Four Card Poker
Last Update: Jul 07, 2009
|Bonus Pay Table|
|Hand||Table 1||Table 2|
|Four of a kind||25||30|
|Three of a kind||2||2|
|Aces Up Pay Table|
|Hand||Table 1||Table 2||Table 3||Table 4||Table 5||Table 6||Table 7|
|Four of a kind||50 to 1||50 to 1||50 to 1||50 to 1||50 to 1||50 to 1||50 to 1|
|Straight flush||40 to 1||40 to 1||30 to 1||30 to 1||40 to 1||40 to 1||40 to 1|
|Three of a kind||9 to 1||7 to 1||9 to 1||7 to 1||8 to 1||8 to 1||7 to 1|
|Flush||6 to 1||6 to 1||6 to 1||6 to 1||5 to 1||6 to 1||5 to 1|
|Straight||4 to 1||5 to 1||4 to 1||5 to 1||4 to 1||4 to 1||4 to 1|
|Two pair||2 to 1||2 to 1||2 to 1||2 to 1||3 to 1||2 to 1||3 to 1|
|Pair of aces or better||1 to 1||1 to 1||1 to 1||1 to 1||1 to 1||1 to 1||1 to 1|
A simple strategy to this game, first proposed by Stanley Ko, is as follows.
- Raise 3X with a pair of tens or higher.
- Raise 1X with a pair of twos to nines.
- Fold all other.
According to the second edition of "Beyond Counting‚" by James Grosjean, this "simple strategy" results in a house edge of 3.396%.
In the same book, Grosjean presents a ten-step strategy, which also takes into consideration the dealer's up card, and the player's singletons. Out of respect of copyright, I will not re-publish his strategy. According to Grosjean, his ten-step strategy has a house edge of 2.840% under Bonus pay table 1, and 3.199% under pay table 2.
Aces Up Analysis
The next table shows the probability of each hand and the return under pay table 5 of the Aces Up side bet. I chose table 5 because that is the only one I knew to be in play at the time of this writing. The lower right cell shows a house edge of 3.89%.
|Return for Aces Up Pay Table 5|
|Four of a kind||624||0.00024||50||0.012005|
|Three of a kind||58656||0.022569||8||0.180552|
|Pair of aces||81096||0.031203||1||0.031203|
The next table shows the house edge according to all four Aces Up pay tables.
|Aces Up House Edge|
|Pay Table||House Edge|
Note: There is also a similar game called Crazy Four Poker.
Reason #3 why the Wizard likes Bovada:
In my opinion many online casinos are too stingy when setting the odds on their games. They think they will make more money that way but I believe they are misguided, because when players lose too quickly it’s not fun, and those players might not come back.
Bovada is one of the few casinos that understands this. They offer generous odds to let you play longer and get you a better chance of winning. Among their generous offerings are Full-Pay Jacks or Better returning 99.54%, six other video poker games paying over 99%, single-zero roulette, and my favorite, Pick ’em Poker, returning 99.95%!
Kudos to Bovada for not being afraid to give their players a good gamble.