Poker Hand Probabilities Mark Brader has provided the following tables of probabilities of the various five-card poker hands when five cards are dealt from a single 52-card deck, and also when using multiple decks. The traditional hand types are described on the poker hand ranking page. In this case, the probability is the frequency of a hand divided by the total number of five card hands, and the odds are defined by the formula ((1 / p) – 1: 1), where p corresponds to the probability. Frequency of Five Card Poker hands. In the following table, the frequencies are precise, while the probabilities and the odds given are.

The poker hand probability chart shows the odds of making a specific hand type by the showdown. It is valid for any 7-card poker variant, including Texas Holdem and 7 Card Stud.

The chart assumes that you have a random hole cards. Some hole cards (for example pocket pairs), are more likely to make a good hand by the river. This is why playing tight is such important in poker.

The cumulative odds column displays odds to make a particular hand or better. For example, the probability for making four of a kind or straight flush or royal flush is 0.0311%.

The total number of unique 7-card hands is 133,784,560. Suits have no relative value in poker, so by ignoring them the total number ot unique 7-card hands drops to 6,009,159.

Since in poker you can use only 5 cards out of 7 to make the best hand, there is a further reduction in possible combinations, making the total of 4,824 unique poker hands.

An interesting fact is that you are more likely to make a pair than a high card by the showdown in 7-card variants. This is a bit against the poker hand ranking, which was originally built with the assumption that the less frequent hand beats the more frequent one.

The ranking was correct for 5-card poker variants, which were dominant at the times the ranking was created. Maybe people that invented 7-card variants forgot to update the ranking, who knows?

Poker hand probability chart

Hand	Odds	Cumulative
Royal flush	0.0032%	0.0032%
Straight flush	0.0279%	0.0311%
Four of a kind	0.168%	0.199%
Full house	2.60%	2.80%
Flush	3.03%	5.82%
Straight	4.62%	10.4%
Three of a kind	4.83%	15.3%
Two pair	23.5%	38.8%
One pair	43.8%	82.6%
High card	17.4%	100%

Know the probability of the best poker hands

PROBABILITY: 5-CARD POKER HANDS

Poker may take some number crunching, nerves of steel and a blank face but when it all comes down to it, poker is still a game of chance. M casino employment. That means that savvy players can figure out the probability of losing a hand, depending on what they’re holding. In a game like 5-card poker, in addition to poker tools these are the probabilities of you landing a winning hand:

Poker Hand Probability Texas Holdem

Pair
You aren’t storming the gates with two of a kind, but it’s better than nothing. And having two Jacks, Queens, Kings or Aces will pack more than a little punch even though the probability of pulling a pair is 0.422569 – regardless of card value.

Two Pair
Everybody loves twins. Well maybe not poker players. Two pairs are pretty good, but not great and can sometimes lure you into a big pot, only to have the rug pulled out from underneath you. Probability of two pair, a sharp drop from a single pair to 0.047539.

Casino royale casting. Triple
Also known as “Three of a Kind”, this hand can get the job done if you’re playing at a smaller table. There are six hands that are going to beat the triple, so do a head check and bet accordingly. The probability of pulling out three of a kind drops significantly from two pair, to 0.021128.

Rules Of Card Games: Poker Hand Probabilities

Straight
High or low, the straight is a solid poker hand. But, much like the triple, you’ve got to size up your field and know the chances of an opponent pulling a better hand. The consecutive five-card sequence holds a probability of 0.00392465.

Flush
Getting five cards suited – but not in sequential order – holds a probability of 0.0019654, since there are just 13 cards of the same suit in a single 52-card deck. It’s a slightly behind the full house in terms of probability and rank, but stands well ahead of its cousin the straight.

Full House
Not just a great 80’s TV sitcom but also a tremendous poker hand. You’ve got three of a kind and managed to pull two pair along with it. Holding a probability of 0.001441, your opponents will need to pull out a miracle to beat the full house most hands.

Four of a kind
The mighty quintuplets are a Top-5 poker hand and if a miracle is needed to beat a full house, than you might need the Pope in your corner to top four of a kind, which holds a slim probability of 0.000240. If you’re not going all in with four on the floor, you’ve wasted a gift from the poker gods.

Straight Flush
You could play poker for years and years and never see this hand come up. It’s the unicorn of 5-card poker, with not only five cards suited but also those cards run in sequential order. The probability of a straight flush – excluding the Royal Flush – is 0.0000138517.

Full House

Royal Flush
This is the great white whale of poker hands. The odds of a common golfer scoring a hole-in-one are 12,500 to 1. The odds of pulling a Royal Flush are 649,739 to 1 or a probability of 0.00000153908. Luckily, for you the odds of getting hitting by lightning are only slightly longer at 960,000 to 1.

Poker Hand Probability Table