What Are The Odds Of a Royal Flush?

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Poker is a game about hands and odds of getting them if you play with the right strategies. If you ask the expert poker players about the secret of winning repeatedly in a game of poker, you will be astonished to hear that it has more to do with what you do with your hand of cards than just waiting for the luck to play its part. In fact, you can negate the factor of luck in a huge way if you have the right strategy and the ability to count the odds of things happening in a certain way. In this post, we will be particularly talking about the odds of a royal flush being dealt to you.

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What is a Royal flush in poker?

The royal Flush hand combination is the best hand combination that a player can get or score in a game of poker. In this hand combination, all of the 5 cards are supposed to be in one specific sequence- Rank 10 (10), Jack (J), Queen (Q), King (K) and Ace (A) (10 J Q K A). This suit does matter in this hand combination and all the 5 cards in this hand combination should be of the same suit. One of the most famous variants of the royal flush of the diamond flush poker hand combination. The diamond flush poker hand combination consists of the royal flush but with all diamonds. The diamond flush poker hand combination is one of the best hand combinations for a player to have. An example of the diamond flush poker hand combination is Rank 10 (10), Jack (J), Queen (Q), King (K) and Ace (A) (10 J Q K A), all in the suit of diamonds.

When we decide to compare the royal flush hand combination to all the other hand combinations in the game of poker, we see that the royal flush hand combination is the best hand combination to have in a game of poker. There is no better hand combination a player can score. The diamond flush poker hand combination comes under the royal flush. The hand combination that comes directly under the royal flush hand combination is the straight flush hand combination which ranks second in poker. In this hand combination, all 5 cards are supposed to be in a sequence and of the same suit. For example, a hand combination consisting of cards of rank 10, rank 9, rank 8, rank 6 and rank 7, all of spades, is considered to be a straight flush. The hand combination that comes under that is the Four of a Kind hand combination which ranks third in poker. In this hand combination, 4 out of 5 cards are supposed to have the same rank. The suit does not matter in this hand combination. For example, a hand combination consisting of cards of rank 2, rank 2, rank 2, rank 2 and rank 8 is considered to be a Four of a Kind.

The probability of a royal flush hand combination being dealt

The odds of flapping a royal flush in Texas Hold’em Poker are very low. To understand the rarity of being dealt a royal flush, refer to the tables below explaining the odds of the royal flush hand combination in Texas Hold’em Poker and Omaha Poker.

Texas Hold’em Poker Probabilities

Pre Flop

0.000154%

This is based on drawing 5 random cards from a standard deck of 52 playing cards.

Flop

0.005%

This is based on wielding two suited cards in the range of tens and aces.

Turn

4.256%

This is based on wielding a royal flush, open ended, on the flop.

River

4.348%

This is based on wielding a royal flush, open ended, on the turn.

Omaha Poker Probabilities

Pre Flop

0.000154%

This is based on drawing 5 random cards from a standard deck of 52 playing cards.

Flop

0.0058%

This is based on wielding a double suited TJxx.

Turn

4.444%

This is based on wielding a royal flush, open ended, on the flop.

River

4.545%

This is based on wielding a royal flush, open ended, on the turn.

From the numbers above, we can already say that the odds of a royal flush being dealt to players very frequently i.e., the probability of a royal flush being dealt is very low. If we try and figure out the probability of a royal flush being dealt or the odds of a royal flush hand combination coming out, we see that out of the approximately 2.6 million poker hands, royal flushes are just four of them which means that the probability of a royal flush being dealt or the odds of a royal flush hand combination coming out is very small. Almost all 2.6 million of these hands are equally distributed which again add to the fact that the probability of a royal flush being dealt or the odds of a royal flush hand combination coming out is very low.

Every one of these hands is equally likely to be dealt to a player thanks to the shuffling of the cards. To calculate the probability of a royal flush being dealt or the odds of a royal flush hand combination coming out, the number of royal flushes needs to be divided by the total number of poker hands. When we carry out the division, we see that the probability of a royal flush being dealt or the odds of a royal flush hand combination coming out is very low and that a royal flush is a very uncommon hand combination to be dealt. There is just a 0.00015% probability of a royal flush being dealt or the odds of a royal flush hand combination coming out. This is calculated by

Similar to very large numbers, it is difficult to wrap your mind around a likelihood that is this small. One way to put this number in context is to ask how long 649,740 poker hands would take to go through it. When trying to calculate the probability of a royal flush being dealt or the odds of a royal flush hand combination coming out, it is very easy to just think of it like this. If every night of the year you were dealt 20 hands of poker, then this would only equate to 7300 hands a year. You can only hope to see one royal flush in 89 years by this calculation. Being dealt a royal flush and winning is probably one of the best and the most exciting things to happen to a poker player in their career but with these numbers, it is very hard for that to happen. This just proves that the probability of a royal flush being dealt or the odds of a royal flush hand combination coming out is very low.

With this, you have all the information you need about the royal flush hand combination and the odds of a royal flush hand combination being dealt in a game of poker. Download the GetMega app now and play poker with your friends!

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