Lucky Red Casino

Last Updated: March 24, 2010

Casino Hold’em

Wizard Endorsed Internet Casinos

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, and Galewind Software.

Rules

The rules are as follows.

  1. Play begins with each player making an Ante wager.
  2. The dealer gives the player and himself two hole cards and three community cards face up on the table.
  3. 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.
  4. The dealer will then deal two more community cards, for a total of five. The dealer will then turn over his own two cards.
  5. Both hands shall be scored according the highest poker value of the two hole cards and five community cards.
  6. 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.
  7. If the dealer qualifies and beats the player, then the player will lose both the Ante and Call.
  8. 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.
  9. If the dealer qualifies and the player ties the dealer then both Ante and Call bets will push.

Ante Pay Table

Hand Table 1 Table 2 Table 3
Royal flush 20 to 1 25 to 1 100 to 1
Straight flush 20 to 1 25 to 1 20 to 1
4 of a kind 10 to 1 12 to 1 10 to 1
Full house 3 to 1 3 to 1 3 to 1
Flush 2 to 1 2 to 1 2 to 1
All other 1 to 1 1 to 1 1 to 1

House Edge

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%.

Ante Pay Table

Hand Pays Combinations Probability Return
Player wins with royal flush 102 736259040 0.000026 0.002700
Player has royal flush, dealer doesn't qualify 100 119892960 0.000004 0.000431
Player wins with straight flush 22 6001122284 0.000216 0.004747
Player has straight flush, dealer doesn't qualify 20 1089672828 0.000039 0.000784
Player wins with four of a kind 12 41419896552 0.001489 0.01787
Player has four of a kind, dealer doesn't qualify 10 909499320 0.000033 0.000327
Player wins with full house 5 589505037660 0.021195 0.105973
Player wins with flush 4 505131419580 0.018161 0.072645
Player wins with straight or less 3 6426670016572 0.23106 0.693181
Player has full house, dealer doesn't qualify 3 24601676832 0.000885 0.002654
Player has flush, dealer doesn't qualify 2 168883536432 0.006072 0.012144
Player has straight or less, dealer doesn't qualify 1 5521376219148 0.198512 0.198512
Tie 0 678596916580 0.024398 0
Player folds -1 5009067102600 0.180093 -0.180093
Player loses -3 8839701755612 0.317817 -0.953451
Total 27813810024000 1 -0.021576

The only pay table fully analyzed is pay table 3, 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 then 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 noeasy way to quantify optimal strategy for this game. I cansay the optimal strategy player will raise 82% of the time.So only in the worst 18% of hands should the player fold. Ingeneral these are when the player has two singletons in thehole that are low compared to the flop, with little or nochance for a straight or flush.

Side Bets

I am aware of two side bets, known as the AA+ as follows. Both are based on the poker value of the player's two cards and the three flop cards.

In version 1 a flush or higher pays 25 to 1 and a pair of aces to a straight pays 7 to 1. Following is the return table. The lower right cell shows a house edge of 6.40%.

AA+ Side Bet, version 1

Hand Pays Combinations Probability Return
Royal Flush 25 4 0.000002 0.000038
Straight flush 25 36 0.000014 0.000346
4 of a kind 25 624 0.000240 0.006002
Full house 25 3744 0.001441 0.036014
Flush 25 5108 0.001965 0.049135
Straight 7 10200 0.003925 0.027473
Three of a kind 7 54912 0.021128 0.147899
Two pair 7 123552 0.047539 0.332773
Pair of aces 7 84480 0.032505 0.227537
Other -1 2316300 0.891241 -0.891241
Total 2598960 1 -0.064023

Version 2 has the following return table. The lower right cell shows a house edge of 6.26%.

AA+ Side Bet, version 2

Hand Pays Combinations Probability Return
Royal Flush 100 4 0.000002 0.000154
Straight flush 50 36 0.000014 0.000693
4 of a kind 40 624 0.000240 0.009604
Full house 30 3744 0.001441 0.043217
Flush 20 5108 0.001965 0.039308
Straight 7 10200 0.003925 0.027473
Three of a kind 7 54912 0.021128 0.147899
Two pair 7 123552 0.047539 0.332773
Pair of aces 7 84480 0.032505 0.227537
Other -1 2316300 0.891241 -0.891241
Total 2598960 1 -0.062583

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.

Other Information

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.

Wizard Endorsed Internet Casinos

View Full Site View Mobile Site

Copyright © 1998-2014 Wizard of Odds Consulting, Inc. All rights reserved. Privacy & Terms. Site by Priva