Poker Odds
Learn your poker's hand strength and its matchup, given the information of shown cards.
What Is This About?
Calculate poker hand probabilities and equity in real-time. This interactive calculator helps you understand the mathematical foundation of poker strategy by showing your hand's strength and matchup against opponents.
The Challenge: Understanding Poker Probability
Poker involves complex probability calculations:
- Hand Strength: Probability of making different hand rankings
- Equity: Your share of the pot based on win probability
- Opponent Ranges: Accounting for what hands opponents might have
- Board Texture: How community cards affect hand strength
Understanding these probabilities is essential for making optimal decisions in poker.
Who Is This For?
This calculator is designed for:
- Poker Players: Learning hand strength and equity calculations
- Poker Coaches: Teaching probability concepts to students
- Game Developers: Implementing poker probability systems
- Anyone Learning Probability: Practical application of combinatorics and probability
- Poker Enthusiasts: Understanding the math behind poker strategy
Poker Odds Calculator
Number of Players: 2
Player Hands
Community Cards (Board)
Simulation Options
Tip
With more players, unprofitable hands occurs more often, but profitable hands net you bigger equity of the table.
Warning
Do not use simulated odds to make betting decisions! It requires you to have perfect information of every card your opponent has been dealt.
In practice, you only know what card you have. Refer to equity table for PRE-FLOP odds.
How it works
Understanding Poker Probability
Poker probability involves several key concepts:
- Combinatorics: Calculating possible card combinations
- Hand Rankings: Understanding relative hand strength
- Equity Calculation: Win probability × pot share
- Monte Carlo Simulation: Simulating many hands to estimate probabilities
Key Calculations
- Total Combinations:
C(52, 2) = 1,326possible starting hands - Hand Probability:
(Ways to make hand) / (Total possible hands) - Equity:
Win Probability × Pot Size - Expected Value:
Equity - Cost to Play
Implementation Notes
- Use Monte Carlo simulation for post-flop calculations
- Pre-flop equity can be calculated exactly using combinatorics
- Account for opponent ranges (not just specific hands)
- Consider board texture and outs
Has This Helped You?
If you found this poker odds calculator useful:
- Share it with your poker community or on social media
- Bookmark this page for future reference
- Write backlinks to this page when referencing poker probability
This calculator provides insights into:
- Hand strength and equity calculations
- Pre-flop hand rankings
- Probability distributions in poker
- Mathematical foundations of poker strategy
For Those Who Want to Do It Properly Themselves
- Combinatorics: Calculating card combinations (
C(n, k) = n! / (k!(n-k)!)) - Hand Evaluation: Ranking hands (pair, two pair, flush, etc.)
- Equity Calculation: Simulating many hands to estimate win probability
- Monte Carlo Method: Random sampling to approximate probabilities
You can reference the calculator components to understand:
- How to evaluate poker hands
- How to calculate equity using simulation
- How to visualize hand strength
- How to implement pre-flop equity tables
Important: This calculator assumes perfect information. In real poker, you must account for opponent ranges, betting patterns, and game theory optimal (GTO) strategies.