Odds Of Getting 4 Of A Kind Texas Holdem
6 Card Poker Hand Odds 7 Card Poker Hand Odds Texas Hold'em Pre Flop Odds: Please Also See. 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.
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.
1.8 Preflop Texas Hold’em Odds; 1.9 Odds of connecting with the Flop in Hold’em; 1.10 Odds On the Flop in Texas Hold’em. 1.10.1 Outs; 1.10.2 Straight and Flush Draw Odds; 1.10.3 On the flop, when you have: 1.11 Odds of hitting a hand by the river from the flop. 1.11.1 On the flop, when you have: 1.12 All-in One-on-One in Texas Hold’em. Possible 4 of a kinds = Possible ways to get 4 cards of one kind and any 5th card Possible 4 of a kinds = 13 different 4 of a kind choices. 48 remaining 5th cards = 624 Using our GCF Calculator, we see that 624 and 2598960 can be reduced by 624 Reducing top and bottom by 624, we get.
Following are the rules for a type 1 bad beat.
- 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.
- Both the bad beat and winning hand must make use of both hole cards.
- 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.
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 Hand | Type 1 | Type 2 | Type 3 |
|---|---|---|---|
| Any full house | 0.00203329 | 0.00050305 | 0.00049508 |
| Full house, three 3's or higher | 0.00189512 | 0.00046978 | 0.00046204 |
| Full house, three 4's or higher | 0.00175159 | 0.00043444 | 0.00042728 |
| Full house, three 5's or higher | 0.00160333 | 0.00039706 | 0.00039028 |
| Full house, three 6's or higher | 0.00144965 | 0.00035741 | 0.00035145 |
| Full house, three 7's or higher | 0.0012936 | 0.00031767 | 0.00031266 |
| Full house, three 8's or higher | 0.00113492 | 0.00027775 | 0.00027355 |
| Full house, three 9's or higher | 0.00097379 | 0.00023772 | 0.00023445 |
| Full house, three T's or higher | 0.00081113 | 0.00019759 | 0.00019503 |
| Full house, three J's or higher | 0.00064763 | 0.00015708 | 0.00015509 |
| Full house, three Q's or higher | 0.00048533 | 0.00011838 | 0.00011682 |
| Full house, three K's or higher | 0.00032561 | 0.00008130 | 0.00008033 |
| Full house, three A's or higher | 0.00016964 | 0.00004608 | 0.00004579 |
| Full house, aces full of 3's or higher | 0.00016004 | 0.00004350 | 0.00004322 |
| Full house, aces full of 4's or higher | 0.00014986 | 0.00004080 | 0.00004052 |
| Full house, aces full of 5's or higher | 0.00013898 | 0.00003797 | 0.00003763 |
| Full house, aces full of 6's or higher | 0.00012749 | 0.00003504 | 0.00003469 |
| Full house, aces full of 7's or higher | 0.00011580 | 0.00003233 | 0.00003203 |
| Full house, aces full of 8's or higher | 0.00010347 | 0.00002957 | 0.00002925 |
| Full house, aces full of 9's or higher | 0.00009067 | 0.00002673 | 0.00002645 |
| Full house, aces full of T's or higher | 0.00007714 | 0.00002383 | 0.00002359 |
| Full house, aces full of J's or higher | 0.00006286 | 0.00002064 | 0.0000204 |
| Full house, aces full of Q's or higher | 0.00004793 | 0.00001738 | 0.00001721 |
| Full house, aces full of K's or higher | 0.00003230 | 0.00001408 | 0.00001402 |
| Any four of a kind | 0.00001601 | 0.00001086 | 0.00001081 |
| Four 3's or higher | 0.00001437 | 0.00000996 | 0.00000992 |
| Four 4's or higher | 0.0000127 | 0.00000900 | 0.00000902 |
| Four 5's or higher | 0.00001099 | 0.00000805 | 0.00000804 |
| Four 6's or higher | 0.00000934 | 0.00000705 | 0.00000707 |
| Four 7's or higher | 0.0000078 | 0.00000613 | 0.00000611 |
| Four 8's or higher | 0.0000064 | 0.00000525 | 0.00000519 |
| Four 9's or higher | 0.00000519 | 0.00000439 | 0.00000435 |
| Four T's or higher | 0.00000414 | 0.00000359 | 0.00000357 |
| Four J's or higher | 0.00000317 | 0.00000287 | 0.00000285 |
| Four Q's or higher | 0.00000246 | 0.00000226 | 0.00000224 |
| Four K's or higher | 0.00000193 | 0.00000180 | 0.00000179 |
| Four A's or higher | 0.00000157 | 0.00000149 | 0.00000147 |
| Any straight flush | 0.0000012 | 0.00000122 | 0.00000121 |
| Straight flush 6 high or higher | 0.00000105 | 0.00000107 | 0.00000105 |
| Straight flush 7 high or higher | 0.00000089 | 0.00000091 | 0.00000090 |
| Straight flush 8 high or higher | 0.00000073 | 0.00000074 | 0.00000074 |
| Straight flush 9 high or higher | 0.00000056 | 0.00000059 | 0.00000058 |
| Straight flush T high or higher | 0.00000041 | 0.00000043 | 0.00000042 |
| Straight flush J high or higher | 0.00000028 | 0.00000027 | 0.00000027 |
| Straight flush Q high or higher | 0.00000012 | 0.00000012 | 0.00000012 |
Methodology
The above tables are the result of random simulations of about 2.5 billion rounds each.
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.
Brian Alspach has a very good page on Texas Hold'em, including a section on the Bad Beat Jackpot at Party Poker.
Written by: Michael Shackleford
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.
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.
Odds Of 4 Of A Kind In Texas Hold'em
- 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.
In total, there are 2,598,960 possible poker hands with 52 cards.
Odds Of Getting 4 Of A Kind Texas Holdem Free
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.
Odds Of Getting 4 Of A Kind Texas Holdem Online
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.
Odds Of Getting 4 Of A Kind Texas Holdem Games
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.