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# Chances of getting 4 of a kind in texas holdem

The odds of getting a 4 of a kind given 7 cards (2 in your hand and 5 on the board) are (13 * (48 choose 3)) / (52 choose 7) or What are the statistical odds of getting a flush in Texas hold ’em. Is it easier to get a flush in 7-card stud or in holdem as a player. Kevin from Richmond, USA. Thank goodness I just discovered your great site. I have been trying to solve the following, and keep getting different answers. If I am dealt a pocket pair (in Hold'em) what are my chances of getting either three of a kind, or four of a kind on the flop (next three cards).

## Four of a Kind Odds

However, even though the hands are not identical from that perspective, they still form equivalent poker hands because each hand is an A-Q high card hand. Gambling led to the development of probability theory in the late s. The frequencies are calculated in a manner similar to that shown for 5-card hands, except additional complications arise due to the extra two cards in the 7-card poker hand. If only you could play the lottery as often as you play a poker hand December Learn how and when to remove this template message.

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## Poker probability

In poker , the probability of each type of 5-card hand can be computed by calculating the proportion of hands of that type among all possible hands. People thought about probability and gambling long before the invention of poker. Gambling led to the development of probability theory in the late s. When playing a game with high stakes, players wanted to know what the chance of winning would be.

In , Fra Luca Paccioli released his work Summa de arithmetica, geometria, proportioni e proportionalita which was the first written text on probability. His work from , titled Liber de Ludo Aleae , discussed the concepts of probability and how they directly related to gambling. However, his work did not receive any recognition because it was not published until after his death. Blaise Pascal also contributed to probability theory. Determined to know why his strategy was unsuccessful, he consulted with Pascal.

Communicating through letters, the two continued to exchange their ideas and thoughts. These interactions led to the conception of basic probability theory. To this day, many gamblers still rely on the basic concepts of probability theory in order to make informed decisions while gambling. The following chart enumerates the absolute frequency of each hand, given all combinations of 5 cards randomly drawn from a full deck of 52 without replacement.

Wild cards are not considered. 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. When ace-low straights and ace-low straight flushes are not counted, the probabilities of each are reduced: The 4 missed straight flushes become flushes and the 1, missed straights become no pair. Note that since suits have no relative value in poker, two hands can be considered identical if one hand can be transformed into the other by swapping suits.

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Chat or rant, adult content, spam, insulting other members, show more. Harm to minors, violence or threats, harassment or privacy invasion, impersonation or misrepresentation, fraud or phishing, show more. What are the odds of getting 4 of a kind in Texas Hold 'Em two hands in a row? Today on PokerStars, I got four of a kind Jacks , then on the next hand I would have had four of a kind, but I folded a against a big bet and the flop was Q, the turn was 7 and the river was 2.

Are you sure you want to delete this answer? As Bill F noted, the odds of getting four of a kind for any specific hand, before the deal, in holdem is approximately 0.

So, once you have gotten four of a kind on one hand, you have a 0. The odds of gettng four of a kind on the NEXT two hands is 0. The odds of getting four of a kind two hands in a row at any time in the future depends on the number of hands you play. If you play enough hands it will be almost inevitable. Addendum Since you have recevied three differeny answers, it appears a remedial math lesson is in order. The wizard of odds shows the odds as being approximately 0.

However, a percentage is a ratio of a number to , so 0. Now, to compute the odds of two specific hands getting four of a kind, you have to multiply the odds. In this case the equation is: To convert that back into a percentage you have to divide both the numerator and the denominator by , giving you 0.

The odds of getting it twice in a row is. After you have already seen a four of a kind, then it is. It can happen anytime. I had KK on Full tilt and flopped 2 K's and then had a 2 6 and flopped a set of 2's. This doesnt answer your question..

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