Texas Holdem 4 Of A Kind
2021年4月7日Register here: http://gg.gg/oymt4
Introduction
*Texas Holdem 4 Of A Kind On The Table
*Texas Holdem 4 Of A Kind Type
*Texas Holdem 4 Of A Kind One
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. 4 of Kind A Straight Flush is the best poker hand category, and the Royal Flush serves as an Ace-high Straight Flush. One rung beneath that is Four of a Kind. This poker hand includes 4 cards of equal rank. Four Aces beats any other four of a kind, four Kings beats four queens or less and so on. The only tricky part of a tie breaker with four of a kind is when the four falls on the table in a game of Texas Holdem and is therefore shared between two (or more) players.
’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.
*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 ProbabilitiesTexas Holdem 4 Of A Kind On The TableBad Beat HandType 1Type 2Type 3Any full house0.002033290.000503050.00049508Full house, three 3’s or higher0.001895120.000469780.00046204Full house, three 4’s or higher0.001751590.000434440.00042728Full house, three 5’s or higher0.001603330.000397060.00039028Full house, three 6’s or higher0.001449650.000357410.00035145Full house, three 7’s or higher0.00129360.000317670.00031266Full house, three 8’s or higher0.001134920.000277750.00027355Full house, three 9’s or higher0.000973790.000237720.00023445Full house, three T’s or higher0.000811130.000197590.00019503Full house, three J’s or higher0.000647630.000157080.00015509Full house, three Q’s or higher0.000485330.000118380.00011682Full house, three K’s or higher0.000325610.000081300.00008033Full house, three A’s or higher0.000169640.000046080.00004579Full house, aces full of 3’s or higher0.000160040.000043500.00004322Full house, aces full of 4’s or higher0.000149860.000040800.00004052Full house, aces full of 5’s or higher0.000138980.000037970.00003763Full house, aces full of 6’s or higher0.000127490.000035040.00003469Full house, aces full of 7’s or higher0.000115800.000032330.00003203Full house, aces full of 8’s or higher0.000103470.000029570.00002925Full house, aces full of 9’s or higher0.000090670.000026730.00002645Full house, aces full of T’s or higher0.000077140.000023830.00002359Full house, aces full of J’s or higher0.000062860.000020640.0000204Full house, aces full of Q’s or higher0.000047930.000017380.00001721Full house, aces full of K’s or higher0.000032300.000014080.00001402Any four of a kind0.000016010.000010860.00001081Four 3’s or higher0.000014370.000009960.00000992Four 4’s or higher0.00001270.000009000.00000902Four 5’s or higher0.000010990.000008050.00000804Four 6’s or higher0.000009340.000007050.00000707Four 7’s or higher0.00000780.000006130.00000611Four 8’s or higher0.00000640.000005250.00000519Four 9’s or higher0.000005190.000004390.00000435Four T’s or higher0.000004140.000003590.00000357Four J’s or higher0.000003170.000002870.00000285Four Q’s or higher0.000002460.000002260.00000224Four K’s or higher0.000001930.000001800.00000179Four A’s or higher0.000001570.000001490.00000147Any straight flush0.00000120.000001220.00000121Straight flush 6 high or higher0.000001050.000001070.00000105Straight flush 7 high or higher0.000000890.000000910.00000090Straight flush 8 high or higher0.000000730.000000740.00000074Straight flush 9 high or higher0.000000560.000000590.00000058Straight flush T high or higher0.000000410.000000430.00000042Straight flush J high or higher0.000000280.000000270.00000027Straight flush Q high or higher0.000000120.000000120.00000012Methodology
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.Texas Holdem 4 Of A Kind Type
Brian Alspach has a very good page on Texas Hold’em, including a section on the Bad Beat Jackpot at Party Poker.Texas Holdem 4 Of A Kind One
Written by: Michael Shackleford
Register here: http://gg.gg/oymt4
https://diarynote.indered.space
Introduction
*Texas Holdem 4 Of A Kind On The Table
*Texas Holdem 4 Of A Kind Type
*Texas Holdem 4 Of A Kind One
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. 4 of Kind A Straight Flush is the best poker hand category, and the Royal Flush serves as an Ace-high Straight Flush. One rung beneath that is Four of a Kind. This poker hand includes 4 cards of equal rank. Four Aces beats any other four of a kind, four Kings beats four queens or less and so on. The only tricky part of a tie breaker with four of a kind is when the four falls on the table in a game of Texas Holdem and is therefore shared between two (or more) players.
’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.
*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 ProbabilitiesTexas Holdem 4 Of A Kind On The TableBad Beat HandType 1Type 2Type 3Any full house0.002033290.000503050.00049508Full house, three 3’s or higher0.001895120.000469780.00046204Full house, three 4’s or higher0.001751590.000434440.00042728Full house, three 5’s or higher0.001603330.000397060.00039028Full house, three 6’s or higher0.001449650.000357410.00035145Full house, three 7’s or higher0.00129360.000317670.00031266Full house, three 8’s or higher0.001134920.000277750.00027355Full house, three 9’s or higher0.000973790.000237720.00023445Full house, three T’s or higher0.000811130.000197590.00019503Full house, three J’s or higher0.000647630.000157080.00015509Full house, three Q’s or higher0.000485330.000118380.00011682Full house, three K’s or higher0.000325610.000081300.00008033Full house, three A’s or higher0.000169640.000046080.00004579Full house, aces full of 3’s or higher0.000160040.000043500.00004322Full house, aces full of 4’s or higher0.000149860.000040800.00004052Full house, aces full of 5’s or higher0.000138980.000037970.00003763Full house, aces full of 6’s or higher0.000127490.000035040.00003469Full house, aces full of 7’s or higher0.000115800.000032330.00003203Full house, aces full of 8’s or higher0.000103470.000029570.00002925Full house, aces full of 9’s or higher0.000090670.000026730.00002645Full house, aces full of T’s or higher0.000077140.000023830.00002359Full house, aces full of J’s or higher0.000062860.000020640.0000204Full house, aces full of Q’s or higher0.000047930.000017380.00001721Full house, aces full of K’s or higher0.000032300.000014080.00001402Any four of a kind0.000016010.000010860.00001081Four 3’s or higher0.000014370.000009960.00000992Four 4’s or higher0.00001270.000009000.00000902Four 5’s or higher0.000010990.000008050.00000804Four 6’s or higher0.000009340.000007050.00000707Four 7’s or higher0.00000780.000006130.00000611Four 8’s or higher0.00000640.000005250.00000519Four 9’s or higher0.000005190.000004390.00000435Four T’s or higher0.000004140.000003590.00000357Four J’s or higher0.000003170.000002870.00000285Four Q’s or higher0.000002460.000002260.00000224Four K’s or higher0.000001930.000001800.00000179Four A’s or higher0.000001570.000001490.00000147Any straight flush0.00000120.000001220.00000121Straight flush 6 high or higher0.000001050.000001070.00000105Straight flush 7 high or higher0.000000890.000000910.00000090Straight flush 8 high or higher0.000000730.000000740.00000074Straight flush 9 high or higher0.000000560.000000590.00000058Straight flush T high or higher0.000000410.000000430.00000042Straight flush J high or higher0.000000280.000000270.00000027Straight flush Q high or higher0.000000120.000000120.00000012Methodology
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.Texas Holdem 4 Of A Kind Type
Brian Alspach has a very good page on Texas Hold’em, including a section on the Bad Beat Jackpot at Party Poker.Texas Holdem 4 Of A Kind One
Written by: Michael Shackleford
Register here: http://gg.gg/oymt4
https://diarynote.indered.space
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