Chances Of Getting 4 Of A Kind In Texas Holdem

  

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.

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

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. As Bill F noted, the odds of getting four of a kind for any specific hand, before the deal, in holdem is approximately 0.17%. So, once you have gotten four of a kind on one hand, you have a 0.17%. Three of a Kind: 555AK: 2.11%. Two Pair: AAKK2: 4.7%. One Pair: 77253: 42%. Don’t catch anything: 2854K: 50%. Why Poker Odds Matter. Why Odds Matter To any good Texas Holdem players these odds come naturally. They may not know the exact percentage but they instinctively know their odds. Chance Of Getting 4 Of A Kind In Texas Holdem to players who create an account and make their first deposit at Vegas Hero. To be eligible to claim the New Player Welcome Bonuses, players must deposit a minimum of £10 in one instance, for each bonus.

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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Introduction

'Bad beat' is a term that can mean having an outstanding chance of winning a bet, only to still lose. The term can be used in any form of gambling but is most commonly applied to poker. Many poker rooms offer a progressive jackpot for very unlikely bad beats. Various other rules are added to ensure that only surprising bad beats win. Below I present tables of bad beat probabilities, starting with the most liberal rules, and ending with the most stringent. The most stringent rules, the 'Bad Beat Type 3', are the most common, in my experience.

Following are the rules for a type 1 bad beat.

  1. Both the bad beat and winning hand must be the best possible combination of five cards. In cases where the same hand can be created multiple ways (for example player has AK and the board shows AAKKQ) the player's hole cards will take priority.
  2. Both the bad beat and winning hand must make use of both hole cards.
  3. 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.

In my experience, is the most common format for bad beat rules is type 3. The additional rule for type 3 makes very little difference, compared to type 2.

Chances of getting 4 of a kind in texas holdem free

The following table shows the probability of each bad beat hand under all three types of rules. The table is based on a ten-player game in which nobody ever folds. The probabilities are for any pair of players meeting the qualifying rules. If you want to know YOUR probability of winning, you should divide the probability in the table by 10.

Bad Beat Probabilities

Bad Beat HandType 1Type 2Type 3
Any full house0.002033290.000503050.00049508
Full house, three 3's or higher0.001895120.000469780.00046204
Full house, three 4's or higher0.001751590.000434440.00042728
Full house, three 5's or higher0.001603330.000397060.00039028
Full house, three 6's or higher0.001449650.000357410.00035145
Full house, three 7's or higher0.00129360.000317670.00031266
Full house, three 8's or higher0.001134920.000277750.00027355
Full house, three 9's or higher0.000973790.000237720.00023445
Full house, three T's or higher0.000811130.000197590.00019503
Full house, three J's or higher0.000647630.000157080.00015509
Full house, three Q's or higher0.000485330.000118380.00011682
Full house, three K's or higher0.000325610.000081300.00008033
Full house, three A's or higher0.000169640.000046080.00004579
Full house, aces full of 3's or higher0.000160040.000043500.00004322
Full house, aces full of 4's or higher0.000149860.000040800.00004052
Full house, aces full of 5's or higher0.000138980.000037970.00003763
Full house, aces full of 6's or higher0.000127490.000035040.00003469
Full house, aces full of 7's or higher0.000115800.000032330.00003203
Full house, aces full of 8's or higher0.000103470.000029570.00002925
Full house, aces full of 9's or higher0.000090670.000026730.00002645
Full house, aces full of T's or higher0.000077140.000023830.00002359
Full house, aces full of J's or higher0.000062860.000020640.0000204
Full house, aces full of Q's or higher0.000047930.000017380.00001721
Full house, aces full of K's or higher0.000032300.000014080.00001402
Any four of a kind0.000016010.000010860.00001081
Four 3's or higher0.000014370.000009960.00000992
Four 4's or higher0.00001270.000009000.00000902
Four 5's or higher0.000010990.000008050.00000804
Four 6's or higher0.000009340.000007050.00000707
Four 7's or higher0.00000780.000006130.00000611
Four 8's or higher0.00000640.000005250.00000519
Four 9's or higher0.000005190.000004390.00000435
Four T's or higher0.000004140.000003590.00000357
Four J's or higher0.000003170.000002870.00000285
Four Q's or higher0.000002460.000002260.00000224
Four K's or higher0.000001930.000001800.00000179
Four A's or higher0.000001570.000001490.00000147
Any straight flush0.00000120.000001220.00000121
Straight flush 6 high or higher0.000001050.000001070.00000105
Straight flush 7 high or higher0.000000890.000000910.00000090
Straight flush 8 high or higher0.000000730.000000740.00000074
Straight flush 9 high or higher0.000000560.000000590.00000058
Straight flush T high or higher0.000000410.000000430.00000042
Straight flush J high or higher0.000000280.000000270.00000027
Straight flush Q high or higher0.000000120.000000120.00000012

Chances Of Getting 4 Of A Kind In Texas Holdem Games

Methodology

The above tables are the result of random simulations of about 2.5 billion rounds each.

Chances of getting 4 of a kind in texas holdem game

Further Reading

The video poker variant World Series of Poker - Final Table Bonus features a bad beat jackpot. See my section on that game for more information.

Holdem

Chances Of Getting 4 Of A Kind In Texas Holdem Game

Chances of getting 4 of a kind in texas holdem gameChances Of Getting 4 Of A Kind In Texas Holdem

Odds Of 4 Of A Kind In Texas Hold'em

Brian Alspach has a very good page on Texas Hold'em, including a section on the Bad Beat Jackpot at Party Poker.

Chances Of Getting 4 Of A Kind In Texas Holdem Free


Written by: Michael Shackleford