04-02-2021

Odds Of Getting 4 Of A Kind Texas Holdem



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

A full house must be beaten by a four of a kind or higher. The rules for a type 2 bad beat are the same as type 1, plus any four of a kind, whether the bad beat hand or winning hand, must contain a pocket pair. The rules for a type 3 bad beat are the same as type 2, plus a full house may not make use of a three of a kind entirely on the board. 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.

acejackjb
Holdem
I believe you gave me the odds of holding a pocket pair. What are the odds of making four of a kind?
buzzpaff
Odds
.00327
acejackjb
Thanks, would it be correct to say that .00327* number of players* hands dealt=probability of someone hitting four of a kind?
Odds of getting 4 of a kind texas holdem free
buzzpaff
No it would not. Was hoping someone would challenge my answer. I have absolutely no idea !
acejackjb

Odds Of Getting 4 Of A Kind In Texas Holdem

Getting
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

Odds Of Getting 4 Of A Kind Texas Holdem Free

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.

Odds Of Getting 4 Of A Kind Texas Holdem Game

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

Playing poker is about playing the odds. The following list gives the odds for outcomes in Texas Hold’em hands. When you realize how heavily the odds are stacked against you, you may want to rethink going all-in before the flop with two suited cards. Use the odds to your advantage:

  • 1 percent (1-in-100): Percentage of time that no player holds an Ace or a King at a table in a 10-handed game

  • 1 percent (1-in-100): Percentage of time that if you hold two suited cards, you’ll flop a flush

  • 6 percent (about 1-in-20): Percentage of time that five community cards will give pocket suited cards a flush

  • 6 percent (about 1-in-20): Percentage of time that you’ll be dealt a pocket pair

  • 8 percent (about 1-in-12): Percentage of time that you’ll hit at least trips after having a pair on the flop

  • 12 percent (about 1-in-8): Percentage of time that you’ll flop trips if holding a pocket pair

  • 12 percent (about 1-in-8): Percentage of time that two more cards will flop in the same suit as a suited pocket pair

  • 19 percent (about 1-in-5): Percentage of time that the five community cards will at least trip your pocket pair

  • 32 percent (about 1-in-3): Percentage of time that you’ll pair one of your cards on the flop (with no pocket pair)

  • 33 percent (about 1-in-3): Percentage of time that you’ll make a full house or better after having trips on the flop

  • 35 percent (about 1-in-3): Percentage of time that you’ll make a flush on the turn or river if you have four cards to a flush after the flop