Holdem Strategy

2021年5月13日
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*Texas Holdem Tips And Strategies
*Holdem Strategy Calculator
Jun 01, 2015 Ultimate Texas Hold’em (UTH) is one of the most popular novelty games in the market. For that reason, it is important to understand the multitude of ways that UTH may be vulnerable to advantage play. Ultimate Texas Hold’em Basic Strategy and House Edge. Welcome to leading online poker school website with the most comprehensive poker strategy guides, professional software & tools and vibrant poker forum community. Learn poker online, understand hands charts, check our Texas Hold’em lessons and launch your poker career. Join now, it’s free! Casino Hold ’em Introduction. Casino Hold ’Em is a poker variation, similar to Texas Hold ’Em, that is played in Egypt, Russia, South Africa, Holland, Latvia, Estonia, Ireland, Morocco, Malta, Ukraine, Panama, and Romania. It is also available to play online at casinos using Net Gaming, Real Time Gaming, Playtech, Gamesys, and Galewind Software. Texas Hold ’Em Poker is a game that rewards good play. There’s some luck involved, but a good player will beat bad players the vast majority of the time. Make sure you know the rules to increase your chances of winning.Introduction
Casino Hold ’Em is a poker variation, similar to Texas Hold ’Em, that is played in Egypt, Russia, South Africa, Holland, Latvia, Estonia, Ireland, Morocco, Malta, Ukraine, Panama, and Romania. It is also available to play online at casinos using Net Gaming, Real Time Gaming, Playtech, Gamesys, and Galewind Software.
The game also goes by the name Casino Hold ’Em Open. Under this name, the rules are the same except the player hole cards are dealt face up. In normal Casino Hold ’Em they are dealt face down.Rules
The rules are as follows.
*Play begins with each player making an Ante wager. There is also an optional Progressive Jackpot side bet.
*The dealer gives the player and himself two hole cards and three community cards face up on the table.
*Each player must decide to either fold or call. If the player folds, then he gives up his cards and his Ante bet. If the player calls, then the Call bet must be equal to two times the Ante bet.
*The dealer will then deal two more community cards, for a total of five. The dealer will then turn over his own two cards.
*Both hands shall be scored according the highest poker value of the two hole cards and five community cards.
*The dealer must have a pair of fours or better to qualify. If the dealer does not qualify then the Ante will pay according to the Ante pay table below and the Call bet will push.
*If the dealer qualifies and beats the player, then the player will lose both the Ante and Call.
*If the dealer qualifies and the player beats the dealer then the Ante will pay according to the Ante pay table below and the Call bet will pay 1 to 1.
*If the dealer qualifies and the player ties the dealer then both Ante and Call bets will push.
*The Progressive Jackpot side bet pays based on the player’s final seven card hand only, even if the player folded or loses to the dealer. More on this bet at the bottom of the page.Texas Holdem Tips And StrategiesAnte Pay TableHandTable 1Table 2Table 3Table 4Royal flush2025100100Straight flush202520494 of a kind10121017Full house3333Flush2222All other1111Caribbean Hold ’Em WarningHoldem Strategy Calculator
Be warned that Realtime Gaming has an imitation of this game called Caribbean Hold ’Em. However, they pay 1 to 1 on the Ante if the dealer doesn’t qualify, as opposed to the full Ante Bonus pay table. Nowhere is this rule change disclosed in their game rules, I might add.Analysis
The following table shows the number of combination, probability, and contribution to the return of all possible outcomes under ante pay table 3, which I’m told is the most frequently used. The lower right cell shows a house edge of 2.16%.Return Table — Pay Table 3Expand HandPaysCombinationsProbabilityReturnPlayer wins with royal flush1027362590400.0000260.002700Player has royal flush, dealer doesn’t qualify1001198929600.0000040.000431Player wins with straight flush2260011222840.0002160.004747Player has straight flush, dealer doesn’t qualify2010896728280.0000390.000784Player wins with four of a kind12414198965520.0014890.01787Player has four of a kind, dealer doesn’t qualify109094993200.0000330.000327Player wins with full house55895050376600.0211950.105973Player wins with flush45051314195800.0181610.072645Player wins with straight or less364266700165720.231060.693181Player has full house, dealer doesn’t qualify3246016768320.0008850.002654Player has flush, dealer doesn’t qualify21688835364320.0060720.012144Player has straight or less, dealer doesn’t qualify155213762191480.1985120.198512Tie06785969165800.0243980Player folds-150090671026000.180093-0.180093Player loses-388397017556120.317817-0.953451Total278138100240001-0.021576

The following return table is four pay table 4. The lower right cell shows a house edge of 0.35%. This pay table can be found at Internet casinos using Gamesys N.V. software titled ’Casino Hold ’Em with Zero House Edge.’ As you can see, the ’Zero House Edge’ part is a misnomer. The player must pay a 10% commission on any net gambling win per session. A ’session’ ends after a period of one hour with no bet or 24 hours, whichever happens first.
The owner of Casino Hold ’Em wishes for me to state that Gamesys N.V. is using his game without permission.Return Table — Pay Table 4Expand HandPaysCombinationsProbabilityReturnPlayer wins with royal flush102736,259,0400.0000260.002700Player has royal flush, dealer doesn’t qualify100119,892,9600.0000040.000431Player wins with straight flush516,031,161,9320.0002170.011059Player has straight flush, dealer doesn’t qualify491,096,758,9360.0000390.001932Player wins with four of a kind1941,421,337,0560.0014890.028295Player has four of a kind, dealer doesn’t qualify17909,634,1040.0000330.000556Player wins with full house5589,638,417,8160.0211990.105997Player wins with flush4505,727,272,9200.0181830.072730Player wins with straight or less36,429,871,396,5160.2311750.693526Player has full house, dealer doesn’t qualify324,601,738,1760.0008850.002654Player has flush, dealer doesn’t qualify2169,051,416,9120.0060780.012156Player has straight or less, dealer doesn’t qualify15,526,154,486,5120.1986840.198684Tie0679,763,871,1400.0244400.000000Player folds-14,984,375,678,9200.179205-0.179205Player loses-38,854,310,701,0600.318342-0.955027Total27,813,810,024,0001.000000-0.003511

