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.
2025.04.21
Probability
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.
2025.04.16
Probability
Probability

Omaha Hold’em Hand Combinations

We will consider how to represent hand combinations in Omaha Hold'em.
2025.04.13
Probability
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.
2025.04.06
Probability
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.
2025.03.31
Probability
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.
2025.03.22
Probability
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.
2025.03.15
Probability
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.
2025.03.08
Probability
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?
2025.02.28
Probability
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.
2025.02.22
Probability
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