Odds Of Flopping A Royal Flush In Texas Holdem
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.
The Odds of Making a Flush Hand in Poker The odds of flopping a Flush with a suited starting hand is 0.82% or 1 in 122 Definition of Flush – We make a Flush by having five cards of the same suit. If you don't, the odds of flopping a royal flush are 0% because it just isn't possible. If you do have 2/5 of the royal in your hand, the odds of the other 3 cards coming out on the flop is: (3/50).(2/49).(1/48) = 6/117600 = 1/19600 So your odds of flopping the royal are 1 in every 19600 times you're dealt two suited cards ten or higher.
Situation | Percentage Odds | Ratio 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 |
Four of them are royal flushes, so the chance of a poker hand to be a royal flush is 649740. Because you have four holes, you can make six different hands, so the odds of this happening are about equal to 6 in 649740, so 1 in 108290. A royal flush is essentially the best possible hand that you can get in poker, but it’s still just a straight flush. So the odds of being dealt a royal are exactly the same as being dealt any other straight flush. You just need to have two hole cards that can make a royal, i.e., anything between a 10 and an Ace.
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.
Other poker odds charts.
Odds Of Getting A Royal Flush In Texas Hold Em On The Flop
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.
Chance Of Flopping A Royal Flush In Texas Holdem
Go back to the poker odds charts.
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