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Probability Of Getting 4 Of A Kind In Texas Holdem

4/10/2022
Probability Of Getting 4 Of A Kind In Texas Holdem Average ratng: 7,3/10 1271 reviews
  1. Probability Of Getting 4 Of A Kind In Texas Holdem Games
  2. Probability Of Getting 4 Of A Kind In Texas Holdem Free
  3. Probability Of Getting 4 Of A Kind In Texas Holdem Online

Four of a kind: Four cards of the same rank, plus any fifth card. For example Q, Q, Q, Q,4. Full house: Three of a kind and a pair. For example 6, 6, 6, J, J. Flush: Any five cards of the same suit, except for a higher ranking straight flush. For example A, Q, 8, 4, 3. Straight: Five consecutive cards, except for a higher ranking straight flush. Probability that there will be a 4 of a kind on the board in the form MMMMX is P=.00004495. Adding all 5 of these probabilities gives us a total probability that there will be any 4 of a kind on the board when holding a non-pair in the hole, or P=.0002297. Analyze paired hole cards. Scenario 1: XMMMM. Start with paired hole cards P. It looks like the probability of being dealt a pocket pair (0.0588) then getting 4 of kind in the next 5 cards (0.00816) is about 0.00048, or 1 in 2083. You can estimate the probability of anyone getting 4 of kind using your formula, but I don't think it's exactly correct. Recall the poker hand is always five cards. After taking out the four cards we want, there are 48 cards left in the deck. Thus there are actually 13. 48 = 624 four of a kind hands. The chance of getting this on a straight deal is then 624 / 2598960 = 0.024%. In Texas Hold'em the situation changes only a little. Omaha Odds and Ranking for Four Of A Kind, Off Suit. Number of Hands: 13 of 270.725 Odds: 20.824/1. Different Ranks: 13.

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.

Probability Of Getting 4 Of A Kind In Texas Holdem

Did You Know?

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.

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.

Holdem

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.

acejackjb
What are the exact odds of making any four of a kind versus any two,three,four or one specific four of a kind, holding a pocket pair in Texas Holdem?
buzzpaff
16.473429
acejackjb
I believe you gave me the odds of holding a pocket pair. What are the odds of making four of a kind?
buzzpaff
.00327

Probability Of Getting 4 Of A Kind In Texas Holdem Games

acejackjb
Thanks, would it be correct to say that .00327* number of players* hands dealt=probability of someone hitting four of a kind?

Probability Of Getting 4 Of A Kind In Texas Holdem Free

buzzpaff

Probability Of Getting 4 Of A Kind In Texas Holdem Online

No it would not. Was hoping someone would challenge my answer. I have absolutely no idea !
acejackjb
I believe you are very close!
buzzpaff
You are new here or you would know I just make up numbers. ME, I am not. SIGH
Nareed
Has anyone else noticed a pattern where a new user, with a handle all in lower case, asks a very specific question on a topic, comments on replies, and then is never heard from again?
Not that I mind. But if it's just one person, there's no need for the multiple identities.
dwheatley
It looks like the probability of being dealt a pocket pair (0.0588) then getting 4 of kind in the next 5 cards (0.00816) is about 0.00048, or 1 in 2083.
You can estimate the probability of anyone getting 4 of kind using your formula, but I don't think it's exactly correct
Wisdom is the quality that keeps you out of situations where you would otherwise need it