Probability.
Probability Omaha Hold’em
I have developed several tools for Texas Hold'em, but I have also developed a similar tool for Omaha Hold'em, so I will provide a link to it. In addition, I will provide an overview of the rules and features of Omaha Hold'em.
Probability VPIP and Hand Range: Omaha Hold’em
Assuming that players call or raise in order of the hands with the highest winning probability, we will consider what the hand ranges are for players with different VPIP in Omaha Hold'em.
Probability Omaha Hold’em Hand Combinations
We will consider how to represent hand combinations in Omaha Hold'em.
Probability Short Deck Hold’em
I have developed several tools for Texas Hold'em, but I have also developed a similar tool for Short Deck Hold'em, so I will post a link to it. In addition, I will outline the rules and features of Short Deck Hold'em.
Probability Antes and Preflop Strategy
Using the simulation created in the previous post, we can find the strategy with the highest expected value when a specific hand is dealt. In this article, we will try to see how much the preflop strategy differs with and without an ante.
Probability Preflop Strategy and Playing Style
We use Monte Carlo simulation to verify the validity of the claim made in poker books that players can gain an advantage by limiting their VPIP when playing the game.
Probability VPIP and Hand Range
Assuming that players call or raise in order of the hands with the highest chance of winning, we will consider what the hand ranges of players with different VPIPs would be.
Probability Preflop All-In and the Optimal Stopping Problem
We will consider a simplified example problem regarding preflop all-in and what hand range to enter with.
Probability Model of the NIT in Texas Hold’em
We will consider the algorithm of actions of tight passive players, known as NITs, in Texas Hold'em. It only requires certain algorithmic actions, but we have implemented the game, so why not give it a try?
Probability Bet Sizing in Texas Hold’em
There is a brief, fragmented discussion of bet sizing, pocket pairs, and preflop all-ins, plus some characteristics and strategies for dealing with tight passive players.