The Royal Flush is top on the list of poker hand rankings. This is the strongest possible hand in poker and can never be beaten. It is made when we have the Ace-high straight while holding cards all of the same suit.

Each Poker hand consists of selecting the 5 best cards from a random 6 card deal. While the results on the main Poker Probabilities page can be calculated via direct combinatorics, the introduction of wild cards greatly complicates the combinatoric calculations. Apr 18, 2017 If you stood besides this table for 100 hands, the probability of witnessing at least one royal flush is already 2.7% – still unlikely, but not unheard of. If you stood there for 2,500 hands (or roughly 100 hours of live poker) this probability increased to almost 50%.

How Does a Royal Flush Hand Rank?

In a 52-card deck there are only 4 possible royal flush combinations and they are all ranked equally. The four flush combinations are as follows :

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A♠K♠Q♠J♠10♠

A♥K♥Q♥J♥10♥

A♣K♣Q♣J♣10♣

A♦K♦Q♦J♦10♦

Poker Odds Royal Flush

A royal flush is actually a type of straight-flush, but it beats all other straight-flushes.

How Does a Straight Hand Match Up?

The royal flush is the stone cold nuts meaning that it can never be beaten. In Hold’em and Omaha games it is impossible for two players to make a Royal flush at the same time. The hand can therefore never chop the pot.

In the article on straight flushes we mentioned that a straight flush is actually best possible hand. Why did we say that? This is because the royal flush is actually a type of straight flush. It’s possible for the royal flush to find itself facing a lower straight flush, in which case the royal flush always wins.

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Royal Flush Poker Probabilities

Now we’ll look at the preflop, flop, turn and river probabilities of making a Royal Flush in both Hold’em and Pot Limit Omaha.

Hold’em Probabilities
Preflop	0.000154%	(based on 5 cards randomly drawn from a full 52-card deck
By the Flop	0.005%	(When holding two suited cards between Ten and Ace)
By the Turn	4.256%	(When Holding an open-ended Royal Flush Draw on the Flop)
By the River	4.348%	(When Holding an open-ended Royal Flush Draw on the Turn)

Pot Limit Omaha Probabilities
Preflop	0.000154%	(based on 5 cards randomly drawn from a full 52-card deck
By the Flop	0.0058%	(When holding TJxx double-suited)
By the Turn	4.444%	(When Holding an open-ended Royal Flush Draw on the Flop)
By the River	4.545%	(When Holding an open-ended Royal Flush Draw on the Turn)

Poker Hand Royal Flush Image

Visit our Royal flush odds article for more information.

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One of the great features of video poker is the fact that the odds of each hand being dealt are the same on every machine (Games with 52 cards of course have different odds to those with 53). While the pays for the wins change the chances of getting the wins do not. Below we list the odds of many hands being dealt pat and the odds of winning on the draw for a 52 card game.

Initial Deal Odds

The table below shows the odds of getting any winning hand on the first five cards dealt on a game using 52 cards. Odds change if you are playing a game with an additional wild card such as Jokers Wild as there are 53 cards.

Hand	Odds	Hand	Odds
Royal Flush	1 in 649740	Straight :	1 in 255
Straight Flush :	1 in 72193	Three of a Kind :	1 in 47
Four of a Kind :	1 in 4165	Two Pairs :	1 in 21
Full House :	1 in 694	Pair J, Q, K or A	1 in 7.69
Flush :	1 in 509	Any Pair	1 in 2.37

Odds On The Draw

As much as we would all like to see a pat hand dealt every time we hit the max bet button this is rarely the case. In reality less than 1% of hands played will result in you holding all five where over 60% of hands you will hold just two cards going into the draw. Knowing this lets look at some examples.
The table below shows the odds of getting a particular hand when holding one, two, three or four cards. Of course you have to be holding the right cards for the odds to be correct. For example for cards to a royal is made up of four suited cards in the 10 to Ace range. Four to a flush is four suited cards etc.

Royal Flush Draw
Hold 1	Hold 2	Hold 3	Hold 4
1 in 178,365	1 in 16,215	1 in 1081	1 in 47
Straight Flush Draw *
Hold 1	Hold 2	Hold 3	Hold 4
1 in 59,455	1 in 8,107

Poker Hand Odds Royal Flush