a royal is dealt 1 in 72,193, nine times as often as a royal. All the poker hand rankings.
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Questions
What are the odds of getting a royal flush?
1 in 649,740 when dealt five cards. 1 in 30,940 in Texas Hold'em with seven cards. About 1 in 40,000 hands in Jacks or Better video poker with good play.
What are the odds of a royal flush in video poker?
About 1 in 40,000 hands in Jacks or Better when you play for it correctly. Holding four to a royal, the draw makes it 1 in 47.
Is a royal flush the rarest hand in poker?
Yes. Only four exist. Without wild cards it is the best and rarest hand in every standard poker game.
Is a royal flush ever due?
No. Every hand is dealt from a fresh shuffle, so the hands before it never change the odds of the next one. Going a long time without one does not make it closer.
What does a royal flush pay in video poker?
On most machines 250 for 1, rising to 800 for 1 when you bet five credits. That is 4,000 credits on a five-credit bet, which is why max bet matters.
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