4/9/2022
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Probability Of Getting A Royal Flush In Texas Holdem Rating: 5,1/10 1839 votes

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.

Straight flush hands that differ by suit alone, such as 7 ♦ 6 ♦ 5 ♦ 4 ♦ 3 ♦ and 7 ♠ 6 ♠ 5 ♠ 4 ♠ 3 ♠, are of equal rank. An ace-high straight flush, such as A ♦ K ♦ Q ♦ J ♦ 10 ♦, is called a royal flush and is the best possible hand in high games when not using wild cards. The number of possible poker hands is a combinations in probability problem. N = 52, r = 5: (n!) / (r!. (n − r)!) is how you calculate the number of groups of 5 cards in a 52 card deck. This turns out to be: 2,598,960. Since there are 4 ways to get a royal flush. The probability is 4/2,598,960. Or reduced: 1/649,740. The probability of being dealt a royal flush is the number of royal flushes divided by the total number of poker hands. We now carry out the division and see that a royal flush is rare indeed. There is only a probability of 4/2,598,960 = 1/649,740 = 0.00015% of being dealt this hand.

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
Holdem

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.

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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