3 Card Poker Strategies
3 card poker strategies
Game theory applied to Texas hold 'em poker...?
I started trying to analyze poker strategy by modeling a 2-player, Texas hold 'em no-limit game. I started by identifying all two card starting hands and simulated lots of full games (millions) them to find probabilities of victory for any 2-cards vs. any other 2-cards.
Next I started to map out the ways the game could progress prior to the flop (raises, re-raises, re-re-raises, etc. and with several varying dollar amounts).
Now I am at a point where the complexity of posibilities is become enoormous and I am still dealing with pre-flop strategy (there are addition phases of the game as more cards are played if you don't know how to play hold 'em).
Anyhow, my question is how many people have tried something like this before and gotten lost/ given up along the way? I am starting to feel like I may never be able to fully model the game for 2 players and find an optimal strategy, let alone expand the optimal strategy to 3 to 10 players. Lost cause? Any tips? Thoughts? Thanks!
Sounds like you are basing your individual players by making them play all the same way. ie - raise with AA, reraise with KK, etc. Bet with top pair, or 2 pair, etc.
If you want to build a 10 player poker game you have to just program styles of which each player plays. Player A has an aggressive/tight style, Player B is loose/aggressive, Player C is loose/passive, Player D is tight/passive, etc.
I think the best structure to right this program would be to create playing styles, with hands that a loose/aggressive player will raise with (67os, A3c, etc), tight aggressive will raise from any position with AA, KK, QQ, AK, etc.
When the game starts make each playing style random to each player, so you never know when you first sit down who plays what style.
The reason this will be best will because when you play with any real 10 players you have to no clue how they play or what they will raise with, etc. Everyone plays different.
Three Card Poker
Once they have made the requisite bet, they are then dealt three cards by the house. Once they have looked at these three cards and determined the hand, they can either fold and lose their ante bet or they can play. If they choose to play, then they must make another bet that is equivalent to what they bet for the ante.
At the same time that the player was dealt a hand, the dealer was dealt a hand as well. If the player decides that they are going to play, then the next step is for the dealer to check their hand to see if the hand qualifies. The dealer's hand must be a queen high or better in order to qualify. If the hand does not qualify, then the players ante bet wins and their play bet pushes. If the dealer's hand qualifies, but losers to the player's hand, then the player wins on both bets. If the dealer's hand qualifies and ties then the player pushes both bets and finally if the dealer's hand qualifies and wins the player loses on both of their bets.
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Hand Rankings
A three card straight flush (occurring about 0.21% of the time) is the highest hand in three card poker. It is then followed by three of a kind (0.23%), a straight (3.25%), a flush (4.95%), a pair (16.94%) and then a high card (74.39%).
Pair Plus Bets
In addition to their ante bets and play bets, in three card poker the player also has a chance of making a pair plus bet. This is basically a bet on their hand being a pair or better. If their hand is not at least a pair, then they lose the hand. If their hand is a pair, they get paid at even money. If their hand is a flush, they get paid 4 times their bet. If their hand is a straight, they get paid 6 times their bet. If their hand is trips, they get paid 30 times their bet and finally if their hand is a straight flush they get paid 40 times their bet.
General Strategy
While there is no set strategy when it comes to playing Three Card Poker, at the same time there are certainly things that you can do in order to minimize the edge that the house has over you. One of those things is avoiding the pair plus bet, as the minimum average advantage that the house would have on a pair plus bet is around 2.5%. You can confirm this yourself by taking a look at the payouts and percentages listed above and you will see that the house wins on every single proposition. Also, the Three Card Poker strategy in the ante and play section that reduces the house advantage is to play whenever you have a hand of Q-6 or higher as your top two cards; fold everything else.
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