Probability Of Getting A Royal Flush In Texas Holdem

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  1. Chances Of Getting A Straight Flush In Texas Holdem
  2. Probability Of Getting A Royal Flush In Texas Holdem In Texas Hold Em

Your chances of getting a royal flush are: (1/52). (1/51). (1/50). (1/49). (1/48) You thus have a 0.0032% chance per hand of hitting a royal flush. To obtain a 6 card royal flush, you would need a single specific card added to the straight, which has a 1/47 (47 being the number of cards remaining) chance of appearing. In brackets below next to the ranking of hands, are 1st the number of possible hands of that rank in 2,598,960 possible combinations, and 2nd your chances of getting one in percentage probability: Royal Flush (4 possible hands in 2,598,960. Chance to get one: 0.000154%) Straight Flush (36 possible hands in 2,598,960. Chance to get one: 0.00139%).

Poker can be a fun card game for the family, or a serious competitive game in which the steaks can be so enormous, even selling your house wouldn’t cover the costs.

There are many variations of poker, with Texas Hold ‘Em being the most popular worldwide.

Below are a whole bunch of poker facts and statistics which help you understand the chances of wining and the odds of getting the cards you want.

Did You Know?

  • The royal flush is a case of the straight flush. It can be formed 4 ways (one for each suit), giving it a probability of 0.000154% and odds of 649,739: 1. When ace-low straights and ace-low straight flushes are not counted, the probabilities of each are reduced: straights and straight flushes each become 9/10 as common as they otherwise would be.
  • And the odds of making a royal flush is 649,739 to 1. This is correct assuming that every game plays to the river. In poker terms, the river is the name for the fifth card dealt, face-up on the board. In total, there are 2,598,960 possible poker hands with 52 cards. The odds of getting four of a kind in Texas Hold ‘Em is 4164 to 1.
  • 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. 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%.

A pocket pair is cards of the same rank, which means if your two cards have the same number, from 2-2 all the way up to A-A, this is called a pocket pair.

  • The odds of receiving any pocket pair is 5.9% which is 16 to 1. These are also the same odds of receiving a pocket pair of 2’s.
  • The odds of receiving a specific pocket pair: 0.45% or 220 to 1 These are the same odds for receiving a pocket pair of A’s.
  • The odds of receiving a pocket pair of A’s twice in a row is 0.002047% or 48,840 to 1.
  • The odds of receiving a pocket pair of K’s is 0.9% which is 220 to 1.
  • The odds of receiving a pocket pair of Q’s is 1.4% which is 73 to 1.
  • The odds of receiving a pocket pair of J’s is 1.8% which is 54 to 1.
  • The odds of receiving a pocket pair of 10’s is 2.3% which is 43 to 1.
  • The odds of receiving a pocket pair of 9’s is 2.7% which is 36 to 1.
  • The odds of receiving a pocket pair of 8’s is 3.2 which is 31 to 1.
  • The odds of receiving a pocket pair of 7’s is 3.6% which is 27 to 1.
  • The odds of receiving a pocket pair of 6’s is 4.1% which is 24 to 1.
  • The odds of receiving a pocket pair of 5’s is 4.5% which is 21 to 1.
  • The odds of receiving a pocket pair of 4’s is 5.0% which is 19 to 1.
  • The odds of receiving a pocket pair of 3’s is 5.4% which is 17 to 1.
Probability

Poker Fast Facts

The total number of possible royal flush hands in a standard 52 card deck is 4.

And the odds of making a royal flush is 649,739 to 1.

This is correct assuming that every game plays to the river.

In poker terms, the river is the name for the fifth card dealt, face-up on the board.

In total, there are 2,598,960 possible poker hands with 52 cards.

The odds of getting four of a kind in Texas Hold ‘Em is 4164 to 1.

Casinos normally change decks after 15 minutes of steady play, so that the cards can always be fresh and unmarked, as many professional players would be able to remember the certain markings on cards and use that to their advantage.

This is only a basic overview of poker odds, there are many calculators online that can help solve the odds of getting certain hands, depending on what stage of the game you’re at, what cards you currently hold and how many people are playing.

Now you are familiar with these odds, you can use them to your advantage for a better poker strategy when you finally decided to play a tournament.

In Texas Hold-Em Poker the odds of making a royal flush hand is only 649,739 to 1.

The following Texas Holdem odds table highlights some common probabilities that you may encounter in Hold'em. It is not vital that you learn these probabilities, but it is useful to be aware of the chances of certain situations arising.

Texas Hold'em odds chart.

SituationPercentage OddsRatio Odds
Preflop Probabilities:
Dealt AA.0.45%220 to 1
Dealt AK.1.2%82 to 1
Dealt AKs.0.3%331 to 1
Dealt 72o.0.9%109 to 1
Being dealt AA vs. KK (heads up).0.004%22,559 to 1
Dealt a pocket pair.6%16 to 1
Dealt suited connectors.4%24 to 1
Flop Probabilities:
Flopping a pair.32.4%2.2 to 1
Flopping a set (with pockets).11.8%7.5 to 1
Paired Board:
2 players, probability of trips.17%4.8 to 1
3 players, probability of trips.26%3 to 1
4 players, probability of trips.34%2 to 1
5 players, probability of trips.43%1.4 to 1

How to use Texas Hold'em odds.

The odds in this Texas Hold'em odds table are unlikely to directly help your overall strategy, but they are pretty interesting nonetheless. The Texas Hold'em odds for each of the different situations have been given in both percentage and ratio odds, so use whichever format you feel comfortable with.

Probability of getting a royal flush in texas holdemlush in texas hold em

Other poker odds charts.

Chances Of Getting A Straight Flush In Texas Holdem

For more useful odds charts that you can use for when you are working out whether or not to call when on a drawing hand, use the following tables:

Both of these tables give the odds for completing your draw depending on how many outs you have. You can find out more on how to work out odds and all that mathematical stuff in the article on pot odds.

Go back to the poker odds charts.

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Probability Of Getting A Royal Flush In Texas Holdem In Texas Hold Em

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