I would like to thank Stephen How of Discount Gambling for supplying the combinations in pay table 4.
The only pay tables fully analyzed are 3 and 4, because it takes my computer about a month to cycle through all possible combinations. However, assuming the player was following optimal strategy under pay table 3 but playing under pay table 1 or 2, the house edge under pay table 1 would be 2.40%, and under pay table 2 would be 1.96%. The actual house edge under pay tables 1 and 2 would be slightly less or equal to these figures.Strategy
Unfortunately, there is no easy way to quantify optimal strategy for this game. I can say that the optimal strategy player will raise 82% of the time. So only in the worst 18% of hands should the player fold. In general these are when the player has two singletons in the hole that are low compared to the flop, with little or no chance for a straight or flush.Side Bets
The only side bet I am aware of for this game is known as the AA+. It pays based on the poker value of the player’s hand after the flop. There are three known pay tables, as follows:AA+ Pay TablesHandPay Table 1Pay Table 2Pay Table 3Royal Flush25100100Straight flush2550504 of a kind254040Full house253030Flush252020Straight7710Three of a kind778Two pair777Pair of aces777House edge6.40%6.26%2.97%
Pay tables 1 and 2 can be found in land casinos. Pay table 3 is used by Internet casinos using Gamesys software.
As an example, following is the full return table for Pay Table 1.AA+ Side Bet — Pay Table 1HandPaysCombinationsProbabilityReturnRoyal Flush2540.0000020.000038Straight flush25360.0000140.0003464 of a kind256240.0002400.006002Full house2537440.0014410.036014Flush2551080.0019650.049135Straight7102000.0039250.027473Three of a kind7549120.0211280.147899Two pair71235520.0475390.332773Pair of aces7844800.0325050.227537Other-123163000.891241-0.891241Total25989601-0.064023Progressive Jackpot
The Progressive Jackpot bet shall pay based on the player’s two hole cards and the five community cards only. It does not matter whether or not the player folds or loses to the dealer. In the event of a straight flush or royal flush on the board, all players who made the Progressive Jackpot bet shall split the win.
A casino game. The following table shows the probability and contribution to the return for each event. Obviously, the return from the top two awards will depend on the jackpot size, so are treated as unknowns.Progressive JackpotHandPaysCombinationsProbabilityReturnRoyal flushJackpot4,3240.000032xStraight flush10% of Jackpot37,2600.000279y4 of a kind$100.00224,8480.0016810.168100Full house$10.003,473,1840.0259610.259610Other$0.00130,044,9440.9720470.000000Total$0.00133,784,5601.0000000.487931+x+y
The table above shows the fixed wins return 42.77% of the amount bet. Assuming the player is playing alone, for every $1,000 in the meter the return will increase by 6.02%. Under the same assumption, the break-even point is $9,503.22. Due to jackpot sharing, the return will go down slightly according to the number of other players making the bet.Jumbo Jackpot
There is another progressive jackpot called the ’Jumbo Jackpot.’ The following table shows the wins, probabilities and the contribution to the return for each type of winning hand.Jumbo JackpotHandPaysCombinationsProbabilityReturn7-card straight flush?320.00000024x6-card straight flush$5,000.007520.000005620.0281055-card straight flush$250.0040,8000.000304970.0762424 of a kind$50.00224,8480.001680670.084034Full house$5.003,473,1840.025961020.129805Flush$4.004,047,6440.030254940.121020Straight$2.006,180,0200.046193820.092388Other$0.00119,817,2800.895598710.000000Total$0.00133,784,5601.000000000.531593
The return for the top award depends on the amount in the jackpot. I can say that all the other wins return 53.16% of money bet. For every 100,000 bet units in the meter the return increases by 2.39%. At a jackpot of $1,958,300.75 the return reaches 100%.Progressive Jackpot Side Bet
There is yet another side bet based on the player’s first two cards and the three-card flop. I put information about it in my page titled Casino Hold Em Progressive Jackpot Side Bet’.Casino Razz Bonus
I believe this side bet pays according to the poker value of the player’s two hole cards and the three cards on the flop -- the lower the poker value, the more it pays. For all the rules and analysis, please see my page on Casino Razz Bonus.Methodology
The above analysis was performed using a brute force combinatorial program that analyzed all 27,813,810,024,000 possible outcomes, and played every hand according to optimal player strategy. It took my computers about a month to crank though the 27.8 trillion hands.External Links
The web site for Casino Hold’em, as well as other games, is www.casinopokergames.com.
There is a good Casino Hold ’Em calculator at beatingbonuses.com.
Written by:Michael Shackleford
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